TSTP Solution File: GRP375-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Fri May 3 02:22:24 EDT 2024
% Result : Unsatisfiable 49.61s 7.71s
% Output : CNFRefutation 49.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_89,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X1) != X3
| multiply(X1,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c9) != sk_c8
| multiply(sk_c8,sk_c10) != sk_c9
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c9
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_91,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_92,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_93,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c10
| multiply(inverse(X1),sk_c9) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| multiply(sk_c8,sk_c10) != sk_c9
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_89]) ).
cnf(c_474,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_93]) ).
cnf(c_475,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_93]) ).
cnf(c_476,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_93]) ).
cnf(c_477,negated_conjecture,
( multiply(sk_c8,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_93]) ).
cnf(c_478,plain,
multiply(sk_c8,sk_c10) = sP3_iProver_def,
definition ).
cnf(c_479,plain,
inverse(sk_c10) = sP4_iProver_def,
definition ).
cnf(c_483,plain,
multiply(sk_c7,sk_c9) = sP8_iProver_def,
definition ).
cnf(c_484,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_485,plain,
multiply(sk_c4,sk_c7) = sP10_iProver_def,
definition ).
cnf(c_486,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_487,plain,
multiply(sk_c3,sk_c9) = sP12_iProver_def,
definition ).
cnf(c_488,plain,
inverse(sk_c2) = sP13_iProver_def,
definition ).
cnf(c_489,plain,
multiply(sk_c2,sk_c10) = sP14_iProver_def,
definition ).
cnf(c_490,plain,
inverse(sk_c1) = sP15_iProver_def,
definition ).
cnf(c_491,plain,
multiply(sk_c1,sk_c10) = sP16_iProver_def,
definition ).
cnf(c_492,negated_conjecture,
( sP3_iProver_def != sk_c9
| sP4_iProver_def != sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_477,c_479,c_478]) ).
cnf(c_493,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c10
| multiply(inverse(X1),sk_c9) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_476]) ).
cnf(c_495,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_475]) ).
cnf(c_496,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_474]) ).
cnf(c_500,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_85,c_483]) ).
cnf(c_501,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_84,c_484]) ).
cnf(c_502,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP10_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_83,c_485]) ).
cnf(c_503,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_82,c_486]) ).
cnf(c_504,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_81,c_487]) ).
cnf(c_505,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP13_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_80,c_488]) ).
cnf(c_506,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_79,c_489]) ).
cnf(c_510,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_511,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_512,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_513,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_514,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_515,negated_conjecture,
( sP13_iProver_def = sk_c10
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_516,negated_conjecture,
( sP14_iProver_def = sk_c9
| sP15_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_520,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_521,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_522,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_523,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_524,negated_conjecture,
( sP12_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_525,negated_conjecture,
( sP13_iProver_def = sk_c10
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_526,negated_conjecture,
( sP14_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_530,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_531,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_532,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP10_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_533,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_534,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_535,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP13_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_536,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_537,plain,
X0 = X0,
theory(equality) ).
cnf(c_538,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_545,plain,
( multiply(sk_c10,sk_c9) != sk_c8
| inverse(sk_c10) != sk_c9
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_495]) ).
cnf(c_839,plain,
( multiply(sP12_iProver_def,sk_c10) = sP3_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_478]) ).
cnf(c_866,plain,
( sk_c9 = sP3_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_506,c_503]) ).
cnf(c_977,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_511,c_485]) ).
cnf(c_979,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_501,c_485]) ).
cnf(c_989,plain,
( multiply(sk_c3,sP14_iProver_def) = sP12_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_506,c_487]) ).
cnf(c_991,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_487]) ).
cnf(c_1005,plain,
( multiply(sk_c2,sP15_iProver_def) = sP14_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_510,c_489]) ).
cnf(c_1016,plain,
multiply(sP4_iProver_def,sk_c10) = identity,
inference(superposition,[status(thm)],[c_479,c_91]) ).
cnf(c_1017,plain,
multiply(sP13_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_488,c_91]) ).
cnf(c_1018,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_486,c_91]) ).
cnf(c_1019,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_484,c_91]) ).
cnf(c_1022,plain,
multiply(sP15_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_490,c_91]) ).
cnf(c_1023,plain,
( sk_c9 != X0
| sP3_iProver_def != X0
| sP3_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1032,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1041,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_513,c_487]) ).
cnf(c_1060,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_1061,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1066,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1060]) ).
cnf(c_1067,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1069,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1078,plain,
( multiply(sP12_iProver_def,sk_c10) = sP3_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_514,c_478]) ).
cnf(c_1086,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_515,c_491]) ).
cnf(c_1112,plain,
( sk_c10 = sP15_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_516,c_513]) ).
cnf(c_1113,plain,
( multiply(sk_c3,sP14_iProver_def) = sP12_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_516,c_487]) ).
cnf(c_1135,plain,
( X0 != sP14_iProver_def
| sk_c9 != sP14_iProver_def
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_1155,plain,
( X0 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_1163,plain,
( X0 != sP11_iProver_def
| sk_c9 != sP11_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1165,plain,
( X0 != sP14_iProver_def
| sk_c9 != sP14_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1207,plain,
( sP3_iProver_def != X0
| sP14_iProver_def != X0
| sP3_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1228,plain,
( sk_c10 = sP8_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_520,c_500]) ).
cnf(c_1254,plain,
( inverse(X0) != X1
| sk_c10 != X1
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1270,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| X1 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1285,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_521,c_485]) ).
cnf(c_1316,plain,
( sk_c10 = sP10_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_502]) ).
cnf(c_1362,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1364,plain,
( inverse(sk_c10) != sP4_iProver_def
| sk_c10 != sP4_iProver_def
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1254]) ).
cnf(c_1369,plain,
( inverse(sk_c2) != sP13_iProver_def
| sk_c10 != sP13_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1254]) ).
cnf(c_1384,plain,
( multiply(sk_c3,sP16_iProver_def) = sP12_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_523,c_487]) ).
cnf(c_1387,plain,
( sk_c10 = sP13_iProver_def
| sk_c9 = sP11_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_523,c_505]) ).
cnf(c_1427,plain,
( multiply(sP12_iProver_def,sk_c10) = sP3_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_524,c_478]) ).
cnf(c_1443,plain,
( multiply(sk_c3,sP16_iProver_def) = sP12_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_487]) ).
cnf(c_1446,plain,
( sk_c10 = sP13_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_505]) ).
cnf(c_1471,plain,
( X0 != X1
| sP14_iProver_def != X1
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1495,plain,
( sk_c9 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1163]) ).
cnf(c_1496,plain,
sP11_iProver_def = sP11_iProver_def,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1513,plain,
( multiply(sk_c3,sP16_iProver_def) = sP12_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_487]) ).
cnf(c_1516,plain,
( sk_c10 = sP13_iProver_def
| sk_c9 = sP14_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_505]) ).
cnf(c_1547,plain,
( sk_c9 != sP14_iProver_def
| sP14_iProver_def != sP14_iProver_def
| sP14_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1165]) ).
cnf(c_1548,plain,
sP14_iProver_def = sP14_iProver_def,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1552,plain,
( sk_c9 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1023]) ).
cnf(c_1553,plain,
( X0 != sP3_iProver_def
| sk_c9 != sP3_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1556,plain,
( sk_c10 != sP3_iProver_def
| sk_c9 != sP3_iProver_def
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1553]) ).
cnf(c_1580,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1581,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1631,plain,
( sP3_iProver_def != sk_c9
| sP14_iProver_def != sk_c9
| sP3_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_1657,plain,
( sk_c10 = sP8_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_520]) ).
cnf(c_1660,plain,
( multiply(sk_c3,sP4_iProver_def) = sP12_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_487]) ).
cnf(c_1710,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| multiply(identity,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1715,plain,
( multiply(identity,sk_c9) != sk_c9
| X0 != sk_c9
| X0 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1270]) ).
cnf(c_1723,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1728,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1730,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_1742,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_531,c_485]) ).
cnf(c_1774,plain,
( sk_c10 = sP10_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_522]) ).
cnf(c_1778,plain,
( multiply(sk_c3,sP4_iProver_def) = sP12_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_487]) ).
cnf(c_1783,plain,
( sk_c10 = sP10_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_502]) ).
cnf(c_1821,plain,
( X0 != sP16_iProver_def
| sk_c9 != sP16_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1825,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| sP3_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1023]) ).
cnf(c_1826,plain,
( X0 != sP4_iProver_def
| sk_c9 != sP4_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1827,plain,
( X0 != sP4_iProver_def
| sk_c9 != sP4_iProver_def
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_1861,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_487]) ).
cnf(c_1923,plain,
( inverse(sk_c2) != sk_c10
| X0 != sk_c10
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_1929,plain,
( inverse(sk_c10) != sP4_iProver_def
| X0 != sP4_iProver_def
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_1934,plain,
( inverse(sk_c2) != sP13_iProver_def
| X0 != sP13_iProver_def
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_1955,plain,
( multiply(sP12_iProver_def,sk_c10) = sP3_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_534,c_478]) ).
cnf(c_1987,plain,
( multiply(sk_c3,sP4_iProver_def) = sP12_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_535,c_487]) ).
cnf(c_1990,plain,
( sk_c10 = sP13_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_535,c_505]) ).
cnf(c_2049,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_2082,plain,
( sk_c9 = sP4_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_533]) ).
cnf(c_2161,plain,
( X0 != X1
| sP3_iProver_def != X1
| X0 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_2197,plain,
multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sP14_iProver_def,X0),
inference(superposition,[status(thm)],[c_489,c_92]) ).
cnf(c_2202,plain,
multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sP16_iProver_def,X0),
inference(superposition,[status(thm)],[c_491,c_92]) ).
cnf(c_2203,plain,
multiply(sk_c8,multiply(sk_c10,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_478,c_92]) ).
cnf(c_2205,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_91,c_92]) ).
cnf(c_2207,plain,
multiply(sP4_iProver_def,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1016,c_92]) ).
cnf(c_2208,plain,
multiply(sP13_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1017,c_92]) ).
cnf(c_2209,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1018,c_92]) ).
cnf(c_2210,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1019,c_92]) ).
cnf(c_2216,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2210,c_90]) ).
cnf(c_2217,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2209,c_90]) ).
cnf(c_2218,plain,
multiply(sP13_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2208,c_90]) ).
cnf(c_2219,plain,
multiply(sP4_iProver_def,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2207,c_90]) ).
cnf(c_2262,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1022,c_92]) ).
cnf(c_2263,plain,
multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2262,c_90]) ).
cnf(c_2341,plain,
( X0 != sk_c9
| sP3_iProver_def != sk_c9
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1581]) ).
cnf(c_2343,plain,
( X0 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1581]) ).
cnf(c_2344,plain,
( sk_c10 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2459,plain,
( multiply(identity,sk_c9) != sk_c9
| multiply(identity,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1715]) ).
cnf(c_2557,plain,
( multiply(identity,sk_c9) != multiply(identity,sk_c9)
| X0 != multiply(identity,sk_c9)
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1710]) ).
cnf(c_2563,plain,
( multiply(identity,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1710]) ).
cnf(c_2564,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c10 != sk_c9
| multiply(identity,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_2563]) ).
cnf(c_2638,plain,
( sk_c9 != sP4_iProver_def
| sk_c10 = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_505,c_492]) ).
cnf(c_2640,plain,
( sk_c9 != sP4_iProver_def
| sk_c10 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_502,c_492]) ).
cnf(c_2641,plain,
( sk_c9 != sP4_iProver_def
| sk_c10 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_492]) ).
cnf(c_2745,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_2790,plain,
( X0 != sk_c9
| sP14_iProver_def != sk_c9
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_1471]) ).
cnf(c_2798,plain,
( inverse(sk_c3) != sk_c9
| sk_c8 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_495]) ).
cnf(c_2800,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_90,c_495]) ).
cnf(c_2802,plain,
( multiply(X0,multiply(X1,sk_c9)) != sk_c8
| inverse(multiply(X0,X1)) != sk_c9
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_495]) ).
cnf(c_2803,plain,
( multiply(X0,sP3_iProver_def) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_866,c_495]) ).
cnf(c_2829,plain,
( sk_c9 != sP11_iProver_def
| sk_c8 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2798,c_486]) ).
cnf(c_2972,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_2985,plain,
( sk_c9 != sP16_iProver_def
| sP16_iProver_def != sP16_iProver_def
| sP16_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_2986,plain,
sP16_iProver_def = sP16_iProver_def,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_2999,plain,
( sk_c9 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1826]) ).
cnf(c_3000,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_3002,plain,
( inverse(sk_c10) != sP4_iProver_def
| sk_c9 != sP4_iProver_def
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1826]) ).
cnf(c_3010,plain,
( inverse(sk_c2) != sk_c10
| sk_c9 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_489,c_496]) ).
cnf(c_3011,plain,
( inverse(sk_c1) != sk_c10
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_491,c_496]) ).
cnf(c_3030,plain,
( sk_c10 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3011,c_490]) ).
cnf(c_3034,plain,
( sk_c10 != sP13_iProver_def
| sk_c9 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3010,c_488]) ).
cnf(c_3107,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(identity,inverse(X0)) != inverse(identity)
| inverse(inverse(X0)) != inverse(X0)
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_90,c_493]) ).
cnf(c_3244,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1112,c_491]) ).
cnf(c_3353,plain,
( inverse(sP8_iProver_def) = sP4_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1228,c_479]) ).
cnf(c_3444,plain,
( inverse(sk_c2) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_1155]) ).
cnf(c_3445,plain,
( inverse(sk_c2) != sk_c10
| identity != sk_c10
| inverse(sk_c2) = identity ),
inference(instantiation,[status(thm)],[c_1923]) ).
cnf(c_3449,plain,
( inverse(sk_c2) != sP3_iProver_def
| sk_c9 != sP3_iProver_def
| inverse(sk_c2) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1553]) ).
cnf(c_3528,plain,
( sP3_iProver_def = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1316,c_1228]) ).
cnf(c_3582,plain,
( multiply(sk_c2,sP13_iProver_def) = sP14_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1446,c_489]) ).
cnf(c_3943,plain,
( sP4_iProver_def = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1774,c_1657]) ).
cnf(c_4156,plain,
( sP3_iProver_def = sP4_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1990,c_1783]) ).
cnf(c_4169,plain,
( multiply(sk_c2,sP13_iProver_def) = sP14_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1990,c_489]) ).
cnf(c_4172,plain,
( inverse(sP13_iProver_def) = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1990,c_479]) ).
cnf(c_4265,plain,
( sP3_iProver_def = sP4_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2082,c_866]) ).
cnf(c_4505,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_487,c_2217]) ).
cnf(c_4519,plain,
multiply(sP13_iProver_def,sP14_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_489,c_2218]) ).
cnf(c_4640,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sk_c9 = sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1990,c_839]) ).
cnf(c_4646,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sk_c9 = sP3_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1446,c_839]) ).
cnf(c_4839,plain,
( multiply(sP4_iProver_def,multiply(sP15_iProver_def,X0)) = X0
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_512,c_2219]) ).
cnf(c_4906,plain,
multiply(sP15_iProver_def,sP16_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_491,c_2263]) ).
cnf(c_4924,plain,
multiply(sP15_iProver_def,multiply(sP16_iProver_def,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_4906,c_92]) ).
cnf(c_4944,plain,
( multiply(sP15_iProver_def,sP3_iProver_def) = sk_c10
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3528,c_4906]) ).
cnf(c_5051,plain,
( inverse(sk_c2) != sP13_iProver_def
| sk_c10 != sP13_iProver_def
| sk_c10 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_2049]) ).
cnf(c_5052,plain,
( inverse(sk_c1) != sP15_iProver_def
| sk_c10 != sP15_iProver_def
| sk_c10 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_2049]) ).
cnf(c_5187,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_5409,plain,
( inverse(multiply(X0,sP4_iProver_def)) != sP4_iProver_def
| multiply(X0,inverse(sP8_iProver_def)) != inverse(X0)
| multiply(inverse(sP8_iProver_def),sk_c9) != sk_c10
| multiply(sP8_iProver_def,inverse(sP8_iProver_def)) != sk_c10
| ~ sP2_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_3353,c_493]) ).
cnf(c_5988,plain,
( inverse(sk_c2) != sP13_iProver_def
| sP3_iProver_def != sP13_iProver_def
| inverse(sk_c2) = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_1934]) ).
cnf(c_6008,plain,
( multiply(sk_c3,multiply(sP14_iProver_def,X0)) = multiply(sP12_iProver_def,X0)
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_989,c_92]) ).
cnf(c_6009,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP14_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_989,c_2217]) ).
cnf(c_6010,plain,
( sk_c9 = sP3_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6009,c_4505]) ).
cnf(c_6031,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_991,c_2217]) ).
cnf(c_6032,plain,
( sk_c9 = sP3_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6031,c_4505]) ).
cnf(c_6213,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1005,c_2218]) ).
cnf(c_6214,plain,
( sk_c10 = sP8_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6213,c_4519]) ).
cnf(c_6256,plain,
( multiply(sk_c3,multiply(sP11_iProver_def,X0)) = multiply(sP12_iProver_def,X0)
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1041,c_92]) ).
cnf(c_6257,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1041,c_2217]) ).
cnf(c_6258,plain,
( sk_c10 = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6257,c_4505]) ).
cnf(c_6406,plain,
( multiply(identity,sk_c9) != sk_c9
| sP11_iProver_def != sk_c9
| multiply(identity,sk_c9) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_2563]) ).
cnf(c_6475,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) = sP15_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1086,c_2263]) ).
cnf(c_6476,plain,
( sk_c10 = sP13_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6475,c_4906]) ).
cnf(c_6608,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP14_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1113,c_2217]) ).
cnf(c_6609,plain,
( sk_c10 = sP15_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6608,c_4505]) ).
cnf(c_6899,plain,
( multiply(identity,sk_c9) != multiply(identity,sk_c9)
| inverse(sk_c2) != multiply(identity,sk_c9)
| multiply(identity,sk_c9) = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_2557]) ).
cnf(c_6982,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2745]) ).
cnf(c_6983,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_6982]) ).
cnf(c_7269,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1384,c_2217]) ).
cnf(c_7270,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7269,c_4505]) ).
cnf(c_7454,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sk_c9 = sP16_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1446,c_1427]) ).
cnf(c_7535,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP16_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1443,c_2217]) ).
cnf(c_7536,plain,
( sk_c10 = sP13_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7535,c_4505]) ).
cnf(c_7567,plain,
( multiply(identity,sk_c9) != sP11_iProver_def
| X0 != sP11_iProver_def
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1710]) ).
cnf(c_7857,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP16_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1513,c_2217]) ).
cnf(c_7858,plain,
( sk_c9 = sP14_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7857,c_4505]) ).
cnf(c_8015,plain,
( sP11_iProver_def != sk_c9
| sP14_iProver_def != sk_c9
| sP11_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_2790]) ).
cnf(c_8182,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP4_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1660,c_2217]) ).
cnf(c_8183,plain,
( sk_c10 = sP8_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8182,c_4505]) ).
cnf(c_8536,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP4_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1778,c_2217]) ).
cnf(c_8537,plain,
( sk_c10 = sP10_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8536,c_4505]) ).
cnf(c_8606,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sk_c9 = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1990,c_1955]) ).
cnf(c_8739,plain,
( multiply(sk_c3,multiply(sP4_iProver_def,X0)) = multiply(sP12_iProver_def,X0)
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1987,c_92]) ).
cnf(c_8740,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP4_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1987,c_2217]) ).
cnf(c_8741,plain,
( sk_c10 = sP13_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8740,c_4505]) ).
cnf(c_9625,plain,
( sP3_iProver_def != sk_c9
| sP4_iProver_def != sk_c9
| sP3_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_2341]) ).
cnf(c_9626,plain,
( sP3_iProver_def != sk_c9
| sP16_iProver_def != sk_c9
| sP3_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_2341]) ).
cnf(c_10530,plain,
( sk_c9 = sP11_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1387,c_1552,c_1580,c_2985,c_2986,c_6032,c_7270,c_9626]) ).
cnf(c_10616,plain,
( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_10530,c_487]) ).
cnf(c_10825,plain,
( sk_c9 = sP14_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1516,c_1552,c_1580,c_2985,c_2986,c_6010,c_7858,c_9626]) ).
cnf(c_10868,plain,
( sP3_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_10825,c_10530]) ).
cnf(c_11601,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2205,c_90]) ).
cnf(c_11639,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_90,c_11601]) ).
cnf(c_11640,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_91,c_11601]) ).
cnf(c_11641,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_92,c_11601]) ).
cnf(c_11718,plain,
multiply(inverse(sP15_iProver_def),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1022,c_11601]) ).
cnf(c_11767,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2219,c_11601]) ).
cnf(c_11768,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2218,c_11601]) ).
cnf(c_11769,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2217,c_11601]) ).
cnf(c_11770,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2216,c_11601]) ).
cnf(c_11773,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2263,c_11601]) ).
cnf(c_11831,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11601,c_11601]) ).
cnf(c_12195,plain,
( sk_c9 != sP14_iProver_def
| sP3_iProver_def != sP14_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_1135]) ).
cnf(c_12660,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11640,c_11831]) ).
cnf(c_12684,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12660,c_11639]) ).
cnf(c_12699,plain,
( inverse(multiply(X0,identity)) != identity
| multiply(X0,inverse(identity)) != inverse(X0)
| multiply(inverse(identity),sk_c9) != sk_c10
| multiply(identity,inverse(identity)) != sk_c10
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_12684,c_493]) ).
cnf(c_12701,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(X0) != X0
| inverse(X0) != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12699,c_12660,c_12684]) ).
cnf(c_12707,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(sk_c10) != sk_c10
| inverse(sk_c10) != identity
| ~ sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_12701]) ).
cnf(c_13034,plain,
( sk_c8 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_2829]) ).
cnf(c_13043,plain,
( sk_c8 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_513,c_2829]) ).
cnf(c_13197,plain,
( ~ sP1_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_534,c_13034]) ).
cnf(c_13215,plain,
( multiply(identity,sk_c9) != sk_c9
| inverse(sk_c2) != sk_c9
| multiply(identity,sk_c9) = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_2563]) ).
cnf(c_13286,plain,
( ~ sP1_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_514,c_13043]) ).
cnf(c_13302,plain,
multiply(sk_c10,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11767,c_91]) ).
cnf(c_13303,plain,
( inverse(multiply(sk_c10,inverse(X0))) != inverse(X0)
| multiply(inverse(sP4_iProver_def),inverse(X0)) != inverse(inverse(sP4_iProver_def))
| multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11767,c_493]) ).
cnf(c_13304,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c9
| multiply(sk_c10,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11767,c_495]) ).
cnf(c_13305,plain,
multiply(sk_c10,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11767,c_11601]) ).
cnf(c_13306,plain,
multiply(sk_c10,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_11767,c_12660]) ).
cnf(c_13337,plain,
( multiply(sP15_iProver_def,sP4_iProver_def) = identity
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_515,c_13302]) ).
cnf(c_13339,plain,
( multiply(sP15_iProver_def,sP4_iProver_def) = identity
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_510,c_13302]) ).
cnf(c_13342,plain,
multiply(sk_c8,identity) = multiply(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_13302,c_2203]) ).
cnf(c_13343,plain,
multiply(sk_c1,identity) = multiply(sP16_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_13302,c_2202]) ).
cnf(c_13344,plain,
multiply(sk_c2,identity) = multiply(sP14_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_13302,c_2197]) ).
cnf(c_13511,plain,
inverse(sP4_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_13306,c_12660]) ).
cnf(c_13527,plain,
( multiply(inverse(sP15_iProver_def),identity) = sP4_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_13337,c_11601]) ).
cnf(c_13529,plain,
( sk_c10 = sP13_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13527,c_11718]) ).
cnf(c_13553,plain,
( multiply(inverse(sP15_iProver_def),identity) = sP4_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13339,c_11601]) ).
cnf(c_13555,plain,
( sk_c10 = sP8_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13553,c_11718]) ).
cnf(c_13588,plain,
( sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3030,c_3034,c_3030,c_6476,c_6609]) ).
cnf(c_13590,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_13588,c_3034,c_7536,c_7858,c_13588]) ).
cnf(c_13592,plain,
( sk_c9 != sP3_iProver_def
| sk_c9 != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_492,c_13590]) ).
cnf(c_13706,plain,
multiply(sP3_iProver_def,sP4_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_13342,c_12660]) ).
cnf(c_13707,plain,
multiply(inverse(sP3_iProver_def),sk_c8) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_13706,c_11601]) ).
cnf(c_13772,plain,
( multiply(inverse(sP3_iProver_def),sP12_iProver_def) = sP4_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_524,c_13707]) ).
cnf(c_13775,plain,
multiply(inverse(inverse(sP3_iProver_def)),sP4_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_13707,c_11601]) ).
cnf(c_13801,plain,
multiply(sP16_iProver_def,sP4_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_13343,c_12660]) ).
cnf(c_13802,plain,
( multiply(sP3_iProver_def,sP4_iProver_def) = sk_c1
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_10868,c_13801]) ).
cnf(c_13810,plain,
( multiply(sP3_iProver_def,sP4_iProver_def) = sk_c1
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3528,c_13801]) ).
cnf(c_13813,plain,
multiply(inverse(sP16_iProver_def),sk_c1) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_13801,c_11601]) ).
cnf(c_13823,plain,
( sk_c8 = sk_c1
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13810,c_13706]) ).
cnf(c_13842,plain,
( sk_c8 = sk_c1
| sP11_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13802,c_13706]) ).
cnf(c_13933,plain,
( X0 != sk_c9
| sP4_iProver_def != sk_c9
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2972]) ).
cnf(c_13969,plain,
( multiply(inverse(inverse(sP3_iProver_def)),sP4_iProver_def) = sP12_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_13772,c_11601]) ).
cnf(c_13971,plain,
( sk_c9 = sP16_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13969,c_13775]) ).
cnf(c_14289,plain,
multiply(inverse(sP16_iProver_def),multiply(sk_c1,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_13813,c_92]) ).
cnf(c_14353,plain,
multiply(sP14_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_13344,c_12660]) ).
cnf(c_14355,plain,
multiply(inverse(sP14_iProver_def),sk_c2) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_14353,c_11601]) ).
cnf(c_14363,plain,
multiply(inverse(sP14_iProver_def),multiply(sk_c2,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_14355,c_92]) ).
cnf(c_14400,plain,
( multiply(sP4_iProver_def,sk_c10) = sP16_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_13529,c_491]) ).
cnf(c_14403,plain,
( sk_c10 = sP13_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14400,c_1016]) ).
cnf(c_14777,plain,
( multiply(sP4_iProver_def,sk_c10) = sP16_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_4906,c_4839]) ).
cnf(c_14786,plain,
( sk_c10 = sP10_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14777,c_1016]) ).
cnf(c_14855,plain,
( multiply(sk_c2,sP13_iProver_def) = sP14_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_14403,c_489]) ).
cnf(c_15076,plain,
( multiply(sP4_iProver_def,sk_c10) = sP16_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13555,c_491]) ).
cnf(c_15079,plain,
( sk_c10 = sP8_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15076,c_1016]) ).
cnf(c_15228,plain,
( identity = sP16_iProver_def
| sP8_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_15079,c_14403]) ).
cnf(c_15947,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP14_iProver_def
| sk_c10 = sP15_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_516,c_13592]) ).
cnf(c_15948,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP11_iProver_def
| sk_c10 = sP15_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_513,c_13592]) ).
cnf(c_15949,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP14_iProver_def
| sk_c9 = sP3_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_506,c_13592]) ).
cnf(c_16436,plain,
( sk_c9 = sP16_iProver_def
| sk_c1 = sP12_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_13842,c_524]) ).
cnf(c_16712,plain,
( inverse(sk_c1) != sP15_iProver_def
| X0 != sP15_iProver_def
| X0 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_5187]) ).
cnf(c_16938,plain,
( identity = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_14786,c_15079]) ).
cnf(c_17709,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4640,c_1552,c_1580,c_2999,c_3000,c_4640,c_8606,c_9625]) ).
cnf(c_17837,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| sP8_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_15228,c_12684]) ).
cnf(c_17985,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16938,c_12684]) ).
cnf(c_17986,plain,
( multiply(X0,sP16_iProver_def) = X0
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16938,c_12660]) ).
cnf(c_17987,plain,
( multiply(sP16_iProver_def,X0) = X0
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16938,c_90]) ).
cnf(c_17995,plain,
( multiply(sk_c10,sP16_iProver_def) = sk_c10
| sP8_iProver_def = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_17986]) ).
cnf(c_18022,plain,
multiply(sk_c2,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11768,c_91]) ).
cnf(c_18026,plain,
multiply(sk_c2,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_11768,c_12660]) ).
cnf(c_18047,plain,
( identity = sP14_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_14855,c_18022]) ).
cnf(c_18048,plain,
( identity = sP14_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_4169,c_18022]) ).
cnf(c_18050,plain,
( identity = sP14_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_3582,c_18022]) ).
cnf(c_18240,plain,
( sk_c9 = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_16436,c_1495,c_1496,c_1547,c_1548,c_7270,c_7858,c_8015]) ).
cnf(c_18404,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2800,c_12684]) ).
cnf(c_18422,plain,
( sk_c9 != identity
| sk_c9 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_524,c_18404]) ).
cnf(c_18502,plain,
multiply(inverse(sP14_iProver_def),identity) = multiply(sP4_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_18022,c_14363]) ).
cnf(c_18516,plain,
( multiply(sP16_iProver_def,X0) = X0
| identity = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_18047,c_90]) ).
cnf(c_18620,plain,
( inverse(sP14_iProver_def) = sP14_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_18048,c_12684]) ).
cnf(c_18679,plain,
inverse(sP13_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_18026,c_12660]) ).
cnf(c_18682,plain,
( sk_c2 = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_4172,c_18679]) ).
cnf(c_18741,plain,
( multiply(sP14_iProver_def,X0) = X0
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_18050,c_90]) ).
cnf(c_19110,plain,
( sk_c1 = sP4_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_17987,c_13801]) ).
cnf(c_19846,plain,
( sk_c1 = sP4_iProver_def
| identity = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_18516,c_13801]) ).
cnf(c_20144,plain,
( inverse(sP4_iProver_def) = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_19110,c_490]) ).
cnf(c_20145,plain,
( sk_c10 = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20144,c_13511]) ).
cnf(c_20441,plain,
( inverse(sP4_iProver_def) = sP15_iProver_def
| identity = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_19846,c_490]) ).
cnf(c_20442,plain,
( sk_c10 = sP15_iProver_def
| identity = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20441,c_13511]) ).
cnf(c_20605,plain,
( inverse(sP14_iProver_def) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_18741,c_495]) ).
cnf(c_21167,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11769,c_91]) ).
cnf(c_21170,plain,
multiply(sk_c3,multiply(sP11_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11769,c_11601]) ).
cnf(c_21171,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_11769,c_12660]) ).
cnf(c_21181,plain,
( identity = sP12_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_10616,c_21167]) ).
cnf(c_21182,plain,
( sk_c9 = sP4_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1861,c_21167]) ).
cnf(c_21183,plain,
( sk_c10 = sP15_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1041,c_21167]) ).
cnf(c_21184,plain,
( sk_c9 = sP3_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_991,c_21167]) ).
cnf(c_21268,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_21181,c_90]) ).
cnf(c_21579,plain,
( multiply(sk_c1,sP15_iProver_def) = sP16_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21183,c_491]) ).
cnf(c_21662,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_21171,c_12660]) ).
cnf(c_21723,plain,
( identity = sP12_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_21184,c_21182]) ).
cnf(c_21759,plain,
( multiply(X0,sP3_iProver_def) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_21184,c_495]) ).
cnf(c_22201,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP3_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4646,c_1552,c_1580,c_2985,c_2986,c_4646,c_7454,c_9626]) ).
cnf(c_22348,plain,
( sP3_iProver_def = sP4_iProver_def
| sP12_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_21723,c_18048]) ).
cnf(c_22355,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_21723,c_90]) ).
cnf(c_22526,plain,
( X0 != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| X0 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_2161]) ).
cnf(c_22530,plain,
( inverse(sk_c10) != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| inverse(sk_c10) = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_1929]) ).
cnf(c_22531,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP4_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_1827]) ).
cnf(c_22830,plain,
( sP3_iProver_def != sk_c9
| sP4_iProver_def != sk_c9
| sP4_iProver_def = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_13933]) ).
cnf(c_23518,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11770,c_91]) ).
cnf(c_23534,plain,
( sk_c9 = sP4_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1742,c_23518]) ).
cnf(c_23535,plain,
( sk_c9 = sP16_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1285,c_23518]) ).
cnf(c_23536,plain,
( sk_c9 = sP3_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_979,c_23518]) ).
cnf(c_23537,plain,
( sk_c10 = sP15_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_977,c_23518]) ).
cnf(c_24183,plain,
( identity = sP10_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_23536,c_23535]) ).
cnf(c_24184,plain,
( identity = sP10_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_23536,c_23534]) ).
cnf(c_24498,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_24183,c_90]) ).
cnf(c_24544,plain,
( sP3_iProver_def = sP4_iProver_def
| sP10_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_24184,c_18048]) ).
cnf(c_27682,plain,
( sP3_iProver_def = sP13_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_21268,c_22201]) ).
cnf(c_32293,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22355,c_17709]) ).
cnf(c_32436,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_32293,c_4156]) ).
cnf(c_32743,plain,
( multiply(identity,sk_c9) != inverse(sk_c2)
| X0 != inverse(sk_c2)
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1710]) ).
cnf(c_32746,plain,
( multiply(identity,sk_c9) != inverse(sk_c2)
| sk_c10 != inverse(sk_c2)
| multiply(identity,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_32743]) ).
cnf(c_38854,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(sP10_iProver_def,inverse(X0)) != inverse(sP10_iProver_def)
| inverse(inverse(X0)) != inverse(X0)
| ~ sP2_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_24498,c_493]) ).
cnf(c_39223,plain,
multiply(sk_c1,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11773,c_91]) ).
cnf(c_39227,plain,
multiply(sk_c1,identity) = inverse(sP15_iProver_def),
inference(superposition,[status(thm)],[c_11773,c_12660]) ).
cnf(c_39255,plain,
( identity = sP12_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_21579,c_39223]) ).
cnf(c_39260,plain,
( identity = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_3244,c_39223]) ).
cnf(c_39331,plain,
multiply(inverse(sP16_iProver_def),identity) = multiply(sP4_iProver_def,sP15_iProver_def),
inference(superposition,[status(thm)],[c_39223,c_14289]) ).
cnf(c_39485,plain,
inverse(sP15_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_39227,c_12660]) ).
cnf(c_39674,plain,
( multiply(sP16_iProver_def,X0) = X0
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39255,c_90]) ).
cnf(c_39705,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_39260,c_12684]) ).
cnf(c_40413,plain,
( multiply(sk_c10,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13304,c_545,c_479,c_3002,c_13197]) ).
cnf(c_40444,plain,
( multiply(sP15_iProver_def,sk_c9) != sk_c8
| ~ sP1_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_512,c_40413]) ).
cnf(c_41227,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) != sk_c8
| ~ sP1_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_40444]) ).
cnf(c_41239,plain,
( sk_c10 != sk_c8
| ~ sP1_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_41227,c_4906]) ).
cnf(c_41643,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(sP16_iProver_def,inverse(X0)) != inverse(sP16_iProver_def)
| inverse(inverse(X0)) != inverse(X0)
| ~ sP2_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39674,c_493]) ).
cnf(c_43255,plain,
( inverse(multiply(X0,sP16_iProver_def)) != sP16_iProver_def
| multiply(X0,inverse(sP16_iProver_def)) != inverse(X0)
| multiply(inverse(sP16_iProver_def),sk_c9) != sk_c10
| multiply(sP16_iProver_def,inverse(sP16_iProver_def)) != sk_c10
| ~ sP2_iProver_def
| sP8_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_17837,c_493]) ).
cnf(c_43636,plain,
( X0 != inverse(sk_c2)
| sk_c9 != inverse(sk_c2)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_43637,plain,
( sk_c10 != inverse(sk_c2)
| sk_c9 != inverse(sk_c2)
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_43636]) ).
cnf(c_44222,plain,
( sP3_iProver_def != sP3_iProver_def
| sP4_iProver_def != sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_44225,plain,
( X0 != sP3_iProver_def
| sP4_iProver_def != sP3_iProver_def
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2972]) ).
cnf(c_44227,plain,
( sk_c10 != sP3_iProver_def
| sP4_iProver_def != sP3_iProver_def
| sP4_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_44225]) ).
cnf(c_44932,plain,
( sk_c10 != sk_c1
| ~ sP1_iProver_def
| sk_c10 = sP10_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_13823,c_41239]) ).
cnf(c_45661,plain,
( inverse(sk_c1) != sP15_iProver_def
| identity != sP15_iProver_def
| identity = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_16712]) ).
cnf(c_45663,plain,
( X0 != inverse(sk_c1)
| identity != inverse(sk_c1)
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2745]) ).
cnf(c_45664,plain,
( X0 != inverse(sk_c1)
| identity != inverse(sk_c1)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1730]) ).
cnf(c_45665,plain,
( sk_c10 != inverse(sk_c1)
| identity != inverse(sk_c1)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_45664]) ).
cnf(c_45666,plain,
( sk_c10 != inverse(sk_c1)
| identity != inverse(sk_c1)
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_45663]) ).
cnf(c_46397,plain,
( inverse(sP4_iProver_def) = sP4_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3943,c_17985]) ).
cnf(c_46413,plain,
( sk_c10 = sP4_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46397,c_13511]) ).
cnf(c_47207,plain,
( sP4_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_46413,c_20145]) ).
cnf(c_47538,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_47207,c_39485]) ).
cnf(c_47580,plain,
( sk_c10 = sk_c1
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47538,c_13511]) ).
cnf(c_48758,plain,
( multiply(sk_c10,sk_c10) = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_47580,c_491]) ).
cnf(c_49602,plain,
( sP3_iProver_def != sP14_iProver_def
| sk_c9 != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_15947,c_6010,c_12195,c_13592]) ).
cnf(c_49603,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP14_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_49602]) ).
cnf(c_49612,plain,
( sk_c9 != sP4_iProver_def
| sP3_iProver_def != sP10_iProver_def
| sP3_iProver_def = sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_24544,c_49603]) ).
cnf(c_49630,plain,
( sk_c9 != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_15948,c_13592,c_22531,c_32436,c_49612]) ).
cnf(c_49642,plain,
( identity = sP12_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_21182,c_49630]) ).
cnf(c_49671,plain,
( sP4_iProver_def != sP14_iProver_def
| sk_c9 = sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_49630]) ).
cnf(c_49768,plain,
( sP4_iProver_def != sP14_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_49671,c_49630,c_49671]) ).
cnf(c_50660,plain,
( sP3_iProver_def != sP14_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_15949,c_6010,c_12195]) ).
cnf(c_50666,plain,
( sP3_iProver_def != sP10_iProver_def
| sk_c9 = sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_24544,c_50660]) ).
cnf(c_51007,plain,
( ~ sP1_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18422,c_2829,c_7270,c_13971]) ).
cnf(c_52059,plain,
multiply(sP4_iProver_def,sP13_iProver_def) = inverse(sP14_iProver_def),
inference(demodulation,[status(thm)],[c_18502,c_12660]) ).
cnf(c_52294,plain,
( inverse(sk_c10) != sP3_iProver_def
| sk_c10 != sP3_iProver_def
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1254]) ).
cnf(c_52296,plain,
( inverse(sk_c10) != sP3_iProver_def
| sk_c9 != sP3_iProver_def
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1553]) ).
cnf(c_53850,plain,
( inverse(sP11_iProver_def) = sP11_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_4265,c_18620]) ).
cnf(c_53860,plain,
( sk_c3 = sP11_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_53850,c_21662]) ).
cnf(c_53924,plain,
( multiply(sP11_iProver_def,sk_c9) = sP12_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_53860,c_487]) ).
cnf(c_54618,plain,
( multiply(sP11_iProver_def,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_53924]) ).
cnf(c_54883,plain,
( sk_c9 = sP3_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_54618,c_32436,c_50666]) ).
cnf(c_54977,plain,
( sk_c9 = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_54883,c_536]) ).
cnf(c_55158,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_54977,c_536,c_1552,c_1580,c_1631,c_22830,c_32436,c_44222,c_50666]) ).
cnf(c_55180,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_55158,c_22348]) ).
cnf(c_55186,plain,
( multiply(sP3_iProver_def,sP4_iProver_def) = sk_c2
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_55158,c_14353]) ).
cnf(c_55212,plain,
( sk_c2 = sk_c8
| sP3_iProver_def = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_55186,c_13706]) ).
cnf(c_55922,plain,
( sk_c8 = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_55212,c_18682]) ).
cnf(c_56162,plain,
( sk_c9 = sP4_iProver_def
| sP3_iProver_def = sP4_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_55922,c_534]) ).
cnf(c_56285,plain,
( sP3_iProver_def = sP4_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_56162,c_1552,c_1580,c_2999,c_3000,c_22830,c_32436,c_44222,c_50666,c_56162]) ).
cnf(c_56294,plain,
sP3_iProver_def = sP4_iProver_def,
inference(superposition,[status(thm)],[c_56285,c_55180]) ).
cnf(c_56322,plain,
multiply(sP3_iProver_def,sP13_iProver_def) = inverse(sP14_iProver_def),
inference(demodulation,[status(thm)],[c_52059,c_56294]) ).
cnf(c_56331,plain,
( sP3_iProver_def != sP14_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_49768,c_56294]) ).
cnf(c_56332,plain,
( sk_c9 != sP3_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_49630,c_56294]) ).
cnf(c_56333,plain,
( sP3_iProver_def = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_47207,c_56294]) ).
cnf(c_56334,plain,
( sk_c10 = sP3_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_46413,c_56294]) ).
cnf(c_56380,plain,
( sk_c1 = sP3_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_19846,c_56294]) ).
cnf(c_56402,plain,
multiply(inverse(sP14_iProver_def),sk_c2) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_14355,c_56294]) ).
cnf(c_56403,plain,
multiply(sP14_iProver_def,sP3_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_14353,c_56294]) ).
cnf(c_56413,plain,
multiply(sP16_iProver_def,sP3_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_13801,c_56294]) ).
cnf(c_56415,plain,
multiply(sP3_iProver_def,sP3_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_13706,c_56294]) ).
cnf(c_56416,plain,
multiply(sk_c10,multiply(sP3_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_13305,c_56294]) ).
cnf(c_56420,plain,
inverse(sP3_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_13511,c_56294]) ).
cnf(c_56421,plain,
multiply(sk_c10,sP3_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_13302,c_56294]) ).
cnf(c_56500,plain,
multiply(sP3_iProver_def,sk_c10) = identity,
inference(demodulation,[status(thm)],[c_1016,c_56294]) ).
cnf(c_56501,plain,
inverse(sk_c10) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_479,c_56294]) ).
cnf(c_57041,plain,
multiply(sP16_iProver_def,multiply(sP3_iProver_def,X0)) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_56413,c_92]) ).
cnf(c_57665,plain,
multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sP8_iProver_def)) = sk_c9,
inference(superposition,[status(thm)],[c_483,c_11641]) ).
cnf(c_59450,plain,
( sP3_iProver_def != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_22526]) ).
cnf(c_63538,plain,
multiply(inverse(multiply(inverse(sP8_iProver_def),sk_c7)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_91,c_57665]) ).
cnf(c_63874,plain,
( multiply(sP3_iProver_def,sP3_iProver_def) = sk_c10
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_56333,c_4944]) ).
cnf(c_63922,plain,
( sk_c10 = sk_c8
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_63874,c_56415]) ).
cnf(c_64090,plain,
( multiply(sP3_iProver_def,sP3_iProver_def) = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_56334,c_48758]) ).
cnf(c_64129,plain,
( sk_c8 = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64090,c_56415]) ).
cnf(c_64704,plain,
( ~ sP1_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20605,c_1825,c_2985,c_2986,c_9626,c_13197,c_51007,c_56294]) ).
cnf(c_64785,plain,
inverse(multiply(inverse(sP8_iProver_def),sk_c7)) = sk_c9,
inference(demodulation,[status(thm)],[c_63538,c_12660]) ).
cnf(c_64799,plain,
multiply(sk_c9,multiply(inverse(sP8_iProver_def),sk_c7)) = identity,
inference(superposition,[status(thm)],[c_64785,c_91]) ).
cnf(c_64874,plain,
multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(sP8_iProver_def),sk_c7),
inference(superposition,[status(thm)],[c_64799,c_11641]) ).
cnf(c_64940,plain,
multiply(inverse(multiply(X0,sk_c9)),X0) = multiply(inverse(sP8_iProver_def),sk_c7),
inference(light_normalisation,[status(thm)],[c_64874,c_12660]) ).
cnf(c_65565,plain,
( inverse(X0) != X1
| identity != X1
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_65569,plain,
( inverse(sk_c10) != sk_c10
| identity != sk_c10
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_65565]) ).
cnf(c_71821,plain,
( X0 != sk_c9
| identity != sk_c9
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1730]) ).
cnf(c_71822,plain,
( sk_c10 != sk_c9
| identity != sk_c9
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_71821]) ).
cnf(c_72722,plain,
( multiply(identity,sk_c9) != sP11_iProver_def
| identity != sP11_iProver_def
| multiply(identity,sk_c9) = identity ),
inference(instantiation,[status(thm)],[c_7567]) ).
cnf(c_72963,plain,
( sk_c10 = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_64129,c_63922]) ).
cnf(c_72998,plain,
( sk_c1 = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_64129,c_13823]) ).
cnf(c_73011,plain,
( sk_c9 = sP16_iProver_def
| sP8_iProver_def = sP10_iProver_def
| sP12_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_64129,c_524]) ).
cnf(c_73014,plain,
( sk_c9 = sP3_iProver_def
| sP8_iProver_def = sP10_iProver_def
| sP12_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_64129,c_504]) ).
cnf(c_73597,plain,
( multiply(X0,sP16_iProver_def) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def
| sP8_iProver_def = sP10_iProver_def
| sP12_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_73011,c_495]) ).
cnf(c_73747,plain,
( sP8_iProver_def = sP10_iProver_def
| sP12_iProver_def = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_73014,c_56332]) ).
cnf(c_76894,plain,
( multiply(sP16_iProver_def,sP3_iProver_def) = identity
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_72963,c_56421]) ).
cnf(c_76912,plain,
( sP8_iProver_def = sP10_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_72963,c_20145]) ).
cnf(c_76950,plain,
( sk_c1 = identity
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_76894,c_56413]) ).
cnf(c_77398,plain,
( multiply(sP15_iProver_def,sP16_iProver_def) = identity
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_72998,c_1022]) ).
cnf(c_77405,plain,
( sk_c10 = identity
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_77398,c_4906]) ).
cnf(c_78497,plain,
( X0 != sP16_iProver_def
| identity != sP16_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2745]) ).
cnf(c_78500,plain,
( sk_c10 != sP16_iProver_def
| identity != sP16_iProver_def
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_78497]) ).
cnf(c_80327,plain,
( sk_c9 != sP16_iProver_def
| identity != sP16_iProver_def
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_83067,plain,
( inverse(sP15_iProver_def) = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_76912,c_17985]) ).
cnf(c_83117,plain,
( sk_c1 = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83067,c_39485]) ).
cnf(c_83507,plain,
( inverse(identity) = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_76950,c_490]) ).
cnf(c_83508,plain,
( identity = sP15_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83507,c_12684]) ).
cnf(c_83740,plain,
( multiply(sk_c2,identity) = sP14_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_77405,c_489]) ).
cnf(c_83746,plain,
( sk_c2 = sP14_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83740,c_18026,c_18679]) ).
cnf(c_91496,plain,
( sk_c10 != X0
| identity != X0
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_91497,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_91550,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_91565,plain,
( multiply(X0,sk_c9) != X1
| X2 != X1
| X2 = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_91573,plain,
( multiply(X0,sk_c9) != X1
| sk_c10 != X1
| sk_c10 = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_91497]) ).
cnf(c_91880,plain,
( multiply(sk_c7,sk_c9) != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| sk_c10 = multiply(sk_c7,sk_c9) ),
inference(instantiation,[status(thm)],[c_91573]) ).
cnf(c_91927,plain,
( multiply(sk_c7,sk_c9) != sP8_iProver_def
| X0 != sP8_iProver_def
| X0 = multiply(sk_c7,sk_c9) ),
inference(instantiation,[status(thm)],[c_91565]) ).
cnf(c_92003,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_92423,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_91550]) ).
cnf(c_92437,plain,
( X0 != X1
| sP3_iProver_def != X1
| X0 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_95835,plain,
( multiply(X0,sk_c9) != X1
| inverse(X2) != X1
| inverse(X2) = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_91550]) ).
cnf(c_96922,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_97283,plain,
( sk_c9 != X0
| sP4_iProver_def != X0
| sk_c9 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_92003]) ).
cnf(c_97284,plain,
( sk_c9 != sk_c10
| sP4_iProver_def != sk_c10
| sk_c9 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_97283]) ).
cnf(c_98244,plain,
( identity != X0
| sP3_iProver_def != X0
| identity = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_92437]) ).
cnf(c_98246,plain,
( identity != sk_c10
| sP3_iProver_def != sk_c10
| identity = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_98244]) ).
cnf(c_98420,plain,
( multiply(sk_c7,sk_c9) != sP8_iProver_def
| identity != sP8_iProver_def
| identity = multiply(sk_c7,sk_c9) ),
inference(instantiation,[status(thm)],[c_91927]) ).
cnf(c_98421,plain,
( sk_c10 != multiply(sk_c7,sk_c9)
| identity != multiply(sk_c7,sk_c9)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_91496]) ).
cnf(c_98660,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_96922]) ).
cnf(c_103992,plain,
( inverse(sk_c10) != sk_c9
| identity != sk_c9
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_92423]) ).
cnf(c_106097,plain,
( multiply(identity,identity) != identity
| X0 != identity
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_98660]) ).
cnf(c_106098,plain,
( multiply(identity,identity) != identity
| sk_c10 != identity
| multiply(identity,identity) = sk_c10 ),
inference(instantiation,[status(thm)],[c_106097]) ).
cnf(c_108672,plain,
( multiply(X0,sk_c9) != identity
| inverse(X1) != identity
| inverse(X1) = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_95835]) ).
cnf(c_117608,plain,
multiply(inverse(sP16_iProver_def),identity) = multiply(sP3_iProver_def,sP15_iProver_def),
inference(light_normalisation,[status(thm)],[c_39331,c_56294]) ).
cnf(c_117609,plain,
multiply(sP3_iProver_def,sP15_iProver_def) = inverse(sP16_iProver_def),
inference(demodulation,[status(thm)],[c_117608,c_12660]) ).
cnf(c_117615,plain,
multiply(sP3_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(inverse(sP16_iProver_def),X0),
inference(superposition,[status(thm)],[c_117609,c_92]) ).
cnf(c_117622,plain,
multiply(sP16_iProver_def,inverse(sP16_iProver_def)) = multiply(sk_c1,sP15_iProver_def),
inference(superposition,[status(thm)],[c_117609,c_57041]) ).
cnf(c_117625,plain,
multiply(sP16_iProver_def,inverse(sP16_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_117622,c_39223]) ).
cnf(c_121267,plain,
( multiply(inverse(sP16_iProver_def),sk_c9) != sk_c10
| multiply(sP16_iProver_def,inverse(sP16_iProver_def)) != inverse(sP16_iProver_def)
| multiply(sP16_iProver_def,inverse(sP16_iProver_def)) != sk_c10
| inverse(identity) != inverse(sP16_iProver_def)
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_117625,c_493]) ).
cnf(c_121325,plain,
( multiply(inverse(sP16_iProver_def),sk_c9) != sk_c10
| inverse(sP16_iProver_def) != identity
| sk_c10 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_121267,c_12684,c_117625]) ).
cnf(c_121871,plain,
( inverse(sP3_iProver_def) = sP3_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_10868,c_39705]) ).
cnf(c_121902,plain,
( sk_c10 = sP3_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_121871,c_56420]) ).
cnf(c_122748,plain,
( inverse(multiply(inverse(multiply(X0,sk_c9)),X0)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_91,c_2802]) ).
cnf(c_122975,plain,
( sk_c9 != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_122748,c_64785,c_64940]) ).
cnf(c_122976,plain,
( sk_c8 != identity
| ~ sP1_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_122975]) ).
cnf(c_123334,plain,
( inverse(X0) != sk_c9
| multiply(X0,sP3_iProver_def) != sk_c8
| sP11_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2803,c_479,c_866,c_1067,c_1556,c_1723,c_2564,c_2803,c_12707,c_18240,c_22530,c_39260,c_52294,c_52296,c_56294,c_56332,c_71822,c_80327,c_103992,c_106098,c_121902]) ).
cnf(c_123335,plain,
( multiply(X0,sP3_iProver_def) != sk_c8
| inverse(X0) != sk_c9
| sP11_iProver_def = sP14_iProver_def ),
inference(renaming,[status(thm)],[c_123334]) ).
cnf(c_123387,plain,
( inverse(sP3_iProver_def) != sk_c9
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_56415,c_123335]) ).
cnf(c_123390,plain,
( sk_c10 != sk_c9
| sP11_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_123387,c_56420]) ).
cnf(c_123761,plain,
( identity != sP16_iProver_def
| ~ sP1_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_64129,c_122976]) ).
cnf(c_123846,plain,
sP11_iProver_def = sP14_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_121902,c_866,c_1556,c_121902,c_123390]) ).
cnf(c_123861,plain,
( sk_c2 = sP11_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_83746,c_123846]) ).
cnf(c_123884,plain,
( sk_c1 = sP3_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_56380,c_123846]) ).
cnf(c_123889,plain,
multiply(inverse(sP11_iProver_def),sk_c2) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_56402,c_123846]) ).
cnf(c_123891,plain,
multiply(sP3_iProver_def,sP13_iProver_def) = inverse(sP11_iProver_def),
inference(demodulation,[status(thm)],[c_56322,c_123846]) ).
cnf(c_123893,plain,
multiply(sP11_iProver_def,sP3_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_56403,c_123846]) ).
cnf(c_123918,plain,
( sk_c10 = sP15_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_20442,c_123846]) ).
cnf(c_123923,plain,
( identity = sP11_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_18050,c_123846]) ).
cnf(c_123961,plain,
multiply(sP3_iProver_def,sP13_iProver_def) = sk_c3,
inference(light_normalisation,[status(thm)],[c_123891,c_21662]) ).
cnf(c_123962,plain,
multiply(sk_c3,sk_c2) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_123889,c_21662]) ).
cnf(c_126934,plain,
( multiply(sP12_iProver_def,X0) = X0
| sk_c9 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6008,c_21170,c_123846]) ).
cnf(c_126960,plain,
( sk_c10 = sP3_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_126934,c_839]) ).
cnf(c_127196,plain,
( multiply(sP3_iProver_def,sP15_iProver_def) = identity
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_123884,c_39223]) ).
cnf(c_127228,plain,
( inverse(sP16_iProver_def) = identity
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_127196,c_117609]) ).
cnf(c_130773,plain,
( multiply(X0,sP11_iProver_def) = X0
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_123923,c_12660]) ).
cnf(c_130778,plain,
( multiply(sk_c10,sP11_iProver_def) = sk_c10
| sP3_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_130773]) ).
cnf(c_131343,plain,
( inverse(sP3_iProver_def) != sk_c9
| ~ sP1_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_56415,c_21759]) ).
cnf(c_131345,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_def
| identity = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_131343,c_56420]) ).
cnf(c_131907,plain,
( multiply(sP12_iProver_def,X0) = X0
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6256,c_21170]) ).
cnf(c_131932,plain,
( sk_c10 = sP3_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_131907,c_1078]) ).
cnf(c_134524,plain,
( sk_c10 = sP3_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_126960,c_56332]) ).
cnf(c_135912,plain,
( sP8_iProver_def = sP10_iProver_def
| sP12_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_73597,c_479,c_1067,c_1364,c_1556,c_1723,c_2564,c_12707,c_16938,c_46413,c_56334,c_65569,c_72963,c_73014,c_73747,c_77405,c_78500,c_106098,c_123761]) ).
cnf(c_136041,plain,
( sP3_iProver_def = sP12_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_135912,c_3528]) ).
cnf(c_142811,plain,
( multiply(sP11_iProver_def,sP3_iProver_def) = sk_c9
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_136041,c_4505]) ).
cnf(c_142812,plain,
( sk_c9 = sk_c2
| sP8_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_142811,c_123893]) ).
cnf(c_143233,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(identity,inverse(X0)) != identity
| inverse(inverse(X0)) != inverse(X0)
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3107,c_12684]) ).
cnf(c_143234,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| inverse(inverse(X0)) != inverse(X0)
| inverse(X0) != identity
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_143233,c_90]) ).
cnf(c_143259,plain,
( multiply(identity,inverse(identity)) != sk_c10
| inverse(inverse(identity)) != inverse(identity)
| multiply(identity,sk_c9) != sk_c10
| inverse(identity) != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_12684,c_143234]) ).
cnf(c_143320,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sP16_iProver_def) != sk_c10
| inverse(inverse(X0)) != inverse(X0)
| inverse(X0) != identity
| ~ sP2_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_143234]) ).
cnf(c_143321,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sP16_iProver_def) != sk_c10
| inverse(inverse(X0)) != inverse(X0)
| inverse(X0) != identity
| ~ sP2_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_520,c_143234]) ).
cnf(c_143323,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sP3_iProver_def) != sk_c10
| inverse(inverse(X0)) != inverse(X0)
| inverse(X0) != identity
| ~ sP2_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_505,c_143234]) ).
cnf(c_143324,plain,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sP11_iProver_def) != sk_c10
| inverse(inverse(X0)) != inverse(X0)
| inverse(X0) != identity
| ~ sP2_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_143234]) ).
cnf(c_143361,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(identity) != identity
| identity != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_143259,c_12684]) ).
cnf(c_143362,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| inverse(identity) != identity
| ~ sP2_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_143361]) ).
cnf(c_143363,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_143362,c_12684]) ).
cnf(c_145102,plain,
( multiply(inverse(sP3_iProver_def),sP16_iProver_def) != sk_c10
| inverse(inverse(sP3_iProver_def)) != inverse(sP3_iProver_def)
| multiply(sP3_iProver_def,sk_c10) != sk_c10
| inverse(sP3_iProver_def) != identity
| ~ sP2_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_56420,c_143320]) ).
cnf(c_145131,plain,
( multiply(sk_c10,sP16_iProver_def) != sk_c10
| sk_c10 != identity
| sk_c10 != sP3_iProver_def
| ~ sP2_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_145102,c_56420,c_56500,c_56501]) ).
cnf(c_145636,plain,
( multiply(inverse(sk_c1),sP16_iProver_def) != sk_c10
| inverse(inverse(sk_c1)) != inverse(sk_c1)
| multiply(sk_c1,sP15_iProver_def) != sk_c10
| inverse(sk_c1) != identity
| ~ sP2_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_490,c_143321]) ).
cnf(c_145751,plain,
( sk_c10 != sk_c10
| sk_c10 != identity
| sk_c1 != sP15_iProver_def
| identity != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_145636,c_490,c_4906,c_39223,c_39485]) ).
cnf(c_145752,plain,
( sk_c10 != identity
| sk_c1 != sP15_iProver_def
| identity != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_145751]) ).
cnf(c_146765,plain,
( multiply(inverse(sP3_iProver_def),sP3_iProver_def) != sk_c10
| inverse(inverse(sP3_iProver_def)) != inverse(sP3_iProver_def)
| multiply(sP3_iProver_def,sk_c10) != sk_c10
| inverse(sP3_iProver_def) != identity
| ~ sP2_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_56420,c_143323]) ).
cnf(c_146794,plain,
( sk_c10 != identity
| sk_c10 != sP3_iProver_def
| ~ sP2_iProver_def
| sk_c10 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_146765,c_56420,c_56421,c_56500,c_56501]) ).
cnf(c_147500,plain,
( multiply(inverse(sP3_iProver_def),sP11_iProver_def) != sk_c10
| inverse(inverse(sP3_iProver_def)) != inverse(sP3_iProver_def)
| multiply(sP3_iProver_def,sk_c10) != sk_c10
| inverse(sP3_iProver_def) != identity
| ~ sP2_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_56420,c_143324]) ).
cnf(c_147541,plain,
( multiply(sk_c10,sP11_iProver_def) != sk_c10
| sk_c10 != identity
| sk_c10 != sP3_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147500,c_56420,c_56500,c_56501]) ).
cnf(c_154150,plain,
( sk_c9 = sP11_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_142812,c_123861]) ).
cnf(c_154166,plain,
( inverse(sk_c9) = sP13_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_142812,c_488]) ).
cnf(c_156729,plain,
( inverse(sP16_iProver_def) = sP13_iProver_def
| sk_c10 = sP10_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_154166]) ).
cnf(c_156946,plain,
( sk_c10 = sP10_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_156729,c_2640,c_3034,c_7536,c_7858,c_8537,c_13588,c_17995,c_44932,c_47580,c_56334,c_77405,c_145131]) ).
cnf(c_157861,plain,
( sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP10_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_154150,c_520]) ).
cnf(c_158697,plain,
( sP8_iProver_def = sP10_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_157861,c_2641,c_3034,c_7536,c_7858,c_8183,c_13588,c_16938,c_77405,c_83117,c_83508,c_123761,c_145752]) ).
cnf(c_158698,plain,
( sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(renaming,[status(thm)],[c_158697]) ).
cnf(c_158737,plain,
sP8_iProver_def = sP10_iProver_def,
inference(superposition,[status(thm)],[c_158698,c_156946]) ).
cnf(c_158915,plain,
( identity = sP8_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_24183,c_158737]) ).
cnf(c_158916,plain,
( sk_c10 = sP15_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_23537,c_158737]) ).
cnf(c_159812,plain,
( ~ sP2_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5409,c_483,c_488,c_1067,c_1228,c_1446,c_1723,c_3449,c_5051,c_5988,c_13215,c_27682,c_32746,c_91880,c_98420,c_98421,c_106098,c_126960,c_130778,c_143363,c_147541,c_158915]) ).
cnf(c_159819,plain,
( sk_c10 = sP3_iProver_def
| sP3_iProver_def = sP16_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_134524,c_159812]) ).
cnf(c_160139,plain,
( inverse(multiply(sk_c10,inverse(X0))) != inverse(X0)
| multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(sk_c10,inverse(X0)) != sP3_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13303,c_56294,c_56420,c_56501]) ).
cnf(c_160182,plain,
( inverse(multiply(sk_c10,identity)) != identity
| multiply(inverse(identity),sk_c9) != sk_c10
| multiply(sk_c10,inverse(identity)) != sP3_iProver_def
| multiply(identity,inverse(identity)) != sk_c10
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_12684,c_160139]) ).
cnf(c_160232,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| sk_c10 != sP3_iProver_def
| identity != sP3_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_160182,c_12684,c_13306,c_56294,c_56420,c_56501]) ).
cnf(c_172277,plain,
( multiply(identity,sk_c9) != identity
| inverse(sk_c2) != identity
| inverse(sk_c2) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_108672]) ).
cnf(c_172687,plain,
sP3_iProver_def = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_38854,c_483,c_488,c_1061,c_1066,c_1067,c_1228,c_1369,c_1446,c_1495,c_1496,c_1728,c_3000,c_3444,c_3445,c_5051,c_6406,c_6983,c_10530,c_43637,c_44227,c_49630,c_56294,c_59450,c_64704,c_72722,c_91880,c_97284,c_98420,c_98421,c_123923,c_158915,c_159812,c_159819,c_172277]) ).
cnf(c_172752,plain,
multiply(sP3_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(inverse(sP3_iProver_def),X0),
inference(demodulation,[status(thm)],[c_117615,c_172687]) ).
cnf(c_172799,plain,
multiply(sP3_iProver_def,sP3_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_56413,c_172687]) ).
cnf(c_172841,plain,
multiply(sP15_iProver_def,multiply(sP3_iProver_def,X0)) = multiply(sk_c10,X0),
inference(demodulation,[status(thm)],[c_4924,c_172687]) ).
cnf(c_172868,plain,
multiply(sP15_iProver_def,sP3_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_4906,c_172687]) ).
cnf(c_172883,plain,
sk_c8 = sk_c1,
inference(light_normalisation,[status(thm)],[c_172799,c_56415]) ).
cnf(c_172947,plain,
multiply(sP3_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c10,X0),
inference(light_normalisation,[status(thm)],[c_172752,c_56420]) ).
cnf(c_173086,plain,
( multiply(X0,sk_c9) != sk_c1
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_495,c_172883]) ).
cnf(c_173087,plain,
( sk_c10 = sP15_iProver_def
| sk_c1 = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_514,c_172883]) ).
cnf(c_173222,plain,
sk_c10 = sP15_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_173087,c_483,c_488,c_1061,c_1066,c_1067,c_1369,c_1495,c_1496,c_1723,c_1728,c_2459,c_3000,c_3444,c_3445,c_5051,c_6214,c_6258,c_6406,c_6476,c_6899,c_6983,c_13286,c_32746,c_43637,c_44227,c_49630,c_56294,c_59450,c_72722,c_91880,c_97284,c_98420,c_98421,c_106098,c_123918,c_131932,c_143363,c_158916,c_172277]) ).
cnf(c_173275,plain,
multiply(sP15_iProver_def,multiply(sP3_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_56416,c_173222]) ).
cnf(c_173291,plain,
multiply(sP15_iProver_def,sP3_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_56421,c_173222]) ).
cnf(c_173294,plain,
inverse(sP15_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_56501,c_173222]) ).
cnf(c_173295,plain,
inverse(sP3_iProver_def) = sP15_iProver_def,
inference(demodulation,[status(thm)],[c_56420,c_173222]) ).
cnf(c_173335,plain,
sk_c1 = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_173294,c_39485]) ).
cnf(c_173342,plain,
identity = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_173291,c_172868,c_173222]) ).
cnf(c_173352,plain,
multiply(sP15_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_173275,c_172841,c_173222]) ).
cnf(c_173515,plain,
inverse(sP15_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39485,c_173335]) ).
cnf(c_173551,plain,
multiply(sP13_iProver_def,sk_c2) = sP15_iProver_def,
inference(demodulation,[status(thm)],[c_1017,c_173342]) ).
cnf(c_173744,plain,
( multiply(X0,sk_c9) != sP3_iProver_def
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_173086,c_173335]) ).
cnf(c_173751,plain,
( inverse(sk_c3) != sk_c9
| sP3_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_487,c_173744]) ).
cnf(c_173768,plain,
( sk_c9 != sP11_iProver_def
| sP3_iProver_def != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_173751,c_486]) ).
cnf(c_174166,plain,
multiply(sP3_iProver_def,multiply(sP15_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_173515,c_11601]) ).
cnf(c_174168,plain,
multiply(sP3_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_174166,c_172947,c_173352]) ).
cnf(c_174184,plain,
sk_c3 = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_123961,c_174168]) ).
cnf(c_174186,plain,
multiply(sP13_iProver_def,sk_c2) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_123962,c_174184]) ).
cnf(c_174194,plain,
inverse(sP13_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_486,c_174184]) ).
cnf(c_174195,plain,
sk_c2 = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_174194,c_18679]) ).
cnf(c_174196,plain,
multiply(sP11_iProver_def,sP3_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_123893,c_174195]) ).
cnf(c_174198,plain,
inverse(sP13_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_18679,c_174195]) ).
cnf(c_174207,plain,
sP3_iProver_def = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_174186,c_173551]) ).
cnf(c_174215,plain,
inverse(sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_173295,c_174207]) ).
cnf(c_174216,plain,
identity = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_173342,c_174207]) ).
cnf(c_174217,plain,
sk_c10 = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_173222,c_174207]) ).
cnf(c_174328,plain,
identity = sP12_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_41643,c_483,c_488,c_490,c_1061,c_1066,c_1067,c_1369,c_1495,c_1496,c_1556,c_1723,c_1728,c_2459,c_2564,c_3000,c_3444,c_3445,c_5051,c_5052,c_6214,c_6258,c_6406,c_6476,c_6899,c_6983,c_13286,c_21184,c_32746,c_43637,c_44227,c_45661,c_45665,c_49630,c_49642,c_56294,c_59450,c_72722,c_91880,c_97284,c_98420,c_98421,c_106098,c_123918,c_131345,c_131932,c_143363,c_158916,c_172277,c_173342,c_174217]) ).
cnf(c_174330,plain,
sP3_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_174328,c_174216]) ).
cnf(c_174331,plain,
( sk_c9 != sP11_iProver_def
| sP3_iProver_def != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_173768,c_174330]) ).
cnf(c_174335,plain,
multiply(sP11_iProver_def,sP3_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_4505,c_174330]) ).
cnf(c_174336,plain,
sk_c9 = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_174335,c_174196]) ).
cnf(c_174338,plain,
( sk_c9 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_174331]) ).
cnf(c_174339,plain,
~ sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_174338,c_174336]) ).
cnf(c_174470,plain,
( ~ sP2_iProver_def
| multiply(inverse(sP16_iProver_def),sk_c9) != sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_43255,c_483,c_488,c_490,c_1061,c_1066,c_1067,c_1369,c_1495,c_1496,c_1580,c_1723,c_1728,c_2344,c_2459,c_2638,c_3000,c_3034,c_3444,c_3445,c_5051,c_5052,c_6214,c_6258,c_6406,c_6476,c_6899,c_6983,c_7536,c_7858,c_8741,c_13286,c_13588,c_32746,c_43637,c_44227,c_45661,c_45665,c_45666,c_49630,c_56294,c_59450,c_72722,c_91880,c_97284,c_98246,c_98420,c_98421,c_106098,c_121325,c_123918,c_127228,c_131932,c_143363,c_146794,c_158916,c_160232,c_172277,c_173342,c_174217,c_174339,c_174336]) ).
cnf(c_174471,plain,
( multiply(inverse(sP16_iProver_def),sk_c9) != sk_c10
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_174470]) ).
cnf(c_174472,plain,
( multiply(sP3_iProver_def,sP11_iProver_def) != sP3_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_174471,c_172687,c_174215,c_174217,c_174336]) ).
cnf(c_174473,plain,
( sP3_iProver_def != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_174472,c_174168]) ).
cnf(c_174504,plain,
sk_c10 = sP13_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_8739,c_483,c_488,c_490,c_1061,c_1066,c_1067,c_1369,c_1495,c_1496,c_1723,c_1728,c_2459,c_2638,c_3000,c_3034,c_3444,c_3445,c_5051,c_5052,c_6214,c_6258,c_6406,c_6476,c_6899,c_6983,c_7536,c_7858,c_8741,c_13286,c_13588,c_32746,c_43637,c_44227,c_45661,c_45665,c_49630,c_56294,c_59450,c_72722,c_91880,c_97284,c_98420,c_98421,c_106098,c_123918,c_131932,c_143363,c_146794,c_158916,c_172277,c_173342,c_174217,c_174339]) ).
cnf(c_174506,plain,
sP3_iProver_def = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_174504,c_174217]) ).
cnf(c_174578,plain,
sP3_iProver_def = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_174198,c_174215,c_174506]) ).
cnf(c_174581,plain,
( sP3_iProver_def != sP3_iProver_def
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_174473,c_174578]) ).
cnf(c_174583,plain,
sP3_iProver_def = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_123846,c_174578]) ).
cnf(c_174584,plain,
~ sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_174581]) ).
cnf(c_174585,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_174583,c_174584,c_174339,c_56331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 23:42:49 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 49.61/7.71 % SZS status Started for theBenchmark.p
% 49.61/7.71 % SZS status Unsatisfiable for theBenchmark.p
% 49.61/7.71
% 49.61/7.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 49.61/7.71
% 49.61/7.71 ------ iProver source info
% 49.61/7.71
% 49.61/7.71 git: date: 2024-05-02 19:28:25 +0000
% 49.61/7.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 49.61/7.71 git: non_committed_changes: false
% 49.61/7.71
% 49.61/7.71 ------ Parsing...successful
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 49.61/7.71
% 49.61/7.71 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 49.61/7.71
% 49.61/7.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 49.61/7.71 ------ Proving...
% 49.61/7.71 ------ Problem Properties
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71 clauses 61
% 49.61/7.71 conjectures 44
% 49.61/7.71 EPR 41
% 49.61/7.71 Horn 20
% 49.61/7.71 unary 17
% 49.61/7.71 binary 40
% 49.61/7.71 lits 113
% 49.61/7.71 lits eq 107
% 49.61/7.71 fd_pure 0
% 49.61/7.71 fd_pseudo 0
% 49.61/7.71 fd_cond 0
% 49.61/7.71 fd_pseudo_cond 0
% 49.61/7.71 AC symbols 0
% 49.61/7.71
% 49.61/7.71 ------ Schedule dynamic 5 is on
% 49.61/7.71
% 49.61/7.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71 ------
% 49.61/7.71 Current options:
% 49.61/7.71 ------
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71 ------ Proving...
% 49.61/7.71
% 49.61/7.71
% 49.61/7.71 % SZS status Unsatisfiable for theBenchmark.p
% 49.61/7.71
% 49.61/7.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.61/7.71
% 49.61/7.72
%------------------------------------------------------------------------------