TSTP Solution File: GRP212-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:21:45 EDT 2024
% Result : Unsatisfiable 10.12s 2.17s
% Output : CNFRefutation 10.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_372,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).
cnf(c_373,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).
cnf(c_374,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_375,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_376,plain,
inverse(sk_c8) = sP3_iProver_def,
definition ).
cnf(c_377,plain,
multiply(sk_c3,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_378,plain,
inverse(sk_c5) = sP5_iProver_def,
definition ).
cnf(c_379,plain,
multiply(sk_c5,sk_c8) = sP6_iProver_def,
definition ).
cnf(c_380,plain,
multiply(sk_c8,sk_c6) = sP7_iProver_def,
definition ).
cnf(c_381,plain,
multiply(sk_c4,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_382,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_383,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_384,plain,
multiply(sk_c2,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_385,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c1,sk_c2) = sP13_iProver_def,
definition ).
cnf(c_387,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_375,c_376]) ).
cnf(c_388,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_374]) ).
cnf(c_390,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_373]) ).
cnf(c_391,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_372]) ).
cnf(c_392,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_78,c_378,c_377]) ).
cnf(c_393,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77,c_379]) ).
cnf(c_394,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_380]) ).
cnf(c_395,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_381]) ).
cnf(c_396,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_74,c_382]) ).
cnf(c_397,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP4_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_401,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_402,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_403,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_405,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_410,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_60,c_385]) ).
cnf(c_411,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_412,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_414,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_415,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_416,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_54,c_386]) ).
cnf(c_417,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_418,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_419,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_420,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_421,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_757,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_387]) ).
cnf(c_775,plain,
( multiply(sP10_iProver_def,sk_c6) = sP7_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_380]) ).
cnf(c_776,plain,
( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_379]) ).
cnf(c_804,plain,
( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_379]) ).
cnf(c_830,plain,
( sk_c8 = sP10_iProver_def
| sP3_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_400]) ).
cnf(c_900,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_380]) ).
cnf(c_983,plain,
multiply(sP3_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_376,c_81]) ).
cnf(c_984,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_382,c_81]) ).
cnf(c_985,plain,
multiply(sP5_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_378,c_81]) ).
cnf(c_986,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_385,c_81]) ).
cnf(c_987,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_383,c_81]) ).
cnf(c_1146,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_386]) ).
cnf(c_1156,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c2 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_380]) ).
cnf(c_1163,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_386]) ).
cnf(c_1183,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_386]) ).
cnf(c_1222,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_386]) ).
cnf(c_1565,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_381,c_391]) ).
cnf(c_1567,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_377,c_391]) ).
cnf(c_1581,plain,
( sk_c8 != sP4_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1567,c_383]) ).
cnf(c_1588,plain,
( sk_c8 != sP8_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1565,c_382]) ).
cnf(c_2484,plain,
multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_386,c_82]) ).
cnf(c_2491,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2493,plain,
multiply(sP3_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_983,c_82]) ).
cnf(c_2494,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_984,c_82]) ).
cnf(c_2495,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_985,c_82]) ).
cnf(c_2496,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_986,c_82]) ).
cnf(c_2497,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_987,c_82]) ).
cnf(c_2501,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2497,c_80]) ).
cnf(c_2502,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2496,c_80]) ).
cnf(c_2503,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2495,c_80]) ).
cnf(c_2504,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2494,c_80]) ).
cnf(c_2505,plain,
multiply(sP3_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2493,c_80]) ).
cnf(c_4447,plain,
multiply(sP10_iProver_def,sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_377,c_2501]) ).
cnf(c_4496,plain,
multiply(sP5_iProver_def,sP6_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_379,c_2503]) ).
cnf(c_4673,plain,
multiply(sP3_iProver_def,sP7_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_380,c_2505]) ).
cnf(c_5616,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_776,c_2503]) ).
cnf(c_5617,plain,
( sk_c8 = sP8_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5616,c_4496]) ).
cnf(c_6612,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_804,c_2503]) ).
cnf(c_6613,plain,
( sk_c8 = sP9_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6612,c_4496]) ).
cnf(c_10261,plain,
( sk_c8 = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_757,c_757,c_830,c_1588,c_5617,c_6613]) ).
cnf(c_10790,plain,
multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_384,c_2484]) ).
cnf(c_15597,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2491,c_80]) ).
cnf(c_15640,plain,
multiply(inverse(sk_c2),sP11_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_384,c_15597]) ).
cnf(c_15642,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_15597]) ).
cnf(c_15643,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_15597]) ).
cnf(c_15670,plain,
( multiply(inverse(sP10_iProver_def),sP7_iProver_def) = sk_c6
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_775,c_15597]) ).
cnf(c_15775,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2505,c_15597]) ).
cnf(c_15776,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2504,c_15597]) ).
cnf(c_15777,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2503,c_15597]) ).
cnf(c_15778,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2502,c_15597]) ).
cnf(c_15779,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2501,c_15597]) ).
cnf(c_15789,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15597,c_15597]) ).
cnf(c_16350,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15643,c_15789]) ).
cnf(c_16369,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16350,c_15642]) ).
cnf(c_16945,plain,
multiply(sk_c8,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15775,c_81]) ).
cnf(c_16949,plain,
multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_15775,c_15597]) ).
cnf(c_16950,plain,
multiply(sk_c8,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_15775,c_16350]) ).
cnf(c_17391,plain,
inverse(sP3_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_16950,c_16350]) ).
cnf(c_17928,plain,
( inverse(sP3_iProver_def) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_16949,c_388]) ).
cnf(c_18010,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_17928,c_17391]) ).
cnf(c_20879,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15776,c_81]) ).
cnf(c_20881,plain,
( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15776,c_388]) ).
cnf(c_20882,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15776,c_391]) ).
cnf(c_20884,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_15776,c_16350]) ).
cnf(c_20893,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c8
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20882,c_381]) ).
cnf(c_20917,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_20884,c_16350]) ).
cnf(c_20930,plain,
( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
| multiply(sk_c4,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_20917,c_390]) ).
cnf(c_20932,plain,
( sk_c8 != identity
| sk_c8 != sP8_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20930,c_381,c_984,c_20917]) ).
cnf(c_21355,plain,
multiply(sk_c5,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15777,c_81]) ).
cnf(c_22176,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15778,c_81]) ).
cnf(c_22181,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_15778,c_16350]) ).
cnf(c_22191,plain,
( sk_c7 = sP3_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1222,c_22176]) ).
cnf(c_22192,plain,
( sk_c8 = sP9_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1183,c_22176]) ).
cnf(c_22194,plain,
( sk_c7 = sP7_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1163,c_22176]) ).
cnf(c_22195,plain,
( sk_c8 = sP5_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1146,c_22176]) ).
cnf(c_22228,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_22181,c_16350]) ).
cnf(c_22480,plain,
( inverse(sP9_iProver_def) = sP3_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22192,c_376]) ).
cnf(c_22484,plain,
( sk_c4 = sP3_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22480,c_20917]) ).
cnf(c_23130,plain,
( identity = sP13_iProver_def
| sP3_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_22194,c_22191]) ).
cnf(c_23156,plain,
( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22194,c_381]) ).
cnf(c_23408,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22195,c_379]) ).
cnf(c_23420,plain,
( identity = sP6_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23408,c_21355]) ).
cnf(c_23829,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| identity = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_23420,c_16369]) ).
cnf(c_24003,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP3_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_23130,c_16369]) ).
cnf(c_24946,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15779,c_81]) ).
cnf(c_24951,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_15779,c_16350]) ).
cnf(c_25210,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_24951,c_16350]) ).
cnf(c_25223,plain,
( multiply(sP10_iProver_def,inverse(sP10_iProver_def)) != sk_c8
| multiply(sk_c3,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_25210,c_390]) ).
cnf(c_25233,plain,
( sk_c8 != identity
| sk_c8 != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25223,c_377,c_987,c_25210]) ).
cnf(c_29951,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22484,c_23156]) ).
cnf(c_29960,plain,
( sk_c6 = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29951,c_4673]) ).
cnf(c_33431,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_29960,c_25233,c_25210,c_24951,c_24946,c_24003,c_23829,c_22228,c_22176,c_21355,c_20932,c_20917,c_20893,c_20881,c_20879,c_18010,c_17391,c_16950,c_16945,c_15670,c_15640,c_10790,c_10261,c_4673,c_4496,c_4447,c_1581,c_1156,c_983,c_900,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_412,c_403,c_400,c_397,c_396,c_395,c_394,c_393,c_392,c_387,c_386,c_382,c_381,c_380,c_379,c_377,c_376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:49:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 10.12/2.17 % SZS status Started for theBenchmark.p
% 10.12/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.17
% 10.12/2.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.12/2.17
% 10.12/2.17 ------ iProver source info
% 10.12/2.17
% 10.12/2.17 git: date: 2024-05-02 19:28:25 +0000
% 10.12/2.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.12/2.17 git: non_committed_changes: false
% 10.12/2.17
% 10.12/2.17 ------ Parsing...successful
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.12/2.17
% 10.12/2.17 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.12/2.17
% 10.12/2.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.12/2.17 ------ Proving...
% 10.12/2.17 ------ Problem Properties
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17 clauses 48
% 10.12/2.17 conjectures 34
% 10.12/2.17 EPR 31
% 10.12/2.17 Horn 17
% 10.12/2.17 unary 14
% 10.12/2.17 binary 30
% 10.12/2.17 lits 87
% 10.12/2.17 lits eq 81
% 10.12/2.17 fd_pure 0
% 10.12/2.17 fd_pseudo 0
% 10.12/2.17 fd_cond 0
% 10.12/2.17 fd_pseudo_cond 0
% 10.12/2.17 AC symbols 0
% 10.12/2.17
% 10.12/2.17 ------ Schedule dynamic 5 is on
% 10.12/2.17
% 10.12/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17 ------
% 10.12/2.17 Current options:
% 10.12/2.17 ------
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17 ------ Proving...
% 10.12/2.17
% 10.12/2.17
% 10.12/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.17
% 10.12/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.12/2.17
% 10.12/2.17
%------------------------------------------------------------------------------