TSTP Solution File: GRP387-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:22:27 EDT 2024
% Result : Unsatisfiable 12.37s 2.68s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c6) != sk_c5
| multiply(X3,sk_c7) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c5
| inverse(sk_c7) != sk_c6 ),
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_379,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_79]) ).
cnf(c_380,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_79]) ).
cnf(c_381,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c5
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_79]) ).
cnf(c_382,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_79]) ).
cnf(c_383,negated_conjecture,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_384,plain,
multiply(sk_c7,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_385,plain,
multiply(sk_c6,sk_c5) = sP5_iProver_def,
definition ).
cnf(c_386,plain,
inverse(sk_c7) = sP6_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c4,sk_c7) = sP7_iProver_def,
definition ).
cnf(c_388,plain,
multiply(sk_c1,sk_c6) = sP8_iProver_def,
definition ).
cnf(c_389,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_390,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_391,plain,
multiply(sk_c3,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_392,plain,
inverse(sk_c2) = sP12_iProver_def,
definition ).
cnf(c_393,plain,
multiply(sk_c2,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_394,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_395,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c7
| sP6_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_383,c_386,c_385,c_384]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_382]) ).
cnf(c_397,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c5
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_381]) ).
cnf(c_398,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_380]) ).
cnf(c_399,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_388,c_387]) ).
cnf(c_401,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_77,c_389]) ).
cnf(c_402,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_76,c_390]) ).
cnf(c_403,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_75,c_391]) ).
cnf(c_404,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_74,c_392]) ).
cnf(c_405,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73,c_393]) ).
cnf(c_406,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_72,c_394]) ).
cnf(c_407,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_408,negated_conjecture,
( sP10_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_409,negated_conjecture,
( sP11_iProver_def = sk_c5
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_410,negated_conjecture,
( sP12_iProver_def = sk_c7
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_412,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_413,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_414,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_415,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_416,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_418,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_419,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_420,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_421,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_422,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_423,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_424,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_425,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_426,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_427,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_428,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_429,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_704,plain,
( sk_c7 = sP14_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_406]) ).
cnf(c_779,plain,
( sk_c7 = sP14_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_409,c_407]) ).
cnf(c_861,plain,
( sk_c6 = sP4_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_412]) ).
cnf(c_925,plain,
( sk_c6 = sP4_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_413]) ).
cnf(c_959,plain,
( multiply(sk_c3,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_391]) ).
cnf(c_961,plain,
( multiply(sk_c3,sP10_iProver_def) = sP11_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_391]) ).
cnf(c_986,plain,
multiply(sP6_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_386,c_81]) ).
cnf(c_987,plain,
multiply(sP12_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_392,c_81]) ).
cnf(c_988,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_390,c_81]) ).
cnf(c_989,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_389,c_81]) ).
cnf(c_990,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_394,c_81]) ).
cnf(c_1388,plain,
( sk_c6 = sP6_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_424]) ).
cnf(c_1436,plain,
( multiply(sk_c3,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_426,c_391]) ).
cnf(c_1490,plain,
( sk_c6 = sP6_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_427,c_425]) ).
cnf(c_1846,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_396]) ).
cnf(c_2502,plain,
( inverse(sP14_iProver_def) = sP6_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_704,c_386]) ).
cnf(c_2586,plain,
( inverse(sP14_iProver_def) = sP6_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_779,c_386]) ).
cnf(c_2636,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_393,c_82]) ).
cnf(c_2637,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_391,c_82]) ).
cnf(c_2638,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_387,c_82]) ).
cnf(c_2641,plain,
multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_388,c_82]) ).
cnf(c_2643,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2645,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_986,c_82]) ).
cnf(c_2646,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_987,c_82]) ).
cnf(c_2647,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_988,c_82]) ).
cnf(c_2648,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_989,c_82]) ).
cnf(c_2649,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_990,c_82]) ).
cnf(c_2655,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2649,c_80]) ).
cnf(c_2656,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2648,c_80]) ).
cnf(c_2657,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2647,c_80]) ).
cnf(c_2658,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2646,c_80]) ).
cnf(c_2659,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2645,c_80]) ).
cnf(c_2916,plain,
( multiply(sk_c1,sP4_iProver_def) = sP8_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_388]) ).
cnf(c_3081,plain,
( multiply(sk_c1,sP4_iProver_def) = sP8_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_925,c_388]) ).
cnf(c_3823,plain,
( multiply(sP6_iProver_def,sk_c5) = sP5_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1388,c_385]) ).
cnf(c_3947,plain,
( multiply(sP6_iProver_def,sk_c5) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1490,c_385]) ).
cnf(c_4459,plain,
multiply(sP9_iProver_def,sP7_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_387,c_2656]) ).
cnf(c_4522,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_391,c_2657]) ).
cnf(c_4808,plain,
multiply(sP6_iProver_def,sP4_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_384,c_2659]) ).
cnf(c_13474,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP13_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_384,c_2636]) ).
cnf(c_13700,plain,
multiply(sP12_iProver_def,multiply(sP13_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_13474,c_2658]) ).
cnf(c_13702,plain,
multiply(sk_c3,sP5_iProver_def) = multiply(sP11_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_2637]) ).
cnf(c_14482,plain,
multiply(sk_c1,sP5_iProver_def) = multiply(sP8_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_2641]) ).
cnf(c_15167,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2643,c_80]) ).
cnf(c_15201,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_15167]) ).
cnf(c_15202,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_15167]) ).
cnf(c_15338,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2659,c_15167]) ).
cnf(c_15339,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2658,c_15167]) ).
cnf(c_15340,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2657,c_15167]) ).
cnf(c_15341,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2656,c_15167]) ).
cnf(c_15342,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2655,c_15167]) ).
cnf(c_15387,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15167,c_15167]) ).
cnf(c_16202,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15202,c_15387]) ).
cnf(c_16221,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16202,c_15201]) ).
cnf(c_16910,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15338,c_399]) ).
cnf(c_16912,plain,
multiply(sk_c7,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15338,c_81]) ).
cnf(c_16915,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_15338,c_398]) ).
cnf(c_16918,plain,
multiply(sk_c7,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_15338,c_16202]) ).
cnf(c_16961,plain,
multiply(sk_c4,identity) = multiply(sP7_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_16912,c_2638]) ).
cnf(c_16962,plain,
multiply(sk_c2,identity) = multiply(sP13_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_16912,c_2636]) ).
cnf(c_17047,plain,
inverse(sP6_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_16918,c_16202]) ).
cnf(c_17522,plain,
multiply(sP7_iProver_def,sP6_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_16961,c_16202]) ).
cnf(c_17528,plain,
multiply(sP13_iProver_def,sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_16962,c_16202]) ).
cnf(c_18883,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c6
| multiply(sk_c2,sk_c6) != sk_c5
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15339,c_399]) ).
cnf(c_18884,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c7
| multiply(sk_c2,sk_c6) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_15339,c_396]) ).
cnf(c_18885,plain,
multiply(sk_c2,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15339,c_81]) ).
cnf(c_18888,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c7
| multiply(sk_c2,sk_c7) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_15339,c_398]) ).
cnf(c_18891,plain,
multiply(sk_c2,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_15339,c_16202]) ).
cnf(c_18902,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18888,c_393]) ).
cnf(c_18948,plain,
inverse(sP12_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_18891,c_16202]) ).
cnf(c_19329,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c6
| multiply(sk_c3,sk_c6) != sk_c5
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15340,c_399]) ).
cnf(c_19331,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15340,c_81]) ).
cnf(c_19337,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_15340,c_16202]) ).
cnf(c_19350,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19329,c_391]) ).
cnf(c_19354,plain,
( sk_c6 = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1436,c_19331]) ).
cnf(c_19357,plain,
( sk_c7 = sP14_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_961,c_19331]) ).
cnf(c_19358,plain,
( sk_c6 = sP4_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_959,c_19331]) ).
cnf(c_19452,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_19337,c_16202]) ).
cnf(c_19765,plain,
( multiply(sP6_iProver_def,sk_c5) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_19354,c_385]) ).
cnf(c_20301,plain,
( inverse(sP14_iProver_def) = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_19357,c_386]) ).
cnf(c_20692,plain,
( multiply(sk_c1,sP4_iProver_def) = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_19358,c_388]) ).
cnf(c_25218,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c5
| multiply(sk_c4,sk_c7) != sk_c5
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15341,c_397]) ).
cnf(c_25220,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_15341,c_16202]) ).
cnf(c_25227,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c5
| sk_c5 != sP7_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25218,c_387]) ).
cnf(c_25279,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_25220,c_16202]) ).
cnf(c_28695,plain,
( inverse(inverse(sP14_iProver_def)) != sk_c5
| multiply(sk_c1,sk_c7) != sk_c5
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15342,c_397]) ).
cnf(c_28697,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_15342,c_16202]) ).
cnf(c_28971,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_28697,c_16202]) ).
cnf(c_28973,plain,
( sk_c1 = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_20301,c_28971]) ).
cnf(c_28978,plain,
( sk_c1 = sP6_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_2586,c_28971]) ).
cnf(c_28979,plain,
( sk_c1 = sP6_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_2502,c_28971]) ).
cnf(c_30932,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP8_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28978,c_3081]) ).
cnf(c_30955,plain,
( sk_c5 = sP8_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_30932,c_4808]) ).
cnf(c_31022,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP8_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_28979,c_2916]) ).
cnf(c_31044,plain,
( sk_c5 = sP8_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_31022,c_4808]) ).
cnf(c_32381,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_30955,c_3947]) ).
cnf(c_33444,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_31044,c_3823]) ).
cnf(c_42817,plain,
( multiply(sP6_iProver_def,sP4_iProver_def) = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28973,c_20692]) ).
cnf(c_42825,plain,
( sk_c5 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_42817,c_4808]) ).
cnf(c_43866,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_42825,c_19765]) ).
cnf(c_45457,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1846,c_16221]) ).
cnf(c_54964,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_45457,c_43866,c_33444,c_32381,c_28971,c_28695,c_28697,c_25279,c_25227,c_25220,c_19452,c_19350,c_19337,c_19331,c_18948,c_18902,c_18884,c_18883,c_18891,c_18885,c_17528,c_17522,c_17047,c_16915,c_16910,c_16918,c_16221,c_14482,c_13702,c_13700,c_13474,c_4808,c_4522,c_4459,c_986,c_429,c_428,c_423,c_422,c_421,c_420,c_419,c_418,c_416,c_410,c_405,c_404,c_403,c_402,c_401,c_400,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_386,c_385,c_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:58:20 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 12.37/2.68 % SZS status Started for theBenchmark.p
% 12.37/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 12.37/2.68
% 12.37/2.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.37/2.68
% 12.37/2.68 ------ iProver source info
% 12.37/2.68
% 12.37/2.68 git: date: 2024-05-02 19:28:25 +0000
% 12.37/2.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.37/2.68 git: non_committed_changes: false
% 12.37/2.68
% 12.37/2.68 ------ Parsing...successful
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 12.37/2.68
% 12.37/2.68 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.37/2.68
% 12.37/2.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 12.37/2.68 ------ Proving...
% 12.37/2.68 ------ Problem Properties
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68 clauses 49
% 12.37/2.68 conjectures 35
% 12.37/2.68 EPR 31
% 12.37/2.68 Horn 18
% 12.37/2.68 unary 14
% 12.37/2.68 binary 30
% 12.37/2.68 lits 93
% 12.37/2.68 lits eq 85
% 12.37/2.68 fd_pure 0
% 12.37/2.68 fd_pseudo 0
% 12.37/2.68 fd_cond 0
% 12.37/2.68 fd_pseudo_cond 0
% 12.37/2.68 AC symbols 0
% 12.37/2.68
% 12.37/2.68 ------ Schedule dynamic 5 is on
% 12.37/2.68
% 12.37/2.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68 ------
% 12.37/2.68 Current options:
% 12.37/2.68 ------
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68 ------ Proving...
% 12.37/2.68
% 12.37/2.68
% 12.37/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 12.37/2.68
% 12.37/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.37/2.68
% 12.37/2.68
%------------------------------------------------------------------------------