TSTP Solution File: GRP255-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:21:55 EDT 2024
% Result : Unsatisfiable 7.85s 1.68s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| 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_c8
| inverse(X0) != sk_c8
| ~ 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_c6
| inverse(X0) != sk_c7
| ~ 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(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_79]) ).
cnf(c_384,negated_conjecture,
( multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_385,plain,
multiply(sk_c7,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c5,sk_c6) = sP6_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c3,sk_c8) = sP7_iProver_def,
definition ).
cnf(c_388,plain,
inverse(sk_c5) = sP8_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c4,sk_c7) = sP9_iProver_def,
definition ).
cnf(c_390,plain,
inverse(sk_c4) = sP10_iProver_def,
definition ).
cnf(c_391,plain,
inverse(sk_c3) = 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,plain,
multiply(sk_c1,sk_c8) = sP15_iProver_def,
definition ).
cnf(c_396,negated_conjecture,
( sP5_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_384,c_385]) ).
cnf(c_397,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_383]) ).
cnf(c_398,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_382]) ).
cnf(c_399,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_381]) ).
cnf(c_400,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_380]) ).
cnf(c_401,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_402,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_78,c_387,c_386]) ).
cnf(c_403,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_77,c_388]) ).
cnf(c_404,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_76,c_389]) ).
cnf(c_405,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_390]) ).
cnf(c_406,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_407,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73,c_391]) ).
cnf(c_408,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_409,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_410,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_412,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_392]) ).
cnf(c_413,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_414,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_415,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_416,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_417,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_63,c_393]) ).
cnf(c_418,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_419,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_420,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_421,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_422,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_58,c_394]) ).
cnf(c_423,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_424,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_425,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_426,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_427,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53,c_395]) ).
cnf(c_428,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_429,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_430,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_431,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP15_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_736,plain,
( multiply(sk_c5,sP7_iProver_def) = sP6_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_386]) ).
cnf(c_737,plain,
( multiply(sk_c5,sP7_iProver_def) = sP6_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_386]) ).
cnf(c_738,plain,
( multiply(sk_c5,sP7_iProver_def) = sP6_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_386]) ).
cnf(c_739,plain,
( multiply(sk_c5,sP7_iProver_def) = sP6_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_386]) ).
cnf(c_740,plain,
( multiply(sk_c5,sP7_iProver_def) = sP6_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_386]) ).
cnf(c_816,plain,
( multiply(sk_c3,sP9_iProver_def) = sP7_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_387]) ).
cnf(c_828,plain,
( multiply(sk_c3,sP10_iProver_def) = sP7_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_387]) ).
cnf(c_911,plain,
( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_386]) ).
cnf(c_960,plain,
( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_393]) ).
cnf(c_961,plain,
( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_393]) ).
cnf(c_972,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_390,c_81]) ).
cnf(c_973,plain,
multiply(sP8_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_974,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_394,c_81]) ).
cnf(c_975,plain,
multiply(sP12_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_392,c_81]) ).
cnf(c_976,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_391,c_81]) ).
cnf(c_995,plain,
( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_386]) ).
cnf(c_1047,plain,
( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_386]) ).
cnf(c_1115,plain,
( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_386]) ).
cnf(c_1190,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_395]) ).
cnf(c_1224,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_423,c_395]) ).
cnf(c_1256,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_395]) ).
cnf(c_1293,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_395]) ).
cnf(c_1408,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_427,c_393]) ).
cnf(c_1440,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_428,c_393]) ).
cnf(c_1466,plain,
( multiply(sk_c1,sP9_iProver_def) = sP15_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_429,c_395]) ).
cnf(c_1526,plain,
( multiply(sk_c1,sP10_iProver_def) = sP15_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_430,c_395]) ).
cnf(c_1946,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_396]) ).
cnf(c_1947,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c8 = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_396]) ).
cnf(c_1948,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c7 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_396]) ).
cnf(c_1949,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c7 = sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_396]) ).
cnf(c_2134,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_397]) ).
cnf(c_2138,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_397]) ).
cnf(c_2158,plain,
( sk_c8 != sP14_iProver_def
| sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2134,c_394]) ).
cnf(c_2249,plain,
( inverse(inverse(sk_c6)) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_398]) ).
cnf(c_2434,plain,
( inverse(sk_c4) != sk_c7
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_399]) ).
cnf(c_2435,plain,
( inverse(sk_c2) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_393,c_399]) ).
cnf(c_2447,plain,
( sk_c7 != sP12_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2435,c_392]) ).
cnf(c_2451,plain,
( sk_c7 != sP10_iProver_def
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2434,c_390]) ).
cnf(c_2519,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_400]) ).
cnf(c_2536,plain,
( sk_c8 != sP9_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2519,c_390]) ).
cnf(c_2603,plain,
( inverse(sk_c7) != sk_c6
| sk_c6 != sP5_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_385,c_401]) ).
cnf(c_2604,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_387,c_401]) ).
cnf(c_2619,plain,
( sk_c6 != sP7_iProver_def
| sk_c6 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2604,c_391]) ).
cnf(c_2932,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_389,c_82]) ).
cnf(c_2934,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_393,c_82]) ).
cnf(c_2937,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2939,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_972,c_82]) ).
cnf(c_2940,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_973,c_82]) ).
cnf(c_2941,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_974,c_82]) ).
cnf(c_2942,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_975,c_82]) ).
cnf(c_2943,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_976,c_82]) ).
cnf(c_2950,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2943,c_80]) ).
cnf(c_2951,plain,
multiply(sP12_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2942,c_80]) ).
cnf(c_2952,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2941,c_80]) ).
cnf(c_2953,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2940,c_80]) ).
cnf(c_2954,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2939,c_80]) ).
cnf(c_4297,plain,
multiply(sP11_iProver_def,sP7_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_387,c_2950]) ).
cnf(c_4302,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_393,c_2951]) ).
cnf(c_4350,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_395,c_2952]) ).
cnf(c_4477,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_386,c_2953]) ).
cnf(c_4499,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_389,c_2954]) ).
cnf(c_4583,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_2953]) ).
cnf(c_4584,plain,
( sk_c6 = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4583,c_4477]) ).
cnf(c_4603,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_2953]) ).
cnf(c_4604,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4603,c_4477]) ).
cnf(c_4634,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_2953]) ).
cnf(c_4635,plain,
( sk_c8 = sP9_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4634,c_4477]) ).
cnf(c_4646,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_2953]) ).
cnf(c_4647,plain,
( sk_c7 = sP8_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4646,c_4477]) ).
cnf(c_4658,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_740,c_2953]) ).
cnf(c_4659,plain,
( sk_c7 = sP6_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4658,c_4477]) ).
cnf(c_4913,plain,
( multiply(sP11_iProver_def,sP7_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_816,c_2950]) ).
cnf(c_4914,plain,
( sk_c8 = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4913,c_4297]) ).
cnf(c_5032,plain,
( multiply(sP11_iProver_def,sP7_iProver_def) = sP10_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_828,c_2950]) ).
cnf(c_5033,plain,
( sk_c8 = sP10_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5032,c_4297]) ).
cnf(c_5227,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_911,c_2953]) ).
cnf(c_5228,plain,
( sk_c7 = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5227,c_4477]) ).
cnf(c_5324,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_995,c_2953]) ).
cnf(c_5325,plain,
( sk_c7 = sP8_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5324,c_4477]) ).
cnf(c_5340,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1047,c_2953]) ).
cnf(c_5341,plain,
( sk_c8 = sP9_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5340,c_4477]) ).
cnf(c_5356,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1115,c_2953]) ).
cnf(c_5357,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5356,c_4477]) ).
cnf(c_5635,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1224,c_2952]) ).
cnf(c_5636,plain,
( sk_c8 = sP14_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5635,c_4350]) ).
cnf(c_6013,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1408,c_2951]) ).
cnf(c_6014,plain,
( sk_c7 = sP6_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6013,c_4302]) ).
cnf(c_6075,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1440,c_2951]) ).
cnf(c_6076,plain,
( sk_c7 = sP8_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6075,c_4302]) ).
cnf(c_6135,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP9_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1466,c_2952]) ).
cnf(c_6136,plain,
( sk_c8 = sP9_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6135,c_4350]) ).
cnf(c_6285,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP10_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1526,c_2952]) ).
cnf(c_6286,plain,
( sk_c8 = sP10_iProver_def
| sk_c7 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6285,c_4350]) ).
cnf(c_7623,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_385,c_2932]) ).
cnf(c_7846,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP13_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_385,c_2934]) ).
cnf(c_9179,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2937,c_80]) ).
cnf(c_9186,plain,
multiply(inverse(sk_c7),sP5_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_385,c_9179]) ).
cnf(c_9191,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_9179]) ).
cnf(c_9192,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_9179]) ).
cnf(c_9311,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2954,c_9179]) ).
cnf(c_9312,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2953,c_9179]) ).
cnf(c_9313,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2952,c_9179]) ).
cnf(c_9314,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2951,c_9179]) ).
cnf(c_9315,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2950,c_9179]) ).
cnf(c_9336,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9179,c_9179]) ).
cnf(c_9894,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_9192,c_9336]) ).
cnf(c_9920,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9894,c_9191]) ).
cnf(c_10099,plain,
( sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_2158]) ).
cnf(c_10100,plain,
( sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_2158]) ).
cnf(c_10101,plain,
( sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_423,c_2158]) ).
cnf(c_10102,plain,
( sk_c7 != sP15_iProver_def
| ~ sP4_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_2158]) ).
cnf(c_10350,plain,
( sk_c6 != sP13_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_2447]) ).
cnf(c_10351,plain,
( sk_c6 != sP13_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_2447]) ).
cnf(c_11079,plain,
( sk_c8 != sP10_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_2536]) ).
cnf(c_11197,plain,
( multiply(sk_c4,sk_c8) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9311,c_401]) ).
cnf(c_11199,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9311,c_81]) ).
cnf(c_11202,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(inverse(sP10_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9311,c_400]) ).
cnf(c_11206,plain,
multiply(sk_c4,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_9311,c_9894]) ).
cnf(c_11214,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c8
| sk_c8 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11202,c_389]) ).
cnf(c_11250,plain,
( ~ sP1_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11079,c_5033,c_11079]) ).
cnf(c_11332,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_2619]) ).
cnf(c_11333,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_2619]) ).
cnf(c_11334,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_409,c_2619]) ).
cnf(c_11335,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_2619]) ).
cnf(c_11336,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_2619]) ).
cnf(c_11495,plain,
( ~ sP0_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11332,c_4584,c_11332]) ).
cnf(c_11501,plain,
inverse(sP10_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_11206,c_9894]) ).
cnf(c_11518,plain,
multiply(sk_c5,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9312,c_81]) ).
cnf(c_11521,plain,
( multiply(sk_c5,sk_c7) != sk_c8
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9312,c_400]) ).
cnf(c_11522,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9312,c_399]) ).
cnf(c_11523,plain,
( multiply(sk_c5,sk_c6) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_9312,c_398]) ).
cnf(c_11525,plain,
multiply(sk_c5,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_9312,c_9894]) ).
cnf(c_11526,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c7
| sk_c7 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11523,c_386]) ).
cnf(c_11784,plain,
inverse(sP8_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_11525,c_9894]) ).
cnf(c_11813,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9313,c_81]) ).
cnf(c_11816,plain,
( multiply(sk_c1,sk_c7) != sk_c8
| inverse(inverse(sP14_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9313,c_400]) ).
cnf(c_11820,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_9313,c_9894]) ).
cnf(c_11840,plain,
( sk_c7 = sP8_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1224,c_11813]) ).
cnf(c_11841,plain,
( sk_c7 = sP6_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1190,c_11813]) ).
cnf(c_12589,plain,
( multiply(sk_c4,sP6_iProver_def) = sP9_iProver_def
| identity = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_11841,c_389]) ).
cnf(c_12778,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_11820,c_9894]) ).
cnf(c_12937,plain,
multiply(sk_c2,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9314,c_81]) ).
cnf(c_12944,plain,
multiply(sk_c2,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_9314,c_9894]) ).
cnf(c_12963,plain,
( sk_c7 = sP6_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_961,c_12937]) ).
cnf(c_12964,plain,
( sk_c7 = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_960,c_12937]) ).
cnf(c_13005,plain,
inverse(sP12_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_12944,c_9894]) ).
cnf(c_13885,plain,
( inverse(sk_c7) != sk_c6
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2603,c_2603,c_11495]) ).
cnf(c_16042,plain,
( sP3_iProver_def
| sk_c8 = sP10_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1946,c_1946,c_2447,c_4604,c_5033,c_5357,c_6286,c_10099,c_11333]) ).
cnf(c_16043,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c8 = sP10_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_16042]) ).
cnf(c_16052,plain,
( sP3_iProver_def
| sk_c8 = sP9_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1947,c_1947,c_2447,c_4635,c_4914,c_5341,c_6136,c_10100,c_11334]) ).
cnf(c_16053,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c8 = sP9_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_16052]) ).
cnf(c_16062,plain,
( sP3_iProver_def
| sk_c7 = sP8_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1948,c_1948,c_4647,c_5325,c_6076,c_10101,c_10350,c_11335]) ).
cnf(c_16063,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c7 = sP8_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_16062]) ).
cnf(c_16072,plain,
( sP3_iProver_def
| sk_c7 = sP6_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1949,c_1949,c_4659,c_5228,c_6014,c_10102,c_10351,c_11336]) ).
cnf(c_16073,plain,
( sP5_iProver_def != sP7_iProver_def
| sk_c7 = sP6_iProver_def
| sP1_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_16072]) ).
cnf(c_16238,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_2249]) ).
cnf(c_16239,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_2249]) ).
cnf(c_17180,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_9315,c_9894]) ).
cnf(c_17902,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_17180,c_9894]) ).
cnf(c_19481,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_17902,c_16239,c_16238,c_16073,c_16063,c_16053,c_16043,c_13885,c_13005,c_12964,c_12963,c_12944,c_12937,c_12778,c_12589,c_11840,c_11816,c_11820,c_11813,c_11784,c_11526,c_11522,c_11521,c_11525,c_11518,c_11501,c_11250,c_11214,c_11197,c_11206,c_11199,c_9920,c_9186,c_7846,c_7623,c_5636,c_5228,c_4499,c_4477,c_4302,c_4297,c_2603,c_2451,c_2138,c_1293,c_1256,c_1224,c_1190,c_431,c_430,c_429,c_428,c_427,c_426,c_423,c_421,c_418,c_416,c_411,c_408,c_406,c_405,c_404,c_403,c_402,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_386,c_385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:39:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.85/1.68 % SZS status Started for theBenchmark.p
% 7.85/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.68
% 7.85/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.85/1.68
% 7.85/1.68 ------ iProver source info
% 7.85/1.68
% 7.85/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.85/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.85/1.68 git: non_committed_changes: false
% 7.85/1.68
% 7.85/1.68 ------ Parsing...successful
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.85/1.68
% 7.85/1.68 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.85/1.68
% 7.85/1.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.85/1.68 ------ Proving...
% 7.85/1.68 ------ Problem Properties
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68 clauses 50
% 7.85/1.68 conjectures 36
% 7.85/1.68 EPR 31
% 7.85/1.68 Horn 19
% 7.85/1.68 unary 14
% 7.85/1.68 binary 30
% 7.85/1.68 lits 95
% 7.85/1.68 lits eq 85
% 7.85/1.68 fd_pure 0
% 7.85/1.68 fd_pseudo 0
% 7.85/1.68 fd_cond 0
% 7.85/1.68 fd_pseudo_cond 0
% 7.85/1.68 AC symbols 0
% 7.85/1.68
% 7.85/1.68 ------ Schedule dynamic 5 is on
% 7.85/1.68
% 7.85/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68 ------
% 7.85/1.68 Current options:
% 7.85/1.68 ------
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68 ------ Proving...
% 7.85/1.68
% 7.85/1.68
% 7.85/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.68
% 7.85/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.69
% 7.85/1.69
%------------------------------------------------------------------------------