TSTP Solution File: GRP281-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP281-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 06:59:20 EDT 2024
% Result : Unsatisfiable 14.26s 2.69s
% Output : CNFRefutation 14.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != X2
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c6) != sk_c7
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != 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,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,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_377,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_83]) ).
cnf(c_380,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_381,plain,
multiply(sk_c8,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_382,plain,
multiply(sk_c7,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_383,plain,
multiply(sk_c5,sk_c6) = sP6_iProver_def,
definition ).
cnf(c_384,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_385,plain,
inverse(sk_c5) = sP8_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c4,sk_c7) = sP9_iProver_def,
definition ).
cnf(c_387,plain,
inverse(sk_c4) = sP10_iProver_def,
definition ).
cnf(c_388,plain,
multiply(sk_c2,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c8,sk_c3) = sP12_iProver_def,
definition ).
cnf(c_390,plain,
inverse(sk_c1) = sP13_iProver_def,
definition ).
cnf(c_391,plain,
multiply(sk_c1,sk_c8) = sP14_iProver_def,
definition ).
cnf(c_392,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_380,c_382,c_381]) ).
cnf(c_393,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_394,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_378]) ).
cnf(c_395,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_377]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_376]) ).
cnf(c_397,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_78,c_384,c_383]) ).
cnf(c_398,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_77,c_385]) ).
cnf(c_399,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_76,c_386]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_387]) ).
cnf(c_401,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_402,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73,c_388]) ).
cnf(c_403,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_405,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_406,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_407,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_389]) ).
cnf(c_408,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_410,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_412,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_63,c_390]) ).
cnf(c_413,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_414,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_415,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_416,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_419,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_420,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_421,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP14_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_425,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_426,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_427,plain,
X0 = X0,
theory(equality) ).
cnf(c_428,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_727,plain,
( multiply(sk_c8,sP12_iProver_def) = sP4_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_381]) ).
cnf(c_750,plain,
( multiply(sk_c8,sP12_iProver_def) = sP4_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_381]) ).
cnf(c_796,plain,
( multiply(sk_c8,sP12_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_381]) ).
cnf(c_815,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_383]) ).
cnf(c_831,plain,
( multiply(sk_c4,sP6_iProver_def) = sP9_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_386]) ).
cnf(c_862,plain,
( sk_c6 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_866,plain,
( multiply(sk_c8,sP11_iProver_def) = sP12_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_389]) ).
cnf(c_867,plain,
( multiply(sk_c8,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_389]) ).
cnf(c_869,plain,
( multiply(sk_c8,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_389]) ).
cnf(c_870,plain,
( multiply(sk_c8,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_389]) ).
cnf(c_896,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_906,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_387,c_81]) ).
cnf(c_907,plain,
multiply(sP8_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_385,c_81]) ).
cnf(c_908,plain,
multiply(sP13_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_390,c_81]) ).
cnf(c_909,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_384,c_81]) ).
cnf(c_931,plain,
( multiply(sk_c4,sP8_iProver_def) = sP9_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_386]) ).
cnf(c_932,plain,
( multiply(sP8_iProver_def,sk_c8) = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_382]) ).
cnf(c_961,plain,
( sk_c6 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_862]) ).
cnf(c_983,plain,
( multiply(sk_c1,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_391]) ).
cnf(c_1012,plain,
( multiply(sk_c1,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_391]) ).
cnf(c_1015,plain,
( multiply(sk_c7,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_382]) ).
cnf(c_1016,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_381]) ).
cnf(c_1047,plain,
( X0 != sP5_iProver_def
| sk_c6 != sP5_iProver_def
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_1060,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_383]) ).
cnf(c_1202,plain,
( multiply(sk_c8,sP14_iProver_def) = sP4_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_381]) ).
cnf(c_1234,plain,
( sk_c6 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_1047]) ).
cnf(c_1235,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_1258,plain,
( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_386]) ).
cnf(c_1260,plain,
( multiply(sk_c8,sP14_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_381]) ).
cnf(c_1305,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_383]) ).
cnf(c_1435,plain,
( multiply(sk_c5,sP4_iProver_def) = sP6_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_383]) ).
cnf(c_1463,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_426,c_383]) ).
cnf(c_1782,plain,
( sk_c6 != sP5_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_392]) ).
cnf(c_1787,plain,
( sk_c6 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sk_c8 = sP13_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_392]) ).
cnf(c_1789,plain,
( sk_c6 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sk_c8 = sP7_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_392]) ).
cnf(c_1875,plain,
( inverse(sk_c5) != sk_c7
| sk_c7 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_383,c_394]) ).
cnf(c_1876,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_394]) ).
cnf(c_1890,plain,
( sk_c7 != sP6_iProver_def
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1875,c_385]) ).
cnf(c_1980,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_391,c_395]) ).
cnf(c_1998,plain,
( sk_c8 != sP13_iProver_def
| sk_c7 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1980,c_390]) ).
cnf(c_2080,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_2089,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_386,c_396]) ).
cnf(c_2090,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_396]) ).
cnf(c_2108,plain,
( sk_c8 != sP9_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2089,c_387]) ).
cnf(c_2254,plain,
( multiply(sk_c8,sP14_iProver_def) != sk_c7
| inverse(sk_c1) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_391,c_393]) ).
cnf(c_2272,plain,
( multiply(sk_c8,sP14_iProver_def) != sk_c7
| sk_c8 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2254,c_390]) ).
cnf(c_2738,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_381,c_82]) ).
cnf(c_2739,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_382,c_82]) ).
cnf(c_2740,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_386,c_82]) ).
cnf(c_2741,plain,
multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_383,c_82]) ).
cnf(c_2742,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP14_iProver_def,X0),
inference(superposition,[status(thm)],[c_391,c_82]) ).
cnf(c_2743,plain,
multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_389,c_82]) ).
cnf(c_2744,plain,
multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_388,c_82]) ).
cnf(c_2746,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2749,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_906,c_82]) ).
cnf(c_2750,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_907,c_82]) ).
cnf(c_2751,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_908,c_82]) ).
cnf(c_2752,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_909,c_82]) ).
cnf(c_2758,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2752,c_80]) ).
cnf(c_2759,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2751,c_80]) ).
cnf(c_2760,plain,
multiply(sP8_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2750,c_80]) ).
cnf(c_2761,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2749,c_80]) ).
cnf(c_2863,plain,
multiply(sP7_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_388,c_2758]) ).
cnf(c_2866,plain,
multiply(sP7_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2863,c_82]) ).
cnf(c_2872,plain,
multiply(sP13_iProver_def,sP14_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_391,c_2759]) ).
cnf(c_2875,plain,
multiply(sP13_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2872,c_82]) ).
cnf(c_3311,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_383,c_2760]) ).
cnf(c_3324,plain,
multiply(sP8_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3311,c_82]) ).
cnf(c_3326,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_386,c_2761]) ).
cnf(c_3332,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3326,c_82]) ).
cnf(c_3832,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_796]) ).
cnf(c_3853,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_815,c_2760]) ).
cnf(c_3854,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3853,c_3311]) ).
cnf(c_4194,plain,
( multiply(sP13_iProver_def,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_867]) ).
cnf(c_4517,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_931,c_2761]) ).
cnf(c_4518,plain,
( sk_c8 = sP13_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4517,c_3326]) ).
cnf(c_4627,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_983,c_2759]) ).
cnf(c_4628,plain,
( sk_c8 = sP9_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4627,c_2872]) ).
cnf(c_5049,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1012,c_2759]) ).
cnf(c_5050,plain,
( sk_c8 = sP10_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5049,c_2872]) ).
cnf(c_5252,plain,
( multiply(sP14_iProver_def,sP13_iProver_def) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_1015]) ).
cnf(c_5296,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_1016]) ).
cnf(c_5310,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5296,c_2872]) ).
cnf(c_5373,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1060,c_2760]) ).
cnf(c_5374,plain,
( sk_c8 = sP13_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5373,c_3311]) ).
cnf(c_6427,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1258,c_2761]) ).
cnf(c_6428,plain,
( sk_c8 = sP10_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6427,c_3326]) ).
cnf(c_6555,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1305,c_2760]) ).
cnf(c_6556,plain,
( sk_c7 = sP14_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6555,c_3311]) ).
cnf(c_6611,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1435,c_2760]) ).
cnf(c_6612,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6611,c_3311]) ).
cnf(c_6623,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1463,c_2760]) ).
cnf(c_6624,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6623,c_3311]) ).
cnf(c_8467,plain,
multiply(sk_c7,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_381,c_2739]) ).
cnf(c_8468,plain,
multiply(sk_c7,sP12_iProver_def) = multiply(sP5_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_389,c_2739]) ).
cnf(c_8482,plain,
( multiply(sk_c7,sP12_iProver_def) = multiply(sP5_iProver_def,sP11_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_867,c_2739]) ).
cnf(c_8643,plain,
( multiply(sP5_iProver_def,sP14_iProver_def) = multiply(sP14_iProver_def,sP4_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_8467]) ).
cnf(c_8817,plain,
( multiply(sP5_iProver_def,sk_c3) = multiply(sP14_iProver_def,sP12_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_8468]) ).
cnf(c_8924,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_382,c_2740]) ).
cnf(c_9119,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,sk_c8)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_8924,c_2761]) ).
cnf(c_9144,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_381,c_2742]) ).
cnf(c_9152,plain,
( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP12_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_796,c_2742]) ).
cnf(c_9154,plain,
( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP12_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_750,c_2742]) ).
cnf(c_9155,plain,
( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP12_iProver_def)
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_727,c_2742]) ).
cnf(c_9515,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_381,c_2744]) ).
cnf(c_9523,plain,
( multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sP12_iProver_def)
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_796,c_2744]) ).
cnf(c_9533,plain,
( multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sP14_iProver_def)
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1202,c_2744]) ).
cnf(c_11441,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2746,c_80]) ).
cnf(c_11446,plain,
multiply(inverse(sk_c8),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_381,c_11441]) ).
cnf(c_11447,plain,
multiply(inverse(sk_c7),sP5_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_382,c_11441]) ).
cnf(c_11453,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_11441]) ).
cnf(c_11454,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_11441]) ).
cnf(c_11455,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_11441]) ).
cnf(c_11582,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2761,c_11441]) ).
cnf(c_11583,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2760,c_11441]) ).
cnf(c_11584,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2759,c_11441]) ).
cnf(c_11585,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2758,c_11441]) ).
cnf(c_11624,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11441,c_11441]) ).
cnf(c_12599,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11454,c_11624]) ).
cnf(c_12610,plain,
multiply(sk_c4,sk_c7) = multiply(sP9_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2740]) ).
cnf(c_12611,plain,
multiply(sk_c8,sk_c7) = multiply(sP4_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2738]) ).
cnf(c_12612,plain,
multiply(sk_c2,sk_c8) = multiply(sP11_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2744]) ).
cnf(c_12613,plain,
multiply(sk_c1,sk_c8) = multiply(sP14_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2742]) ).
cnf(c_12614,plain,
multiply(sk_c7,sk_c8) = multiply(sP5_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2739]) ).
cnf(c_12615,plain,
multiply(sk_c7,identity) = multiply(sP10_iProver_def,sP9_iProver_def),
inference(superposition,[status(thm)],[c_12599,c_3332]) ).
cnf(c_12616,plain,
multiply(sk_c6,identity) = multiply(sP8_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_12599,c_3324]) ).
cnf(c_12617,plain,
multiply(sk_c5,sk_c6) = multiply(sP6_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2741]) ).
cnf(c_12618,plain,
multiply(sk_c8,identity) = multiply(sP13_iProver_def,sP14_iProver_def),
inference(superposition,[status(thm)],[c_12599,c_2875]) ).
cnf(c_12619,plain,
multiply(sk_c8,sk_c3) = multiply(sP12_iProver_def,identity),
inference(superposition,[status(thm)],[c_12599,c_2743]) ).
cnf(c_12620,plain,
multiply(sk_c8,identity) = multiply(sP7_iProver_def,sP11_iProver_def),
inference(superposition,[status(thm)],[c_12599,c_2866]) ).
cnf(c_12625,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12599,c_11453]) ).
cnf(c_12626,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_12620,c_2863]) ).
cnf(c_12627,plain,
multiply(sP12_iProver_def,identity) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_12619,c_389]) ).
cnf(c_12629,plain,
multiply(sP6_iProver_def,identity) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_12617,c_383]) ).
cnf(c_12630,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_12616,c_3311]) ).
cnf(c_12631,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_12615,c_3326]) ).
cnf(c_12632,plain,
multiply(sP5_iProver_def,identity) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_12614,c_382]) ).
cnf(c_12633,plain,
multiply(sP14_iProver_def,identity) = sP14_iProver_def,
inference(light_normalisation,[status(thm)],[c_12613,c_391]) ).
cnf(c_12634,plain,
multiply(sP11_iProver_def,identity) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_12612,c_388]) ).
cnf(c_12635,plain,
multiply(sP4_iProver_def,identity) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_12611,c_381]) ).
cnf(c_12636,plain,
multiply(sP9_iProver_def,identity) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_12610,c_386]) ).
cnf(c_12665,plain,
( sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_1890]) ).
cnf(c_12761,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_12625,c_81]) ).
cnf(c_12763,plain,
( ~ sP2_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_12665,c_4518,c_12665]) ).
cnf(c_13062,plain,
( sk_c7 != sP14_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_1998]) ).
cnf(c_13742,plain,
( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11582,c_393]) ).
cnf(c_13743,plain,
( multiply(sk_c4,sk_c8) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11582,c_395]) ).
cnf(c_13744,plain,
multiply(sk_c4,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11582,c_81]) ).
cnf(c_13748,plain,
( multiply(sk_c4,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11582,c_394]) ).
cnf(c_13750,plain,
multiply(sk_c4,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_11582,c_12599]) ).
cnf(c_13838,plain,
inverse(sP10_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_13750,c_12599]) ).
cnf(c_13927,plain,
( sP0_iProver_def
| sk_c8 = sP10_iProver_def
| sk_c6 != sP5_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1782,c_392,c_961,c_1234,c_1235,c_2080,c_6428,c_6612,c_13062]) ).
cnf(c_13928,plain,
( sk_c6 != sP5_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_13927]) ).
cnf(c_14107,plain,
multiply(sk_c5,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11583,c_81]) ).
cnf(c_14113,plain,
multiply(sk_c5,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_11583,c_12599]) ).
cnf(c_14135,plain,
inverse(sP8_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_14113,c_12599]) ).
cnf(c_14256,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1876,c_12625]) ).
cnf(c_14505,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2090,c_12625]) ).
cnf(c_14808,plain,
multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP4_iProver_def)) = sk_c7,
inference(superposition,[status(thm)],[c_381,c_11455]) ).
cnf(c_14809,plain,
multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sP5_iProver_def)) = sk_c8,
inference(superposition,[status(thm)],[c_382,c_11455]) ).
cnf(c_14810,plain,
multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP9_iProver_def)) = sk_c7,
inference(superposition,[status(thm)],[c_386,c_11455]) ).
cnf(c_14811,plain,
multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sk_c6,
inference(superposition,[status(thm)],[c_383,c_11455]) ).
cnf(c_14813,plain,
multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP12_iProver_def)) = sk_c3,
inference(superposition,[status(thm)],[c_389,c_11455]) ).
cnf(c_14831,plain,
( multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sP5_iProver_def)) = sk_c8
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_932,c_11455]) ).
cnf(c_14848,plain,
( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP9_iProver_def)) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_931,c_11455]) ).
cnf(c_14851,plain,
( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP9_iProver_def)) = sP6_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_831,c_11455]) ).
cnf(c_14888,plain,
multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_906,c_11455]) ).
cnf(c_14891,plain,
multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_909,c_11455]) ).
cnf(c_14919,plain,
( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1435,c_11455]) ).
cnf(c_14964,plain,
multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sk_c6)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_3311,c_11455]) ).
cnf(c_14972,plain,
( multiply(inverse(multiply(X0,sP14_iProver_def)),multiply(X0,sP5_iProver_def)) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_5252,c_11455]) ).
cnf(c_14977,plain,
( multiply(inverse(multiply(X0,sP14_iProver_def)),multiply(X0,multiply(sP5_iProver_def,sP14_iProver_def))) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_8643,c_11455]) ).
cnf(c_15019,plain,
multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_13744,c_11455]) ).
cnf(c_15021,plain,
multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_14107,c_11455]) ).
cnf(c_15035,plain,
multiply(inverse(multiply(X0,sk_c5)),X0) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_15021,c_12599]) ).
cnf(c_15036,plain,
multiply(inverse(multiply(X0,sk_c4)),X0) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_15019,c_12599]) ).
cnf(c_15037,plain,
multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_14891,c_12599]) ).
cnf(c_15040,plain,
multiply(inverse(multiply(X0,sP10_iProver_def)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_14888,c_12599]) ).
cnf(c_17845,plain,
multiply(sk_c1,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11584,c_81]) ).
cnf(c_17853,plain,
multiply(sk_c1,multiply(sP13_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11584,c_11441]) ).
cnf(c_17854,plain,
multiply(sk_c1,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_11584,c_12599]) ).
cnf(c_17879,plain,
( sk_c8 = sP10_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_1012,c_17845]) ).
cnf(c_17880,plain,
( sk_c8 = sP9_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_983,c_17845]) ).
cnf(c_18032,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = sP13_iProver_def,
inference(superposition,[status(thm)],[c_17845,c_11455]) ).
cnf(c_18033,plain,
multiply(sP13_iProver_def,identity) = sP13_iProver_def,
inference(superposition,[status(thm)],[c_17845,c_2759]) ).
cnf(c_18043,plain,
multiply(inverse(multiply(X0,sk_c1)),X0) = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_18032,c_12599]) ).
cnf(c_18046,plain,
inverse(sP13_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_17854,c_12599]) ).
cnf(c_19276,plain,
( identity = sP14_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_17880,c_17879]) ).
cnf(c_20260,plain,
( multiply(sk_c1,sP4_iProver_def) = sk_c7
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1016,c_17853]) ).
cnf(c_20266,plain,
( multiply(sk_c1,sP4_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3832,c_17853]) ).
cnf(c_20292,plain,
( multiply(sP14_iProver_def,sk_c7) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20266,c_9144]) ).
cnf(c_20300,plain,
( multiply(sP14_iProver_def,sk_c7) = sk_c7
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20260,c_9144]) ).
cnf(c_20529,plain,
( multiply(sP14_iProver_def,X0) = X0
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_19276,c_80]) ).
cnf(c_20564,plain,
( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11585,c_393]) ).
cnf(c_20566,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11585,c_81]) ).
cnf(c_20575,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_11585,c_12599]) ).
cnf(c_20587,plain,
( multiply(sk_c8,sP11_iProver_def) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20564,c_388]) ).
cnf(c_20904,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_20575,c_12599]) ).
cnf(c_22203,plain,
( inverse(inverse(multiply(sk_c6,sk_c5))) != sk_c7
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15035,c_394]) ).
cnf(c_22307,plain,
( inverse(inverse(multiply(sk_c8,sk_c4))) != sk_c8
| sk_c7 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_15036,c_395]) ).
cnf(c_22313,plain,
( inverse(inverse(multiply(sk_c7,sk_c4))) != sk_c8
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15036,c_396]) ).
cnf(c_22316,plain,
multiply(inverse(sP10_iProver_def),inverse(multiply(sk_c4,sk_c4))) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_15036,c_15036]) ).
cnf(c_22321,plain,
multiply(sk_c4,inverse(multiply(sk_c4,sk_c4))) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_22316,c_13838]) ).
cnf(c_23307,plain,
multiply(inverse(multiply(inverse(sP4_iProver_def),sk_c8)),identity) = sk_c7,
inference(superposition,[status(thm)],[c_81,c_14808]) ).
cnf(c_24284,plain,
multiply(inverse(sP10_iProver_def),inverse(multiply(sP7_iProver_def,sk_c4))) = sk_c2,
inference(superposition,[status(thm)],[c_15036,c_15037]) ).
cnf(c_24306,plain,
multiply(sk_c4,inverse(multiply(sP7_iProver_def,sk_c4))) = sk_c2,
inference(light_normalisation,[status(thm)],[c_24284,c_13838]) ).
cnf(c_29363,plain,
inverse(multiply(inverse(sP4_iProver_def),sk_c8)) = sk_c7,
inference(demodulation,[status(thm)],[c_23307,c_12599]) ).
cnf(c_29387,plain,
multiply(sk_c7,multiply(inverse(sP4_iProver_def),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_29363,c_81]) ).
cnf(c_29666,plain,
( multiply(sk_c7,multiply(inverse(sP4_iProver_def),sP13_iProver_def)) = identity
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_29387]) ).
cnf(c_29671,plain,
multiply(inverse(sk_c7),identity) = multiply(inverse(sP4_iProver_def),sk_c8),
inference(superposition,[status(thm)],[c_29387,c_11441]) ).
cnf(c_29674,plain,
multiply(inverse(multiply(sk_c7,inverse(sP4_iProver_def))),identity) = sk_c8,
inference(superposition,[status(thm)],[c_29387,c_11455]) ).
cnf(c_29678,plain,
multiply(sP4_iProver_def,multiply(inverse(sP4_iProver_def),sk_c8)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_29387,c_2738]) ).
cnf(c_34288,plain,
multiply(inverse(sk_c4),inverse(multiply(sP10_iProver_def,sP10_iProver_def))) = sk_c4,
inference(superposition,[status(thm)],[c_15040,c_15040]) ).
cnf(c_34298,plain,
multiply(sP10_iProver_def,inverse(multiply(sP10_iProver_def,sP10_iProver_def))) = sk_c4,
inference(light_normalisation,[status(thm)],[c_34288,c_387]) ).
cnf(c_36315,plain,
( multiply(inverse(sk_c1),sP14_iProver_def) = sP13_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_20529,c_18043]) ).
cnf(c_36370,plain,
( sk_c8 = sP13_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36315,c_390,c_2872]) ).
cnf(c_37020,plain,
( multiply(inverse(multiply(sk_c7,inverse(sP4_iProver_def))),identity) = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_29666,c_11455]) ).
cnf(c_40351,plain,
multiply(inverse(multiply(inverse(sP5_iProver_def),sk_c7)),identity) = sk_c8,
inference(superposition,[status(thm)],[c_81,c_14809]) ).
cnf(c_41187,plain,
inverse(multiply(inverse(sP5_iProver_def),sk_c7)) = sk_c8,
inference(demodulation,[status(thm)],[c_40351,c_12599]) ).
cnf(c_41218,plain,
multiply(sk_c8,multiply(inverse(sP5_iProver_def),sk_c7)) = identity,
inference(superposition,[status(thm)],[c_41187,c_81]) ).
cnf(c_41408,plain,
( multiply(sk_c8,multiply(inverse(sP5_iProver_def),sP14_iProver_def)) = identity
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_41218]) ).
cnf(c_41424,plain,
multiply(inverse(multiply(sk_c8,inverse(sP5_iProver_def))),identity) = sk_c7,
inference(superposition,[status(thm)],[c_41218,c_11455]) ).
cnf(c_41803,plain,
inverse(multiply(sk_c4,sk_c4)) = multiply(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_22321,c_2761]) ).
cnf(c_41808,plain,
multiply(sk_c4,multiply(sP10_iProver_def,sP10_iProver_def)) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_22321,c_41803]) ).
cnf(c_42573,plain,
multiply(inverse(sk_c8),multiply(identity,sP12_iProver_def)) = sk_c3,
inference(superposition,[status(thm)],[c_80,c_14813]) ).
cnf(c_43098,plain,
inverse(multiply(sP7_iProver_def,sk_c4)) = multiply(sP10_iProver_def,sk_c2),
inference(superposition,[status(thm)],[c_24306,c_2761]) ).
cnf(c_44360,plain,
( multiply(inverse(multiply(sk_c8,inverse(sP5_iProver_def))),identity) = sP14_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_41408,c_11455]) ).
cnf(c_44513,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_44360,c_43098,c_42573,c_41808,c_41424,c_37020,c_36370,c_34298,c_29678,c_29674,c_29671,c_22313,c_22307,c_22203,c_20904,c_20587,c_20566,c_20300,c_20292,c_18046,c_18033,c_17845,c_14977,c_14972,c_14964,c_14919,c_14851,c_14848,c_14831,c_14811,c_14810,c_14505,c_14256,c_14135,c_14113,c_13928,c_13838,c_13748,c_13743,c_13742,c_13744,c_12763,c_12636,c_12635,c_12634,c_12633,c_12632,c_12631,c_12630,c_12629,c_12627,c_12626,c_12620,c_12619,c_12618,c_12617,c_12616,c_12615,c_12614,c_12613,c_12612,c_12611,c_12610,c_12625,c_12599,c_11447,c_11446,c_9533,c_9523,c_9515,c_9155,c_9154,c_9152,c_9144,c_9119,c_8817,c_8482,c_8468,c_6624,c_6556,c_5374,c_5310,c_5050,c_4628,c_4194,c_3854,c_2272,c_2108,c_1789,c_1787,c_1260,c_12761,c_909,c_907,c_906,c_870,c_869,c_866,c_401,c_400,c_399,c_398,c_397,c_392,c_387,c_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP281-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n032.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Jun 20 08:49:09 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 14.26/2.69 % SZS status Started for theBenchmark.p
% 14.26/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 14.26/2.69
% 14.26/2.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.26/2.69
% 14.26/2.69 ------ iProver source info
% 14.26/2.69
% 14.26/2.69 git: date: 2024-06-12 09:56:46 +0000
% 14.26/2.69 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 14.26/2.69 git: non_committed_changes: false
% 14.26/2.69
% 14.26/2.69 ------ Parsing...successful
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 14.26/2.69
% 14.26/2.69 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.26/2.69
% 14.26/2.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.26/2.69 ------ Proving...
% 14.26/2.69 ------ Problem Properties
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69 clauses 49
% 14.26/2.69 conjectures 35
% 14.26/2.69 EPR 31
% 14.26/2.69 Horn 18
% 14.26/2.69 unary 14
% 14.26/2.69 binary 30
% 14.26/2.69 lits 92
% 14.26/2.69 lits eq 84
% 14.26/2.69 fd_pure 0
% 14.26/2.69 fd_pseudo 0
% 14.26/2.69 fd_cond 0
% 14.26/2.69 fd_pseudo_cond 0
% 14.26/2.69 AC symbols 0
% 14.26/2.69
% 14.26/2.69 ------ Schedule dynamic 5 is on
% 14.26/2.69
% 14.26/2.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69 ------
% 14.26/2.69 Current options:
% 14.26/2.69 ------
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69 ------ Proving...
% 14.26/2.69
% 14.26/2.69
% 14.26/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 14.26/2.69
% 14.26/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.26/2.70
% 14.26/2.70
%------------------------------------------------------------------------------