TSTP Solution File: GRP231-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP231-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 06:58:49 EDT 2024
% Result : Unsatisfiable 20.91s 3.69s
% Output : CNFRefutation 20.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_84,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_372,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).
cnf(c_373,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).
cnf(c_374,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_375,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_376,plain,
inverse(sk_c8) = sP3_iProver_def,
definition ).
cnf(c_377,plain,
multiply(sk_c3,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_378,plain,
inverse(sk_c5) = sP5_iProver_def,
definition ).
cnf(c_379,plain,
multiply(sk_c5,sk_c8) = sP6_iProver_def,
definition ).
cnf(c_380,plain,
multiply(sk_c8,sk_c6) = sP7_iProver_def,
definition ).
cnf(c_381,plain,
multiply(sk_c4,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_382,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_383,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_384,plain,
multiply(sk_c2,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_385,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c1,sk_c2) = sP13_iProver_def,
definition ).
cnf(c_387,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_375,c_376]) ).
cnf(c_388,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_374]) ).
cnf(c_390,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_373]) ).
cnf(c_391,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_372]) ).
cnf(c_392,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_78,c_378,c_377]) ).
cnf(c_393,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77,c_379]) ).
cnf(c_394,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_380]) ).
cnf(c_395,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_381]) ).
cnf(c_396,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_74,c_382]) ).
cnf(c_397,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_73,c_383]) ).
cnf(c_399,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_400,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_401,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_402,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68,c_384]) ).
cnf(c_403,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_406,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_407,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_63,c_385]) ).
cnf(c_408,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_409,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_410,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_411,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_412,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_58,c_386]) ).
cnf(c_413,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_414,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_415,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_416,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_417,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_418,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_419,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_420,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_421,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_422,plain,
X0 = X0,
theory(equality) ).
cnf(c_423,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_425,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_428,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_640,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c8 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_394,c_387]) ).
cnf(c_650,plain,
( sk_c8 = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_392,c_395]) ).
cnf(c_661,plain,
( sk_c8 = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_392]) ).
cnf(c_690,plain,
( inverse(sP9_iProver_def) = sP3_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_376]) ).
cnf(c_705,plain,
( multiply(sk_c5,sP9_iProver_def) = sP6_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_379]) ).
cnf(c_706,plain,
( multiply(sk_c5,sP8_iProver_def) = sP6_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_379]) ).
cnf(c_707,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_392,c_379]) ).
cnf(c_719,plain,
( multiply(sP5_iProver_def,sk_c6) = sP7_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_392,c_380]) ).
cnf(c_755,plain,
( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_379]) ).
cnf(c_783,plain,
( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_379]) ).
cnf(c_845,plain,
( sk_c7 != X0
| sP3_iProver_def != X0
| sP3_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_846,plain,
( sk_c7 != sk_c8
| sP3_iProver_def != sk_c8
| sP3_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_845]) ).
cnf(c_848,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_853,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_380]) ).
cnf(c_856,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_848]) ).
cnf(c_857,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_858,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_856]) ).
cnf(c_914,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_856]) ).
cnf(c_915,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_917,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_961,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_848]) ).
cnf(c_962,plain,
( sk_c8 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_961]) ).
cnf(c_967,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_917]) ).
cnf(c_968,plain,
( sk_c8 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_967]) ).
cnf(c_973,plain,
( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_394,c_381]) ).
cnf(c_982,plain,
( sk_c7 != sk_c7
| sP3_iProver_def != sk_c7
| sk_c7 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_856]) ).
cnf(c_1000,plain,
( multiply(identity,sk_c7) != X0
| X1 != X0
| X1 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1007,plain,
multiply(sP3_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_376,c_81]) ).
cnf(c_1008,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_382,c_81]) ).
cnf(c_1009,plain,
multiply(sP5_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_378,c_81]) ).
cnf(c_1010,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_385,c_81]) ).
cnf(c_1011,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_383,c_81]) ).
cnf(c_1016,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_386]) ).
cnf(c_1078,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_409,c_386]) ).
cnf(c_1088,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_386]) ).
cnf(c_1094,plain,
( sk_c7 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c7 ),
inference(instantiation,[status(thm)],[c_845]) ).
cnf(c_1103,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_386]) ).
cnf(c_1125,plain,
( sk_c8 = sP5_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_402]) ).
cnf(c_1129,plain,
( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_379]) ).
cnf(c_1130,plain,
( inverse(sP13_iProver_def) = sP3_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_376]) ).
cnf(c_1131,plain,
( sk_c8 = sP5_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_397]) ).
cnf(c_1169,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_1170,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1183,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_380]) ).
cnf(c_1189,plain,
( multiply(identity,sk_c7) != X0
| X1 != X0
| multiply(identity,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1190,plain,
( multiply(identity,sk_c7) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1191,plain,
( sk_c7 != X0
| identity != X1
| multiply(identity,sk_c7) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_1192,plain,
( multiply(identity,sk_c7) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_1194,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| X0 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_1201,plain,
( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_381]) ).
cnf(c_1233,plain,
( sk_c8 = sP8_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_415,c_400]) ).
cnf(c_1274,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1279,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_1305,plain,
( sk_c8 = sP9_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_406]) ).
cnf(c_1308,plain,
( sk_c8 = sP9_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_401]) ).
cnf(c_1365,plain,
( multiply(sk_c4,sP3_iProver_def) = sP8_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_381]) ).
cnf(c_1404,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_380]) ).
cnf(c_1408,plain,
( inverse(X0) != X1
| sk_c8 != X1
| sk_c8 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1414,plain,
( sk_c8 = sP5_iProver_def
| sk_c7 = sP3_iProver_def
| sP3_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_419]) ).
cnf(c_1419,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c7 = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_387]) ).
cnf(c_1465,plain,
( sk_c8 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_387]) ).
cnf(c_1631,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_381,c_391]) ).
cnf(c_1633,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_377,c_391]) ).
cnf(c_1647,plain,
( sk_c8 != sP4_iProver_def
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1633,c_383]) ).
cnf(c_1654,plain,
( sk_c8 != sP8_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1631,c_382]) ).
cnf(c_1710,plain,
( X0 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1170]) ).
cnf(c_1711,plain,
( sk_c8 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_1710]) ).
cnf(c_1733,plain,
( multiply(identity,sk_c7) != sk_c7
| multiply(identity,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_1766,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_388]) ).
cnf(c_1871,plain,
( multiply(identity,sk_c7) != multiply(identity,sk_c7)
| X0 != multiply(identity,sk_c7)
| multiply(identity,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_1873,plain,
( multiply(identity,sk_c7) != multiply(identity,sk_c7)
| sk_c8 != multiply(identity,sk_c7)
| multiply(identity,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1871]) ).
cnf(c_1877,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| multiply(identity,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_1878,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c8 != sk_c7
| multiply(identity,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1877]) ).
cnf(c_1885,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_390]) ).
cnf(c_1965,plain,
( sk_c7 != sk_c7
| identity != X0
| multiply(identity,sk_c7) = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_1191]) ).
cnf(c_1966,plain,
( sk_c7 != sk_c7
| identity != sk_c8
| multiply(identity,sk_c7) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1965]) ).
cnf(c_2033,plain,
( sk_c8 = sP8_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_415]) ).
cnf(c_2034,plain,
( sk_c8 = sP5_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_412]) ).
cnf(c_2043,plain,
( inverse(sP4_iProver_def) = sP3_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_376]) ).
cnf(c_2285,plain,
( sk_c8 = sP9_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_416]) ).
cnf(c_2287,plain,
( sk_c8 = sP5_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_412]) ).
cnf(c_2296,plain,
( inverse(sP4_iProver_def) = sP3_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_376]) ).
cnf(c_2554,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_381,c_82]) ).
cnf(c_2556,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_379,c_82]) ).
cnf(c_2557,plain,
multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_386,c_82]) ).
cnf(c_2561,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2563,plain,
multiply(sP3_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1007,c_82]) ).
cnf(c_2564,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1008,c_82]) ).
cnf(c_2565,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1009,c_82]) ).
cnf(c_2566,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1010,c_82]) ).
cnf(c_2567,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1011,c_82]) ).
cnf(c_2571,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2567,c_80]) ).
cnf(c_2572,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2566,c_80]) ).
cnf(c_2573,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2565,c_80]) ).
cnf(c_2574,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2564,c_80]) ).
cnf(c_2575,plain,
multiply(sP3_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2563,c_80]) ).
cnf(c_3267,plain,
( inverse(sk_c5) != sP5_iProver_def
| sk_c8 != sP5_iProver_def
| sk_c8 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1408]) ).
cnf(c_3298,plain,
( sP5_iProver_def = sP8_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1233,c_1131]) ).
cnf(c_3460,plain,
( sP5_iProver_def = sP9_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1305,c_1125]) ).
cnf(c_3635,plain,
( sP5_iProver_def = sP9_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1308,c_1131]) ).
cnf(c_3845,plain,
multiply(sP10_iProver_def,sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_377,c_2571]) ).
cnf(c_3855,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_3861,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c2,
inference(superposition,[status(thm)],[c_386,c_2572]) ).
cnf(c_3864,plain,
multiply(sP12_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3861,c_82]) ).
cnf(c_3866,plain,
multiply(sP5_iProver_def,sP6_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_379,c_2573]) ).
cnf(c_3878,plain,
multiply(sP9_iProver_def,sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_381,c_2574]) ).
cnf(c_3981,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP9_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_705,c_2573]) ).
cnf(c_3982,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3981,c_3866]) ).
cnf(c_4043,plain,
multiply(sP3_iProver_def,sP7_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_380,c_2575]) ).
cnf(c_4066,plain,
( multiply(sP3_iProver_def,multiply(sP10_iProver_def,X0)) = X0
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_2575]) ).
cnf(c_4067,plain,
( multiply(sP3_iProver_def,multiply(sP10_iProver_def,X0)) = X0
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_2575]) ).
cnf(c_4234,plain,
multiply(sP3_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4043,c_82]) ).
cnf(c_4292,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP8_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_706,c_2573]) ).
cnf(c_4293,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4292,c_3866]) ).
cnf(c_4304,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_2573]) ).
cnf(c_4305,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4304,c_3866]) ).
cnf(c_4378,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_393,c_719]) ).
cnf(c_4380,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4378,c_3866]) ).
cnf(c_4635,plain,
( multiply(sP3_iProver_def,multiply(sP7_iProver_def,X0)) = X0
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_4380,c_2575]) ).
cnf(c_4652,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = identity
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_4380,c_1007]) ).
cnf(c_4663,plain,
( sk_c8 = sP4_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4380,c_395]) ).
cnf(c_4677,plain,
( sk_c8 = sP4_iProver_def
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_4652,c_4043]) ).
cnf(c_4691,plain,
( multiply(sk_c6,X0) = X0
| sk_c8 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4635,c_4234]) ).
cnf(c_5167,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_5174,plain,
( inverse(X0) != X1
| sk_c7 != X2
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_5562,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_755,c_2573]) ).
cnf(c_5563,plain,
( sk_c8 = sP8_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5562,c_3866]) ).
cnf(c_5600,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_783,c_2573]) ).
cnf(c_5601,plain,
( sk_c8 = sP9_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5600,c_3866]) ).
cnf(c_5747,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP11_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4663,c_853]) ).
cnf(c_7296,plain,
( sk_c8 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_387]) ).
cnf(c_7856,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1129,c_2573]) ).
cnf(c_7857,plain,
( sk_c8 = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7856,c_3866]) ).
cnf(c_7985,plain,
( sk_c8 = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7296,c_1465,c_1654,c_1647,c_3982,c_4293,c_5563]) ).
cnf(c_8065,plain,
( multiply(sP9_iProver_def,sP8_iProver_def) = sP7_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1201,c_2574]) ).
cnf(c_8066,plain,
( sk_c8 = sP13_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8065,c_3878]) ).
cnf(c_8345,plain,
( multiply(sP9_iProver_def,sP8_iProver_def) = sP3_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1365,c_2574]) ).
cnf(c_8346,plain,
( sk_c8 = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8345,c_3878]) ).
cnf(c_9339,plain,
( sP3_iProver_def != sP7_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_640,c_387,c_1094,c_1169,c_1419]) ).
cnf(c_9341,plain,
( sP3_iProver_def != sP7_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9339,c_1654,c_1647,c_3982,c_4293,c_5601,c_7985,c_9339]) ).
cnf(c_9378,plain,
( inverse(sk_c5) != sP5_iProver_def
| X0 != sP5_iProver_def
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_3855]) ).
cnf(c_9984,plain,
multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_384,c_2557]) ).
cnf(c_10794,plain,
( sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_2034,c_2033]) ).
cnf(c_11342,plain,
( sP4_iProver_def = sP10_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10794,c_3298]) ).
cnf(c_12867,plain,
( sP4_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2287,c_2285]) ).
cnf(c_13448,plain,
( sP4_iProver_def = sP10_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_12867,c_3635]) ).
cnf(c_13832,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2561,c_80]) ).
cnf(c_13873,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_13832]) ).
cnf(c_13874,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_13832]) ).
cnf(c_14012,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2575,c_13832]) ).
cnf(c_14013,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2574,c_13832]) ).
cnf(c_14014,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2573,c_13832]) ).
cnf(c_14015,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2572,c_13832]) ).
cnf(c_14016,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2571,c_13832]) ).
cnf(c_14041,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13832,c_13832]) ).
cnf(c_14615,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13874,c_14041]) ).
cnf(c_14644,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14615,c_13873]) ).
cnf(c_14660,plain,
( multiply(identity,inverse(identity)) != sk_c8
| multiply(identity,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_14644,c_390]) ).
cnf(c_14663,plain,
( multiply(identity,sk_c7) != sk_c8
| multiply(identity,identity) != sk_c8
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14660,c_14644]) ).
cnf(c_14683,plain,
( sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1647,c_1654,c_1647,c_3982,c_4293]) ).
cnf(c_14685,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_14683,c_1654,c_5563,c_5601,c_14683]) ).
cnf(c_14690,plain,
( sk_c7 != sP3_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_387,c_14685]) ).
cnf(c_14819,plain,
multiply(sk_c8,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14012,c_81]) ).
cnf(c_14822,plain,
multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14012,c_13832]) ).
cnf(c_14823,plain,
multiply(sk_c8,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_14012,c_14615]) ).
cnf(c_14876,plain,
multiply(sk_c5,identity) = multiply(sP6_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_14819,c_2556]) ).
cnf(c_15048,plain,
( X0 != inverse(sk_c5)
| sP3_iProver_def != inverse(sk_c5)
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1170]) ).
cnf(c_15049,plain,
( sk_c8 != inverse(sk_c5)
| sP3_iProver_def != inverse(sk_c5)
| sP3_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_15048]) ).
cnf(c_15307,plain,
( inverse(X0) != X1
| sk_c7 != sk_c7
| multiply(inverse(X0),sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_5174]) ).
cnf(c_15457,plain,
inverse(sP3_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_14823,c_14615]) ).
cnf(c_15536,plain,
( inverse(sP3_iProver_def) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_14822,c_388]) ).
cnf(c_15627,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_15536,c_15457]) ).
cnf(c_15862,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_15885,plain,
( sk_c8 != sP3_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_15627]) ).
cnf(c_15926,plain,
multiply(sP6_iProver_def,sP3_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_14876,c_14615]) ).
cnf(c_15928,plain,
multiply(inverse(sP6_iProver_def),sk_c5) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_15926,c_13832]) ).
cnf(c_17169,plain,
multiply(inverse(sP6_iProver_def),multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_15928,c_82]) ).
cnf(c_17233,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14013,c_81]) ).
cnf(c_17236,plain,
multiply(sk_c4,multiply(sP9_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_14013,c_13832]) ).
cnf(c_17237,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_14013,c_14615]) ).
cnf(c_17628,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_17237,c_14615]) ).
cnf(c_17633,plain,
( sk_c8 = sP4_iProver_def
| sk_c4 = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_690,c_17628]) ).
cnf(c_17936,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_17633,c_973]) ).
cnf(c_17946,plain,
( sk_c8 = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17936,c_4043]) ).
cnf(c_18012,plain,
( sk_c8 = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17946,c_4677]) ).
cnf(c_18030,plain,
( sk_c8 = sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17946,c_393]) ).
cnf(c_18243,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP13_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_18012,c_1183]) ).
cnf(c_18944,plain,
multiply(sk_c5,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14014,c_81]) ).
cnf(c_18948,plain,
multiply(sk_c5,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_14014,c_14615]) ).
cnf(c_19000,plain,
multiply(inverse(sP6_iProver_def),identity) = multiply(sP3_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_18944,c_17169]) ).
cnf(c_19004,plain,
inverse(sP5_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_18948,c_14615]) ).
cnf(c_19508,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14015,c_81]) ).
cnf(c_19512,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_14015,c_14615]) ).
cnf(c_19519,plain,
( sk_c8 = sP9_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1103,c_19508]) ).
cnf(c_19520,plain,
( sk_c8 = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1088,c_19508]) ).
cnf(c_19521,plain,
( sk_c7 = sP7_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1078,c_19508]) ).
cnf(c_19522,plain,
( sk_c8 = sP5_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1016,c_19508]) ).
cnf(c_19706,plain,
( inverse(sP9_iProver_def) = sP3_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_19519,c_376]) ).
cnf(c_19710,plain,
( sk_c4 = sP3_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19706,c_17628]) ).
cnf(c_20259,plain,
( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_19521,c_381]) ).
cnf(c_20318,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_19512,c_14615]) ).
cnf(c_20411,plain,
( identity = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_19522,c_19520]) ).
cnf(c_20412,plain,
( identity = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_19522,c_19519]) ).
cnf(c_21013,plain,
( multiply(sP3_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3845,c_4066]) ).
cnf(c_21062,plain,
( multiply(sP3_iProver_def,sk_c7) = sP4_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3845,c_4067]) ).
cnf(c_21285,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20411,c_14644]) ).
cnf(c_21287,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20411,c_80]) ).
cnf(c_21335,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_20412,c_14644]) ).
cnf(c_21337,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_20412,c_80]) ).
cnf(c_23255,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_14016,c_81]) ).
cnf(c_23259,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_14016,c_14615]) ).
cnf(c_23293,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_23259,c_14615]) ).
cnf(c_23304,plain,
( inverse(sP4_iProver_def) = sk_c3
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_13448,c_23293]) ).
cnf(c_23306,plain,
( inverse(sP4_iProver_def) = sk_c3
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_11342,c_23293]) ).
cnf(c_25142,plain,
multiply(sP3_iProver_def,sP5_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_19000,c_14615]) ).
cnf(c_26226,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_387,c_857,c_982,c_14690]) ).
cnf(c_26667,plain,
( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_380]) ).
cnf(c_27139,plain,
( multiply(sk_c8,sP6_iProver_def) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_379,c_388]) ).
cnf(c_27165,plain,
( multiply(sk_c8,sP6_iProver_def) != sk_c7
| sk_c8 != sP5_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27139,c_378]) ).
cnf(c_30659,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_19710,c_20259]) ).
cnf(c_30668,plain,
( sk_c6 = sP8_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_30659,c_4043]) ).
cnf(c_31141,plain,
( sk_c2 = sP12_iProver_def
| identity = sP13_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_30668,c_408]) ).
cnf(c_33873,plain,
( inverse(sP4_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10794,c_21285]) ).
cnf(c_33878,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3298,c_21285]) ).
cnf(c_33888,plain,
( sk_c3 = sP10_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_33878,c_23293]) ).
cnf(c_34030,plain,
( inverse(sP4_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_12867,c_21335]) ).
cnf(c_34033,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3635,c_21335]) ).
cnf(c_34035,plain,
( inverse(sP11_iProver_def) = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3460,c_21335]) ).
cnf(c_34047,plain,
( sk_c3 = sP10_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_34033,c_23293]) ).
cnf(c_35005,plain,
( multiply(identity,X0) != X0
| sk_c8 != X0
| sk_c8 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_15862]) ).
cnf(c_35006,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_35005]) ).
cnf(c_35014,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_15862]) ).
cnf(c_35019,plain,
( multiply(sk_c1,sk_c2) != sP13_iProver_def
| sk_c8 != sP13_iProver_def
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_15862]) ).
cnf(c_36991,plain,
( sk_c3 = sP3_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_23304,c_2296]) ).
cnf(c_37073,plain,
( sP3_iProver_def = sP10_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_36991,c_34047]) ).
cnf(c_37178,plain,
( inverse(sP3_iProver_def) = sk_c3
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_37073,c_23293]) ).
cnf(c_37208,plain,
( sk_c8 = sk_c3
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_37178,c_15457]) ).
cnf(c_38221,plain,
( sk_c8 = sP3_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_37208,c_36991]) ).
cnf(c_38352,plain,
( inverse(sk_c8) != sP3_iProver_def
| sk_c7 != sk_c7
| multiply(inverse(sk_c8),sk_c7) = multiply(sP3_iProver_def,sk_c7) ),
inference(instantiation,[status(thm)],[c_15307]) ).
cnf(c_43251,plain,
( inverse(sk_c5) != sP5_iProver_def
| sP3_iProver_def != sP5_iProver_def
| sP3_iProver_def = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_9378]) ).
cnf(c_49920,plain,
( sk_c3 = sP3_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_23306,c_2043]) ).
cnf(c_51621,plain,
( sP3_iProver_def = sP10_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_49920,c_33888]) ).
cnf(c_51716,plain,
( inverse(sP3_iProver_def) = sk_c3
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_51621,c_23293]) ).
cnf(c_51744,plain,
( sk_c8 = sk_c3
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51716,c_15457]) ).
cnf(c_52554,plain,
( sk_c8 = sP3_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_51744,c_49920]) ).
cnf(c_53294,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| identity = sP13_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_31141,c_386]) ).
cnf(c_53299,plain,
( identity = sP13_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_53294,c_19508]) ).
cnf(c_57620,plain,
( sk_c3 = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_33873,c_23306]) ).
cnf(c_61620,plain,
( multiply(sP10_iProver_def,sP4_iProver_def) = identity
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_57620,c_1011]) ).
cnf(c_61625,plain,
( sk_c7 = identity
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_61620,c_3845]) ).
cnf(c_61694,plain,
( sk_c8 != identity
| ~ sP2_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_61625,c_15627]) ).
cnf(c_61717,plain,
( multiply(sk_c2,identity) = sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_61625,c_384]) ).
cnf(c_61865,plain,
( sk_c3 = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_34030,c_23304]) ).
cnf(c_66199,plain,
( multiply(sP10_iProver_def,sP4_iProver_def) = identity
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_61865,c_1011]) ).
cnf(c_66204,plain,
( sk_c7 = identity
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_66199,c_3845]) ).
cnf(c_66645,plain,
( sk_c8 != identity
| ~ sP2_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_66204,c_15627]) ).
cnf(c_66668,plain,
( multiply(sk_c2,identity) = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_66204,c_384]) ).
cnf(c_67949,plain,
( sk_c2 = sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_61717,c_14615]) ).
cnf(c_67984,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_67949,c_386]) ).
cnf(c_67988,plain,
( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_67984,c_9984]) ).
cnf(c_73320,plain,
( sk_c2 = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_66668,c_14615]) ).
cnf(c_73352,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP9_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_73320,c_411]) ).
cnf(c_73355,plain,
( sk_c8 = sP5_iProver_def
| sP5_iProver_def = sP9_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_73320,c_407]) ).
cnf(c_73356,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_73320,c_386]) ).
cnf(c_73360,plain,
( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_73356,c_9984]) ).
cnf(c_75777,plain,
( multiply(sP13_iProver_def,sP3_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_67988]) ).
cnf(c_75789,plain,
( sk_c7 = sP13_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_67988,c_21287]) ).
cnf(c_76822,plain,
( multiply(sk_c3,sP13_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_75789,c_377]) ).
cnf(c_81601,plain,
( sP5_iProver_def = sP9_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_73355,c_73352]) ).
cnf(c_83280,plain,
( sk_c7 = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_73360,c_21337]) ).
cnf(c_85949,plain,
( inverse(sP11_iProver_def) = sk_c1
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_81601,c_20318]) ).
cnf(c_86087,plain,
( multiply(sk_c3,sP13_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_83280,c_377]) ).
cnf(c_89070,plain,
( multiply(sk_c3,sP10_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3298,c_76822]) ).
cnf(c_89078,plain,
( identity = sP4_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_89070,c_23255]) ).
cnf(c_94932,plain,
( sk_c1 = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_85949,c_34035]) ).
cnf(c_94992,plain,
( multiply(sP11_iProver_def,sk_c2) = sP13_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_94932,c_386]) ).
cnf(c_95199,plain,
( multiply(sk_c3,sP10_iProver_def) = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3635,c_86087]) ).
cnf(c_95211,plain,
( identity = sP4_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_95199,c_23255]) ).
cnf(c_100723,plain,
( sk_c8 != sP5_iProver_def
| sk_c7 != sP7_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_26667,c_27165]) ).
cnf(c_104745,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104750,plain,
( multiply(inverse(X0),sk_c7) != X1
| X2 != X1
| multiply(inverse(X0),sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104751,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_104745]) ).
cnf(c_104753,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104756,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| sk_c8 = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104764,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| multiply(inverse(sk_c7),sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_104750]) ).
cnf(c_104766,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104769,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104772,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104788,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,sk_c7)
| X2 != multiply(X1,sk_c7)
| multiply(inverse(X0),sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_104750]) ).
cnf(c_104799,plain,
( multiply(inverse(X0),sk_c7) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104808,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104809,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_104766]) ).
cnf(c_104828,plain,
( multiply(X0,sk_c7) != X1
| X2 != X1
| X2 = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_104830,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,sk_c7)
| multiply(X2,X3) != multiply(X1,sk_c7)
| multiply(inverse(X0),sk_c7) = multiply(X2,X3) ),
inference(instantiation,[status(thm)],[c_104788]) ).
cnf(c_104831,plain,
( X0 != X1
| X2 != sk_c7
| multiply(X0,X2) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_104844,plain,
( multiply(inverse(X0),sk_c7) != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c7)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_104751]) ).
cnf(c_104845,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_104844]) ).
cnf(c_104850,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_104772]) ).
cnf(c_104907,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_104799]) ).
cnf(c_104936,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_104808]) ).
cnf(c_104943,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| X0 != sP4_iProver_def
| multiply(sk_c3,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_104808]) ).
cnf(c_104946,plain,
( multiply(sk_c4,sk_c7) != sP8_iProver_def
| X0 != sP8_iProver_def
| multiply(sk_c4,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_104808]) ).
cnf(c_104948,plain,
( multiply(sk_c1,sk_c2) != sP13_iProver_def
| X0 != sP13_iProver_def
| multiply(sk_c1,sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_104808]) ).
cnf(c_104957,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c8 != multiply(identity,X2)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_104809]) ).
cnf(c_104958,plain,
( multiply(sk_c8,sk_c8) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_104957]) ).
cnf(c_104959,plain,
( multiply(X0,X1) != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c7)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_104809]) ).
cnf(c_105152,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| X0 != sP4_iProver_def
| X0 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_104828]) ).
cnf(c_105153,plain,
( multiply(sk_c4,sk_c7) != sP8_iProver_def
| X0 != sP8_iProver_def
| X0 = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_104828]) ).
cnf(c_105173,plain,
( X0 != X1
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_104831]) ).
cnf(c_105181,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sP3_iProver_def,sk_c7)
| multiply(X0,X1) != multiply(sP3_iProver_def,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_104830]) ).
cnf(c_105191,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| identity != identity
| identity = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_104907]) ).
cnf(c_105381,plain,
( multiply(sk_c1,sk_c2) != sP13_iProver_def
| identity != sP13_iProver_def
| multiply(sk_c1,sk_c2) = identity ),
inference(instantiation,[status(thm)],[c_104948]) ).
cnf(c_105382,plain,
( multiply(sk_c1,sk_c2) != identity
| identity != identity
| identity = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_104850]) ).
cnf(c_105384,plain,
( multiply(inverse(sk_c7),sk_c7) != identity
| multiply(sk_c1,sk_c2) != identity
| multiply(inverse(sk_c7),sk_c7) = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_104764]) ).
cnf(c_105548,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| multiply(identity,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_104936]) ).
cnf(c_105549,plain,
( multiply(identity,sk_c7) != X0
| X1 != X0
| X1 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_104828]) ).
cnf(c_105631,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_105632,plain,
( sk_c8 != sk_c8
| sk_c8 != identity
| multiply(sk_c8,sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_105631]) ).
cnf(c_105888,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| identity != multiply(inverse(sk_c7),sk_c7)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_104753]) ).
cnf(c_106233,plain,
( multiply(identity,identity) != identity
| X0 != identity
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_104936]) ).
cnf(c_106234,plain,
( multiply(identity,identity) != identity
| sk_c8 != identity
| multiply(identity,identity) = sk_c8 ),
inference(instantiation,[status(thm)],[c_106233]) ).
cnf(c_106337,plain,
( X0 != sk_c3
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_105173]) ).
cnf(c_106338,plain,
( multiply(X0,sk_c7) != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c7)
| sk_c8 = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_104959]) ).
cnf(c_106339,plain,
( sk_c8 != sk_c3
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_106337]) ).
cnf(c_106340,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_106338]) ).
cnf(c_106937,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_107304,plain,
( multiply(sk_c4,sk_c7) != sP8_iProver_def
| sP4_iProver_def != sP8_iProver_def
| multiply(sk_c4,sk_c7) = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_104946]) ).
cnf(c_107314,plain,
( multiply(sk_c4,sk_c7) != sP8_iProver_def
| identity != sP8_iProver_def
| identity = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_105153]) ).
cnf(c_107316,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| identity != multiply(sk_c4,sk_c7)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_104753]) ).
cnf(c_107687,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sP3_iProver_def,sk_c7)
| multiply(X0,sk_c7) != multiply(sP3_iProver_def,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_105181]) ).
cnf(c_108366,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c1,sk_c2)
| sk_c8 != multiply(sk_c1,sk_c2)
| sk_c8 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_104756]) ).
cnf(c_108367,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c1,sk_c2)
| X0 != multiply(sk_c1,sk_c2)
| multiply(inverse(sk_c7),sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_104750]) ).
cnf(c_108369,plain,
( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c1,sk_c2)
| sk_c8 != multiply(sk_c1,sk_c2)
| multiply(inverse(sk_c7),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_108367]) ).
cnf(c_108391,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| sk_c7 != sP4_iProver_def
| sk_c7 = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_105152]) ).
cnf(c_108393,plain,
( X0 != multiply(sk_c3,sk_c7)
| sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_104769]) ).
cnf(c_108394,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_108393]) ).
cnf(c_108399,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| identity != sP4_iProver_def
| identity = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_105152]) ).
cnf(c_108502,plain,
( X0 != multiply(sk_c3,sk_c7)
| identity != multiply(sk_c3,sk_c7)
| identity = X0 ),
inference(instantiation,[status(thm)],[c_104772]) ).
cnf(c_108504,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| identity != multiply(sk_c3,sk_c7)
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_108502]) ).
cnf(c_109014,plain,
( multiply(identity,sk_c7) != multiply(X0,sk_c7)
| X1 != multiply(X0,sk_c7)
| X1 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_105549]) ).
cnf(c_109016,plain,
( multiply(identity,sk_c7) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_109014]) ).
cnf(c_110119,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| identity != multiply(sk_c1,sk_c2)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_104753]) ).
cnf(c_114832,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sP3_iProver_def,sk_c7)
| multiply(sk_c3,sk_c7) != multiply(sP3_iProver_def,sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(sk_c3,sk_c7) ),
inference(instantiation,[status(thm)],[c_107687]) ).
cnf(c_114833,plain,
( multiply(sk_c3,sk_c7) != sP4_iProver_def
| multiply(sP3_iProver_def,sk_c7) != sP4_iProver_def
| multiply(sk_c3,sk_c7) = multiply(sP3_iProver_def,sk_c7) ),
inference(instantiation,[status(thm)],[c_104943]) ).
cnf(c_115803,plain,
( identity != X0
| sP4_iProver_def != X0
| identity = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_106937]) ).
cnf(c_115812,plain,
( sk_c8 != sP4_iProver_def
| identity != sP4_iProver_def
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_104753]) ).
cnf(c_115817,plain,
( multiply(X0,X1) != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_104766]) ).
cnf(c_117675,plain,
sP5_iProver_def = sP9_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_94992,c_377,c_661,c_846,c_857,c_914,c_915,c_962,c_1169,c_1274,c_1711,c_1733,c_1873,c_1966,c_14663,c_26226,c_35014,c_37208,c_38221,c_66645,c_95211,c_106234,c_106339,c_106340,c_108399,c_108504,c_109016,c_115812]) ).
cnf(c_117876,plain,
multiply(sk_c4,multiply(sP5_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_17236,c_117675]) ).
cnf(c_117877,plain,
inverse(sP5_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_17628,c_117675]) ).
cnf(c_117878,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_17233,c_117675]) ).
cnf(c_117948,plain,
multiply(sP5_iProver_def,sP8_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_3878,c_117675]) ).
cnf(c_117958,plain,
multiply(sP5_iProver_def,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_1008,c_117675]) ).
cnf(c_117965,plain,
sk_c4 = sk_c5,
inference(demodulation,[status(thm)],[c_19004,c_117877]) ).
cnf(c_117987,plain,
multiply(sP6_iProver_def,sP3_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_15926,c_117965]) ).
cnf(c_123302,plain,
( multiply(sk_c4,sk_c7) != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(instantiation,[status(thm)],[c_115817]) ).
cnf(c_129350,plain,
( multiply(sP5_iProver_def,inverse(sP5_iProver_def)) != sk_c8
| multiply(sk_c4,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_117877,c_390]) ).
cnf(c_129352,plain,
( sk_c8 != identity
| sk_c8 != sP8_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_129350,c_381,c_117877,c_117958]) ).
cnf(c_129373,plain,
sP5_iProver_def = sP8_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_75777,c_377,c_650,c_846,c_857,c_914,c_915,c_962,c_1169,c_1274,c_1711,c_1733,c_1873,c_1966,c_14663,c_26226,c_35014,c_51744,c_52554,c_61694,c_89078,c_106234,c_106339,c_106340,c_108399,c_108504,c_109016,c_115812]) ).
cnf(c_129375,plain,
multiply(sP5_iProver_def,sP5_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_117948,c_129373]) ).
cnf(c_129451,plain,
( identity = sP13_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_53299,c_129373]) ).
cnf(c_129500,plain,
( sk_c8 = sP4_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_18030,c_129373]) ).
cnf(c_129502,plain,
( sk_c8 = sP4_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_17946,c_129373]) ).
cnf(c_129528,plain,
multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(demodulation,[status(thm)],[c_2554,c_129373]) ).
cnf(c_129741,plain,
multiply(sP6_iProver_def,multiply(sP3_iProver_def,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_117987,c_82]) ).
cnf(c_131663,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_14041,c_81]) ).
cnf(c_131666,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_14041,c_13832]) ).
cnf(c_131667,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_14041,c_14615]) ).
cnf(c_131668,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_131667,c_14615]) ).
cnf(c_131695,plain,
( multiply(inverse(X0),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_390,c_131663]) ).
cnf(c_131709,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_131695]) ).
cnf(c_131823,plain,
( inverse(sk_c6) = identity
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_131663,c_4691]) ).
cnf(c_131839,plain,
multiply(sk_c2,inverse(sP13_iProver_def)) = multiply(sP12_iProver_def,identity),
inference(superposition,[status(thm)],[c_131663,c_3864]) ).
cnf(c_131929,plain,
multiply(sP5_iProver_def,inverse(sk_c7)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_131663,c_129528]) ).
cnf(c_132502,plain,
multiply(sk_c4,identity) = multiply(sP6_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_14615,c_129741]) ).
cnf(c_132516,plain,
multiply(sP5_iProver_def,inverse(sk_c7)) = sk_c4,
inference(light_normalisation,[status(thm)],[c_132502,c_117987,c_131929]) ).
cnf(c_132727,plain,
multiply(sk_c4,sk_c4) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_132516,c_117876]) ).
cnf(c_132762,plain,
multiply(sk_c4,multiply(sk_c4,X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_132727,c_82]) ).
cnf(c_134651,plain,
multiply(inverse(sk_c7),sP5_iProver_def) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_117878,c_132762]) ).
cnf(c_134668,plain,
multiply(inverse(sk_c7),sP5_iProver_def) = sk_c4,
inference(light_normalisation,[status(thm)],[c_134651,c_131929,c_132516]) ).
cnf(c_134826,plain,
( multiply(inverse(sk_c7),sk_c7) != X0
| X1 != X0
| X1 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_104828]) ).
cnf(c_134827,plain,
( multiply(inverse(sk_c7),sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(inverse(sk_c7),sk_c7) ),
inference(instantiation,[status(thm)],[c_134826]) ).
cnf(c_134942,plain,
multiply(sk_c7,sk_c4) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_134668,c_131666]) ).
cnf(c_134965,plain,
( multiply(sP7_iProver_def,sk_c4) = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_134942]) ).
cnf(c_134967,plain,
( multiply(sP7_iProver_def,sk_c4) = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_134942]) ).
cnf(c_134969,plain,
( multiply(sP7_iProver_def,sk_c4) = sP5_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_134942]) ).
cnf(c_136133,plain,
( inverse(sP5_iProver_def) = identity
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_129502,c_131823]) ).
cnf(c_136155,plain,
( sk_c8 = sP4_iProver_def
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_136133,c_117877]) ).
cnf(c_136201,plain,
( sk_c8 = sP4_iProver_def
| identity = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_136155,c_17633]) ).
cnf(c_138764,plain,
multiply(sk_c2,inverse(sP13_iProver_def)) = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_131839,c_14615]) ).
cnf(c_138774,plain,
multiply(inverse(sk_c2),sP12_iProver_def) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_138764,c_13832]) ).
cnf(c_138926,plain,
( multiply(inverse(sP12_iProver_def),sP12_iProver_def) = inverse(sP13_iProver_def)
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_138774]) ).
cnf(c_138930,plain,
( inverse(sP13_iProver_def) = identity
| sk_c8 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_138926,c_19508,c_20318]) ).
cnf(c_139276,plain,
( multiply(X0,X1) != sk_c7
| multiply(identity,sk_c7) != sk_c7
| multiply(identity,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_105548]) ).
cnf(c_139279,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| multiply(identity,sk_c7) != sk_c7
| multiply(identity,sk_c7) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_139276]) ).
cnf(c_141290,plain,
( identity != sP6_iProver_def
| sP4_iProver_def != sP6_iProver_def
| identity = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_115803]) ).
cnf(c_141624,plain,
( sk_c8 = sP5_iProver_def
| identity = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_138930,c_1130]) ).
cnf(c_141664,plain,
( identity = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141624,c_136201]) ).
cnf(c_141827,plain,
( inverse(sP3_iProver_def) = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141664,c_14644]) ).
cnf(c_141829,plain,
( multiply(sP3_iProver_def,X0) = X0
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141664,c_80]) ).
cnf(c_141830,plain,
( sk_c8 = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_141827,c_15457]) ).
cnf(c_141943,plain,
( sk_c8 = identity
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141829,c_1007]) ).
cnf(c_141957,plain,
( sk_c6 = sP7_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141829,c_4043]) ).
cnf(c_142407,plain,
( ~ sP2_iProver_def
| sk_c8 = sP5_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141830,c_15885]) ).
cnf(c_142430,plain,
( sk_c8 = sP5_iProver_def
| sP3_iProver_def = sP13_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_141830,c_412]) ).
cnf(c_142989,plain,
( sk_c8 = sP5_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_142430,c_376,c_377,c_386,c_857,c_1279,c_4305,c_7857,c_8346,c_14690,c_19522,c_21062,c_35014,c_35019,c_38352,c_104845,c_105381,c_105382,c_110119,c_114832,c_114833,c_131709,c_142407]) ).
cnf(c_143027,plain,
( sP4_iProver_def = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_142989,c_129500]) ).
cnf(c_143546,plain,
( sk_c7 = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP6_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_141957,c_418]) ).
cnf(c_144314,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = sk_c8
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_143027,c_3866]) ).
cnf(c_144315,plain,
( sk_c8 = sk_c7
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_144314,c_129375]) ).
cnf(c_144587,plain,
sP4_iProver_def = sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_143546,c_846,c_858,c_857,c_915,c_1169,c_1274,c_1711,c_1878,c_14663,c_15627,c_26226,c_106234,c_141830,c_141943,c_144315]) ).
cnf(c_144642,plain,
( multiply(sP7_iProver_def,sk_c4) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_134969,c_144587]) ).
cnf(c_144644,plain,
( multiply(sP7_iProver_def,sk_c4) = sP4_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_134967,c_144587]) ).
cnf(c_144646,plain,
( multiply(sP7_iProver_def,sk_c4) = sP4_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_134965,c_144587]) ).
cnf(c_144681,plain,
( identity = sP13_iProver_def
| sP4_iProver_def = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_129451,c_144587]) ).
cnf(c_144684,plain,
multiply(sP4_iProver_def,sP4_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_129375,c_144587]) ).
cnf(c_144685,plain,
sP4_iProver_def = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_129373,c_144587]) ).
cnf(c_144687,plain,
inverse(sP4_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_117877,c_144587]) ).
cnf(c_144688,plain,
multiply(sk_c4,sP4_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_117878,c_144587]) ).
cnf(c_144705,plain,
multiply(sP3_iProver_def,sP4_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_25142,c_144587]) ).
cnf(c_144756,plain,
sk_c8 = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_392,c_144587]) ).
cnf(c_144961,plain,
multiply(sP4_iProver_def,sP3_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_14819,c_144756]) ).
cnf(c_144965,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_1404,c_144756]) ).
cnf(c_144986,plain,
inverse(sP4_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_376,c_144756]) ).
cnf(c_145174,plain,
sk_c4 = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_144687,c_144986]) ).
cnf(c_145237,plain,
inverse(sP6_iProver_def) = identity,
inference(light_normalisation,[status(thm)],[c_144688,c_144705,c_145174]) ).
cnf(c_145246,plain,
inverse(identity) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_145237,c_131668]) ).
cnf(c_145250,plain,
identity = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_14644,c_145246]) ).
cnf(c_145251,plain,
inverse(sP6_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_145237,c_145250]) ).
cnf(c_145258,plain,
multiply(X0,sP6_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_14615,c_145250]) ).
cnf(c_145411,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1766,c_84,c_428,c_386,c_857,c_914,c_915,c_968,c_1192,c_1279,c_5167,c_7857,c_8066,c_15627,c_35006,c_35019,c_100723,c_104958,c_105191,c_105381,c_105384,c_105632,c_105888,c_108369,c_115812,c_134827,c_139279,c_141290,c_144756,c_144681,c_145250]) ).
cnf(c_145413,plain,
( sk_c7 != sk_c7
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_145411,c_144684,c_144756]) ).
cnf(c_145414,plain,
~ sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_145413]) ).
cnf(c_145415,plain,
( sk_c7 != sP3_iProver_def
| sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_14690,c_145414]) ).
cnf(c_145416,plain,
( sP3_iProver_def != sP7_iProver_def
| sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_9341,c_145414]) ).
cnf(c_145452,plain,
multiply(sP4_iProver_def,sP3_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_144961,c_145250]) ).
cnf(c_145494,plain,
( sk_c8 != identity
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1885,c_376,c_377,c_857,c_21013,c_35014,c_38352,c_104845,c_114832,c_114833,c_129352,c_131709,c_144756]) ).
cnf(c_145496,plain,
( sP4_iProver_def != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_145494,c_144756,c_145250]) ).
cnf(c_145506,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_5747,c_381,c_386,c_1279,c_5167,c_18243,c_35019,c_105191,c_105381,c_105384,c_105888,c_107304,c_107314,c_107316,c_108366,c_115812,c_123302,c_141290,c_144756,c_144685,c_144681,c_144965,c_145250,c_145415,c_145494]) ).
cnf(c_145508,plain,
sP4_iProver_def = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_145506,c_145258]) ).
cnf(c_145523,plain,
( sk_c7 = sP3_iProver_def
| sk_c7 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_419,c_145508]) ).
cnf(c_145646,plain,
multiply(sP7_iProver_def,sk_c4) = sP4_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_144642,c_386,c_1279,c_35019,c_105381,c_105382,c_110119,c_115812,c_141290,c_144756,c_144681,c_144646,c_144644,c_145250,c_145415,c_145494]) ).
cnf(c_145648,plain,
sP4_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_145646,c_145174,c_145452,c_145508]) ).
cnf(c_145650,plain,
( sP4_iProver_def != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_145496,c_145648]) ).
cnf(c_145651,plain,
inverse(sP4_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_145251,c_145648]) ).
cnf(c_145655,plain,
~ sP1_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_145650]) ).
cnf(c_145660,plain,
sP3_iProver_def = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_145651,c_144986]) ).
cnf(c_145677,plain,
sP3_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_144587,c_145660]) ).
cnf(c_145684,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_145677,c_145655,c_145523,c_145415,c_145416,c_144756,c_108394,c_108391,c_43251,c_35014,c_15049,c_3267,c_1414,c_982,c_857,c_846,c_378,c_377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP231-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 07:01:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.91/3.69 % SZS status Started for theBenchmark.p
% 20.91/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 20.91/3.69
% 20.91/3.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.91/3.69
% 20.91/3.69 ------ iProver source info
% 20.91/3.69
% 20.91/3.69 git: date: 2024-06-12 09:56:46 +0000
% 20.91/3.69 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.91/3.69 git: non_committed_changes: false
% 20.91/3.69
% 20.91/3.69 ------ Parsing...successful
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.91/3.69
% 20.91/3.69 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.91/3.69
% 20.91/3.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.91/3.69 ------ Proving...
% 20.91/3.69 ------ Problem Properties
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69 clauses 48
% 20.91/3.69 conjectures 34
% 20.91/3.69 EPR 31
% 20.91/3.69 Horn 17
% 20.91/3.69 unary 14
% 20.91/3.69 binary 30
% 20.91/3.69 lits 87
% 20.91/3.69 lits eq 81
% 20.91/3.69 fd_pure 0
% 20.91/3.69 fd_pseudo 0
% 20.91/3.69 fd_cond 0
% 20.91/3.69 fd_pseudo_cond 0
% 20.91/3.69 AC symbols 0
% 20.91/3.69
% 20.91/3.69 ------ Schedule dynamic 5 is on
% 20.91/3.69
% 20.91/3.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69 ------
% 20.91/3.69 Current options:
% 20.91/3.69 ------
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69 ------ Proving...
% 20.91/3.69
% 20.91/3.69
% 20.91/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 20.91/3.69
% 20.91/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.91/3.70
% 20.91/3.70
%------------------------------------------------------------------------------