TSTP Solution File: GRP212-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:21:45 EDT 2024

% Result   : Unsatisfiable 10.12s 2.17s
% Output   : CNFRefutation 10.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c8,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_67,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,X1) != sk_c8
    | multiply(X1,sk_c7) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c8) != X5
    | multiply(sk_c8,X5) != sk_c7
    | inverse(X0) != X1
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_81,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_82,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,inverse(X1)) != sk_c8
    | multiply(inverse(X1),sk_c7) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(unflattening,[status(thm)],[c_79]) ).

cnf(c_372,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).

cnf(c_373,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).

cnf(c_374,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).

cnf(c_375,negated_conjecture,
    ( inverse(sk_c8) != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).

cnf(c_376,plain,
    inverse(sk_c8) = sP3_iProver_def,
    definition ).

cnf(c_377,plain,
    multiply(sk_c3,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_378,plain,
    inverse(sk_c5) = sP5_iProver_def,
    definition ).

cnf(c_379,plain,
    multiply(sk_c5,sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_380,plain,
    multiply(sk_c8,sk_c6) = sP7_iProver_def,
    definition ).

cnf(c_381,plain,
    multiply(sk_c4,sk_c7) = sP8_iProver_def,
    definition ).

cnf(c_382,plain,
    inverse(sk_c4) = sP9_iProver_def,
    definition ).

cnf(c_383,plain,
    inverse(sk_c3) = sP10_iProver_def,
    definition ).

cnf(c_384,plain,
    multiply(sk_c2,sk_c7) = sP11_iProver_def,
    definition ).

cnf(c_385,plain,
    inverse(sk_c1) = sP12_iProver_def,
    definition ).

cnf(c_386,plain,
    multiply(sk_c1,sk_c2) = sP13_iProver_def,
    definition ).

cnf(c_387,negated_conjecture,
    ( sP3_iProver_def != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_375,c_376]) ).

cnf(c_388,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_374]) ).

cnf(c_390,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_373]) ).

cnf(c_391,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_372]) ).

cnf(c_392,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP5_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_78,c_378,c_377]) ).

cnf(c_393,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_77,c_379]) ).

cnf(c_394,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_76,c_380]) ).

cnf(c_395,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_75,c_381]) ).

cnf(c_396,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP9_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_74,c_382]) ).

cnf(c_397,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP4_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_400,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_401,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_402,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_403,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_405,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_410,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_60,c_385]) ).

cnf(c_411,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_412,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_414,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_415,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_416,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_54,c_386]) ).

cnf(c_417,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_418,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_419,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_420,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_421,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_757,plain,
    ( sP3_iProver_def != sP7_iProver_def
    | sk_c8 = sP10_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_400,c_387]) ).

cnf(c_775,plain,
    ( multiply(sP10_iProver_def,sk_c6) = sP7_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_380]) ).

cnf(c_776,plain,
    ( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_379]) ).

cnf(c_804,plain,
    ( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_402,c_379]) ).

cnf(c_830,plain,
    ( sk_c8 = sP10_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_400]) ).

cnf(c_900,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_405,c_380]) ).

cnf(c_983,plain,
    multiply(sP3_iProver_def,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_376,c_81]) ).

cnf(c_984,plain,
    multiply(sP9_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_382,c_81]) ).

cnf(c_985,plain,
    multiply(sP5_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_378,c_81]) ).

cnf(c_986,plain,
    multiply(sP12_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_385,c_81]) ).

cnf(c_987,plain,
    multiply(sP10_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_383,c_81]) ).

cnf(c_1146,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_410,c_386]) ).

cnf(c_1156,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c2 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_411,c_380]) ).

cnf(c_1163,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_412,c_386]) ).

cnf(c_1183,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_414,c_386]) ).

cnf(c_1222,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_386]) ).

cnf(c_1565,plain,
    ( inverse(sk_c4) != sk_c8
    | sk_c8 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_381,c_391]) ).

cnf(c_1567,plain,
    ( inverse(sk_c3) != sk_c8
    | sk_c8 != sP4_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_377,c_391]) ).

cnf(c_1581,plain,
    ( sk_c8 != sP4_iProver_def
    | sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1567,c_383]) ).

cnf(c_1588,plain,
    ( sk_c8 != sP8_iProver_def
    | sk_c8 != sP9_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1565,c_382]) ).

cnf(c_2484,plain,
    multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_386,c_82]) ).

cnf(c_2491,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_2493,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_983,c_82]) ).

cnf(c_2494,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_984,c_82]) ).

cnf(c_2495,plain,
    multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_985,c_82]) ).

cnf(c_2496,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_986,c_82]) ).

cnf(c_2497,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_987,c_82]) ).

cnf(c_2501,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2497,c_80]) ).

cnf(c_2502,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2496,c_80]) ).

cnf(c_2503,plain,
    multiply(sP5_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2495,c_80]) ).

cnf(c_2504,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2494,c_80]) ).

cnf(c_2505,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2493,c_80]) ).

cnf(c_4447,plain,
    multiply(sP10_iProver_def,sP4_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_377,c_2501]) ).

cnf(c_4496,plain,
    multiply(sP5_iProver_def,sP6_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_379,c_2503]) ).

cnf(c_4673,plain,
    multiply(sP3_iProver_def,sP7_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_380,c_2505]) ).

cnf(c_5616,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_776,c_2503]) ).

cnf(c_5617,plain,
    ( sk_c8 = sP8_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5616,c_4496]) ).

cnf(c_6612,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_804,c_2503]) ).

cnf(c_6613,plain,
    ( sk_c8 = sP9_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6612,c_4496]) ).

cnf(c_10261,plain,
    ( sk_c8 = sP10_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_757,c_757,c_830,c_1588,c_5617,c_6613]) ).

cnf(c_10790,plain,
    multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_384,c_2484]) ).

cnf(c_15597,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2491,c_80]) ).

cnf(c_15640,plain,
    multiply(inverse(sk_c2),sP11_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_384,c_15597]) ).

cnf(c_15642,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_15597]) ).

cnf(c_15643,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_15597]) ).

cnf(c_15670,plain,
    ( multiply(inverse(sP10_iProver_def),sP7_iProver_def) = sk_c6
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_775,c_15597]) ).

cnf(c_15775,plain,
    multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2505,c_15597]) ).

cnf(c_15776,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2504,c_15597]) ).

cnf(c_15777,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2503,c_15597]) ).

cnf(c_15778,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2502,c_15597]) ).

cnf(c_15779,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2501,c_15597]) ).

cnf(c_15789,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_15597,c_15597]) ).

cnf(c_16350,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_15643,c_15789]) ).

cnf(c_16369,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_16350,c_15642]) ).

cnf(c_16945,plain,
    multiply(sk_c8,sP3_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15775,c_81]) ).

cnf(c_16949,plain,
    multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_15775,c_15597]) ).

cnf(c_16950,plain,
    multiply(sk_c8,identity) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_15775,c_16350]) ).

cnf(c_17391,plain,
    inverse(sP3_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_16950,c_16350]) ).

cnf(c_17928,plain,
    ( inverse(sP3_iProver_def) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_16949,c_388]) ).

cnf(c_18010,plain,
    ( sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17928,c_17391]) ).

cnf(c_20879,plain,
    multiply(sk_c4,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15776,c_81]) ).

cnf(c_20881,plain,
    ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
    | inverse(inverse(sP9_iProver_def)) != sk_c8
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_15776,c_388]) ).

cnf(c_20882,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | inverse(inverse(sP9_iProver_def)) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_15776,c_391]) ).

cnf(c_20884,plain,
    multiply(sk_c4,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_15776,c_16350]) ).

cnf(c_20893,plain,
    ( inverse(inverse(sP9_iProver_def)) != sk_c8
    | sk_c8 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20882,c_381]) ).

cnf(c_20917,plain,
    inverse(sP9_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_20884,c_16350]) ).

cnf(c_20930,plain,
    ( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
    | multiply(sk_c4,sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_20917,c_390]) ).

cnf(c_20932,plain,
    ( sk_c8 != identity
    | sk_c8 != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20930,c_381,c_984,c_20917]) ).

cnf(c_21355,plain,
    multiply(sk_c5,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15777,c_81]) ).

cnf(c_22176,plain,
    multiply(sk_c1,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15778,c_81]) ).

cnf(c_22181,plain,
    multiply(sk_c1,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_15778,c_16350]) ).

cnf(c_22191,plain,
    ( sk_c7 = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1222,c_22176]) ).

cnf(c_22192,plain,
    ( sk_c8 = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1183,c_22176]) ).

cnf(c_22194,plain,
    ( sk_c7 = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1163,c_22176]) ).

cnf(c_22195,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1146,c_22176]) ).

cnf(c_22228,plain,
    inverse(sP12_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_22181,c_16350]) ).

cnf(c_22480,plain,
    ( inverse(sP9_iProver_def) = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22192,c_376]) ).

cnf(c_22484,plain,
    ( sk_c4 = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_22480,c_20917]) ).

cnf(c_23130,plain,
    ( identity = sP13_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_22194,c_22191]) ).

cnf(c_23156,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22194,c_381]) ).

cnf(c_23408,plain,
    ( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22195,c_379]) ).

cnf(c_23420,plain,
    ( identity = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23408,c_21355]) ).

cnf(c_23829,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_23420,c_16369]) ).

cnf(c_24003,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_23130,c_16369]) ).

cnf(c_24946,plain,
    multiply(sk_c3,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15779,c_81]) ).

cnf(c_24951,plain,
    multiply(sk_c3,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_15779,c_16350]) ).

cnf(c_25210,plain,
    inverse(sP10_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_24951,c_16350]) ).

cnf(c_25223,plain,
    ( multiply(sP10_iProver_def,inverse(sP10_iProver_def)) != sk_c8
    | multiply(sk_c3,sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_25210,c_390]) ).

cnf(c_25233,plain,
    ( sk_c8 != identity
    | sk_c8 != sP4_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25223,c_377,c_987,c_25210]) ).

cnf(c_29951,plain,
    ( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22484,c_23156]) ).

cnf(c_29960,plain,
    ( sk_c6 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_29951,c_4673]) ).

cnf(c_33431,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_29960,c_25233,c_25210,c_24951,c_24946,c_24003,c_23829,c_22228,c_22176,c_21355,c_20932,c_20917,c_20893,c_20881,c_20879,c_18010,c_17391,c_16950,c_16945,c_15670,c_15640,c_10790,c_10261,c_4673,c_4496,c_4447,c_1581,c_1156,c_983,c_900,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_412,c_403,c_400,c_397,c_396,c_395,c_394,c_393,c_392,c_387,c_386,c_382,c_381,c_380,c_379,c_377,c_376]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 23:49:41 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.12/2.17  % SZS status Started for theBenchmark.p
% 10.12/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.17  
% 10.12/2.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.12/2.17  
% 10.12/2.17  ------  iProver source info
% 10.12/2.17  
% 10.12/2.17  git: date: 2024-05-02 19:28:25 +0000
% 10.12/2.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.12/2.17  git: non_committed_changes: false
% 10.12/2.17  
% 10.12/2.17  ------ Parsing...successful
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.12/2.17  
% 10.12/2.17  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.12/2.17  
% 10.12/2.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.12/2.17  ------ Proving...
% 10.12/2.17  ------ Problem Properties 
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  clauses                                 48
% 10.12/2.17  conjectures                             34
% 10.12/2.17  EPR                                     31
% 10.12/2.17  Horn                                    17
% 10.12/2.17  unary                                   14
% 10.12/2.17  binary                                  30
% 10.12/2.17  lits                                    87
% 10.12/2.17  lits eq                                 81
% 10.12/2.17  fd_pure                                 0
% 10.12/2.17  fd_pseudo                               0
% 10.12/2.17  fd_cond                                 0
% 10.12/2.17  fd_pseudo_cond                          0
% 10.12/2.17  AC symbols                              0
% 10.12/2.17  
% 10.12/2.17  ------ Schedule dynamic 5 is on 
% 10.12/2.17  
% 10.12/2.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  ------ 
% 10.12/2.17  Current options:
% 10.12/2.17  ------ 
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  ------ Proving...
% 10.12/2.17  
% 10.12/2.17  
% 10.12/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 10.12/2.17  
% 10.12/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.12/2.17  
% 10.12/2.17  
%------------------------------------------------------------------------------