TSTP Solution File: GRP281-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP281-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:22:01 EDT 2024

% Result   : Unsatisfiable 13.85s 2.65s
% Output   : CNFRefutation 13.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( inverse(sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | multiply(X1,sk_c8) != X2
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c6) != sk_c7
    | multiply(sk_c8,X2) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c8) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

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

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

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

cnf(c_83,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,sk_c8) != sk_c7
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c6) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c8) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c7 ),
    inference(unflattening,[status(thm)],[c_79]) ).

cnf(c_376,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).

cnf(c_377,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).

cnf(c_378,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).

cnf(c_379,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_83]) ).

cnf(c_380,negated_conjecture,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c8) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).

cnf(c_381,plain,
    multiply(sk_c8,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_382,plain,
    multiply(sk_c7,sk_c8) = sP5_iProver_def,
    definition ).

cnf(c_383,plain,
    multiply(sk_c5,sk_c6) = sP6_iProver_def,
    definition ).

cnf(c_384,plain,
    inverse(sk_c2) = sP7_iProver_def,
    definition ).

cnf(c_385,plain,
    inverse(sk_c5) = sP8_iProver_def,
    definition ).

cnf(c_386,plain,
    multiply(sk_c4,sk_c7) = sP9_iProver_def,
    definition ).

cnf(c_387,plain,
    inverse(sk_c4) = sP10_iProver_def,
    definition ).

cnf(c_388,plain,
    multiply(sk_c2,sk_c8) = sP11_iProver_def,
    definition ).

cnf(c_389,plain,
    multiply(sk_c8,sk_c3) = sP12_iProver_def,
    definition ).

cnf(c_390,plain,
    inverse(sk_c1) = sP13_iProver_def,
    definition ).

cnf(c_391,plain,
    multiply(sk_c1,sk_c8) = sP14_iProver_def,
    definition ).

cnf(c_392,negated_conjecture,
    ( sP4_iProver_def != sk_c6
    | sP5_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_380,c_382,c_381]) ).

cnf(c_393,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_379]) ).

cnf(c_394,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_378]) ).

cnf(c_395,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_377]) ).

cnf(c_396,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_376]) ).

cnf(c_397,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP7_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_78,c_384,c_383]) ).

cnf(c_398,negated_conjecture,
    ( sP7_iProver_def = sk_c8
    | sP8_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_77,c_385]) ).

cnf(c_399,negated_conjecture,
    ( sP7_iProver_def = sk_c8
    | sP9_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_76,c_386]) ).

cnf(c_400,negated_conjecture,
    ( sP7_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_75,c_387]) ).

cnf(c_401,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP7_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_402,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP11_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_73,c_388]) ).

cnf(c_403,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP11_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_72]) ).

cnf(c_404,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP11_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_405,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP11_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_406,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP11_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_407,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68,c_389]) ).

cnf(c_408,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_409,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_410,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_411,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_414,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_415,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_416,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_417,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58,c_391]) ).

cnf(c_418,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_419,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_420,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_421,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_424,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP9_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_425,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_426,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP5_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_725,plain,
    ( multiply(sk_c4,sP12_iProver_def) = sP9_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_407,c_386]) ).

cnf(c_796,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_410,c_381]) ).

cnf(c_867,plain,
    ( multiply(sk_c8,sP11_iProver_def) = sP12_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_405,c_389]) ).

cnf(c_906,plain,
    multiply(sP10_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_387,c_81]) ).

cnf(c_907,plain,
    multiply(sP8_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_385,c_81]) ).

cnf(c_908,plain,
    multiply(sP13_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_390,c_81]) ).

cnf(c_909,plain,
    multiply(sP7_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_384,c_81]) ).

cnf(c_1012,plain,
    ( multiply(sk_c1,sP13_iProver_def) = sP14_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_391]) ).

cnf(c_1013,plain,
    ( multiply(sP13_iProver_def,sk_c3) = sP12_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_389]) ).

cnf(c_1016,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_381]) ).

cnf(c_1140,plain,
    ( sk_c7 = sP8_iProver_def
    | sP12_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_418,c_408]) ).

cnf(c_1258,plain,
    ( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_386]) ).

cnf(c_1259,plain,
    ( multiply(sP14_iProver_def,sk_c8) = sP5_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_382]) ).

cnf(c_1260,plain,
    ( multiply(sk_c8,sP14_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_381]) ).

cnf(c_1435,plain,
    ( multiply(sk_c5,sP4_iProver_def) = sP6_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_425,c_383]) ).

cnf(c_1789,plain,
    ( sk_c6 != sP5_iProver_def
    | sP4_iProver_def != sP5_iProver_def
    | sk_c8 = sP7_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_392]) ).

cnf(c_1876,plain,
    ( inverse(identity) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_80,c_394]) ).

cnf(c_1980,plain,
    ( inverse(sk_c1) != sk_c8
    | sk_c7 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_391,c_395]) ).

cnf(c_1982,plain,
    ( inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_80,c_395]) ).

cnf(c_1998,plain,
    ( sk_c8 != sP13_iProver_def
    | sk_c7 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1980,c_390]) ).

cnf(c_2089,plain,
    ( inverse(sk_c4) != sk_c8
    | sk_c8 != sP9_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_386,c_396]) ).

cnf(c_2108,plain,
    ( sk_c8 != sP9_iProver_def
    | sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2089,c_387]) ).

cnf(c_2373,plain,
    ( multiply(sP8_iProver_def,sk_c8) = sP5_iProver_def
    | sP12_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1140,c_382]) ).

cnf(c_2738,plain,
    multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_381,c_82]) ).

cnf(c_2739,plain,
    multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_382,c_82]) ).

cnf(c_2740,plain,
    multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
    inference(superposition,[status(thm)],[c_386,c_82]) ).

cnf(c_2742,plain,
    multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP14_iProver_def,X0),
    inference(superposition,[status(thm)],[c_391,c_82]) ).

cnf(c_2746,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_2749,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_906,c_82]) ).

cnf(c_2750,plain,
    multiply(sP8_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_907,c_82]) ).

cnf(c_2751,plain,
    multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_908,c_82]) ).

cnf(c_2752,plain,
    multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_909,c_82]) ).

cnf(c_2758,plain,
    multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2752,c_80]) ).

cnf(c_2759,plain,
    multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2751,c_80]) ).

cnf(c_2760,plain,
    multiply(sP8_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2750,c_80]) ).

cnf(c_2761,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2749,c_80]) ).

cnf(c_2863,plain,
    multiply(sP7_iProver_def,sP11_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_388,c_2758]) ).

cnf(c_2872,plain,
    multiply(sP13_iProver_def,sP14_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_391,c_2759]) ).

cnf(c_3311,plain,
    multiply(sP8_iProver_def,sP6_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_383,c_2760]) ).

cnf(c_3326,plain,
    multiply(sP10_iProver_def,sP9_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_386,c_2761]) ).

cnf(c_3392,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP12_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_725,c_2761]) ).

cnf(c_3393,plain,
    ( sk_c7 = sP6_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3392,c_3326]) ).

cnf(c_3832,plain,
    ( multiply(sP13_iProver_def,sP12_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_796]) ).

cnf(c_4194,plain,
    ( multiply(sP13_iProver_def,sP11_iProver_def) = sP12_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_867]) ).

cnf(c_5296,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_1016]) ).

cnf(c_5310,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5296,c_2872]) ).

cnf(c_6444,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP14_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1258,c_2761]) ).

cnf(c_6445,plain,
    ( sk_c8 = sP10_iProver_def
    | sk_c7 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6444,c_3326]) ).

cnf(c_6632,plain,
    ( multiply(sP8_iProver_def,sP6_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1435,c_2760]) ).

cnf(c_6633,plain,
    ( sk_c8 = sP10_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6632,c_3311]) ).

cnf(c_8512,plain,
    multiply(sk_c7,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_381,c_2739]) ).

cnf(c_8513,plain,
    multiply(sk_c7,sP12_iProver_def) = multiply(sP5_iProver_def,sk_c3),
    inference(superposition,[status(thm)],[c_389,c_2739]) ).

cnf(c_8527,plain,
    ( multiply(sk_c7,sP12_iProver_def) = multiply(sP5_iProver_def,sP11_iProver_def)
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_867,c_2739]) ).

cnf(c_8688,plain,
    ( multiply(sP5_iProver_def,sP14_iProver_def) = multiply(sP14_iProver_def,sP4_iProver_def)
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_8512]) ).

cnf(c_8862,plain,
    ( multiply(sP5_iProver_def,sk_c3) = multiply(sP14_iProver_def,sP12_iProver_def)
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_8513]) ).

cnf(c_8969,plain,
    multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c8),
    inference(superposition,[status(thm)],[c_382,c_2740]) ).

cnf(c_9164,plain,
    multiply(sP10_iProver_def,multiply(sP9_iProver_def,sk_c8)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_8969,c_2761]) ).

cnf(c_9189,plain,
    multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_381,c_2742]) ).

cnf(c_9190,plain,
    multiply(sk_c1,sP12_iProver_def) = multiply(sP14_iProver_def,sk_c3),
    inference(superposition,[status(thm)],[c_389,c_2742]) ).

cnf(c_9197,plain,
    ( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP12_iProver_def)
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_796,c_2742]) ).

cnf(c_11478,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2746,c_80]) ).

cnf(c_11483,plain,
    multiply(inverse(sk_c8),sP4_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_381,c_11478]) ).

cnf(c_11488,plain,
    multiply(inverse(sk_c8),sP12_iProver_def) = sk_c3,
    inference(superposition,[status(thm)],[c_389,c_11478]) ).

cnf(c_11490,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_11478]) ).

cnf(c_11491,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_11478]) ).

cnf(c_11492,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_82,c_11478]) ).

cnf(c_11619,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2761,c_11478]) ).

cnf(c_11620,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2760,c_11478]) ).

cnf(c_11621,plain,
    multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2759,c_11478]) ).

cnf(c_11622,plain,
    multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_2758,c_11478]) ).

cnf(c_11661,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_11478,c_11478]) ).

cnf(c_12679,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_11491,c_11661]) ).

cnf(c_12705,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_12679,c_11490]) ).

cnf(c_13107,plain,
    ( sk_c7 != sP14_iProver_def
    | ~ sP1_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_1998]) ).

cnf(c_13177,plain,
    ( ~ sP1_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_13107,c_6445,c_13107]) ).

cnf(c_13835,plain,
    ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
    | inverse(inverse(sP10_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_11619,c_393]) ).

cnf(c_13837,plain,
    multiply(sk_c4,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_11619,c_81]) ).

cnf(c_13841,plain,
    ( multiply(sk_c4,sk_c6) != sk_c7
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_11619,c_394]) ).

cnf(c_13843,plain,
    multiply(sk_c4,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_11619,c_12679]) ).

cnf(c_13908,plain,
    inverse(sP10_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_13843,c_12679]) ).

cnf(c_14177,plain,
    multiply(sk_c5,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_11620,c_81]) ).

cnf(c_14183,plain,
    multiply(sk_c5,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_11620,c_12679]) ).

cnf(c_14205,plain,
    inverse(sP8_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_14183,c_12679]) ).

cnf(c_14289,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1876,c_12705]) ).

cnf(c_14377,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1982,c_12705]) ).

cnf(c_14866,plain,
    multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP4_iProver_def)) = sk_c7,
    inference(superposition,[status(thm)],[c_381,c_11492]) ).

cnf(c_14867,plain,
    multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sP5_iProver_def)) = sk_c8,
    inference(superposition,[status(thm)],[c_382,c_11492]) ).

cnf(c_14869,plain,
    multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sk_c6,
    inference(superposition,[status(thm)],[c_383,c_11492]) ).

cnf(c_14888,plain,
    ( multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sP5_iProver_def)) = sk_c8
    | sP12_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_2373,c_11492]) ).

cnf(c_14946,plain,
    multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,identity)) = sk_c4,
    inference(superposition,[status(thm)],[c_906,c_11492]) ).

cnf(c_14973,plain,
    ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP4_iProver_def)) = sP14_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1260,c_11492]) ).

cnf(c_14977,plain,
    ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1435,c_11492]) ).

cnf(c_15022,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sk_c6)) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_3311,c_11492]) ).

cnf(c_15077,plain,
    multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_13837,c_11492]) ).

cnf(c_15079,plain,
    multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_14177,c_11492]) ).

cnf(c_15093,plain,
    multiply(inverse(multiply(X0,sk_c5)),X0) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_15079,c_12679]) ).

cnf(c_15094,plain,
    multiply(inverse(multiply(X0,sk_c4)),X0) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_15077,c_12679]) ).

cnf(c_15098,plain,
    multiply(inverse(multiply(X0,sP10_iProver_def)),X0) = sk_c4,
    inference(light_normalisation,[status(thm)],[c_14946,c_12679]) ).

cnf(c_17900,plain,
    ( multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7
    | inverse(inverse(sP13_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_11621,c_393]) ).

cnf(c_17901,plain,
    ( multiply(sk_c1,sk_c8) != sk_c7
    | inverse(inverse(sP13_iProver_def)) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_11621,c_395]) ).

cnf(c_17902,plain,
    multiply(sk_c1,sP13_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_11621,c_81]) ).

cnf(c_17910,plain,
    multiply(sk_c1,multiply(sP13_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_11621,c_11478]) ).

cnf(c_17911,plain,
    multiply(sk_c1,identity) = inverse(sP13_iProver_def),
    inference(superposition,[status(thm)],[c_11621,c_12679]) ).

cnf(c_17927,plain,
    ( inverse(inverse(sP13_iProver_def)) != sk_c8
    | sk_c7 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17901,c_391]) ).

cnf(c_17931,plain,
    ( multiply(sk_c8,sP14_iProver_def) != sk_c7
    | inverse(inverse(sP13_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17900,c_391]) ).

cnf(c_17936,plain,
    ( sk_c8 = sP10_iProver_def
    | identity = sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_1012,c_17902]) ).

cnf(c_18054,plain,
    multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = sP13_iProver_def,
    inference(superposition,[status(thm)],[c_17902,c_11492]) ).

cnf(c_18065,plain,
    multiply(inverse(multiply(X0,sk_c1)),X0) = sP13_iProver_def,
    inference(light_normalisation,[status(thm)],[c_18054,c_12679]) ).

cnf(c_18068,plain,
    inverse(sP13_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_17911,c_12679]) ).

cnf(c_20362,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sk_c3
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1013,c_17910]) ).

cnf(c_20365,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sk_c7
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1016,c_17910]) ).

cnf(c_20371,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sP12_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_3832,c_17910]) ).

cnf(c_20374,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP11_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_4194,c_17910]) ).

cnf(c_20388,plain,
    ( multiply(sP14_iProver_def,sk_c3) = sP11_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20374,c_9190]) ).

cnf(c_20397,plain,
    ( multiply(sP14_iProver_def,sk_c7) = sP12_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20371,c_9189]) ).

cnf(c_20405,plain,
    ( multiply(sP14_iProver_def,sk_c7) = sk_c7
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20365,c_9189]) ).

cnf(c_20414,plain,
    ( multiply(sP14_iProver_def,sk_c3) = sk_c3
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20362,c_9190]) ).

cnf(c_20710,plain,
    ( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7
    | inverse(inverse(sP7_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_11622,c_393]) ).

cnf(c_20712,plain,
    multiply(sk_c2,sP7_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_11622,c_81]) ).

cnf(c_20718,plain,
    ( multiply(sk_c2,sk_c7) != sk_c8
    | inverse(inverse(sP7_iProver_def)) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_11622,c_396]) ).

cnf(c_20719,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(inverse(sP7_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_11622,c_394]) ).

cnf(c_20721,plain,
    multiply(sk_c2,identity) = inverse(sP7_iProver_def),
    inference(superposition,[status(thm)],[c_11622,c_12679]) ).

cnf(c_20733,plain,
    ( multiply(sk_c8,sP11_iProver_def) != sk_c7
    | inverse(inverse(sP7_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20710,c_388]) ).

cnf(c_20928,plain,
    inverse(sP7_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_20721,c_12679]) ).

cnf(c_22338,plain,
    ( inverse(inverse(multiply(sk_c8,sk_c5))) != sk_c8
    | sk_c7 != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_15093,c_395]) ).

cnf(c_22345,plain,
    ( inverse(inverse(multiply(sk_c6,sk_c5))) != sk_c7
    | sk_c7 != sP8_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_15093,c_394]) ).

cnf(c_23324,plain,
    multiply(inverse(multiply(inverse(sP4_iProver_def),sk_c8)),identity) = sk_c7,
    inference(superposition,[status(thm)],[c_81,c_14866]) ).

cnf(c_24298,plain,
    multiply(inverse(sP8_iProver_def),inverse(multiply(sk_c4,sk_c5))) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_15093,c_15094]) ).

cnf(c_24308,plain,
    ( inverse(inverse(multiply(sk_c7,sk_c4))) != sk_c8
    | sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_15094,c_396]) ).

cnf(c_24320,plain,
    multiply(sk_c5,inverse(multiply(sk_c4,sk_c5))) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_24298,c_14205]) ).

cnf(c_29345,plain,
    inverse(multiply(inverse(sP4_iProver_def),sk_c8)) = sk_c7,
    inference(demodulation,[status(thm)],[c_23324,c_12679]) ).

cnf(c_29369,plain,
    multiply(sk_c7,multiply(inverse(sP4_iProver_def),sk_c8)) = identity,
    inference(superposition,[status(thm)],[c_29345,c_81]) ).

cnf(c_29672,plain,
    multiply(inverse(sk_c7),identity) = multiply(inverse(sP4_iProver_def),sk_c8),
    inference(superposition,[status(thm)],[c_29369,c_11478]) ).

cnf(c_29679,plain,
    multiply(sP4_iProver_def,multiply(inverse(sP4_iProver_def),sk_c8)) = multiply(sk_c8,identity),
    inference(superposition,[status(thm)],[c_29369,c_2738]) ).

cnf(c_36243,plain,
    multiply(inverse(sk_c4),inverse(multiply(sP10_iProver_def,sP10_iProver_def))) = sk_c4,
    inference(superposition,[status(thm)],[c_15098,c_15098]) ).

cnf(c_36253,plain,
    multiply(sP10_iProver_def,inverse(multiply(sP10_iProver_def,sP10_iProver_def))) = sk_c4,
    inference(light_normalisation,[status(thm)],[c_36243,c_387]) ).

cnf(c_36485,plain,
    ( inverse(inverse(multiply(sk_c7,sk_c1))) != sk_c8
    | sk_c8 != sP13_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_18065,c_396]) ).

cnf(c_37844,plain,
    multiply(inverse(multiply(inverse(sP5_iProver_def),sk_c7)),identity) = sk_c8,
    inference(superposition,[status(thm)],[c_81,c_14867]) ).

cnf(c_40405,plain,
    inverse(multiply(inverse(sP5_iProver_def),sk_c7)) = sk_c8,
    inference(demodulation,[status(thm)],[c_37844,c_12679]) ).

cnf(c_40436,plain,
    multiply(sk_c8,multiply(inverse(sP5_iProver_def),sk_c7)) = identity,
    inference(superposition,[status(thm)],[c_40405,c_81]) ).

cnf(c_40673,plain,
    multiply(inverse(sk_c8),identity) = multiply(inverse(sP5_iProver_def),sk_c7),
    inference(superposition,[status(thm)],[c_40436,c_11478]) ).

cnf(c_40680,plain,
    multiply(sP14_iProver_def,multiply(inverse(sP5_iProver_def),sk_c7)) = multiply(sk_c1,identity),
    inference(superposition,[status(thm)],[c_40436,c_2742]) ).

cnf(c_40682,plain,
    multiply(sP14_iProver_def,multiply(inverse(sP5_iProver_def),sk_c7)) = sk_c1,
    inference(light_normalisation,[status(thm)],[c_40680,c_17911,c_18068]) ).

cnf(c_43170,plain,
    inverse(multiply(sk_c4,sk_c5)) = multiply(sP8_iProver_def,sP10_iProver_def),
    inference(superposition,[status(thm)],[c_24320,c_2760]) ).

cnf(c_45221,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_43170,c_40682,c_40673,c_40405,c_37844,c_36485,c_36253,c_29679,c_29672,c_24320,c_24308,c_22345,c_22338,c_20928,c_20733,c_20719,c_20718,c_20721,c_20712,c_20414,c_20405,c_20397,c_20388,c_18068,c_17936,c_17931,c_17927,c_17902,c_15022,c_14977,c_14973,c_14888,c_14869,c_14866,c_14377,c_14289,c_14205,c_14183,c_13908,c_13841,c_13835,c_13837,c_13177,c_12705,c_11488,c_11483,c_9197,c_9189,c_9164,c_8969,c_8862,c_8688,c_8527,c_8513,c_8512,c_6633,c_5310,c_3393,c_3326,c_2872,c_2863,c_2108,c_1789,c_1259,c_907,c_906,c_867,c_426,c_425,c_424,c_421,c_419,c_418,c_417,c_416,c_414,c_411,c_409,c_406,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_384,c_383,c_382,c_381]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP281-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:41:55 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.85/2.65  % SZS status Started for theBenchmark.p
% 13.85/2.65  % SZS status Unsatisfiable for theBenchmark.p
% 13.85/2.65  
% 13.85/2.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 13.85/2.65  
% 13.85/2.65  ------  iProver source info
% 13.85/2.65  
% 13.85/2.65  git: date: 2024-05-02 19:28:25 +0000
% 13.85/2.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 13.85/2.65  git: non_committed_changes: false
% 13.85/2.65  
% 13.85/2.65  ------ Parsing...successful
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 13.85/2.65  
% 13.85/2.65  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.85/2.65  
% 13.85/2.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 13.85/2.65  ------ Proving...
% 13.85/2.65  ------ Problem Properties 
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  clauses                                 49
% 13.85/2.65  conjectures                             35
% 13.85/2.65  EPR                                     31
% 13.85/2.65  Horn                                    18
% 13.85/2.65  unary                                   14
% 13.85/2.65  binary                                  30
% 13.85/2.65  lits                                    92
% 13.85/2.65  lits eq                                 84
% 13.85/2.65  fd_pure                                 0
% 13.85/2.65  fd_pseudo                               0
% 13.85/2.65  fd_cond                                 0
% 13.85/2.65  fd_pseudo_cond                          0
% 13.85/2.65  AC symbols                              0
% 13.85/2.65  
% 13.85/2.65  ------ Schedule dynamic 5 is on 
% 13.85/2.65  
% 13.85/2.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  ------ 
% 13.85/2.65  Current options:
% 13.85/2.65  ------ 
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  ------ Proving...
% 13.85/2.65  
% 13.85/2.65  
% 13.85/2.65  % SZS status Unsatisfiable for theBenchmark.p
% 13.85/2.65  
% 13.85/2.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.85/2.65  
% 13.85/2.65  
%------------------------------------------------------------------------------