TSTP Solution File: GRP231-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 02:21:49 EDT 2024

% Result   : Unsatisfiable 35.85s 5.76s
% Output   : CNFRefutation 35.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/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,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,
    ( sP5_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_73,c_383]) ).

cnf(c_398,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_72]) ).

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_405,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_65]) ).

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_422,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_423,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_424,plain,
    ( X0 != X1
    | inverse(X0) = inverse(X1) ),
    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_650,plain,
    ( sk_c8 = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_392,c_395]) ).

cnf(c_660,plain,
    ( sk_c8 = sP4_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_396,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_701,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP4_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_394,c_377]) ).

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_818,plain,
    ( sk_c8 = sP5_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_402,c_397]) ).

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_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_884,plain,
    ( sk_c8 = sP8_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_405,c_400]) ).

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_918,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != sk_c8
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_917]) ).

cnf(c_922,plain,
    ( X0 != sP7_iProver_def
    | sk_c7 != sP7_iProver_def
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_848]) ).

cnf(c_923,plain,
    ( sk_c8 != sP7_iProver_def
    | sk_c7 != sP7_iProver_def
    | sk_c7 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_922]) ).

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_967,plain,
    ( X0 != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_917]) ).

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_1002,plain,
    ( multiply(X0,X1) != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | sk_c7 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_961]) ).

cnf(c_1003,plain,
    ( X0 != identity
    | X1 != sk_c7
    | multiply(X0,X1) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_425]) ).

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_1048,plain,
    ( multiply(sP3_iProver_def,sP5_iProver_def) = identity
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_392,c_1007]) ).

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_1095,plain,
    ( X0 != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_917]) ).

cnf(c_1096,plain,
    ( X0 != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_848]) ).

cnf(c_1097,plain,
    ( sk_c8 != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | sk_c7 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1096]) ).

cnf(c_1098,plain,
    ( sk_c8 != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1095]) ).

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_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_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_1230,plain,
    ( sk_c8 = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_405]) ).

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_1235,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_379]) ).

cnf(c_1273,plain,
    ( multiply(identity,identity) != identity
    | X0 != sk_c7
    | multiply(multiply(identity,identity),X0) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1003]) ).

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_1281,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_423]) ).

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_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_1417,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_419,c_381]) ).

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_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_2102,plain,
    ( multiply(identity,identity) != identity
    | sP3_iProver_def != sk_c7
    | multiply(multiply(identity,identity),sP3_iProver_def) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1273]) ).

cnf(c_2159,plain,
    ( sk_c8 = sP9_iProver_def
    | sP4_iProver_def = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_660,c_416]) ).

cnf(c_2160,plain,
    ( sk_c8 = sP8_iProver_def
    | sP4_iProver_def = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_660,c_415]) ).

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_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_2559,plain,
    multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_377,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_2641,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_884,c_818]) ).

cnf(c_3174,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1230,c_1125]) ).

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_3633,plain,
    ( sP8_iProver_def = sP9_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1308,c_1233]) ).

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_3778,plain,
    ( X0 != X1
    | sP7_iProver_def != X1
    | sP7_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_423]) ).

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_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_3957,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = sP7_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_701,c_2571]) ).

cnf(c_3958,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3957,c_3845]) ).

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_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_4506,plain,
    ( inverse(sk_c8) != sP3_iProver_def
    | sP3_iProver_def != sP3_iProver_def
    | sP3_iProver_def = inverse(sk_c8) ),
    inference(instantiation,[status(thm)],[c_1710]) ).

cnf(c_4654,plain,
    ( multiply(sP3_iProver_def,sP7_iProver_def) = identity
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4380,c_1007]) ).

cnf(c_4662,plain,
    ( inverse(sP7_iProver_def) = sP3_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4380,c_376]) ).

cnf(c_4679,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_4654,c_4043]) ).

cnf(c_5169,plain,
    multiply(inverse(sk_c7),sk_c7) = identity,
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_5176,plain,
    ( inverse(X0) != X1
    | sk_c7 != X2
    | multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
    inference(instantiation,[status(thm)],[c_425]) ).

cnf(c_5506,plain,
    ( multiply(multiply(identity,identity),sP3_iProver_def) != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | multiply(multiply(identity,identity),sP3_iProver_def) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_967]) ).

cnf(c_5508,plain,
    ( multiply(multiply(identity,identity),sP3_iProver_def) != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | sk_c7 = multiply(multiply(identity,identity),sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1002]) ).

cnf(c_5563,plain,
    ( multiply(sk_c5,multiply(sP10_iProver_def,X0)) = multiply(sP6_iProver_def,X0)
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_755,c_82]) ).

cnf(c_5564,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_5565,plain,
    ( sk_c8 = sP8_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5564,c_3866]) ).

cnf(c_5602,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_5603,plain,
    ( sk_c8 = sP9_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5602,c_3866]) ).

cnf(c_6764,plain,
    ( sk_c8 = sP4_iProver_def
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_4679,c_393]) ).

cnf(c_7004,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP6_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_6764,c_412]) ).

cnf(c_7014,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP6_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_6764,c_397]) ).

cnf(c_7307,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_7999,plain,
    ( sk_c8 = sP8_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7307,c_1465,c_1647,c_4293,c_5565]) ).

cnf(c_8267,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1235,c_2573]) ).

cnf(c_8268,plain,
    ( sk_c8 = sP8_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8267,c_3866]) ).

cnf(c_8697,plain,
    ( multiply(sP9_iProver_def,sP8_iProver_def) = sP7_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_1417,c_2574]) ).

cnf(c_8698,plain,
    ( sk_c7 = sP3_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8697,c_3878]) ).

cnf(c_9396,plain,
    ( inverse(sk_c5) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | X0 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3855]) ).

cnf(c_9736,plain,
    multiply(sk_c5,sP7_iProver_def) = multiply(sP6_iProver_def,sk_c6),
    inference(superposition,[status(thm)],[c_380,c_2556]) ).

cnf(c_10015,plain,
    multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_384,c_2557]) ).

cnf(c_10849,plain,
    ( sP4_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_2034,c_2033]) ).

cnf(c_11397,plain,
    ( sP4_iProver_def = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_10849,c_3298]) ).

cnf(c_11402,plain,
    ( multiply(sP12_iProver_def,sP4_iProver_def) = sk_c2
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_10849,c_3861]) ).

cnf(c_11863,plain,
    ( sP4_iProver_def = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_2160,c_2159]) ).

cnf(c_12031,plain,
    ( X0 != inverse(sk_c8)
    | sP3_iProver_def != inverse(sk_c8)
    | sP3_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_1170]) ).

cnf(c_12032,plain,
    ( sk_c8 != inverse(sk_c8)
    | sP3_iProver_def != inverse(sk_c8)
    | sP3_iProver_def = sk_c8 ),
    inference(instantiation,[status(thm)],[c_12031]) ).

cnf(c_12055,plain,
    ( sP4_iProver_def = sP10_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_11863,c_3633]) ).

cnf(c_12920,plain,
    ( sP4_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_2287,c_2285]) ).

cnf(c_13501,plain,
    ( sP4_iProver_def = sP10_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12920,c_3635]) ).

cnf(c_13887,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2561,c_80]) ).

cnf(c_13928,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_13887]) ).

cnf(c_13929,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_13887]) ).

cnf(c_13989,plain,
    multiply(inverse(sP9_iProver_def),identity) = sk_c4,
    inference(superposition,[status(thm)],[c_1008,c_13887]) ).

cnf(c_14067,plain,
    multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2575,c_13887]) ).

cnf(c_14068,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2574,c_13887]) ).

cnf(c_14069,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2573,c_13887]) ).

cnf(c_14070,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2572,c_13887]) ).

cnf(c_14071,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2571,c_13887]) ).

cnf(c_14096,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_13887,c_13887]) ).

cnf(c_14612,plain,
    ( X0 != multiply(multiply(identity,identity),sP3_iProver_def)
    | sk_c7 != multiply(multiply(identity,identity),sP3_iProver_def)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_848]) ).

cnf(c_14710,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_13929,c_14096]) ).

cnf(c_14739,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_14710,c_13928]) ).

cnf(c_14814,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_14816,plain,
    ~ sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_14814,c_1654,c_5565,c_5603,c_14814]) ).

cnf(c_14821,plain,
    ( sk_c7 != sP3_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_387,c_14816]) ).

cnf(c_14958,plain,
    multiply(sk_c8,sP3_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14067,c_81]) ).

cnf(c_14961,plain,
    multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_14067,c_13887]) ).

cnf(c_14962,plain,
    multiply(sk_c8,identity) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_14067,c_14710]) ).

cnf(c_15010,plain,
    ( multiply(sP9_iProver_def,sP3_iProver_def) = identity
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_396,c_14958]) ).

cnf(c_15015,plain,
    multiply(sk_c5,identity) = multiply(sP6_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_14958,c_2556]) ).

cnf(c_15345,plain,
    ( inverse(X0) != X1
    | sk_c7 != sk_c7
    | multiply(inverse(X0),sk_c7) = multiply(X1,sk_c7) ),
    inference(instantiation,[status(thm)],[c_5176]) ).

cnf(c_15481,plain,
    ( multiply(inverse(sP9_iProver_def),identity) = sP3_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_15010,c_13887]) ).

cnf(c_15483,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c4 = sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15481,c_13989]) ).

cnf(c_15522,plain,
    inverse(sP3_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_14962,c_14710]) ).

cnf(c_15601,plain,
    ( inverse(sP3_iProver_def) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_14961,c_388]) ).

cnf(c_15665,plain,
    ( sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15601,c_15522]) ).

cnf(c_15698,plain,
    ( X0 != sk_c7
    | sP7_iProver_def != sk_c7
    | sP7_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3778]) ).

cnf(c_15751,plain,
    ( sk_c8 != sP3_iProver_def
    | ~ sP2_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_417,c_15665]) ).

cnf(c_15755,plain,
    ( sk_c8 != sP7_iProver_def
    | ~ sP2_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_394,c_15665]) ).

cnf(c_15909,plain,
    multiply(sP6_iProver_def,sP3_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_15015,c_14710]) ).

cnf(c_15911,plain,
    multiply(inverse(sP6_iProver_def),sk_c5) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_15909,c_13887]) ).

cnf(c_16055,plain,
    ( multiply(X0,X1) != X2
    | sk_c8 != X2
    | sk_c8 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_17118,plain,
    multiply(inverse(sP6_iProver_def),multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_15911,c_82]) ).

cnf(c_17649,plain,
    ( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_15483,c_973]) ).

cnf(c_17659,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17649,c_4043]) ).

cnf(c_17797,plain,
    ( sk_c8 = sP4_iProver_def
    | identity = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_17659,c_4679]) ).

cnf(c_18525,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_17797,c_1183]) ).

cnf(c_18730,plain,
    multiply(sk_c4,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14068,c_81]) ).

cnf(c_18734,plain,
    multiply(sk_c4,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_14068,c_14710]) ).

cnf(c_18778,plain,
    inverse(sP9_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_18734,c_14710]) ).

cnf(c_19387,plain,
    multiply(sk_c5,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14069,c_81]) ).

cnf(c_19391,plain,
    multiply(sk_c5,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_14069,c_14710]) ).

cnf(c_19427,plain,
    multiply(inverse(sP6_iProver_def),identity) = multiply(sP3_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_19387,c_17118]) ).

cnf(c_19431,plain,
    inverse(sP5_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_19391,c_14710]) ).

cnf(c_19941,plain,
    multiply(sk_c1,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14070,c_81]) ).

cnf(c_19945,plain,
    multiply(sk_c1,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_14070,c_14710]) ).

cnf(c_19952,plain,
    ( sk_c8 = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1103,c_19941]) ).

cnf(c_19953,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1088,c_19941]) ).

cnf(c_19954,plain,
    ( sk_c7 = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1078,c_19941]) ).

cnf(c_19955,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1016,c_19941]) ).

cnf(c_20414,plain,
    ( inverse(sP9_iProver_def) = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_19952,c_376]) ).

cnf(c_20418,plain,
    ( sk_c4 = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20414,c_18778]) ).

cnf(c_20680,plain,
    ( identity = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_19953,c_19952]) ).

cnf(c_20963,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_19954,c_381]) ).

cnf(c_21025,plain,
    inverse(sP12_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_19945,c_14710]) ).

cnf(c_21139,plain,
    ( identity = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_19955,c_19953]) ).

cnf(c_21140,plain,
    ( identity = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_19955,c_19952]) ).

cnf(c_22670,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_20680,c_14739]) ).

cnf(c_22691,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_21139,c_14739]) ).

cnf(c_22693,plain,
    ( multiply(sP13_iProver_def,X0) = X0
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_21139,c_80]) ).

cnf(c_22721,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_21140,c_14739]) ).

cnf(c_22723,plain,
    ( multiply(sP13_iProver_def,X0) = X0
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_21140,c_80]) ).

cnf(c_24871,plain,
    multiply(sk_c3,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14071,c_81]) ).

cnf(c_24875,plain,
    multiply(sk_c3,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_14071,c_14710]) ).

cnf(c_24912,plain,
    inverse(sP10_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_24875,c_14710]) ).

cnf(c_24917,plain,
    ( inverse(sP4_iProver_def) = sk_c3
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_13501,c_24912]) ).

cnf(c_24918,plain,
    ( inverse(sP4_iProver_def) = sk_c3
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12055,c_24912]) ).

cnf(c_24919,plain,
    ( inverse(sP4_iProver_def) = sk_c3
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_11397,c_24912]) ).

cnf(c_24921,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_24912,c_390]) ).

cnf(c_24929,plain,
    ( sk_c8 != identity
    | sk_c8 != sP4_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_24921,c_377,c_1011,c_24912]) ).

cnf(c_26396,plain,
    ( inverse(sk_c5) != sP5_iProver_def
    | identity != sP5_iProver_def
    | identity = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_9396]) ).

cnf(c_26399,plain,
    ( X0 != inverse(sk_c5)
    | identity != inverse(sk_c5)
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_1281]) ).

cnf(c_26400,plain,
    ( sk_c8 != inverse(sk_c5)
    | identity != inverse(sk_c5)
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_26399]) ).

cnf(c_27434,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_27656,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_27682,plain,
    ( multiply(sk_c8,sP6_iProver_def) != sk_c7
    | sk_c8 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27656,c_378]) ).

cnf(c_30100,plain,
    ( multiply(sP3_iProver_def,sP7_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_20418,c_20963]) ).

cnf(c_30109,plain,
    ( sk_c6 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_30100,c_4043]) ).

cnf(c_30227,plain,
    ( sk_c2 = sP12_iProver_def
    | identity = sP13_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_30109,c_408]) ).

cnf(c_30315,plain,
    multiply(sP3_iProver_def,sP5_iProver_def) = inverse(sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_19427,c_14710]) ).

cnf(c_30319,plain,
    ( inverse(sP6_iProver_def) = identity
    | sk_c8 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_1048,c_30315]) ).

cnf(c_30330,plain,
    multiply(sk_c8,inverse(sP6_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_30315,c_14961]) ).

cnf(c_30396,plain,
    multiply(sP6_iProver_def,inverse(sP6_iProver_def)) = multiply(sk_c5,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_30330,c_2556]) ).

cnf(c_30399,plain,
    multiply(sP6_iProver_def,inverse(sP6_iProver_def)) = identity,
    inference(light_normalisation,[status(thm)],[c_30396,c_19387]) ).

cnf(c_33669,plain,
    ( inverse(sP4_iProver_def) = sP4_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_11863,c_22670]) ).

cnf(c_33863,plain,
    ( inverse(sP4_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_10849,c_22691]) ).

cnf(c_33868,plain,
    ( inverse(sP10_iProver_def) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_3298,c_22691]) ).

cnf(c_33869,plain,
    ( inverse(sP11_iProver_def) = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_3174,c_22691]) ).

cnf(c_33878,plain,
    ( sk_c3 = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33868,c_24912]) ).

cnf(c_35481,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_16055]) ).

cnf(c_35484,plain,
    ( multiply(sk_c4,sk_c7) != sP8_iProver_def
    | sk_c8 != sP8_iProver_def
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_16055]) ).

cnf(c_35486,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_16055]) ).

cnf(c_36535,plain,
    ( inverse(sP4_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12920,c_22721]) ).

cnf(c_36538,plain,
    ( inverse(sP10_iProver_def) = sP10_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_3635,c_22721]) ).

cnf(c_36552,plain,
    ( sk_c3 = sP10_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_36538,c_24912]) ).

cnf(c_36679,plain,
    ( sk_c3 = sP3_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_24917,c_2296]) ).

cnf(c_36714,plain,
    ( sP3_iProver_def = sP10_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_36679,c_36552]) ).

cnf(c_38116,plain,
    ( inverse(sP3_iProver_def) = sk_c3
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_36714,c_24912]) ).

cnf(c_38146,plain,
    ( sk_c8 = sk_c3
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_38116,c_15522]) ).

cnf(c_38698,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_15345]) ).

cnf(c_38908,plain,
    ( sk_c8 = sP3_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_38146,c_36679]) ).

cnf(c_39854,plain,
    ( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
    | identity = sP6_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_7004,c_379]) ).

cnf(c_39866,plain,
    ( identity = sP6_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_39854,c_19387]) ).

cnf(c_40746,plain,
    ( multiply(sP6_iProver_def,X0) = X0
    | sP4_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_39866,c_80]) ).

cnf(c_42577,plain,
    ( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
    | identity = sP6_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_7014,c_379]) ).

cnf(c_42589,plain,
    ( identity = sP6_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_42577,c_19387]) ).

cnf(c_42653,plain,
    ( multiply(sP6_iProver_def,X0) = X0
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_42589,c_80]) ).

cnf(c_45282,plain,
    ( sk_c5 = sP3_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_42653,c_15909]) ).

cnf(c_48320,plain,
    ( inverse(sP3_iProver_def) = sP5_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_45282,c_378]) ).

cnf(c_48321,plain,
    ( sk_c8 = sP5_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_48320,c_15522]) ).

cnf(c_49166,plain,
    ( multiply(sP5_iProver_def,sk_c6) = sP7_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_48321,c_380]) ).

cnf(c_51795,plain,
    ( sk_c3 = sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_24919,c_2043]) ).

cnf(c_51824,plain,
    ( sP3_iProver_def = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_51795,c_33878]) ).

cnf(c_51940,plain,
    ( inverse(sP3_iProver_def) = sk_c3
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_51824,c_24912]) ).

cnf(c_51968,plain,
    ( sk_c8 = sk_c3
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_51940,c_15522]) ).

cnf(c_53661,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_30227,c_386]) ).

cnf(c_53666,plain,
    ( identity = sP13_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_53661,c_19941]) ).

cnf(c_53690,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_53666,c_14739]) ).

cnf(c_53874,plain,
    ( sk_c8 = sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_51968,c_51795]) ).

cnf(c_54135,plain,
    ( sk_c8 = sP8_iProver_def
    | sP3_iProver_def = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_53874,c_405]) ).

cnf(c_54136,plain,
    ( sk_c8 = sP5_iProver_def
    | sP3_iProver_def = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_53874,c_402]) ).

cnf(c_55855,plain,
    ( multiply(sP6_iProver_def,inverse(sP6_iProver_def)) != sk_c8
    | multiply(identity,sk_c7) != sk_c8
    | ~ sP1_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_30319,c_390]) ).

cnf(c_55895,plain,
    ( multiply(identity,sk_c7) != sk_c8
    | sk_c8 != identity
    | ~ sP1_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_55855,c_30399]) ).

cnf(c_55922,plain,
    ( sk_c3 = sP4_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_33669,c_24918]) ).

cnf(c_59139,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = identity
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_55922,c_1011]) ).

cnf(c_59144,plain,
    ( sk_c7 = identity
    | sP8_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_59139,c_3845]) ).

cnf(c_59286,plain,
    ( multiply(sk_c4,identity) = sP8_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_59144,c_381]) ).

cnf(c_59292,plain,
    ( sk_c4 = sP8_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_59286,c_18734,c_18778]) ).

cnf(c_61322,plain,
    ( multiply(multiply(identity,identity),sP3_iProver_def) != sk_c7
    | sP7_iProver_def != sk_c7
    | sP7_iProver_def = multiply(multiply(identity,identity),sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_15698]) ).

cnf(c_64036,plain,
    ( sk_c3 = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_33863,c_24919]) ).

cnf(c_64117,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_64036,c_1011]) ).

cnf(c_64122,plain,
    ( sk_c7 = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_64117,c_3845]) ).

cnf(c_64248,plain,
    ( multiply(sk_c2,identity) = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_64122,c_384]) ).

cnf(c_66580,plain,
    ( sk_c2 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_64248,c_14710]) ).

cnf(c_66610,plain,
    ( sk_c8 = sP8_iProver_def
    | sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_66580,c_410]) ).

cnf(c_66612,plain,
    ( sk_c8 = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_66580,c_407]) ).

cnf(c_66613,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_66580,c_386]) ).

cnf(c_66617,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_66613,c_10015]) ).

cnf(c_67190,plain,
    ( sk_c3 = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_36535,c_24917]) ).

cnf(c_68964,plain,
    ( sP3_iProver_def = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_54136,c_54135]) ).

cnf(c_69285,plain,
    ( sk_c7 = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_66617,c_22693]) ).

cnf(c_69470,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = identity
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_67190,c_1011]) ).

cnf(c_69475,plain,
    ( sk_c7 = identity
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_69470,c_3845]) ).

cnf(c_69676,plain,
    ( sP3_iProver_def != sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_69285,c_14821]) ).

cnf(c_69702,plain,
    ( multiply(sk_c3,sP13_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_69285,c_377]) ).

cnf(c_69829,plain,
    ( sk_c8 != identity
    | ~ sP2_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_69475,c_15665]) ).

cnf(c_69830,plain,
    ( identity != sP3_iProver_def
    | sP5_iProver_def = sP9_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_69475,c_14821]) ).

cnf(c_69852,plain,
    ( multiply(sk_c2,identity) = sP11_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_69475,c_384]) ).

cnf(c_73925,plain,
    ( multiply(sk_c3,sP10_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_3298,c_69702]) ).

cnf(c_73933,plain,
    ( identity = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_73925,c_24871]) ).

cnf(c_76056,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_66612,c_66610]) ).

cnf(c_78463,plain,
    ( sk_c2 = sP11_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_69852,c_14710]) ).

cnf(c_78498,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_78463,c_386]) ).

cnf(c_78502,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_78498,c_10015]) ).

cnf(c_78752,plain,
    ( sk_c7 = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_78502,c_22723]) ).

cnf(c_78815,plain,
    ( inverse(sP11_iProver_def) = sk_c1
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_76056,c_21025]) ).

cnf(c_78954,plain,
    ( multiply(sk_c3,sP13_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_78752,c_377]) ).

cnf(c_81724,plain,
    ( multiply(sk_c3,sP10_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_3635,c_78954]) ).

cnf(c_81736,plain,
    ( identity = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_81724,c_24871]) ).

cnf(c_90942,plain,
    ( multiply(identity,sk_c7) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | multiply(identity,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1189]) ).

cnf(c_90946,plain,
    ( multiply(identity,sk_c7) != sP5_iProver_def
    | sk_c8 != sP5_iProver_def
    | multiply(identity,sk_c7) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_90942]) ).

cnf(c_92550,plain,
    ( inverse(sP3_iProver_def) = sk_c1
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_68964,c_78815]) ).

cnf(c_92558,plain,
    ( inverse(sP10_iProver_def) = sk_c1
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_2641,c_78815]) ).

cnf(c_92565,plain,
    ( sk_c1 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_78815,c_33869]) ).

cnf(c_92572,plain,
    ( sk_c1 = sk_c3
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_92558,c_24912]) ).

cnf(c_92577,plain,
    ( sk_c8 = sk_c1
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_92550,c_15522]) ).

cnf(c_92909,plain,
    ( sk_c1 = sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_92572,c_51795]) ).

cnf(c_92936,plain,
    ( inverse(sk_c1) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_92572,c_383]) ).

cnf(c_92943,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_92936,c_385]) ).

cnf(c_92991,plain,
    ( sk_c8 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_92577,c_92565]) ).

cnf(c_100856,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c7 != sP7_iProver_def
    | ~ sP2_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_27434,c_27682]) ).

cnf(c_108870,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = sk_c2
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_92943,c_11402]) ).

cnf(c_108883,plain,
    ( sk_c7 = sk_c2
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_108870,c_3845]) ).

cnf(c_108933,plain,
    ( sk_c7 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_108883,c_66580]) ).

cnf(c_108955,plain,
    ( multiply(sk_c1,sk_c7) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_108883,c_386]) ).

cnf(c_109278,plain,
    ( sk_c7 != multiply(multiply(identity,identity),sP3_iProver_def)
    | sP7_iProver_def != multiply(multiply(identity,identity),sP3_iProver_def)
    | sk_c7 = sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_14612]) ).

cnf(c_111830,plain,
    ( multiply(sk_c1,identity) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_64122,c_108955]) ).

cnf(c_111856,plain,
    ( sk_c1 = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_111830,c_19945,c_21025]) ).

cnf(c_112885,plain,
    ( sk_c8 != sP11_iProver_def
    | ~ sP2_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_108933,c_15665]) ).

cnf(c_113102,plain,
    ( sP3_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_111856,c_92909]) ).

cnf(c_113121,plain,
    ( inverse(sP13_iProver_def) = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_111856,c_385]) ).

cnf(c_114873,plain,
    ( multiply(inverse(X0),sk_c7) != X1
    | X2 != X1
    | multiply(inverse(X0),sk_c7) = X2 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114875,plain,
    ( inverse(X0) != X1
    | sk_c7 != X2
    | multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
    inference(instantiation,[status(thm)],[c_425]) ).

cnf(c_114876,plain,
    ( sk_c8 != X0
    | identity != X0
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114879,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_114887,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | X0 != identity
    | multiply(inverse(sk_c7),sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_114873]) ).

cnf(c_114890,plain,
    ( inverse(X0) != X1
    | sk_c7 != sk_c7
    | multiply(inverse(X0),sk_c7) = multiply(X1,sk_c7) ),
    inference(instantiation,[status(thm)],[c_114875]) ).

cnf(c_114892,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114895,plain,
    ( X0 != X1
    | identity != X1
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114911,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_114873]) ).

cnf(c_114916,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_114920,plain,
    ( multiply(inverse(X0),sk_c7) != X1
    | X2 != X1
    | X2 = multiply(inverse(X0),sk_c7) ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114929,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | multiply(X0,X1) = X3 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114946,plain,
    ( multiply(X0,sk_c7) != X1
    | X2 != X1
    | X2 = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_114948,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_114911]) ).

cnf(c_114967,plain,
    ( X0 != identity
    | identity != identity
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_114895]) ).

cnf(c_114979,plain,
    ( X0 != X1
    | sk_c7 != X1
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_115015,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | X0 != identity
    | X0 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_114920]) ).

cnf(c_115021,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_115022,plain,
    ( inverse(X0) != inverse(X1)
    | sk_c7 != sk_c7
    | multiply(inverse(X0),sk_c7) = multiply(inverse(X1),sk_c7) ),
    inference(instantiation,[status(thm)],[c_114890]) ).

cnf(c_115049,plain,
    ( multiply(sk_c3,sk_c7) != sP4_iProver_def
    | X0 != sP4_iProver_def
    | multiply(sk_c3,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_114929]) ).

cnf(c_115052,plain,
    ( multiply(sk_c4,sk_c7) != sP8_iProver_def
    | X0 != sP8_iProver_def
    | multiply(sk_c4,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_114929]) ).

cnf(c_115054,plain,
    ( multiply(sk_c1,sk_c2) != sP13_iProver_def
    | X0 != sP13_iProver_def
    | multiply(sk_c1,sk_c2) = X0 ),
    inference(instantiation,[status(thm)],[c_114929]) ).

cnf(c_115071,plain,
    ( X0 != sP7_iProver_def
    | sk_c7 != sP7_iProver_def
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_115102,plain,
    ( inverse(sk_c8) != sP3_iProver_def
    | X0 != sP3_iProver_def
    | inverse(sk_c8) = X0 ),
    inference(instantiation,[status(thm)],[c_115021]) ).

cnf(c_115212,plain,
    ( multiply(inverse(X0),sk_c7) != multiply(inverse(X1),sk_c7)
    | X2 != multiply(inverse(X1),sk_c7)
    | X2 = multiply(inverse(X0),sk_c7) ),
    inference(instantiation,[status(thm)],[c_114920]) ).

cnf(c_115255,plain,
    ( multiply(sk_c3,sk_c7) != sP4_iProver_def
    | X0 != sP4_iProver_def
    | X0 = multiply(sk_c3,sk_c7) ),
    inference(instantiation,[status(thm)],[c_114946]) ).

cnf(c_115256,plain,
    ( multiply(sk_c4,sk_c7) != sP8_iProver_def
    | X0 != sP8_iProver_def
    | X0 = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_114946]) ).

cnf(c_115285,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_114948]) ).

cnf(c_115296,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | identity != identity
    | identity = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_115015]) ).

cnf(c_115360,plain,
    ( multiply(sk_c3,sk_c7) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c3,sk_c7) ),
    inference(instantiation,[status(thm)],[c_114916]) ).

cnf(c_115421,plain,
    ( multiply(sk_c4,sk_c7) != sP8_iProver_def
    | sP6_iProver_def != sP8_iProver_def
    | multiply(sk_c4,sk_c7) = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_115052]) ).

cnf(c_115462,plain,
    ( multiply(sk_c1,sk_c2) != sP13_iProver_def
    | identity != sP13_iProver_def
    | multiply(sk_c1,sk_c2) = identity ),
    inference(instantiation,[status(thm)],[c_115054]) ).

cnf(c_115463,plain,
    ( multiply(sk_c1,sk_c2) != identity
    | identity != identity
    | identity = multiply(sk_c1,sk_c2) ),
    inference(instantiation,[status(thm)],[c_114967]) ).

cnf(c_115465,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_114887]) ).

cnf(c_115590,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_115856,plain,
    ( X0 != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_114979]) ).

cnf(c_115993,plain,
    ( sk_c8 != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_114876]) ).

cnf(c_116016,plain,
    ( X0 != X1
    | sP3_iProver_def != X1
    | X0 = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_423]) ).

cnf(c_116050,plain,
    ( sk_c7 != identity
    | identity != identity
    | identity = sk_c7 ),
    inference(instantiation,[status(thm)],[c_114967]) ).

cnf(c_116102,plain,
    ( multiply(inverse(X0),sk_c7) != X1
    | sk_c7 != X1
    | sk_c7 = multiply(inverse(X0),sk_c7) ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_116109,plain,
    ( sk_c7 != X0
    | identity != X0
    | sk_c7 = identity ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_116194,plain,
    ( multiply(inverse(X0),sk_c7) != multiply(X1,sk_c7)
    | sk_c7 != multiply(X1,sk_c7)
    | multiply(inverse(X0),sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_114911]) ).

cnf(c_116638,plain,
    ( sk_c8 != sk_c7
    | identity != sk_c7
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_114876]) ).

cnf(c_116743,plain,
    ( inverse(X0) != inverse(sk_c7)
    | sk_c7 != sk_c7
    | multiply(inverse(X0),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_115022]) ).

cnf(c_116745,plain,
    ( inverse(sk_c8) != inverse(sk_c7)
    | sk_c7 != sk_c7
    | multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_116743]) ).

cnf(c_116911,plain,
    ( sk_c7 != X0
    | sP4_iProver_def != X0
    | sk_c7 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_116912,plain,
    ( sk_c7 != sP7_iProver_def
    | sP4_iProver_def != sP7_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_115071]) ).

cnf(c_116913,plain,
    ( sk_c7 != sk_c8
    | sP4_iProver_def != sk_c8
    | sk_c7 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_116911]) ).

cnf(c_117428,plain,
    ( multiply(sk_c4,sk_c7) != sP8_iProver_def
    | identity != sP8_iProver_def
    | identity = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_115256]) ).

cnf(c_117430,plain,
    ( sk_c8 != multiply(sk_c4,sk_c7)
    | identity != multiply(sk_c4,sk_c7)
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_114876]) ).

cnf(c_117723,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_115285]) ).

cnf(c_118388,plain,
    ( multiply(inverse(X0),sk_c7) != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | identity = multiply(inverse(X0),sk_c7) ),
    inference(instantiation,[status(thm)],[c_115212]) ).

cnf(c_118389,plain,
    ( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | identity = multiply(inverse(sk_c8),sk_c7) ),
    inference(instantiation,[status(thm)],[c_118388]) ).

cnf(c_118455,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_114879]) ).

cnf(c_118480,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_115255]) ).

cnf(c_118482,plain,
    ( X0 != multiply(sk_c3,sk_c7)
    | sk_c7 != multiply(sk_c3,sk_c7)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_114892]) ).

cnf(c_118483,plain,
    ( sk_c8 != multiply(sk_c3,sk_c7)
    | sk_c7 != multiply(sk_c3,sk_c7)
    | sk_c7 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_118482]) ).

cnf(c_118488,plain,
    ( multiply(sk_c3,sk_c7) != sP4_iProver_def
    | identity != sP4_iProver_def
    | identity = multiply(sk_c3,sk_c7) ),
    inference(instantiation,[status(thm)],[c_115255]) ).

cnf(c_118583,plain,
    ( X0 != multiply(sk_c3,sk_c7)
    | identity != multiply(sk_c3,sk_c7)
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_114895]) ).

cnf(c_118585,plain,
    ( sk_c8 != multiply(sk_c3,sk_c7)
    | identity != multiply(sk_c3,sk_c7)
    | identity = sk_c8 ),
    inference(instantiation,[status(thm)],[c_118583]) ).

cnf(c_120178,plain,
    ( sk_c8 != multiply(sk_c1,sk_c2)
    | identity != multiply(sk_c1,sk_c2)
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_114876]) ).

cnf(c_120357,plain,
    ( multiply(sk_c3,sk_c7) != sP3_iProver_def
    | sk_c7 != sP3_iProver_def
    | multiply(sk_c3,sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_115856]) ).

cnf(c_120358,plain,
    ( multiply(sk_c3,sk_c7) != sP4_iProver_def
    | sP3_iProver_def != sP4_iProver_def
    | multiply(sk_c3,sk_c7) = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_115049]) ).

cnf(c_121012,plain,
    ( X0 != sk_c7
    | inverse(X0) = inverse(sk_c7) ),
    inference(instantiation,[status(thm)],[c_424]) ).

cnf(c_121014,plain,
    ( sk_c8 != sk_c7
    | inverse(sk_c8) = inverse(sk_c7) ),
    inference(instantiation,[status(thm)],[c_121012]) ).

cnf(c_121691,plain,
    ( multiply(inverse(X0),sk_c7) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(inverse(X0),sk_c7) ),
    inference(instantiation,[status(thm)],[c_116102]) ).

cnf(c_121692,plain,
    ( multiply(inverse(sk_c8),sk_c7) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(inverse(sk_c8),sk_c7) ),
    inference(instantiation,[status(thm)],[c_121691]) ).

cnf(c_124647,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_117723]) ).

cnf(c_124648,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_115049]) ).

cnf(c_127334,plain,
    ( X0 != sP4_iProver_def
    | sP3_iProver_def != sP4_iProver_def
    | X0 = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_116016]) ).

cnf(c_127336,plain,
    ( sk_c8 != sP4_iProver_def
    | sP3_iProver_def != sP4_iProver_def
    | sk_c8 = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_127334]) ).

cnf(c_127347,plain,
    ( sk_c8 != sP4_iProver_def
    | identity != sP4_iProver_def
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_114876]) ).

cnf(c_128604,plain,
    sP5_iProver_def = sP8_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_113121,c_650,c_24929,c_69676,c_73933,c_92991,c_112885,c_113102,c_127347]) ).

cnf(c_128708,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_53690,c_128604]) ).

cnf(c_128761,plain,
    ( sk_c4 = sP5_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_59292,c_128604]) ).

cnf(c_128855,plain,
    ( sk_c8 = sP4_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_17797,c_128604]) ).

cnf(c_128916,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP5_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1201,c_128604]) ).

cnf(c_128945,plain,
    multiply(sP9_iProver_def,sP5_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_3878,c_128604]) ).

cnf(c_128955,plain,
    multiply(sk_c4,sk_c7) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_381,c_128604]) ).

cnf(c_132931,plain,
    ( identity != X0
    | sP3_iProver_def != X0
    | identity = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_114895]) ).

cnf(c_132937,plain,
    ( inverse(sk_c8) != sP3_iProver_def
    | identity != sP3_iProver_def
    | inverse(sk_c8) = identity ),
    inference(instantiation,[status(thm)],[c_115102]) ).

cnf(c_132938,plain,
    ( identity != sk_c8
    | sP3_iProver_def != sk_c8
    | identity = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_132931]) ).

cnf(c_132996,plain,
    ( multiply(X0,sk_c7) != X1
    | identity != X1
    | identity = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_114895]) ).

cnf(c_133031,plain,
    ( inverse(X0) != identity
    | X1 != identity
    | X1 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_115590]) ).

cnf(c_133037,plain,
    ( inverse(sk_c8) != identity
    | sk_c8 != identity
    | sk_c8 = inverse(sk_c8) ),
    inference(instantiation,[status(thm)],[c_133031]) ).

cnf(c_134543,plain,
    ( sk_c7 != multiply(inverse(X0),sk_c7)
    | identity != multiply(inverse(X0),sk_c7)
    | sk_c7 = identity ),
    inference(instantiation,[status(thm)],[c_116109]) ).

cnf(c_134558,plain,
    ( sk_c7 != multiply(inverse(sk_c8),sk_c7)
    | identity != multiply(inverse(sk_c8),sk_c7)
    | sk_c7 = identity ),
    inference(instantiation,[status(thm)],[c_134543]) ).

cnf(c_137474,plain,
    ( multiply(sk_c4,sk_c7) != sP6_iProver_def
    | identity != sP6_iProver_def
    | identity = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_132996]) ).

cnf(c_140369,plain,
    sP5_iProver_def = sP9_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_128761,c_377,c_661,c_1169,c_1711,c_24929,c_35481,c_38908,c_69830,c_69829,c_81736,c_118488,c_118585,c_127347,c_132938]) ).

cnf(c_140371,plain,
    multiply(sP5_iProver_def,sP5_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_128945,c_140369]) ).

cnf(c_140486,plain,
    inverse(sP5_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_18778,c_140369]) ).

cnf(c_140487,plain,
    multiply(sk_c4,sP5_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_18730,c_140369]) ).

cnf(c_140554,plain,
    multiply(sP5_iProver_def,sk_c4) = identity,
    inference(demodulation,[status(thm)],[c_1008,c_140369]) ).

cnf(c_140559,plain,
    sk_c4 = sk_c5,
    inference(light_normalisation,[status(thm)],[c_140486,c_19431]) ).

cnf(c_140583,plain,
    multiply(sk_c4,sP7_iProver_def) = multiply(sP6_iProver_def,sk_c6),
    inference(demodulation,[status(thm)],[c_9736,c_140559]) ).

cnf(c_140590,plain,
    multiply(sk_c4,sk_c8) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_379,c_140559]) ).

cnf(c_140977,plain,
    multiply(sP5_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_140371,c_82]) ).

cnf(c_142707,plain,
    ( multiply(sP6_iProver_def,sk_c6) = sP5_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_128916,c_140583]) ).

cnf(c_142730,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) = sP5_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_413,c_142707]) ).

cnf(c_143167,plain,
    multiply(sk_c7,sk_c4) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_140554,c_140977]) ).

cnf(c_143168,plain,
    multiply(sk_c7,sP5_iProver_def) = multiply(sP5_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_140371,c_140977]) ).

cnf(c_143432,plain,
    multiply(sk_c7,sk_c4) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_143167,c_14710]) ).

cnf(c_143454,plain,
    multiply(inverse(sk_c7),sP5_iProver_def) = sk_c4,
    inference(superposition,[status(thm)],[c_143432,c_13887]) ).

cnf(c_143457,plain,
    multiply(sk_c3,sP5_iProver_def) = multiply(sP4_iProver_def,sk_c4),
    inference(superposition,[status(thm)],[c_143432,c_2559]) ).

cnf(c_143652,plain,
    ( multiply(inverse(sP7_iProver_def),sP5_iProver_def) = sk_c4
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_394,c_143454]) ).

cnf(c_143684,plain,
    ( multiply(sP5_iProver_def,sP7_iProver_def) = multiply(sP7_iProver_def,sP5_iProver_def)
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_394,c_143168]) ).

cnf(c_144819,plain,
    ( multiply(sP3_iProver_def,sP5_iProver_def) = sk_c4
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4662,c_143652]) ).

cnf(c_144822,plain,
    ( inverse(sP6_iProver_def) = sk_c4
    | sk_c8 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_144819,c_30315]) ).

cnf(c_145560,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c4 = identity ),
    inference(superposition,[status(thm)],[c_144822,c_30319]) ).

cnf(c_145657,plain,
    ( multiply(inverse(X0),sk_c7) != multiply(sk_c3,sk_c7)
    | sk_c7 != multiply(sk_c3,sk_c7)
    | multiply(inverse(X0),sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_116194]) ).

cnf(c_145658,plain,
    ( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c3,sk_c7)
    | sk_c7 != multiply(sk_c3,sk_c7)
    | multiply(inverse(sk_c8),sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_145657]) ).

cnf(c_145722,plain,
    ( multiply(identity,sk_c7) = sP5_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_145560,c_128955]) ).

cnf(c_145727,plain,
    ( sk_c8 = sP4_iProver_def
    | identity = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_145560,c_15483]) ).

cnf(c_145798,plain,
    sk_c8 = sP4_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_143684,c_376,c_378,c_387,c_846,c_923,c_1169,c_3267,c_3958,c_4305,c_4380,c_4506,c_12032,c_14816,c_15755,c_26396,c_26400,c_55895,c_90946,c_128855,c_132937,c_133037,c_145727,c_145722]) ).

cnf(c_145825,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) = sP5_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_142730,c_145798]) ).

cnf(c_145835,plain,
    multiply(sk_c4,sP4_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_140590,c_145798]) ).

cnf(c_145870,plain,
    ( sk_c7 != sP4_iProver_def
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_15665,c_145798]) ).

cnf(c_145891,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_1404,c_145798]) ).

cnf(c_145925,plain,
    multiply(sP5_iProver_def,sP6_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_3866,c_145798]) ).

cnf(c_145936,plain,
    multiply(sP3_iProver_def,sP4_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_1007,c_145798]) ).

cnf(c_145943,plain,
    inverse(sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_376,c_145798]) ).

cnf(c_145944,plain,
    ( sk_c6 = sP6_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_398,c_145798]) ).

cnf(c_146591,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_145944,c_49166]) ).

cnf(c_146598,plain,
    ( sP4_iProver_def = sP7_iProver_def
    | sP4_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_146591,c_145925]) ).

cnf(c_147273,plain,
    ( inverse(sP4_iProver_def) = sk_c3
    | sP4_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_146598,c_24912]) ).

cnf(c_147279,plain,
    ( sk_c3 = sP3_iProver_def
    | sP4_iProver_def = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_147273,c_145943]) ).

cnf(c_147391,plain,
    ( sP4_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_145825,c_40746]) ).

cnf(c_147481,plain,
    ( multiply(sP3_iProver_def,sk_c7) = sP4_iProver_def
    | sP4_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_147279,c_377]) ).

cnf(c_147658,plain,
    ( inverse(sP4_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_147391,c_128708]) ).

cnf(c_147666,plain,
    ( sP3_iProver_def = sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_147658,c_145943]) ).

cnf(c_147884,plain,
    ( multiply(sP5_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sP3_iProver_def = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_147666,c_145925]) ).

cnf(c_147913,plain,
    ( sk_c7 = sP4_iProver_def
    | sP3_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_147884,c_140371]) ).

cnf(c_148044,plain,
    ( ~ sP2_iProver_def
    | sP3_iProver_def = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_147913,c_145870]) ).

cnf(c_148132,plain,
    ~ sP2_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_148044,c_428,c_376,c_378,c_387,c_846,c_918,c_923,c_1097,c_1169,c_1654,c_3267,c_3958,c_4305,c_4380,c_4506,c_5565,c_5603,c_8698,c_12032,c_14814,c_15665,c_15755,c_15751,c_26396,c_26400,c_55895,c_90946,c_100856,c_127336,c_128855,c_132937,c_133037,c_145727,c_145722,c_148044]) ).

cnf(c_148135,plain,
    ( sk_c7 != sP3_iProver_def
    | sP1_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_14821,c_148132]) ).

cnf(c_148208,plain,
    sk_c8 = sP8_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_5563,c_376,c_378,c_386,c_387,c_846,c_923,c_1169,c_1279,c_1654,c_3267,c_3958,c_4305,c_4380,c_4506,c_5565,c_5603,c_7999,c_8268,c_12032,c_14814,c_15755,c_19953,c_24929,c_26396,c_26400,c_35486,c_55895,c_90946,c_115462,c_115463,c_120178,c_128855,c_132937,c_133037,c_145727,c_145722,c_148132]) ).

cnf(c_148210,plain,
    sP4_iProver_def = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_148208,c_128604,c_145798]) ).

cnf(c_148246,plain,
    multiply(sk_c3,sP4_iProver_def) = multiply(sP4_iProver_def,sk_c4),
    inference(demodulation,[status(thm)],[c_143457,c_148210]) ).

cnf(c_148265,plain,
    multiply(sP4_iProver_def,sk_c4) = identity,
    inference(demodulation,[status(thm)],[c_140554,c_148210]) ).

cnf(c_148266,plain,
    multiply(sk_c4,sP4_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_140487,c_148210]) ).

cnf(c_148279,plain,
    multiply(sP3_iProver_def,sP4_iProver_def) = inverse(sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_30315,c_148210]) ).

cnf(c_148285,plain,
    identity = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_148266,c_145835]) ).

cnf(c_148286,plain,
    inverse(sP6_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_148279,c_145936]) ).

cnf(c_148370,plain,
    multiply(X0,sP6_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_14710,c_148285]) ).

cnf(c_148434,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_145891,c_428,c_376,c_378,c_381,c_386,c_387,c_846,c_918,c_923,c_1097,c_1169,c_1279,c_1654,c_3267,c_3958,c_4305,c_4380,c_4506,c_5169,c_5565,c_5603,c_7999,c_8268,c_8698,c_12032,c_14814,c_15665,c_15755,c_15751,c_18525,c_19953,c_24929,c_26396,c_26400,c_35484,c_35486,c_53666,c_55895,c_90946,c_100856,c_115296,c_115421,c_115462,c_115465,c_115463,c_115993,c_117428,c_117430,c_118455,c_120178,c_127336,c_128855,c_132937,c_133037,c_137474,c_145727,c_145722,c_145891,c_148044,c_148135,c_148285]) ).

cnf(c_148436,plain,
    sP4_iProver_def = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_148434,c_148370]) ).

cnf(c_148452,plain,
    ( sk_c7 = sP3_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_419,c_148436]) ).

cnf(c_148479,plain,
    sk_c7 = sP4_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_148452,c_376,c_377,c_378,c_387,c_394,c_846,c_857,c_914,c_915,c_923,c_1094,c_1097,c_1098,c_1169,c_1274,c_1279,c_1654,c_2102,c_3267,c_3958,c_4305,c_4380,c_4506,c_5169,c_5506,c_5508,c_5565,c_5603,c_12032,c_14814,c_15755,c_24929,c_26396,c_26400,c_38698,c_55895,c_61322,c_90946,c_109278,c_115296,c_115360,c_116050,c_116638,c_116745,c_116912,c_116913,c_118389,c_120357,c_120358,c_121014,c_121692,c_124647,c_124648,c_127336,c_128855,c_132937,c_133037,c_134558,c_145658,c_145727,c_145722,c_147481,c_147913,c_148135,c_148452]) ).

cnf(c_148491,plain,
    multiply(sk_c3,sP4_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_377,c_148479]) ).

cnf(c_148492,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_148491,c_148246,c_148265,c_148285]) ).

cnf(c_148497,plain,
    identity = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_148285,c_148492]) ).

cnf(c_148564,plain,
    sP3_iProver_def = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_148286,c_145943,c_148492,c_148497]) ).

cnf(c_148579,plain,
    sk_c8 = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_145798,c_148564]) ).

cnf(c_148580,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_148579,c_148497,c_148479,c_148132,c_145798,c_127347,c_118483,c_118480,c_35481,c_24929,c_14816,c_1711,c_1169,c_846,c_387,c_377]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:54:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 35.85/5.76  % SZS status Started for theBenchmark.p
% 35.85/5.76  % SZS status Unsatisfiable for theBenchmark.p
% 35.85/5.76  
% 35.85/5.76  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.85/5.76  
% 35.85/5.76  ------  iProver source info
% 35.85/5.76  
% 35.85/5.76  git: date: 2024-05-02 19:28:25 +0000
% 35.85/5.76  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.85/5.76  git: non_committed_changes: false
% 35.85/5.76  
% 35.85/5.76  ------ Parsing...successful
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 35.85/5.76  
% 35.85/5.76  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 35.85/5.76  
% 35.85/5.76  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 35.85/5.76  ------ Proving...
% 35.85/5.76  ------ Problem Properties 
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  clauses                                 48
% 35.85/5.76  conjectures                             34
% 35.85/5.76  EPR                                     31
% 35.85/5.76  Horn                                    17
% 35.85/5.76  unary                                   14
% 35.85/5.76  binary                                  30
% 35.85/5.76  lits                                    87
% 35.85/5.76  lits eq                                 81
% 35.85/5.76  fd_pure                                 0
% 35.85/5.76  fd_pseudo                               0
% 35.85/5.76  fd_cond                                 0
% 35.85/5.76  fd_pseudo_cond                          0
% 35.85/5.76  AC symbols                              0
% 35.85/5.76  
% 35.85/5.76  ------ Schedule dynamic 5 is on 
% 35.85/5.76  
% 35.85/5.76  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  ------ 
% 35.85/5.76  Current options:
% 35.85/5.76  ------ 
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  ------ Proving...
% 35.85/5.76  
% 35.85/5.76  
% 35.85/5.76  % SZS status Unsatisfiable for theBenchmark.p
% 35.85/5.76  
% 35.85/5.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.85/5.77  
% 35.85/5.77  
%------------------------------------------------------------------------------