TSTP Solution File: GRP324-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP324-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:59:43 EDT 2024

% Result   : Unsatisfiable 9.75s 2.01s
% Output   : CNFRefutation 9.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

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

cnf(c_59,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( inverse(sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

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

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

cnf(c_72,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c8) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( inverse(sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | multiply(X1,sk_c8) != X2
    | multiply(X3,sk_c8) != sk_c7
    | multiply(X4,sk_c7) != sk_c6
    | multiply(sk_c8,X2) != sk_c7
    | multiply(sk_c7,sk_c8) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c7
    | inverse(sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

cnf(c_86,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_87,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_88,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,sk_c7) != sk_c8
    | multiply(X2,sk_c8) != sk_c7
    | multiply(X3,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c8) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c7
    | inverse(sk_c8) != sk_c6 ),
    inference(unflattening,[status(thm)],[c_85]) ).

cnf(c_434,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).

cnf(c_435,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).

cnf(c_436,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).

cnf(c_437,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).

cnf(c_438,negated_conjecture,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(sk_c8) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).

cnf(c_439,plain,
    multiply(sk_c7,sk_c8) = sP4_iProver_def,
    definition ).

cnf(c_440,plain,
    multiply(sk_c8,sk_c7) = sP5_iProver_def,
    definition ).

cnf(c_441,plain,
    inverse(sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_442,plain,
    inverse(sk_c5) = sP7_iProver_def,
    definition ).

cnf(c_443,plain,
    inverse(sk_c2) = sP8_iProver_def,
    definition ).

cnf(c_444,plain,
    multiply(sk_c5,sk_c7) = sP9_iProver_def,
    definition ).

cnf(c_445,plain,
    inverse(sk_c4) = sP10_iProver_def,
    definition ).

cnf(c_446,plain,
    multiply(sk_c4,sk_c8) = sP11_iProver_def,
    definition ).

cnf(c_447,plain,
    multiply(sk_c2,sk_c8) = sP12_iProver_def,
    definition ).

cnf(c_448,plain,
    multiply(sk_c8,sk_c3) = sP13_iProver_def,
    definition ).

cnf(c_449,plain,
    inverse(sk_c1) = sP14_iProver_def,
    definition ).

cnf(c_450,plain,
    multiply(sk_c1,sk_c7) = sP15_iProver_def,
    definition ).

cnf(c_451,negated_conjecture,
    ( sP4_iProver_def != sk_c6
    | sP5_iProver_def != sk_c6
    | sP6_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_438,c_441,c_440,c_439]) ).

cnf(c_452,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_437]) ).

cnf(c_453,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_436]) ).

cnf(c_454,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_435]) ).

cnf(c_455,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_434]) ).

cnf(c_456,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_84,c_443,c_442]) ).

cnf(c_457,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_83,c_444]) ).

cnf(c_458,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_459,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_81,c_445]) ).

cnf(c_460,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_80,c_446]) ).

cnf(c_461,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_462,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_78,c_447]) ).

cnf(c_463,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_465,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_466,negated_conjecture,
    ( sP11_iProver_def = sk_c7
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_467,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_468,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_72,c_448]) ).

cnf(c_470,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_471,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_472,negated_conjecture,
    ( sP11_iProver_def = sk_c7
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_474,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_66,c_449]) ).

cnf(c_475,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_476,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_477,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_478,negated_conjecture,
    ( sP11_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_479,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_480,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_60,c_450]) ).

cnf(c_481,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_482,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_485,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_486,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_487,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_491,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP5_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_492,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_493,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_791,plain,
    ( multiply(sP10_iProver_def,sk_c7) = sP5_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_459,c_440]) ).

cnf(c_895,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
    | sk_c6 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_467,c_448]) ).

cnf(c_896,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_466,c_448]) ).

cnf(c_897,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_465,c_448]) ).

cnf(c_899,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_448]) ).

cnf(c_900,plain,
    ( multiply(sk_c8,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_462,c_448]) ).

cnf(c_927,plain,
    multiply(sP10_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_445,c_87]) ).

cnf(c_928,plain,
    multiply(sP6_iProver_def,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_441,c_87]) ).

cnf(c_929,plain,
    multiply(sP7_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_442,c_87]) ).

cnf(c_930,plain,
    multiply(sP14_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_449,c_87]) ).

cnf(c_931,plain,
    multiply(sP8_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_443,c_87]) ).

cnf(c_961,plain,
    ( sk_c6 != X0
    | sP4_iProver_def != X0
    | sP4_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_980,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_991,plain,
    ( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_474,c_450]) ).

cnf(c_993,plain,
    ( sk_c7 = sP7_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_474,c_468]) ).

cnf(c_995,plain,
    ( multiply(sk_c8,sP14_iProver_def) = sP5_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_474,c_440]) ).

cnf(c_996,plain,
    ( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_474,c_439]) ).

cnf(c_1021,plain,
    ( X0 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_980]) ).

cnf(c_1022,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_1034,plain,
    ( sk_c6 != sk_c6
    | sP9_iProver_def != sk_c6
    | sk_c6 = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_1021]) ).

cnf(c_1074,plain,
    ( sk_c6 != sk_c6
    | sP4_iProver_def != sk_c6
    | sk_c6 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_1021]) ).

cnf(c_1086,plain,
    ( sk_c8 = sP10_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_477,c_471]) ).

cnf(c_1137,plain,
    ( sk_c7 = sP11_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_478,c_472]) ).

cnf(c_1183,plain,
    ( sk_c7 = sP14_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_479,c_476]) ).

cnf(c_1184,plain,
    ( sk_c7 = sP14_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_479,c_475]) ).

cnf(c_1208,plain,
    ( multiply(sk_c1,sP7_iProver_def) = sP15_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_450]) ).

cnf(c_1211,plain,
    ( multiply(sk_c5,sP7_iProver_def) = sP9_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_444]) ).

cnf(c_1212,plain,
    ( multiply(sk_c8,sP7_iProver_def) = sP5_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_440]) ).

cnf(c_1267,plain,
    ( sk_c6 != sP9_iProver_def
    | sP4_iProver_def != sP9_iProver_def
    | sP4_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_961]) ).

cnf(c_1472,plain,
    ( sk_c8 = sP15_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_485,c_482]) ).

cnf(c_1473,plain,
    ( sk_c8 = sP15_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_485,c_481]) ).

cnf(c_1583,plain,
    ( sk_c7 = sP7_iProver_def
    | sk_c6 = sP4_iProver_def
    | sP4_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_487,c_486]) ).

cnf(c_2118,plain,
    ( inverse(sk_c5) != sk_c7
    | sk_c8 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_444,c_454]) ).

cnf(c_2119,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c8 != sP15_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_450,c_454]) ).

cnf(c_2135,plain,
    ( sk_c7 != sP14_iProver_def
    | sk_c8 != sP15_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2119,c_449]) ).

cnf(c_2139,plain,
    ( sk_c7 != sP7_iProver_def
    | sk_c8 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2118,c_442]) ).

cnf(c_2241,plain,
    ( inverse(sk_c4) != sk_c8
    | sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_446,c_455]) ).

cnf(c_2245,plain,
    ( inverse(sP6_iProver_def) != sk_c8
    | sk_c7 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_928,c_455]) ).

cnf(c_2258,plain,
    ( sk_c7 != sP11_iProver_def
    | sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2241,c_445]) ).

cnf(c_2300,plain,
    ( multiply(sk_c8,sP11_iProver_def) != sk_c7
    | inverse(sk_c4) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_446,c_452]) ).

cnf(c_2317,plain,
    ( multiply(sk_c8,sP11_iProver_def) != sk_c7
    | sk_c8 != sP10_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2300,c_445]) ).

cnf(c_2448,plain,
    multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_439,c_88]) ).

cnf(c_2449,plain,
    multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_440,c_88]) ).

cnf(c_2450,plain,
    multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
    inference(superposition,[status(thm)],[c_446,c_88]) ).

cnf(c_2451,plain,
    multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sP9_iProver_def,X0),
    inference(superposition,[status(thm)],[c_444,c_88]) ).

cnf(c_2452,plain,
    multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP15_iProver_def,X0),
    inference(superposition,[status(thm)],[c_450,c_88]) ).

cnf(c_2454,plain,
    multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sP12_iProver_def,X0),
    inference(superposition,[status(thm)],[c_447,c_88]) ).

cnf(c_2456,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_87,c_88]) ).

cnf(c_2458,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_927,c_88]) ).

cnf(c_2459,plain,
    multiply(sP6_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_928,c_88]) ).

cnf(c_2460,plain,
    multiply(sP7_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_929,c_88]) ).

cnf(c_2461,plain,
    multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_930,c_88]) ).

cnf(c_2462,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_931,c_88]) ).

cnf(c_2468,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2462,c_86]) ).

cnf(c_2469,plain,
    multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2461,c_86]) ).

cnf(c_2470,plain,
    multiply(sP7_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2460,c_86]) ).

cnf(c_2471,plain,
    multiply(sP6_iProver_def,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2459,c_86]) ).

cnf(c_2472,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2458,c_86]) ).

cnf(c_2989,plain,
    ( multiply(sP7_iProver_def,sk_c8) = sP4_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_993,c_439]) ).

cnf(c_3098,plain,
    ( sk_c6 != sP5_iProver_def
    | sk_c6 != sP6_iProver_def
    | sk_c7 = sP7_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_486,c_451]) ).

cnf(c_3394,plain,
    ( multiply(sP10_iProver_def,sk_c7) = sP5_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1086,c_440]) ).

cnf(c_3666,plain,
    ( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_1183,c_439]) ).

cnf(c_3747,plain,
    ( multiply(sP14_iProver_def,sk_c8) = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1184,c_439]) ).

cnf(c_4700,plain,
    multiply(sP8_iProver_def,sP12_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_447,c_2468]) ).

cnf(c_4703,plain,
    multiply(sP8_iProver_def,multiply(sP12_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4700,c_88]) ).

cnf(c_4705,plain,
    multiply(sP14_iProver_def,sP15_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_450,c_2469]) ).

cnf(c_4831,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP5_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_460,c_791]) ).

cnf(c_4980,plain,
    multiply(sP14_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4705,c_88]) ).

cnf(c_4982,plain,
    multiply(sP7_iProver_def,sP9_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_444,c_2470]) ).

cnf(c_4991,plain,
    multiply(sP7_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4982,c_88]) ).

cnf(c_4998,plain,
    multiply(sP6_iProver_def,sP5_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_440,c_2471]) ).

cnf(c_5090,plain,
    multiply(sP6_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4998,c_88]) ).

cnf(c_5094,plain,
    multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_446,c_2472]) ).

cnf(c_5104,plain,
    multiply(sP10_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_5094,c_88]) ).

cnf(c_6449,plain,
    ( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_991,c_2469]) ).

cnf(c_6450,plain,
    ( sk_c7 = sP7_iProver_def
    | sk_c7 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6449,c_4705]) ).

cnf(c_6490,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP14_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_995,c_2471]) ).

cnf(c_7826,plain,
    ( multiply(sP14_iProver_def,sP15_iProver_def) = sP7_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1208,c_2469]) ).

cnf(c_7827,plain,
    ( sk_c7 = sP7_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7826,c_4705]) ).

cnf(c_7868,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP7_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1212,c_2471]) ).

cnf(c_8494,plain,
    ( sk_c8 = sP5_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4831,c_5094]) ).

cnf(c_8554,plain,
    ( inverse(sP8_iProver_def) = sP6_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_8494,c_441]) ).

cnf(c_9358,plain,
    multiply(sk_c7,sP5_iProver_def) = multiply(sP4_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_440,c_2448]) ).

cnf(c_9359,plain,
    multiply(sk_c7,sP13_iProver_def) = multiply(sP4_iProver_def,sk_c3),
    inference(superposition,[status(thm)],[c_448,c_2448]) ).

cnf(c_9639,plain,
    ( multiply(sP4_iProver_def,sP13_iProver_def) = multiply(sP13_iProver_def,sP5_iProver_def)
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_468,c_9358]) ).

cnf(c_9924,plain,
    ( multiply(sP4_iProver_def,sk_c3) = multiply(sP13_iProver_def,sP13_iProver_def)
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_468,c_9359]) ).

cnf(c_9993,plain,
    multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c8),
    inference(superposition,[status(thm)],[c_439,c_2449]) ).

cnf(c_10172,plain,
    multiply(sP6_iProver_def,multiply(sP5_iProver_def,sk_c8)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_9993,c_2471]) ).

cnf(c_10487,plain,
    multiply(sk_c5,sP4_iProver_def) = multiply(sP9_iProver_def,sk_c8),
    inference(superposition,[status(thm)],[c_439,c_2451]) ).

cnf(c_10592,plain,
    multiply(sP7_iProver_def,multiply(sP9_iProver_def,sk_c8)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_10487,c_2470]) ).

cnf(c_10594,plain,
    multiply(sk_c1,sP4_iProver_def) = multiply(sP15_iProver_def,sk_c8),
    inference(superposition,[status(thm)],[c_439,c_2452]) ).

cnf(c_10829,plain,
    multiply(sk_c2,multiply(sP5_iProver_def,sk_c8)) = multiply(sP12_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_9993,c_2454]) ).

cnf(c_11272,plain,
    ( sk_c6 = sP4_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1583,c_487,c_1022,c_1034,c_1074,c_1267,c_1583]) ).

cnf(c_11273,plain,
    ( sk_c7 = sP7_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_11272]) ).

cnf(c_12892,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP5_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1137,c_3394]) ).

cnf(c_12911,plain,
    ( sk_c8 = sP5_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12892,c_5094]) ).

cnf(c_13022,plain,
    ( multiply(sP7_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sP13_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_12911,c_2989]) ).

cnf(c_13862,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2456,c_86]) ).

cnf(c_13882,plain,
    multiply(inverse(sk_c7),sP4_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_439,c_13862]) ).

cnf(c_13889,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_86,c_13862]) ).

cnf(c_13890,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_87,c_13862]) ).

cnf(c_14015,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2472,c_13862]) ).

cnf(c_14016,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2471,c_13862]) ).

cnf(c_14017,plain,
    multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2470,c_13862]) ).

cnf(c_14018,plain,
    multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2469,c_13862]) ).

cnf(c_14019,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_2468,c_13862]) ).

cnf(c_14041,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_13862,c_13862]) ).

cnf(c_14828,plain,
    ( multiply(sk_c8,sk_c8) != sk_c7
    | inverse(inverse(identity)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_13889,c_452]) ).

cnf(c_14895,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_13890,c_14041]) ).

cnf(c_14904,plain,
    multiply(sk_c2,sk_c8) = multiply(sP12_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2454]) ).

cnf(c_14905,plain,
    multiply(sk_c4,sk_c8) = multiply(sP11_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2450]) ).

cnf(c_14906,plain,
    multiply(sk_c7,sk_c8) = multiply(sP4_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2448]) ).

cnf(c_14908,plain,
    multiply(sk_c1,sk_c7) = multiply(sP15_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2452]) ).

cnf(c_14909,plain,
    multiply(sk_c5,sk_c7) = multiply(sP9_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2451]) ).

cnf(c_14910,plain,
    multiply(sk_c8,sk_c7) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_14895,c_2449]) ).

cnf(c_14916,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_14895,c_13889]) ).

cnf(c_14918,plain,
    multiply(sP5_iProver_def,identity) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14910,c_440]) ).

cnf(c_14919,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14909,c_444]) ).

cnf(c_14920,plain,
    multiply(sP15_iProver_def,identity) = sP15_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14908,c_450]) ).

cnf(c_14921,plain,
    multiply(sP4_iProver_def,identity) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14906,c_439]) ).

cnf(c_14922,plain,
    multiply(sP11_iProver_def,identity) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14905,c_446]) ).

cnf(c_14923,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14904,c_447]) ).

cnf(c_15407,plain,
    ( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_1472,c_3666]) ).

cnf(c_15421,plain,
    ( sk_c7 = sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15407,c_4705]) ).

cnf(c_15603,plain,
    ( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1473,c_3747]) ).

cnf(c_15618,plain,
    ( sk_c7 = sP4_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15603,c_4705]) ).

cnf(c_17027,plain,
    multiply(sk_c4,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14015,c_87]) ).

cnf(c_17030,plain,
    ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
    | inverse(inverse(sP10_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_14015,c_452]) ).

cnf(c_17031,plain,
    ( multiply(sk_c4,sk_c8) != sk_c7
    | inverse(inverse(sP10_iProver_def)) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_14015,c_455]) ).

cnf(c_17033,plain,
    multiply(sk_c4,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_14015,c_14895]) ).

cnf(c_17042,plain,
    ( inverse(inverse(sP10_iProver_def)) != sk_c8
    | sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17031,c_446]) ).

cnf(c_17123,plain,
    inverse(sP10_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_17033,c_14895]) ).

cnf(c_18332,plain,
    multiply(sk_c8,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14016,c_87]) ).

cnf(c_18337,plain,
    multiply(sk_c8,multiply(sP6_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_14016,c_13862]) ).

cnf(c_18338,plain,
    multiply(sk_c8,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_14016,c_14895]) ).

cnf(c_18384,plain,
    multiply(sk_c4,identity) = multiply(sP11_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_18332,c_2450]) ).

cnf(c_18385,plain,
    multiply(sk_c7,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_18332,c_2448]) ).

cnf(c_18386,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_18332,c_2471]) ).

cnf(c_18530,plain,
    inverse(sP6_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_18338,c_14895]) ).

cnf(c_18686,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm)],[c_928,c_18337]) ).

cnf(c_18702,plain,
    ( inverse(sP6_iProver_def) != sk_c8
    | sk_c7 != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_18337,c_452]) ).

cnf(c_18748,plain,
    ( sk_c7 != sk_c8
    | ~ sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18702,c_18530]) ).

cnf(c_18969,plain,
    ( sk_c8 != sP13_iProver_def
    | ~ sP3_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_468,c_18748]) ).

cnf(c_20247,plain,
    multiply(sP11_iProver_def,sP6_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_18384,c_14895]) ).

cnf(c_20292,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_18385,c_14895]) ).

cnf(c_20293,plain,
    multiply(inverse(sP4_iProver_def),sk_c7) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_20292,c_13862]) ).

cnf(c_20325,plain,
    ( multiply(inverse(sP4_iProver_def),sP13_iProver_def) = sP6_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_468,c_20293]) ).

cnf(c_20329,plain,
    ( inverse(inverse(sP4_iProver_def)) != sk_c7
    | sk_c6 != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_20293,c_453]) ).

cnf(c_20330,plain,
    multiply(inverse(inverse(sP4_iProver_def)),sP6_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_20293,c_13862]) ).

cnf(c_20684,plain,
    multiply(sk_c8,identity) = multiply(sP8_iProver_def,sP12_iProver_def),
    inference(superposition,[status(thm)],[c_14895,c_4703]) ).

cnf(c_20714,plain,
    multiply(sk_c7,identity) = multiply(sP14_iProver_def,sP15_iProver_def),
    inference(superposition,[status(thm)],[c_14895,c_4980]) ).

cnf(c_20722,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_20714,c_4705]) ).

cnf(c_20970,plain,
    multiply(sk_c7,identity) = multiply(sP7_iProver_def,sP9_iProver_def),
    inference(superposition,[status(thm)],[c_14895,c_4991]) ).

cnf(c_20979,plain,
    ( multiply(sk_c5,sk_c7) != sk_c8
    | inverse(inverse(sP7_iProver_def)) != sk_c7
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_14017,c_454]) ).

cnf(c_20980,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | inverse(inverse(sP7_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_14017,c_453]) ).

cnf(c_20981,plain,
    multiply(sk_c5,sP7_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14017,c_87]) ).

cnf(c_20987,plain,
    multiply(sk_c5,identity) = inverse(sP7_iProver_def),
    inference(superposition,[status(thm)],[c_14017,c_14895]) ).

cnf(c_20991,plain,
    ( inverse(inverse(sP7_iProver_def)) != sk_c7
    | sk_c6 != sP9_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20980,c_444]) ).

cnf(c_20995,plain,
    ( inverse(inverse(sP7_iProver_def)) != sk_c7
    | sk_c8 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20979,c_444]) ).

cnf(c_21003,plain,
    ( sk_c8 = sP15_iProver_def
    | identity = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_1211,c_20981]) ).

cnf(c_21102,plain,
    ( multiply(inverse(inverse(sP4_iProver_def)),sP6_iProver_def) = sP13_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_20325,c_13862]) ).

cnf(c_21147,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_20981,c_2470]) ).

cnf(c_21241,plain,
    ( multiply(sP14_iProver_def,sP15_iProver_def) = sP4_iProver_def
    | sk_c7 = sP7_iProver_def
    | identity = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_21003,c_996]) ).

cnf(c_21346,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c7 = sP7_iProver_def
    | identity = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_21241,c_4705]) ).

cnf(c_22047,plain,
    inverse(sP7_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_20987,c_14895]) ).

cnf(c_22880,plain,
    multiply(sk_c7,identity) = multiply(sP6_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_14895,c_5090]) ).

cnf(c_22973,plain,
    ( multiply(sk_c1,sk_c7) != sk_c6
    | inverse(inverse(sP14_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_14018,c_453]) ).

cnf(c_22974,plain,
    multiply(sk_c1,sP14_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14018,c_87]) ).

cnf(c_22979,plain,
    multiply(sk_c1,multiply(sP14_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_14018,c_13862]) ).

cnf(c_22980,plain,
    multiply(sk_c1,identity) = inverse(sP14_iProver_def),
    inference(superposition,[status(thm)],[c_14018,c_14895]) ).

cnf(c_23004,plain,
    ( inverse(inverse(sP14_iProver_def)) != sk_c7
    | sk_c6 != sP15_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_22973,c_450]) ).

cnf(c_23020,plain,
    ( sk_c7 = sP7_iProver_def
    | identity = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_991,c_22974]) ).

cnf(c_23127,plain,
    inverse(sP14_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_22980,c_14895]) ).

cnf(c_23358,plain,
    ( multiply(inverse(sP13_iProver_def),multiply(sP4_iProver_def,sP13_iProver_def)) = sP5_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_9639,c_13862]) ).

cnf(c_23902,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sk_c8
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_996,c_22979]) ).

cnf(c_23922,plain,
    ( multiply(sP15_iProver_def,sk_c8) = sk_c8
    | sk_c7 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23902,c_10594]) ).

cnf(c_24974,plain,
    multiply(sk_c8,identity) = multiply(sP10_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_14895,c_5104]) ).

cnf(c_24975,plain,
    multiply(sk_c8,sP6_iProver_def) = multiply(sP10_iProver_def,sk_c4),
    inference(superposition,[status(thm)],[c_20247,c_5104]) ).

cnf(c_25210,plain,
    multiply(sk_c2,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14019,c_87]) ).

cnf(c_25216,plain,
    multiply(sk_c2,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_14019,c_14895]) ).

cnf(c_25285,plain,
    inverse(sP8_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_25216,c_14895]) ).

cnf(c_25289,plain,
    ( sk_c8 = sP5_iProver_def
    | sk_c2 = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_8554,c_25285]) ).

cnf(c_25465,plain,
    ( multiply(inverse(sP13_iProver_def),multiply(sP4_iProver_def,sk_c3)) = sP13_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_9924,c_13862]) ).

cnf(c_26287,plain,
    ( multiply(sP6_iProver_def,sk_c8) = sP12_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_25289,c_447]) ).

cnf(c_26290,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_26287,c_928]) ).

cnf(c_26665,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = identity
    | identity = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_26290,c_928]) ).

cnf(c_26688,plain,
    ( sk_c7 = identity
    | identity = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_26665,c_4998]) ).

cnf(c_34640,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP7_iProver_def
    | identity = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_26688,c_456]) ).

cnf(c_39895,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP12_iProver_def
    | identity = sP7_iProver_def
    | identity = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_34640,c_447]) ).

cnf(c_39920,plain,
    ( identity = sP7_iProver_def
    | identity = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_39895,c_25210]) ).

cnf(c_40922,plain,
    ( sk_c7 != identity
    | sk_c8 != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_2245,c_18530]) ).

cnf(c_40923,plain,
    ( sk_c7 != identity
    | ~ sP0_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_40922]) ).

cnf(c_40965,plain,
    ( identity != sP13_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_472,c_40923]) ).

cnf(c_40966,plain,
    ( identity != sP13_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_40923]) ).

cnf(c_42087,plain,
    ( ~ sP0_iProver_def
    | identity != sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_40965,c_2258,c_40966,c_40965]) ).

cnf(c_42088,plain,
    ( identity != sP13_iProver_def
    | ~ sP0_iProver_def ),
    inference(renaming,[status(thm)],[c_42087]) ).

cnf(c_42093,plain,
    ( sP12_iProver_def != sP13_iProver_def
    | ~ sP0_iProver_def
    | identity = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_39920,c_42088]) ).

cnf(c_47946,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_42093,c_42088,c_25465,c_25285,c_25210,c_24975,c_24974,c_23922,c_23358,c_23127,c_23020,c_23004,c_22880,c_22047,c_21346,c_21147,c_21102,c_20995,c_20991,c_20981,c_20970,c_20722,c_20684,c_20330,c_20329,c_20293,c_20247,c_18969,c_18686,c_18386,c_18384,c_18332,c_17123,c_17042,c_17030,c_17027,c_15618,c_15421,c_14923,c_14922,c_14921,c_14920,c_14919,c_14918,c_14910,c_14909,c_14908,c_14906,c_14905,c_14904,c_14916,c_14828,c_13882,c_13022,c_11273,c_10829,c_10594,c_10592,c_10172,c_9359,c_7868,c_7827,c_6490,c_6450,c_3098,c_2317,c_2258,c_2139,c_2135,c_928,c_900,c_899,c_897,c_896,c_895,c_491,c_474,c_470,c_461,c_460,c_459,c_458,c_457,c_456,c_451,c_449,c_445,c_442,c_441]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : GRP324-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu Jun 20 11:16:24 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.75/2.01  % SZS status Started for theBenchmark.p
% 9.75/2.01  % SZS status Unsatisfiable for theBenchmark.p
% 9.75/2.01  
% 9.75/2.01  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.75/2.01  
% 9.75/2.01  ------  iProver source info
% 9.75/2.01  
% 9.75/2.01  git: date: 2024-06-12 09:56:46 +0000
% 9.75/2.01  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 9.75/2.01  git: non_committed_changes: false
% 9.75/2.01  
% 9.75/2.01  ------ Parsing...successful
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.75/2.01  
% 9.75/2.01  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.75/2.01  
% 9.75/2.01  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 9.75/2.01  ------ Proving...
% 9.75/2.01  ------ Problem Properties 
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  clauses                                 56
% 9.75/2.01  conjectures                             41
% 9.75/2.01  EPR                                     37
% 9.75/2.01  Horn                                    19
% 9.75/2.01  unary                                   15
% 9.75/2.01  binary                                  36
% 9.75/2.01  lits                                    106
% 9.75/2.01  lits eq                                 98
% 9.75/2.01  fd_pure                                 0
% 9.75/2.01  fd_pseudo                               0
% 9.75/2.01  fd_cond                                 0
% 9.75/2.01  fd_pseudo_cond                          0
% 9.75/2.01  AC symbols                              0
% 9.75/2.01  
% 9.75/2.01  ------ Schedule dynamic 5 is on 
% 9.75/2.01  
% 9.75/2.01  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  ------ 
% 9.75/2.01  Current options:
% 9.75/2.01  ------ 
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  ------ Proving...
% 9.75/2.01  
% 9.75/2.01  
% 9.75/2.01  % SZS status Unsatisfiable for theBenchmark.p
% 9.75/2.01  
% 9.75/2.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.75/2.01  
% 9.75/2.01  
%------------------------------------------------------------------------------