TSTP Solution File: GRP341-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP341-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 06:59:48 EDT 2024

% Result   : Unsatisfiable 10.09s 2.14s
% Output   : CNFRefutation 10.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c4,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

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

cnf(c_56,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c5,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_c5,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

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

cnf(c_66,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_72,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_74,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

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

cnf(c_78,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

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

cnf(c_84,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c7) != sk_c6
    | multiply(X3,sk_c6) != sk_c5
    | multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c5,sk_c6) != sk_c7
    | multiply(sk_c5,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6
    | inverse(sk_c5) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

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

cnf(c_87,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_428,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_84]) ).

cnf(c_429,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_84]) ).

cnf(c_430,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_84]) ).

cnf(c_431,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_84]) ).

cnf(c_432,negated_conjecture,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c5,sk_c6) != sk_c7
    | multiply(sk_c5,sk_c7) != sk_c6
    | inverse(sk_c5) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).

cnf(c_433,plain,
    multiply(sk_c6,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_434,plain,
    multiply(sk_c5,sk_c6) = sP5_iProver_def,
    definition ).

cnf(c_435,plain,
    multiply(sk_c5,sk_c7) = sP6_iProver_def,
    definition ).

cnf(c_436,plain,
    inverse(sk_c5) = sP7_iProver_def,
    definition ).

cnf(c_437,plain,
    multiply(sk_c2,sk_c5) = sP8_iProver_def,
    definition ).

cnf(c_438,plain,
    inverse(sk_c4) = sP9_iProver_def,
    definition ).

cnf(c_439,plain,
    multiply(sk_c4,sk_c6) = sP10_iProver_def,
    definition ).

cnf(c_440,plain,
    inverse(sk_c3) = sP11_iProver_def,
    definition ).

cnf(c_441,plain,
    multiply(sk_c3,sk_c7) = sP12_iProver_def,
    definition ).

cnf(c_442,plain,
    inverse(sk_c2) = sP13_iProver_def,
    definition ).

cnf(c_443,plain,
    multiply(sk_c1,sk_c6) = sP14_iProver_def,
    definition ).

cnf(c_444,plain,
    inverse(sk_c1) = sP15_iProver_def,
    definition ).

cnf(c_445,negated_conjecture,
    ( sP4_iProver_def != sk_c5
    | sP5_iProver_def != sk_c7
    | sP6_iProver_def != sk_c6
    | sP7_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_432,c_436,c_435,c_434,c_433]) ).

cnf(c_446,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_431]) ).

cnf(c_447,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_430]) ).

cnf(c_448,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_429]) ).

cnf(c_449,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_428]) ).

cnf(c_450,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_83,c_437]) ).

cnf(c_451,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_452,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_81,c_438]) ).

cnf(c_453,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP10_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_80,c_439]) ).

cnf(c_454,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_455,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_78,c_440]) ).

cnf(c_456,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP12_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_77,c_441]) ).

cnf(c_457,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_76,c_442]) ).

cnf(c_458,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_459,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_461,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_72]) ).

cnf(c_463,negated_conjecture,
    ( sP12_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_464,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_69,c_443]) ).

cnf(c_465,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_466,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_467,negated_conjecture,
    ( sP10_iProver_def = sk_c5
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_468,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_469,negated_conjecture,
    ( sP11_iProver_def = sk_c7
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_470,negated_conjecture,
    ( sP12_iProver_def = sk_c6
    | sP14_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_471,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62,c_444]) ).

cnf(c_472,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_473,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_475,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_476,negated_conjecture,
    ( sP11_iProver_def = sk_c7
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_477,negated_conjecture,
    ( sP12_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_479,negated_conjecture,
    ( sP4_iProver_def = sk_c5
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_480,negated_conjecture,
    ( sP4_iProver_def = sk_c5
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_481,negated_conjecture,
    ( sP4_iProver_def = sk_c5
    | sP10_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_482,negated_conjecture,
    ( sP4_iProver_def = sk_c5
    | sP7_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_485,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_486,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_791,plain,
    ( multiply(sk_c6,sP5_iProver_def) = sP4_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_457,c_433]) ).

cnf(c_846,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP5_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_458,c_434]) ).

cnf(c_847,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_458,c_433]) ).

cnf(c_875,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP5_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_459,c_434]) ).

cnf(c_876,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_459,c_433]) ).

cnf(c_919,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_461,c_433]) ).

cnf(c_921,plain,
    ( sk_c6 = sP7_iProver_def
    | sP8_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_461,c_454]) ).

cnf(c_961,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_433]) ).

cnf(c_999,plain,
    ( multiply(sk_c5,sP14_iProver_def) = sP6_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_464,c_435]) ).

cnf(c_1000,plain,
    ( multiply(sk_c6,sP14_iProver_def) = sP4_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_464,c_433]) ).

cnf(c_1181,plain,
    multiply(sP11_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_440,c_86]) ).

cnf(c_1182,plain,
    multiply(sP7_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_436,c_86]) ).

cnf(c_1183,plain,
    multiply(sP9_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_438,c_86]) ).

cnf(c_1184,plain,
    multiply(sP15_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_444,c_86]) ).

cnf(c_1185,plain,
    multiply(sP13_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_442,c_86]) ).

cnf(c_1210,plain,
    ( multiply(sk_c3,sP14_iProver_def) = sP12_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_466,c_441]) ).

cnf(c_1254,plain,
    ( multiply(sP10_iProver_def,sk_c6) = sP5_iProver_def
    | sk_c7 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_467,c_434]) ).

cnf(c_1325,plain,
    ( multiply(sk_c6,sP14_iProver_def) = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_469,c_433]) ).

cnf(c_1347,plain,
    ( sk_c7 != X0
    | sP7_iProver_def != X0
    | sk_c7 = sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_486]) ).

cnf(c_1348,plain,
    ( sk_c7 != sk_c6
    | sP7_iProver_def != sk_c6
    | sk_c7 = sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_1347]) ).

cnf(c_1388,plain,
    ( sk_c7 != X0
    | sP15_iProver_def != X0
    | sk_c7 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_486]) ).

cnf(c_1435,plain,
    ( sk_c7 = sP5_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_464]) ).

cnf(c_1484,plain,
    ( sk_c6 = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_472,c_465]) ).

cnf(c_1563,plain,
    ( sk_c6 = sP9_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_466]) ).

cnf(c_1568,plain,
    ( multiply(sk_c5,sP15_iProver_def) = sP6_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_435]) ).

cnf(c_1663,plain,
    ( sk_c6 = sP7_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_475,c_468]) ).

cnf(c_1766,plain,
    ( sk_c7 = sP11_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_476,c_469]) ).

cnf(c_1848,plain,
    ( sk_c6 = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_477,c_470]) ).

cnf(c_1991,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_479,c_437]) ).

cnf(c_2038,plain,
    ( multiply(sP7_iProver_def,sP4_iProver_def) = identity
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_1182]) ).

cnf(c_2039,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_437]) ).

cnf(c_2041,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP6_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_435]) ).

cnf(c_2090,plain,
    ( multiply(sk_c2,sP10_iProver_def) = sP8_iProver_def
    | sk_c5 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_481,c_437]) ).

cnf(c_2145,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP8_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_482,c_437]) ).

cnf(c_2199,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_485]) ).

cnf(c_2200,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_486]) ).

cnf(c_2349,plain,
    ( inverse(sk_c5) != sk_c7
    | sk_c7 != sP5_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_434,c_446]) ).

cnf(c_2350,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c7 != sP14_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_443,c_446]) ).

cnf(c_2351,plain,
    ( inverse(identity) != sk_c7
    | sk_c6 != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_85,c_446]) ).

cnf(c_2364,plain,
    ( sk_c7 != sP14_iProver_def
    | sk_c7 != sP15_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2350,c_444]) ).

cnf(c_2368,plain,
    ( sk_c7 != sP5_iProver_def
    | sk_c7 != sP7_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2349,c_436]) ).

cnf(c_2455,plain,
    ( inverse(sk_c5) != sk_c6
    | sk_c5 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_434,c_447]) ).

cnf(c_2457,plain,
    ( inverse(identity) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_85,c_447]) ).

cnf(c_2474,plain,
    ( sk_c6 != sP7_iProver_def
    | sk_c5 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2455,c_436]) ).

cnf(c_2553,plain,
    ( inverse(sk_c2) != sk_c6
    | sk_c6 != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_437,c_448]) ).

cnf(c_2554,plain,
    ( inverse(identity) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_85,c_448]) ).

cnf(c_2574,plain,
    ( sk_c6 != sP8_iProver_def
    | sk_c6 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2553,c_442]) ).

cnf(c_2671,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c6 != sP12_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_441,c_449]) ).

cnf(c_2698,plain,
    ( sk_c6 != sP12_iProver_def
    | sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2671,c_440]) ).

cnf(c_2831,plain,
    ( sk_c6 != sP6_iProver_def
    | sk_c6 != sP7_iProver_def
    | sk_c7 != sP5_iProver_def
    | sk_c6 = sP9_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_445]) ).

cnf(c_2835,plain,
    ( sk_c6 != sP6_iProver_def
    | sk_c6 != sP7_iProver_def
    | sk_c7 != sP5_iProver_def
    | sP4_iProver_def != sP10_iProver_def
    | sk_c7 = sP14_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_467,c_445]) ).

cnf(c_2970,plain,
    multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_433,c_87]) ).

cnf(c_2971,plain,
    multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP12_iProver_def,X0),
    inference(superposition,[status(thm)],[c_441,c_87]) ).

cnf(c_2972,plain,
    multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sP10_iProver_def,X0),
    inference(superposition,[status(thm)],[c_439,c_87]) ).

cnf(c_2973,plain,
    multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sP6_iProver_def,X0),
    inference(superposition,[status(thm)],[c_435,c_87]) ).

cnf(c_2974,plain,
    multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_434,c_87]) ).

cnf(c_2975,plain,
    multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sP14_iProver_def,X0),
    inference(superposition,[status(thm)],[c_443,c_87]) ).

cnf(c_2976,plain,
    multiply(sk_c2,multiply(sk_c5,X0)) = multiply(sP8_iProver_def,X0),
    inference(superposition,[status(thm)],[c_437,c_87]) ).

cnf(c_2978,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_86,c_87]) ).

cnf(c_2980,plain,
    multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1181,c_87]) ).

cnf(c_2981,plain,
    multiply(sP7_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1182,c_87]) ).

cnf(c_2982,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1183,c_87]) ).

cnf(c_2983,plain,
    multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1184,c_87]) ).

cnf(c_2984,plain,
    multiply(sP13_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1185,c_87]) ).

cnf(c_2990,plain,
    multiply(sP13_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2984,c_85]) ).

cnf(c_2991,plain,
    multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2983,c_85]) ).

cnf(c_2992,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2982,c_85]) ).

cnf(c_2993,plain,
    multiply(sP7_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2981,c_85]) ).

cnf(c_2994,plain,
    multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2980,c_85]) ).

cnf(c_3384,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP10_iProver_def
    | sP8_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_921,c_439]) ).

cnf(c_3605,plain,
    ( multiply(sk_c6,sP5_iProver_def) = sP4_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1435,c_433]) ).

cnf(c_3912,plain,
    ( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1563,c_439]) ).

cnf(c_4058,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1663,c_439]) ).

cnf(c_4063,plain,
    ( multiply(sk_c5,sP7_iProver_def) = sP5_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1663,c_434]) ).

cnf(c_4228,plain,
    ( sk_c7 != sk_c7
    | sP15_iProver_def != sk_c7
    | sk_c7 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_1388]) ).

cnf(c_4265,plain,
    ( multiply(sk_c3,sP11_iProver_def) = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1766,c_441]) ).

cnf(c_4409,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1848,c_433]) ).

cnf(c_4618,plain,
    multiply(sP13_iProver_def,sP8_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_437,c_2990]) ).

cnf(c_4621,plain,
    multiply(sP13_iProver_def,multiply(sP8_iProver_def,X0)) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_4618,c_87]) ).

cnf(c_4623,plain,
    multiply(sP15_iProver_def,sP14_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_443,c_2991]) ).

cnf(c_4626,plain,
    multiply(sP15_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_4623,c_87]) ).

cnf(c_4633,plain,
    multiply(sP7_iProver_def,sP6_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_435,c_2993]) ).

cnf(c_4634,plain,
    multiply(sP7_iProver_def,sP5_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_434,c_2993]) ).

cnf(c_4733,plain,
    multiply(sP7_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4633,c_87]) ).

cnf(c_5027,plain,
    multiply(sP11_iProver_def,sP12_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_441,c_2994]) ).

cnf(c_5415,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_2200]) ).

cnf(c_5416,plain,
    ( sk_c6 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_5415]) ).

cnf(c_6403,plain,
    ( multiply(sP7_iProver_def,sP5_iProver_def) = sP13_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_846,c_2993]) ).

cnf(c_6404,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6403,c_4634]) ).

cnf(c_6439,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_465,c_847]) ).

cnf(c_6466,plain,
    ( multiply(sP4_iProver_def,sP13_iProver_def) = sP5_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_875]) ).

cnf(c_6476,plain,
    ( multiply(sP7_iProver_def,sP5_iProver_def) = sP13_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_875,c_2993]) ).

cnf(c_6477,plain,
    ( sk_c6 = sP9_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6476,c_4634]) ).

cnf(c_6520,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_466,c_876]) ).

cnf(c_6829,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_468,c_919]) ).

cnf(c_7164,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_470,c_961]) ).

cnf(c_7237,plain,
    ( multiply(sP7_iProver_def,sP6_iProver_def) = sP14_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_999,c_2993]) ).

cnf(c_7238,plain,
    ( sk_c7 = sP5_iProver_def
    | sk_c7 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7237,c_4633]) ).

cnf(c_8227,plain,
    ( multiply(sP11_iProver_def,sP12_iProver_def) = sP14_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1210,c_2994]) ).

cnf(c_8228,plain,
    ( sk_c6 = sP9_iProver_def
    | sk_c7 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8227,c_5027]) ).

cnf(c_9606,plain,
    ( multiply(sP4_iProver_def,sP15_iProver_def) = sP6_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_1568]) ).

cnf(c_10951,plain,
    ( multiply(sP13_iProver_def,sP8_iProver_def) = sP4_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_1991,c_2990]) ).

cnf(c_10952,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c5 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10951,c_4618]) ).

cnf(c_11101,plain,
    ( inverse(sP4_iProver_def) != sk_c7
    | sk_c6 != sP6_iProver_def
    | ~ sP0_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_2041,c_449]) ).

cnf(c_12610,plain,
    multiply(sk_c4,sP4_iProver_def) = multiply(sP10_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_433,c_2972]) ).

cnf(c_12878,plain,
    multiply(sk_c5,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_433,c_2974]) ).

cnf(c_13065,plain,
    ( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7)
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_12878]) ).

cnf(c_13196,plain,
    ( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP14_iProver_def)
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1325,c_2975]) ).

cnf(c_13200,plain,
    ( multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sP14_iProver_def)
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1000,c_2975]) ).

cnf(c_13398,plain,
    multiply(sk_c2,sP6_iProver_def) = multiply(sP8_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_435,c_2976]) ).

cnf(c_13399,plain,
    multiply(sk_c2,sP5_iProver_def) = multiply(sP8_iProver_def,sk_c6),
    inference(superposition,[status(thm)],[c_434,c_2976]) ).

cnf(c_13579,plain,
    multiply(sP13_iProver_def,multiply(sP8_iProver_def,sk_c7)) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_13398,c_2990]) ).

cnf(c_14541,plain,
    ( multiply(sP7_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1663,c_3605]) ).

cnf(c_14565,plain,
    ( sk_c6 = sP4_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14541,c_4634]) ).

cnf(c_14803,plain,
    ( multiply(sk_c4,sP4_iProver_def) = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_14565,c_439]) ).

cnf(c_14827,plain,
    ( multiply(sP10_iProver_def,sk_c7) = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14803,c_12610]) ).

cnf(c_15741,plain,
    ( sk_c7 != sk_c7
    | sP14_iProver_def != sk_c7
    | sk_c7 = sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_5415]) ).

cnf(c_16533,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2978,c_85]) ).

cnf(c_16550,plain,
    multiply(inverse(sk_c6),sP4_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_433,c_16533]) ).

cnf(c_16552,plain,
    multiply(inverse(sk_c4),sP10_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_439,c_16533]) ).

cnf(c_16557,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_85,c_16533]) ).

cnf(c_16558,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_86,c_16533]) ).

cnf(c_16559,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_87,c_16533]) ).

cnf(c_16725,plain,
    multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2994,c_16533]) ).

cnf(c_16726,plain,
    multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2993,c_16533]) ).

cnf(c_16727,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2992,c_16533]) ).

cnf(c_16728,plain,
    multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2991,c_16533]) ).

cnf(c_16729,plain,
    multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_2990,c_16533]) ).

cnf(c_16740,plain,
    ( multiply(inverse(sk_c4),sP10_iProver_def) = sP7_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_4058,c_16533]) ).

cnf(c_16741,plain,
    ( multiply(inverse(sk_c4),sP10_iProver_def) = sP7_iProver_def
    | sP8_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_3384,c_16533]) ).

cnf(c_16811,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_16533,c_16533]) ).

cnf(c_17677,plain,
    ( inverse(inverse(identity)) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_16557,c_447]) ).

cnf(c_17682,plain,
    ( inverse(inverse(identity)) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_16557,c_448]) ).

cnf(c_17747,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_16558,c_16811]) ).

cnf(c_17755,plain,
    multiply(sk_c5,sk_c7) = multiply(sP6_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2973]) ).

cnf(c_17756,plain,
    multiply(sk_c3,sk_c7) = multiply(sP12_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2971]) ).

cnf(c_17757,plain,
    multiply(sk_c6,sk_c7) = multiply(sP4_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2970]) ).

cnf(c_17760,plain,
    multiply(sk_c1,sk_c6) = multiply(sP14_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2975]) ).

cnf(c_17761,plain,
    multiply(sk_c5,sk_c6) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2974]) ).

cnf(c_17762,plain,
    multiply(sk_c4,sk_c6) = multiply(sP10_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2972]) ).

cnf(c_17763,plain,
    multiply(sk_c7,identity) = multiply(sP7_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_17747,c_4733]) ).

cnf(c_17765,plain,
    multiply(sk_c6,identity) = multiply(sP15_iProver_def,sP14_iProver_def),
    inference(superposition,[status(thm)],[c_17747,c_4626]) ).

cnf(c_17766,plain,
    multiply(sk_c5,identity) = multiply(sP13_iProver_def,sP8_iProver_def),
    inference(superposition,[status(thm)],[c_17747,c_4621]) ).

cnf(c_17767,plain,
    multiply(sk_c2,sk_c5) = multiply(sP8_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_2976]) ).

cnf(c_17773,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_17747,c_16557]) ).

cnf(c_17774,plain,
    multiply(sP8_iProver_def,identity) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17767,c_437]) ).

cnf(c_17776,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_17765,c_4623]) ).

cnf(c_17778,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_17763,c_4633]) ).

cnf(c_17779,plain,
    multiply(sP10_iProver_def,identity) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17762,c_439]) ).

cnf(c_17780,plain,
    multiply(sP5_iProver_def,identity) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17761,c_434]) ).

cnf(c_17781,plain,
    multiply(sP14_iProver_def,identity) = sP14_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17760,c_443]) ).

cnf(c_17784,plain,
    multiply(sP4_iProver_def,identity) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17757,c_433]) ).

cnf(c_17785,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17756,c_441]) ).

cnf(c_17786,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17755,c_435]) ).

cnf(c_17829,plain,
    ( sk_c7 != sP14_iProver_def
    | ~ sP3_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_2364]) ).

cnf(c_17831,plain,
    ( sk_c7 != sP14_iProver_def
    | ~ sP3_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_2364]) ).

cnf(c_17928,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(inverse(sP11_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_16725,c_446]) ).

cnf(c_17929,plain,
    multiply(sk_c3,sP11_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_16725,c_86]) ).

cnf(c_17932,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | inverse(inverse(sP11_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_16725,c_449]) ).

cnf(c_17934,plain,
    multiply(sk_c3,multiply(sP11_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_16725,c_16533]) ).

cnf(c_17935,plain,
    multiply(sk_c3,identity) = inverse(sP11_iProver_def),
    inference(superposition,[status(thm)],[c_16725,c_17747]) ).

cnf(c_17939,plain,
    ( inverse(inverse(sP11_iProver_def)) != sk_c7
    | sk_c6 != sP12_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17932,c_441]) ).

cnf(c_17949,plain,
    ( identity = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_4265,c_17929]) ).

cnf(c_17989,plain,
    ( ~ sP3_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_17829,c_8228,c_17829]) ).

cnf(c_18010,plain,
    ( ~ sP3_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_17831,c_7238,c_17831]) ).

cnf(c_18028,plain,
    ( inverse(sP12_iProver_def) = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_17949,c_17773]) ).

cnf(c_18030,plain,
    ( multiply(sP12_iProver_def,X0) = X0
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_17949,c_85]) ).

cnf(c_18693,plain,
    ( sk_c7 = sP4_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_18030,c_4409]) ).

cnf(c_18746,plain,
    inverse(sP11_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_17935,c_17747]) ).

cnf(c_18750,plain,
    multiply(sk_c3,identity) = sk_c3,
    inference(superposition,[status(thm)],[c_1181,c_17934]) ).

cnf(c_18880,plain,
    ( multiply(sk_c5,sP4_iProver_def) = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_18693,c_435]) ).

cnf(c_18891,plain,
    ( multiply(sP5_iProver_def,sk_c7) = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18880,c_12878]) ).

cnf(c_20146,plain,
    ( multiply(sk_c5,sk_c6) != sk_c5
    | inverse(inverse(sP7_iProver_def)) != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_16726,c_447]) ).

cnf(c_20148,plain,
    multiply(sk_c5,sP7_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_16726,c_86]) ).

cnf(c_20152,plain,
    ( multiply(sk_c5,sk_c5) != sk_c6
    | inverse(inverse(sP7_iProver_def)) != sk_c6
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_16726,c_448]) ).

cnf(c_20153,plain,
    multiply(sk_c5,multiply(sP7_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_16726,c_16533]) ).

cnf(c_20154,plain,
    multiply(sk_c5,identity) = inverse(sP7_iProver_def),
    inference(superposition,[status(thm)],[c_16726,c_17747]) ).

cnf(c_20170,plain,
    ( identity = sP5_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_4063,c_20148]) ).

cnf(c_21404,plain,
    multiply(sk_c2,identity) = multiply(sP8_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_20148,c_2976]) ).

cnf(c_21440,plain,
    ( multiply(sP5_iProver_def,X0) = X0
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_20170,c_85]) ).

cnf(c_21487,plain,
    inverse(sP7_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_20154,c_17747]) ).

cnf(c_21688,plain,
    multiply(sP8_iProver_def,sP7_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_21404,c_17747]) ).

cnf(c_21689,plain,
    multiply(inverse(sP8_iProver_def),sk_c2) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_21688,c_16533]) ).

cnf(c_21694,plain,
    multiply(inverse(sP8_iProver_def),multiply(sk_c2,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_21689,c_87]) ).

cnf(c_22205,plain,
    multiply(sk_c4,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_16727,c_86]) ).

cnf(c_22209,plain,
    ( multiply(sk_c4,sk_c5) != sk_c6
    | inverse(inverse(sP9_iProver_def)) != sk_c6
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_16727,c_448]) ).

cnf(c_22211,plain,
    multiply(sk_c4,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_16727,c_17747]) ).

cnf(c_22226,plain,
    ( identity = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_3912,c_22205]) ).

cnf(c_23587,plain,
    ( multiply(sP10_iProver_def,X0) = X0
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_22226,c_85]) ).

cnf(c_24039,plain,
    inverse(sP9_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_22211,c_17747]) ).

cnf(c_24420,plain,
    ( sk_c7 = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_21440,c_18891]) ).

cnf(c_24784,plain,
    ( multiply(sk_c3,sP6_iProver_def) = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_24420,c_441]) ).

cnf(c_25045,plain,
    multiply(sk_c1,sP15_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_16728,c_86]) ).

cnf(c_25048,plain,
    ( multiply(sk_c1,sk_c7) != sk_c6
    | inverse(inverse(sP15_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_16728,c_449]) ).

cnf(c_25050,plain,
    multiply(sk_c1,multiply(sP15_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_16728,c_16533]) ).

cnf(c_25051,plain,
    multiply(sk_c1,identity) = inverse(sP15_iProver_def),
    inference(superposition,[status(thm)],[c_16728,c_17747]) ).

cnf(c_25439,plain,
    ( sk_c7 = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_23587,c_14827]) ).

cnf(c_25560,plain,
    inverse(sP15_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_25051,c_17747]) ).

cnf(c_25692,plain,
    multiply(sk_c1,identity) = sk_c1,
    inference(superposition,[status(thm)],[c_1184,c_25050]) ).

cnf(c_25911,plain,
    ( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_25439,c_435]) ).

cnf(c_26580,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(inverse(sP13_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_16729,c_446]) ).

cnf(c_26581,plain,
    multiply(sk_c2,sP13_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_16729,c_86]) ).

cnf(c_26586,plain,
    multiply(sk_c2,multiply(sP13_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_16729,c_16533]) ).

cnf(c_26587,plain,
    multiply(sk_c2,identity) = inverse(sP13_iProver_def),
    inference(superposition,[status(thm)],[c_16729,c_17747]) ).

cnf(c_26878,plain,
    inverse(sP13_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_26587,c_17747]) ).

cnf(c_26907,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_7164,c_26586]) ).

cnf(c_26908,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_6829,c_26586]) ).

cnf(c_26909,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_6520,c_26586]) ).

cnf(c_26910,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP14_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_6439,c_26586]) ).

cnf(c_27066,plain,
    ( multiply(sP12_iProver_def,sP12_iProver_def) = identity
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_18028,c_86]) ).

cnf(c_27159,plain,
    multiply(inverse(sP8_iProver_def),sP8_iProver_def) = multiply(sP7_iProver_def,sk_c5),
    inference(superposition,[status(thm)],[c_437,c_21694]) ).

cnf(c_27172,plain,
    multiply(inverse(sP8_iProver_def),multiply(sP8_iProver_def,sk_c7)) = multiply(sP7_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_13398,c_21694]) ).

cnf(c_27173,plain,
    multiply(inverse(sP8_iProver_def),multiply(sP8_iProver_def,sk_c6)) = multiply(sP7_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_13399,c_21694]) ).

cnf(c_27174,plain,
    multiply(inverse(sP8_iProver_def),sk_c2) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_17747,c_21694]) ).

cnf(c_27175,plain,
    multiply(inverse(sP8_iProver_def),identity) = multiply(sP7_iProver_def,sP13_iProver_def),
    inference(superposition,[status(thm)],[c_26581,c_21694]) ).

cnf(c_27180,plain,
    multiply(inverse(sP8_iProver_def),sP8_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_27159,c_1182]) ).

cnf(c_27181,plain,
    multiply(inverse(sP8_iProver_def),multiply(sP8_iProver_def,sk_c6)) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_27173,c_4634]) ).

cnf(c_27182,plain,
    multiply(inverse(sP8_iProver_def),multiply(sP8_iProver_def,sk_c7)) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_27172,c_4633]) ).

cnf(c_27238,plain,
    ( sk_c7 != sP7_iProver_def
    | ~ sP3_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2368,c_2368,c_18010]) ).

cnf(c_32935,plain,
    ( sk_c7 != sP11_iProver_def
    | sP6_iProver_def != sP12_iProver_def
    | ~ sP0_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1484,c_2698]) ).

cnf(c_33833,plain,
    ( multiply(sP4_iProver_def,sP4_iProver_def) = multiply(sP5_iProver_def,sP15_iProver_def)
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_13065]) ).

cnf(c_34372,plain,
    multiply(sP7_iProver_def,sP13_iProver_def) = inverse(sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_27175,c_17747]) ).

cnf(c_34379,plain,
    multiply(sk_c5,inverse(sP8_iProver_def)) = sP13_iProver_def,
    inference(superposition,[status(thm)],[c_34372,c_20153]) ).

cnf(c_34479,plain,
    multiply(sP8_iProver_def,inverse(sP8_iProver_def)) = multiply(sk_c2,sP13_iProver_def),
    inference(superposition,[status(thm)],[c_34379,c_2976]) ).

cnf(c_34482,plain,
    multiply(sP8_iProver_def,inverse(sP8_iProver_def)) = identity,
    inference(light_normalisation,[status(thm)],[c_34479,c_26581]) ).

cnf(c_34528,plain,
    multiply(inverse(sP8_iProver_def),identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_34482,c_16533]) ).

cnf(c_41260,plain,
    ( sk_c6 != sk_c7
    | ~ sP3_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2351,c_468,c_475,c_1348,c_2199,c_2364,c_4228,c_5416,c_15741,c_27238]) ).

cnf(c_41267,plain,
    ( sk_c6 != sP6_iProver_def
    | ~ sP3_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_24420,c_41260]) ).

cnf(c_41825,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2457,c_17773]) ).

cnf(c_41948,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2554,c_17773]) ).

cnf(c_43434,plain,
    multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP12_iProver_def)) = sk_c7,
    inference(superposition,[status(thm)],[c_441,c_16559]) ).

cnf(c_43436,plain,
    multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sk_c7,
    inference(superposition,[status(thm)],[c_435,c_16559]) ).

cnf(c_43461,plain,
    ( multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,sP5_iProver_def)) = sk_c6
    | sk_c7 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1254,c_16559]) ).

cnf(c_43557,plain,
    multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sk_c5,
    inference(superposition,[status(thm)],[c_1182,c_16559]) ).

cnf(c_43588,plain,
    ( multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,identity)) = sP4_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_2038,c_16559]) ).

cnf(c_43717,plain,
    ( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP5_iProver_def)) = sP13_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_6466,c_16559]) ).

cnf(c_43738,plain,
    ( multiply(inverse(multiply(X0,sP4_iProver_def)),multiply(X0,sP6_iProver_def)) = sP15_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_9606,c_16559]) ).

cnf(c_43751,plain,
    ( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sk_c7
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_13065,c_16559]) ).

cnf(c_43767,plain,
    ( multiply(inverse(multiply(X0,sP5_iProver_def)),multiply(X0,multiply(sP4_iProver_def,sP4_iProver_def))) = sP15_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_33833,c_16559]) ).

cnf(c_43799,plain,
    ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP12_iProver_def)) = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_24784,c_16559]) ).

cnf(c_43805,plain,
    ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP6_iProver_def)) = sP10_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_25911,c_16559]) ).

cnf(c_43809,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),multiply(X0,identity)) = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_27066,c_16559]) ).

cnf(c_43810,plain,
    multiply(inverse(multiply(X0,sP7_iProver_def)),multiply(X0,inverse(sP8_iProver_def))) = sP13_iProver_def,
    inference(superposition,[status(thm)],[c_34372,c_16559]) ).

cnf(c_43824,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,identity)) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_34482,c_16559]) ).

cnf(c_43849,plain,
    multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sk_c5,
    inference(light_normalisation,[status(thm)],[c_43557,c_17747]) ).

cnf(c_43892,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),X0) = inverse(sP8_iProver_def),
    inference(light_normalisation,[status(thm)],[c_43824,c_17747]) ).

cnf(c_43957,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),X0) = sP12_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_43809,c_17747]) ).

cnf(c_44249,plain,
    ( multiply(inverse(multiply(X0,sP7_iProver_def)),X0) = sP4_iProver_def
    | sk_c6 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_43588,c_17747]) ).

cnf(c_49693,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_44249,c_43957,c_43892,c_43849,c_43810,c_43805,c_43799,c_43767,c_43751,c_43738,c_43717,c_43461,c_43436,c_43434,c_41948,c_41825,c_41267,c_34528,c_34482,c_34479,c_34379,c_34372,c_32935,c_27182,c_27181,c_27180,c_27174,c_27173,c_27172,c_26910,c_26909,c_26908,c_26907,c_26878,c_26580,c_25692,c_25560,c_25048,c_25045,c_24039,c_22209,c_22205,c_21689,c_21688,c_21487,c_20152,c_20146,c_20154,c_20148,c_18750,c_18746,c_17989,c_17939,c_17928,c_17929,c_17786,c_17785,c_17784,c_17781,c_17780,c_17779,c_17778,c_17776,c_17774,c_17767,c_17766,c_17765,c_17762,c_17761,c_17760,c_17757,c_17756,c_17755,c_17773,c_17747,c_17682,c_17677,c_16741,c_16740,c_16552,c_16550,c_14565,c_13579,c_13398,c_13200,c_13196,c_11101,c_10952,c_6477,c_6466,c_6404,c_2835,c_2831,c_2698,c_2574,c_2474,c_2145,c_2090,c_2039,c_1848,c_1766,c_1563,c_1484,c_1435,c_791,c_475,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_445,c_444,c_442,c_440,c_438,c_436,c_86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP341-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu Jun 20 12:36:54 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.09/2.14  % SZS status Started for theBenchmark.p
% 10.09/2.14  % SZS status Unsatisfiable for theBenchmark.p
% 10.09/2.14  
% 10.09/2.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.09/2.14  
% 10.09/2.14  ------  iProver source info
% 10.09/2.14  
% 10.09/2.14  git: date: 2024-06-12 09:56:46 +0000
% 10.09/2.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.09/2.14  git: non_committed_changes: false
% 10.09/2.14  
% 10.09/2.14  ------ Parsing...successful
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.09/2.14  
% 10.09/2.14  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.09/2.14  
% 10.09/2.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.09/2.14  ------ Proving...
% 10.09/2.14  ------ Problem Properties 
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  clauses                                 55
% 10.09/2.14  conjectures                             40
% 10.09/2.14  EPR                                     36
% 10.09/2.14  Horn                                    19
% 10.09/2.14  unary                                   15
% 10.09/2.14  binary                                  35
% 10.09/2.14  lits                                    105
% 10.09/2.14  lits eq                                 97
% 10.09/2.14  fd_pure                                 0
% 10.09/2.14  fd_pseudo                               0
% 10.09/2.14  fd_cond                                 0
% 10.09/2.14  fd_pseudo_cond                          0
% 10.09/2.14  AC symbols                              0
% 10.09/2.14  
% 10.09/2.14  ------ Schedule dynamic 5 is on 
% 10.09/2.14  
% 10.09/2.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  ------ 
% 10.09/2.14  Current options:
% 10.09/2.14  ------ 
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  ------ Proving...
% 10.09/2.14  
% 10.09/2.14  
% 10.09/2.14  % SZS status Unsatisfiable for theBenchmark.p
% 10.09/2.14  
% 10.09/2.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.09/2.15  
% 10.09/2.15  
%------------------------------------------------------------------------------