TSTP Solution File: GRP354-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP354-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 06:59:52 EDT 2024

% Result   : Unsatisfiable 17.45s 3.17s
% Output   : CNFRefutation 17.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | multiply(sk_c9,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | multiply(sk_c4,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | inverse(sk_c3) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( inverse(sk_c3) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( inverse(sk_c9) = sk_c7
    | inverse(sk_c3) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( inverse(sk_c9) = sk_c7
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c9
    | inverse(sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( inverse(sk_c9) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_86,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | multiply(sk_c2,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

cnf(c_87,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

cnf(c_90,negated_conjecture,
    ( inverse(sk_c3) = sk_c9
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

cnf(c_91,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

cnf(c_92,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

cnf(c_93,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

cnf(c_94,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

cnf(c_95,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

cnf(c_97,negated_conjecture,
    ( multiply(X0,X1) != sk_c8
    | multiply(X1,sk_c7) != sk_c8
    | multiply(X2,sk_c9) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c9) != sk_c8
    | multiply(X5,sk_c8) != sk_c9
    | multiply(sk_c8,sk_c7) != sk_c9
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(X0) != X1
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c7
    | inverse(X4) != sk_c9
    | inverse(X5) != sk_c9
    | inverse(sk_c9) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).

cnf(c_98,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_99,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_100,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_101,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | multiply(X1,sk_c9) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c9) != sk_c8
    | multiply(X4,sk_c8) != sk_c9
    | multiply(sk_c8,sk_c7) != sk_c9
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(X1) != sk_c9
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c9
    | inverse(X4) != sk_c9
    | inverse(sk_c9) != sk_c7 ),
    inference(unflattening,[status(thm)],[c_97]) ).

cnf(c_550,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_101]) ).

cnf(c_551,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c8
    | inverse(X0) != sk_c9
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_101]) ).

cnf(c_552,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_101]) ).

cnf(c_553,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_101]) ).

cnf(c_554,negated_conjecture,
    ( multiply(sk_c8,sk_c7) != sk_c9
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(sk_c9) != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).

cnf(c_555,plain,
    multiply(sk_c8,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_556,plain,
    multiply(sk_c9,sk_c7) = sP5_iProver_def,
    definition ).

cnf(c_557,plain,
    inverse(sk_c9) = sP6_iProver_def,
    definition ).

cnf(c_558,plain,
    multiply(sk_c6,sk_c7) = sP7_iProver_def,
    definition ).

cnf(c_559,plain,
    inverse(sk_c2) = sP8_iProver_def,
    definition ).

cnf(c_560,plain,
    inverse(sk_c5) = sP9_iProver_def,
    definition ).

cnf(c_561,plain,
    multiply(sk_c5,sk_c6) = sP10_iProver_def,
    definition ).

cnf(c_562,plain,
    multiply(sk_c4,sk_c8) = sP11_iProver_def,
    definition ).

cnf(c_563,plain,
    inverse(sk_c4) = sP12_iProver_def,
    definition ).

cnf(c_564,plain,
    inverse(sk_c3) = sP13_iProver_def,
    definition ).

cnf(c_565,plain,
    multiply(sk_c3,sk_c9) = sP14_iProver_def,
    definition ).

cnf(c_566,plain,
    multiply(sk_c2,sk_c7) = sP15_iProver_def,
    definition ).

cnf(c_567,plain,
    inverse(sk_c1) = sP16_iProver_def,
    definition ).

cnf(c_568,plain,
    multiply(sk_c1,sk_c9) = sP17_iProver_def,
    definition ).

cnf(c_569,negated_conjecture,
    ( sP4_iProver_def != sk_c9
    | sP5_iProver_def != sk_c8
    | sP6_iProver_def != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_554,c_557,c_556,c_555]) ).

cnf(c_570,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_553]) ).

cnf(c_571,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_552]) ).

cnf(c_573,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c8
    | inverse(X0) != sk_c9
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_551]) ).

cnf(c_574,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_550]) ).

cnf(c_576,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_95,c_560]) ).

cnf(c_577,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_94,c_561]) ).

cnf(c_578,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP11_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_93,c_562]) ).

cnf(c_579,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP12_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_92,c_563]) ).

cnf(c_580,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP8_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_91]) ).

cnf(c_581,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP13_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_90,c_564]) ).

cnf(c_582,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP14_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_89,c_565]) ).

cnf(c_584,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_87]) ).

cnf(c_585,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_86]) ).

cnf(c_588,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_83]) ).

cnf(c_592,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_593,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_78]) ).

cnf(c_594,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP11_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_595,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP12_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_76]) ).

cnf(c_596,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP6_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_597,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP13_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_598,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP14_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_601,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_604,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_605,negated_conjecture,
    ( sP13_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_606,negated_conjecture,
    ( sP14_iProver_def = sk_c8
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_608,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_609,negated_conjecture,
    ( sP10_iProver_def = sk_c8
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_612,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_613,negated_conjecture,
    ( sP13_iProver_def = sk_c9
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_614,negated_conjecture,
    ( sP14_iProver_def = sk_c8
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_616,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_617,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_618,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP11_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_619,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP12_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_620,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP5_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_1068,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_584,c_561]) ).

cnf(c_1069,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_576,c_561]) ).

cnf(c_1076,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_588,c_562]) ).

cnf(c_1116,plain,
    multiply(sP13_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_564,c_99]) ).

cnf(c_1117,plain,
    multiply(sP12_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_563,c_99]) ).

cnf(c_1118,plain,
    multiply(sP9_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_560,c_99]) ).

cnf(c_1119,plain,
    multiply(sP16_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_567,c_99]) ).

cnf(c_1120,plain,
    multiply(sP6_iProver_def,sk_c9) = identity,
    inference(superposition,[status(thm)],[c_557,c_99]) ).

cnf(c_1121,plain,
    multiply(sP8_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_559,c_99]) ).

cnf(c_1177,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_592,c_561]) ).

cnf(c_1196,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP5_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_556]) ).

cnf(c_1203,plain,
    ( sk_c8 = sP10_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_577]) ).

cnf(c_1262,plain,
    ( sk_c9 = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_594,c_578]) ).

cnf(c_1306,plain,
    ( sk_c9 = sP12_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_579]) ).

cnf(c_1343,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP5_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_556]) ).

cnf(c_1347,plain,
    ( sk_c8 = sP5_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_580]) ).

cnf(c_1395,plain,
    ( sk_c9 = sP13_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_597,c_581]) ).

cnf(c_1435,plain,
    ( sk_c8 = sP14_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_598,c_582]) ).

cnf(c_1673,plain,
    ( sk_c9 = sP16_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_601]) ).

cnf(c_1744,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
    | sk_c9 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_605,c_568]) ).

cnf(c_1775,plain,
    ( multiply(sk_c4,sP14_iProver_def) = sP11_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_606,c_562]) ).

cnf(c_1917,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
    | sk_c8 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_608,c_561]) ).

cnf(c_1948,plain,
    ( sk_c8 = sP10_iProver_def
    | sP15_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_609,c_585]) ).

cnf(c_2144,plain,
    ( sk_c8 = sP5_iProver_def
    | sP15_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_612,c_588]) ).

cnf(c_2227,plain,
    ( multiply(sk_c4,sP17_iProver_def) = sP11_iProver_def
    | sk_c9 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_613,c_562]) ).

cnf(c_2328,plain,
    ( multiply(sk_c4,sP17_iProver_def) = sP11_iProver_def
    | sk_c8 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_614,c_562]) ).

cnf(c_2505,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_616,c_561]) ).

cnf(c_2742,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP17_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_619,c_568]) ).

cnf(c_2745,plain,
    ( inverse(sP12_iProver_def) = sP6_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_619,c_557]) ).

cnf(c_2817,plain,
    ( sk_c9 = sP4_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_620,c_617]) ).

cnf(c_2829,plain,
    ( multiply(sk_c4,sP5_iProver_def) = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_620,c_562]) ).

cnf(c_3151,plain,
    ( inverse(sk_c4) != sk_c9
    | sk_c9 != sP11_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_562,c_571]) ).

cnf(c_3179,plain,
    ( sk_c9 != sP11_iProver_def
    | sk_c9 != sP12_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3151,c_563]) ).

cnf(c_3400,plain,
    ( inverse(sk_c3) != sk_c9
    | sk_c8 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_565,c_573]) ).

cnf(c_3401,plain,
    ( inverse(sk_c1) != sk_c9
    | sk_c8 != sP17_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_568,c_573]) ).

cnf(c_3417,plain,
    ( sk_c8 != sP17_iProver_def
    | sk_c9 != sP16_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3401,c_567]) ).

cnf(c_3421,plain,
    ( sk_c8 != sP14_iProver_def
    | sk_c9 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3400,c_564]) ).

cnf(c_3474,plain,
    ( inverse(sk_c9) != sk_c7
    | sk_c8 != sP5_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_556,c_574]) ).

cnf(c_3476,plain,
    ( inverse(sk_c2) != sk_c7
    | sk_c8 != sP15_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_566,c_574]) ).

cnf(c_3496,plain,
    ( sk_c8 != sP15_iProver_def
    | sk_c7 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3476,c_559]) ).

cnf(c_3503,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c7 != sP6_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3474,c_557]) ).

cnf(c_3868,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c7 != sP6_iProver_def
    | sP4_iProver_def != sP11_iProver_def
    | sk_c9 = sP4_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_618,c_569]) ).

cnf(c_4143,plain,
    multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_555,c_100]) ).

cnf(c_4145,plain,
    multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_556,c_100]) ).

cnf(c_4147,plain,
    multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sP10_iProver_def,X0),
    inference(superposition,[status(thm)],[c_561,c_100]) ).

cnf(c_4149,plain,
    multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sP17_iProver_def,X0),
    inference(superposition,[status(thm)],[c_568,c_100]) ).

cnf(c_4150,plain,
    multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP15_iProver_def,X0),
    inference(superposition,[status(thm)],[c_566,c_100]) ).

cnf(c_4152,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_99,c_100]) ).

cnf(c_4155,plain,
    multiply(sP13_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1116,c_100]) ).

cnf(c_4156,plain,
    multiply(sP12_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1117,c_100]) ).

cnf(c_4157,plain,
    multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1118,c_100]) ).

cnf(c_4158,plain,
    multiply(sP16_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1119,c_100]) ).

cnf(c_4159,plain,
    multiply(sP6_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1120,c_100]) ).

cnf(c_4160,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1121,c_100]) ).

cnf(c_4165,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4160,c_98]) ).

cnf(c_4166,plain,
    multiply(sP6_iProver_def,multiply(sk_c9,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4159,c_98]) ).

cnf(c_4167,plain,
    multiply(sP16_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4158,c_98]) ).

cnf(c_4168,plain,
    multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4157,c_98]) ).

cnf(c_4169,plain,
    multiply(sP12_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4156,c_98]) ).

cnf(c_4170,plain,
    multiply(sP13_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_4155,c_98]) ).

cnf(c_4312,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c7 != sP6_iProver_def
    | sP4_iProver_def != sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_1262,c_569]) ).

cnf(c_4445,plain,
    ( inverse(sP12_iProver_def) = sP6_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1306,c_557]) ).

cnf(c_4517,plain,
    ( sP5_iProver_def = sP10_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1347,c_1203]) ).

cnf(c_4534,plain,
    ( multiply(sk_c4,sP5_iProver_def) = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1347,c_562]) ).

cnf(c_4643,plain,
    ( sP6_iProver_def = sP8_iProver_def
    | sP12_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1395,c_1306]) ).

cnf(c_4654,plain,
    ( multiply(sk_c3,sP13_iProver_def) = sP14_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1395,c_565]) ).

cnf(c_4789,plain,
    ( multiply(sP14_iProver_def,sk_c7) = sP4_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1435,c_555]) ).

cnf(c_4893,plain,
    ( inverse(sP16_iProver_def) = sP6_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1673,c_557]) ).

cnf(c_5972,plain,
    ( sP5_iProver_def = sP10_iProver_def
    | sP15_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_2144,c_1948]) ).

cnf(c_7702,plain,
    multiply(sP8_iProver_def,sP15_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_566,c_4165]) ).

cnf(c_7705,plain,
    multiply(sP8_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_7702,c_100]) ).

cnf(c_7707,plain,
    multiply(sP6_iProver_def,sP5_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_556,c_4166]) ).

cnf(c_7724,plain,
    ( multiply(sP6_iProver_def,multiply(sP16_iProver_def,X0)) = X0
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1673,c_4166]) ).

cnf(c_7904,plain,
    multiply(sP6_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_7707,c_100]) ).

cnf(c_7906,plain,
    multiply(sP16_iProver_def,sP17_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_568,c_4167]) ).

cnf(c_7911,plain,
    multiply(sP9_iProver_def,sP10_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_561,c_4168]) ).

cnf(c_7914,plain,
    multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_7911,c_100]) ).

cnf(c_8656,plain,
    multiply(sP12_iProver_def,sP11_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_562,c_4169]) ).

cnf(c_8659,plain,
    multiply(sP12_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_8656,c_100]) ).

cnf(c_10467,plain,
    ( multiply(sP16_iProver_def,sP15_iProver_def) = sk_c9
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_5972,c_7906]) ).

cnf(c_10713,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP15_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1076,c_4169]) ).

cnf(c_10714,plain,
    ( sk_c8 = sP5_iProver_def
    | sk_c8 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10713,c_8656]) ).

cnf(c_15164,plain,
    ( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
    | sk_c9 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1744,c_4167]) ).

cnf(c_15165,plain,
    ( sk_c9 = sP13_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15164,c_7906]) ).

cnf(c_15552,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP14_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1775,c_4169]) ).

cnf(c_15553,plain,
    ( sk_c8 = sP14_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15552,c_8656]) ).

cnf(c_16454,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP17_iProver_def
    | sk_c9 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_2227,c_4169]) ).

cnf(c_16455,plain,
    ( sk_c8 = sP17_iProver_def
    | sk_c9 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16454,c_8656]) ).

cnf(c_16727,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP17_iProver_def
    | sk_c8 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_2328,c_4169]) ).

cnf(c_16728,plain,
    ( sk_c8 = sP14_iProver_def
    | sk_c8 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16727,c_8656]) ).

cnf(c_17283,plain,
    ( multiply(sP16_iProver_def,sP17_iProver_def) = sP12_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_2742,c_4167]) ).

cnf(c_17284,plain,
    ( sk_c9 = sP4_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17283,c_7906]) ).

cnf(c_19437,plain,
    multiply(sk_c5,sP7_iProver_def) = multiply(sP10_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_558,c_4147]) ).

cnf(c_19653,plain,
    multiply(sk_c1,sP5_iProver_def) = multiply(sP17_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_556,c_4149]) ).

cnf(c_23764,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_4152,c_98]) ).

cnf(c_23801,plain,
    multiply(inverse(sk_c4),sP11_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_562,c_23764]) ).

cnf(c_23803,plain,
    multiply(inverse(sk_c6),sP7_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_558,c_23764]) ).

cnf(c_23807,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_99,c_23764]) ).

cnf(c_23853,plain,
    ( multiply(inverse(sk_c4),sP11_iProver_def) = sP15_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1076,c_23764]) ).

cnf(c_23950,plain,
    ( multiply(inverse(sk_c4),sP11_iProver_def) = sP5_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_4534,c_23764]) ).

cnf(c_24038,plain,
    multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_4170,c_23764]) ).

cnf(c_24039,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_4169,c_23764]) ).

cnf(c_24040,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_4168,c_23764]) ).

cnf(c_24041,plain,
    multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_4167,c_23764]) ).

cnf(c_24042,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_4166,c_23764]) ).

cnf(c_24043,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_4165,c_23764]) ).

cnf(c_24118,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_23764,c_23764]) ).

cnf(c_25427,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_23807,c_24118]) ).

cnf(c_25440,plain,
    multiply(sk_c7,identity) = multiply(sP6_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_25427,c_7904]) ).

cnf(c_25441,plain,
    multiply(sk_c6,identity) = multiply(sP9_iProver_def,sP10_iProver_def),
    inference(superposition,[status(thm)],[c_25427,c_7914]) ).

cnf(c_25443,plain,
    multiply(sk_c2,sk_c7) = multiply(sP15_iProver_def,identity),
    inference(superposition,[status(thm)],[c_25427,c_4150]) ).

cnf(c_25445,plain,
    multiply(sk_c9,sk_c7) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_25427,c_4145]) ).

cnf(c_25446,plain,
    multiply(sk_c8,sk_c7) = multiply(sP4_iProver_def,identity),
    inference(superposition,[status(thm)],[c_25427,c_4143]) ).

cnf(c_25447,plain,
    multiply(sk_c1,sk_c9) = multiply(sP17_iProver_def,identity),
    inference(superposition,[status(thm)],[c_25427,c_4149]) ).

cnf(c_25450,plain,
    multiply(sk_c8,identity) = multiply(sP12_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_25427,c_8659]) ).

cnf(c_25453,plain,
    multiply(sk_c7,identity) = multiply(sP8_iProver_def,sP15_iProver_def),
    inference(superposition,[status(thm)],[c_25427,c_7705]) ).

cnf(c_25460,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_25453,c_7702]) ).

cnf(c_25463,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(light_normalisation,[status(thm)],[c_25450,c_8656]) ).

cnf(c_25465,plain,
    multiply(sP17_iProver_def,identity) = sP17_iProver_def,
    inference(light_normalisation,[status(thm)],[c_25447,c_568]) ).

cnf(c_25466,plain,
    multiply(sP4_iProver_def,identity) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_25446,c_555]) ).

cnf(c_25467,plain,
    multiply(sP5_iProver_def,identity) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_25445,c_556]) ).

cnf(c_25469,plain,
    multiply(sP15_iProver_def,identity) = sP15_iProver_def,
    inference(light_normalisation,[status(thm)],[c_25443,c_566]) ).

cnf(c_25471,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_25441,c_7911]) ).

cnf(c_25512,plain,
    ( sk_c9 != sP12_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_618,c_3179]) ).

cnf(c_25851,plain,
    ( ~ sP2_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_25512,c_17284,c_25512]) ).

cnf(c_25873,plain,
    ( sk_c9 != sP16_iProver_def
    | ~ sP1_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_3417,c_3421,c_3417,c_16455,c_16728]) ).

cnf(c_25875,plain,
    ~ sP1_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_25873,c_3421,c_15165,c_15553,c_25873]) ).

cnf(c_25877,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c7 != sP6_iProver_def
    | sk_c9 != sP4_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_569,c_25875]) ).

cnf(c_25915,plain,
    ( sk_c8 != sP15_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_580,c_3496]) ).

cnf(c_26100,plain,
    ( ~ sP0_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_25915,c_10714,c_25915]) ).

cnf(c_26165,plain,
    ( sk_c7 != sP6_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_3503,c_3503,c_26100]) ).

cnf(c_26242,plain,
    multiply(sk_c3,sP13_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24038,c_99]) ).

cnf(c_26247,plain,
    multiply(sk_c3,identity) = inverse(sP13_iProver_def),
    inference(superposition,[status(thm)],[c_24038,c_25427]) ).

cnf(c_26269,plain,
    ( identity = sP14_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_4654,c_26242]) ).

cnf(c_26357,plain,
    inverse(sP13_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_26247,c_25427]) ).

cnf(c_26369,plain,
    ( inverse(sP12_iProver_def) = sk_c3
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_4643,c_26357]) ).

cnf(c_26563,plain,
    ( multiply(sP14_iProver_def,X0) = X0
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_26269,c_98]) ).

cnf(c_27271,plain,
    multiply(sk_c4,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_24039,c_25427]) ).

cnf(c_27385,plain,
    inverse(sP12_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_27271,c_25427]) ).

cnf(c_27388,plain,
    ( sk_c4 = sP6_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_4445,c_27385]) ).

cnf(c_27389,plain,
    ( sk_c9 = sP4_iProver_def
    | sk_c4 = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_2745,c_27385]) ).

cnf(c_27599,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_27388,c_4534]) ).

cnf(c_27640,plain,
    ( sk_c7 = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27599,c_7707]) ).

cnf(c_27920,plain,
    ( sk_c7 = sP4_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_26563,c_4789]) ).

cnf(c_28011,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_27389,c_2829]) ).

cnf(c_28046,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_28011,c_7707]) ).

cnf(c_30103,plain,
    ( sP4_iProver_def = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_27920,c_27640]) ).

cnf(c_31515,plain,
    multiply(sk_c5,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24040,c_99]) ).

cnf(c_31520,plain,
    multiply(sk_c5,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_24040,c_25427]) ).

cnf(c_31530,plain,
    ( sk_c9 = sP4_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_2505,c_31515]) ).

cnf(c_31531,plain,
    ( sk_c8 = sP17_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_1917,c_31515]) ).

cnf(c_31533,plain,
    ( sk_c7 = sP6_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_1177,c_31515]) ).

cnf(c_31534,plain,
    ( sk_c7 = sP8_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_1069,c_31515]) ).

cnf(c_31535,plain,
    ( sk_c8 = sP15_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_1068,c_31515]) ).

cnf(c_31597,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_31515,c_4168]) ).

cnf(c_31600,plain,
    inverse(sP9_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_31520,c_25427]) ).

cnf(c_31803,plain,
    ( inverse(sP4_iProver_def) = sP6_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31530,c_557]) ).

cnf(c_32300,plain,
    ( multiply(sP17_iProver_def,sk_c7) = sP4_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31531,c_555]) ).

cnf(c_32991,plain,
    ( ~ sP0_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31533,c_26165]) ).

cnf(c_33716,plain,
    ( identity = sP10_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_31534,c_31533]) ).

cnf(c_33808,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP15_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31534,c_566]) ).

cnf(c_34240,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31535,c_562]) ).

cnf(c_34527,plain,
    ( multiply(sk_c1,sk_c8) != sk_c9
    | inverse(inverse(sP16_iProver_def)) != sk_c9
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_24041,c_571]) ).

cnf(c_34528,plain,
    multiply(sk_c1,multiply(sP16_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_24041,c_23764]) ).

cnf(c_34529,plain,
    multiply(sk_c1,identity) = inverse(sP16_iProver_def),
    inference(superposition,[status(thm)],[c_24041,c_25427]) ).

cnf(c_35246,plain,
    inverse(sP16_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_34529,c_25427]) ).

cnf(c_35253,plain,
    ( sk_c1 = sP6_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_4893,c_35246]) ).

cnf(c_38761,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = multiply(sP17_iProver_def,sk_c7)
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_35253,c_19653]) ).

cnf(c_41883,plain,
    multiply(sk_c9,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24042,c_99]) ).

cnf(c_41884,plain,
    ( multiply(sP6_iProver_def,inverse(sP6_iProver_def)) != sk_c8
    | multiply(sk_c9,sk_c7) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_24042,c_570]) ).

cnf(c_41886,plain,
    ( multiply(sk_c9,sk_c8) != sk_c9
    | inverse(inverse(sP6_iProver_def)) != sk_c9
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_24042,c_571]) ).

cnf(c_41888,plain,
    multiply(sk_c9,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_24042,c_25427]) ).

cnf(c_41918,plain,
    ( multiply(sP6_iProver_def,inverse(sP6_iProver_def)) != sk_c8
    | sk_c8 != sP5_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_41884,c_556]) ).

cnf(c_41924,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1343,c_41883]) ).

cnf(c_41927,plain,
    ( sk_c8 = sP10_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1196,c_41883]) ).

cnf(c_42012,plain,
    multiply(sk_c1,identity) = multiply(sP17_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_41883,c_4149]) ).

cnf(c_42014,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_41883,c_4166]) ).

cnf(c_43169,plain,
    inverse(sP6_iProver_def) = sk_c9,
    inference(demodulation,[status(thm)],[c_41888,c_25427]) ).

cnf(c_48094,plain,
    ( identity = sP5_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_41927,c_41924]) ).

cnf(c_48484,plain,
    multiply(sP17_iProver_def,sP6_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_42012,c_25427]) ).

cnf(c_55110,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = sP4_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31533,c_32300]) ).

cnf(c_55148,plain,
    ( sk_c1 = sP4_iProver_def
    | identity = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_55110,c_48484]) ).

cnf(c_59860,plain,
    ( inverse(sP4_iProver_def) = sP16_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_55148,c_567]) ).

cnf(c_60338,plain,
    ( identity = sP10_iProver_def
    | sP6_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_59860,c_31803]) ).

cnf(c_60394,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP15_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_34240,c_4169]) ).

cnf(c_64565,plain,
    ( sP5_iProver_def = sP10_iProver_def
    | sP6_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_60338,c_48094]) ).

cnf(c_65594,plain,
    ( inverse(sP6_iProver_def) = sk_c1
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_64565,c_35246]) ).

cnf(c_65639,plain,
    ( sk_c9 = sk_c1
    | sP5_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_65594,c_43169]) ).

cnf(c_66205,plain,
    ( sk_c9 = sP6_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_65639,c_35253]) ).

cnf(c_68328,plain,
    multiply(sk_c2,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24043,c_99]) ).

cnf(c_68329,plain,
    ( multiply(sP8_iProver_def,inverse(sP8_iProver_def)) != sk_c8
    | multiply(sk_c2,sk_c7) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_24043,c_570]) ).

cnf(c_68333,plain,
    multiply(sk_c2,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_24043,c_25427]) ).

cnf(c_68348,plain,
    ( identity = sP10_iProver_def
    | identity = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_33808,c_68328]) ).

cnf(c_69322,plain,
    inverse(sP8_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_68333,c_25427]) ).

cnf(c_74718,plain,
    ( sk_c3 = sk_c4
    | sP6_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_26369,c_27385]) ).

cnf(c_74781,plain,
    ( multiply(sk_c3,sk_c8) = sP11_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_74718,c_562]) ).

cnf(c_88802,plain,
    ( inverse(sk_c3) != sk_c9
    | sk_c9 != sP11_iProver_def
    | ~ sP2_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_74781,c_571]) ).

cnf(c_88810,plain,
    ( sk_c9 != sP11_iProver_def
    | sk_c9 != sP13_iProver_def
    | ~ sP2_iProver_def
    | sP6_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_88802,c_564]) ).

cnf(c_91053,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sk_c9
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_64565,c_10467]) ).

cnf(c_91075,plain,
    ( multiply(sP6_iProver_def,sk_c9) = sP15_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_10467,c_7724]) ).

cnf(c_91083,plain,
    ( multiply(sk_c1,sk_c9) = sP15_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_10467,c_34528]) ).

cnf(c_110020,plain,
    ( multiply(sk_c1,sk_c8) != sk_c9
    | sk_c9 != sP16_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_34527,c_567,c_35246]) ).

cnf(c_110062,plain,
    ( multiply(sk_c1,sP17_iProver_def) != sk_c9
    | sk_c9 != sP16_iProver_def
    | ~ sP2_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31531,c_110020]) ).

cnf(c_120788,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_110062,c_91083,c_91075,c_91053,c_88810,c_69322,c_68348,c_68329,c_68328,c_66205,c_60394,c_43169,c_42014,c_41918,c_41886,c_41884,c_41888,c_41883,c_38761,c_33716,c_32991,c_31600,c_31597,c_30103,c_28046,c_26165,c_25877,c_25875,c_25851,c_25471,c_25469,c_25467,c_25466,c_25465,c_25463,c_25460,c_25453,c_25450,c_25447,c_25446,c_25445,c_25443,c_25441,c_25440,c_23950,c_23853,c_23803,c_23801,c_19653,c_19437,c_4517,c_4312,c_3868,c_2817,c_1673,c_1395,c_1347,c_1262,c_1121,c_1120,c_569,c_557]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP354-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Jun 20 12:20:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.45/3.17  % SZS status Started for theBenchmark.p
% 17.45/3.17  % SZS status Unsatisfiable for theBenchmark.p
% 17.45/3.17  
% 17.45/3.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.45/3.17  
% 17.45/3.17  ------  iProver source info
% 17.45/3.17  
% 17.45/3.17  git: date: 2024-06-12 09:56:46 +0000
% 17.45/3.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 17.45/3.17  git: non_committed_changes: false
% 17.45/3.17  
% 17.45/3.17  ------ Parsing...successful
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 17.45/3.17  
% 17.45/3.17  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.45/3.17  
% 17.45/3.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 17.45/3.17  ------ Proving...
% 17.45/3.17  ------ Problem Properties 
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  clauses                                 70
% 17.45/3.17  conjectures                             53
% 17.45/3.17  EPR                                     49
% 17.45/3.17  Horn                                    21
% 17.45/3.17  unary                                   17
% 17.45/3.17  binary                                  48
% 17.45/3.17  lits                                    132
% 17.45/3.17  lits eq                                 124
% 17.45/3.17  fd_pure                                 0
% 17.45/3.17  fd_pseudo                               0
% 17.45/3.17  fd_cond                                 0
% 17.45/3.17  fd_pseudo_cond                          0
% 17.45/3.17  AC symbols                              0
% 17.45/3.17  
% 17.45/3.17  ------ Schedule dynamic 5 is on 
% 17.45/3.17  
% 17.45/3.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  ------ 
% 17.45/3.17  Current options:
% 17.45/3.17  ------ 
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  ------ Proving...
% 17.45/3.17  
% 17.45/3.17  
% 17.45/3.17  % SZS status Unsatisfiable for theBenchmark.p
% 17.45/3.17  
% 17.45/3.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.45/3.18  
% 17.45/3.18  
%------------------------------------------------------------------------------