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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP354-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:22:18 EDT 2024

% Result   : Unsatisfiable 32.45s 5.22s
% Output   : CNFRefutation 32.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c9
    | inverse(sk_c3) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

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_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_60,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c9
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

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_68,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

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_80,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

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_84,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c9
    | multiply(sk_c2,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

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_96,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).

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_575,negated_conjecture,
    ( sP7_iProver_def = sk_c8
    | sP8_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_96,c_559,c_558]) ).

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_586,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_85]) ).

cnf(c_587,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP15_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_84]) ).

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

cnf(c_591,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP7_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_80]) ).

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_599,negated_conjecture,
    ( sP7_iProver_def = sk_c8
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_72,c_567]) ).

cnf(c_602,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_603,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_68]) ).

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_610,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_611,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP17_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_60]) ).

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_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_621,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP13_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_622,negated_conjecture,
    ( sP4_iProver_def = sk_c9
    | sP14_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_623,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_624,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_949,plain,
    ( multiply(sk_c8,sP8_iProver_def) = sP4_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_579,c_555]) ).

cnf(c_950,plain,
    ( multiply(sk_c8,sP8_iProver_def) = sP4_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_578,c_555]) ).

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_1099,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP15_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_578,c_566]) ).

cnf(c_1101,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP15_iProver_def
    | sk_c8 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_575,c_566]) ).

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_1135,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP5_iProver_def
    | sk_c8 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_591,c_556]) ).

cnf(c_1171,plain,
    sP4_iProver_def = sP4_iProver_def,
    inference(instantiation,[status(thm)],[c_623]) ).

cnf(c_1172,plain,
    ( X0 != X1
    | sP4_iProver_def != X1
    | sP4_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_624]) ).

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_1227,plain,
    ( sk_c9 != X0
    | sP4_iProver_def != X0
    | sk_c9 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_1233,plain,
    ( X0 != sP4_iProver_def
    | sP4_iProver_def != sP4_iProver_def
    | sP4_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_1172]) ).

cnf(c_1240,plain,
    ( X0 != X1
    | sP4_iProver_def != X1
    | X0 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_1241,plain,
    ( multiply(sk_c8,sk_c7) != sP4_iProver_def
    | sP4_iProver_def != sP4_iProver_def
    | sP4_iProver_def = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1233]) ).

cnf(c_1254,plain,
    ( multiply(sk_c2,sP6_iProver_def) = sP15_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_594,c_566]) ).

cnf(c_1257,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP4_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_594,c_555]) ).

cnf(c_1285,plain,
    ( sk_c9 != multiply(sk_c8,sk_c7)
    | sP4_iProver_def != multiply(sk_c8,sk_c7)
    | sk_c9 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_1227]) ).

cnf(c_1301,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP5_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_556]) ).

cnf(c_1302,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP4_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_555]) ).

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_1368,plain,
    ( multiply(sk_c8,sk_c7) != X0
    | sk_c9 != X0
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_1523,plain,
    ( multiply(sk_c8,sk_c7) != X0
    | X1 != X0
    | multiply(sk_c8,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_1524,plain,
    ( multiply(sk_c8,sk_c7) != multiply(X0,X1)
    | sk_c9 != multiply(X0,X1)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1368]) ).

cnf(c_1605,plain,
    ( inverse(sP16_iProver_def) = sP6_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_602,c_557]) ).

cnf(c_1621,plain,
    ( inverse(sP16_iProver_def) = sP6_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_603,c_557]) ).

cnf(c_1674,plain,
    ( sk_c9 = sP16_iProver_def
    | sP5_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_599]) ).

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_2107,plain,
    ( multiply(X0,X1) != X2
    | sk_c9 != X2
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_2120,plain,
    ( multiply(sk_c8,sk_c7) != sP4_iProver_def
    | X0 != sP4_iProver_def
    | multiply(sk_c8,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_2141,plain,
    ( multiply(sk_c4,sP17_iProver_def) = sP11_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_612,c_562]) ).

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_2680,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP17_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_618,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_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_3045,plain,
    ( multiply(sP14_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_622,c_555]) ).

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_3152,plain,
    ( inverse(identity) != sk_c9
    | sk_c8 != sk_c9
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_98,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_3648,plain,
    ( multiply(sk_c7,inverse(sk_c7)) != sk_c8
    | sk_c8 != identity
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_99,c_570]) ).

cnf(c_3779,plain,
    ( multiply(sk_c4,sk_c8) != sP11_iProver_def
    | sk_c9 != sP11_iProver_def
    | sk_c9 = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_2107]) ).

cnf(c_4146,plain,
    multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
    inference(superposition,[status(thm)],[c_562,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_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_4946,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
    | sP5_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1674,c_568]) ).

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

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

cnf(c_7729,plain,
    ( multiply(sP6_iProver_def,multiply(sP13_iProver_def,X0)) = X0
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_621,c_4166]) ).

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

cnf(c_8000,plain,
    ( multiply(sk_c8,multiply(sP8_iProver_def,X0)) = multiply(sP4_iProver_def,X0)
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_949,c_100]) ).

cnf(c_8145,plain,
    ( multiply(sk_c8,multiply(sP8_iProver_def,X0)) = multiply(sP4_iProver_def,X0)
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_950,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_8661,plain,
    multiply(sP13_iProver_def,sP14_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_565,c_4170]) ).

cnf(c_8664,plain,
    multiply(sP13_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_8661,c_100]) ).

cnf(c_9543,plain,
    ( multiply(X0,X1) != X2
    | sP4_iProver_def != X2
    | multiply(X0,X1) = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_1240]) ).

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_12449,plain,
    ( multiply(sk_c8,sk_c7) != multiply(sk_c4,sk_c8)
    | sk_c9 != multiply(sk_c4,sk_c8)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1524]) ).

cnf(c_12456,plain,
    ( multiply(sP8_iProver_def,sP15_iProver_def) = sP6_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1254,c_4165]) ).

cnf(c_12457,plain,
    ( sk_c7 = sP6_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12456,c_7702]) ).

cnf(c_12683,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = sP4_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_1257]) ).

cnf(c_13007,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = sP4_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_611,c_1302]) ).

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_16246,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP17_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_2141,c_4169]) ).

cnf(c_16247,plain,
    ( sk_c8 = sP5_iProver_def
    | sk_c8 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16246,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_16944,plain,
    ( multiply(sP16_iProver_def,sP17_iProver_def) = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_2680,c_4167]) ).

cnf(c_16945,plain,
    ( sk_c9 = sP4_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16944,c_7906]) ).

cnf(c_18872,plain,
    multiply(sk_c4,sP4_iProver_def) = multiply(sP11_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_555,c_4146]) ).

cnf(c_23620,plain,
    ( multiply(sk_c9,sk_c7) = multiply(sP13_iProver_def,sP4_iProver_def)
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_3045,c_8664]) ).

cnf(c_23629,plain,
    ( multiply(sP13_iProver_def,sP4_iProver_def) = sP5_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23620,c_556]) ).

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

cnf(c_23806,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_98,c_23764]) ).

cnf(c_23807,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_99,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_25493,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_23807,c_24118]) ).

cnf(c_25525,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_25493,c_23806]) ).

cnf(c_25963,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_25965,plain,
    ~ sP1_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_25963,c_3421,c_15165,c_15553,c_25963]) ).

cnf(c_25967,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_25965]) ).

cnf(c_26005,plain,
    ( sk_c8 != sP15_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_580,c_3496]) ).

cnf(c_26007,plain,
    ( sk_c8 != sP15_iProver_def
    | ~ sP0_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_578,c_3496]) ).

cnf(c_26158,plain,
    ( ~ sP0_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_26005,c_10714,c_26005]) ).

cnf(c_26170,plain,
    ( ~ sP0_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_26007,c_3503,c_12457,c_26158]) ).

cnf(c_26194,plain,
    ( sk_c7 != sP6_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_3503,c_3503,c_10714,c_26005]) ).

cnf(c_27302,plain,
    multiply(sk_c4,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_24039,c_25493]) ).

cnf(c_27414,plain,
    inverse(sP12_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_27302,c_25493]) ).

cnf(c_27418,plain,
    ( sk_c9 = sP4_iProver_def
    | sk_c4 = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_2745,c_27414]) ).

cnf(c_28012,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_27418,c_2829]) ).

cnf(c_28047,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_28012,c_7707]) ).

cnf(c_29172,plain,
    ( multiply(sk_c8,sk_c7) != sP4_iProver_def
    | multiply(sk_c4,sk_c8) != sP4_iProver_def
    | multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_2120]) ).

cnf(c_31586,plain,
    multiply(sk_c5,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24040,c_99]) ).

cnf(c_31604,plain,
    ( sk_c7 = sP6_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_1177,c_31586]) ).

cnf(c_33157,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP5_iProver_def
    | identity = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_31604,c_556]) ).

cnf(c_34649,plain,
    multiply(sk_c1,sP16_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24041,c_99]) ).

cnf(c_34654,plain,
    multiply(sk_c1,identity) = inverse(sP16_iProver_def),
    inference(superposition,[status(thm)],[c_24041,c_25493]) ).

cnf(c_34699,plain,
    ( identity = sP17_iProver_def
    | sP5_iProver_def = sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_4946,c_34649]) ).

cnf(c_35278,plain,
    inverse(sP16_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_34654,c_25493]) ).

cnf(c_35288,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_1621,c_35278]) ).

cnf(c_35289,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_1605,c_35278]) ).

cnf(c_41935,plain,
    multiply(sk_c9,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24042,c_99]) ).

cnf(c_41938,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_41940,plain,
    multiply(sk_c9,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_24042,c_25493]) ).

cnf(c_41976,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1343,c_41935]) ).

cnf(c_41977,plain,
    ( sk_c9 = sP12_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1301,c_41935]) ).

cnf(c_41979,plain,
    ( sk_c8 = sP10_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1196,c_41935]) ).

cnf(c_41980,plain,
    ( sk_c8 = sP7_iProver_def
    | identity = sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_1135,c_41935]) ).

cnf(c_42157,plain,
    multiply(sk_c1,identity) = multiply(sP17_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_41935,c_4149]) ).

cnf(c_42162,plain,
    multiply(sP17_iProver_def,sP6_iProver_def) = sk_c1,
    inference(light_normalisation,[status(thm)],[c_42157,c_34654,c_35278]) ).

cnf(c_42197,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c1 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_13007,c_42162]) ).

cnf(c_42198,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c1 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_12683,c_42162]) ).

cnf(c_42872,plain,
    ( multiply(sk_c4,sP5_iProver_def) = sP11_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_41976,c_562]) ).

cnf(c_43065,plain,
    ( inverse(sP12_iProver_def) = sP6_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_41977,c_557]) ).

cnf(c_43068,plain,
    ( sk_c4 = sP6_iProver_def
    | identity = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_43065,c_27414]) ).

cnf(c_43331,plain,
    inverse(sP6_iProver_def) = sk_c9,
    inference(demodulation,[status(thm)],[c_41940,c_25493]) ).

cnf(c_43352,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_43331,c_570]) ).

cnf(c_43354,plain,
    ( sk_c8 != identity
    | sk_c8 != sP5_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_43352,c_556,c_1120,c_43331]) ).

cnf(c_43712,plain,
    ( multiply(sP10_iProver_def,sk_c7) = sP4_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_41979,c_555]) ).

cnf(c_48240,plain,
    ( identity = sP5_iProver_def
    | sP5_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_41980,c_41976]) ).

cnf(c_49793,plain,
    ( sk_c9 = sP12_iProver_def
    | sP4_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_42197,c_35288]) ).

cnf(c_50087,plain,
    ( sk_c9 = sP11_iProver_def
    | sP4_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_42198,c_35289]) ).

cnf(c_52882,plain,
    ( sP5_iProver_def = sP7_iProver_def
    | sP5_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_48240,c_34699]) ).

cnf(c_54746,plain,
    ( sk_c9 != sP12_iProver_def
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_50087,c_3179]) ).

cnf(c_58076,plain,
    ( sk_c8 != sk_c9
    | sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3152,c_25525]) ).

cnf(c_58126,plain,
    ( sk_c8 != sk_c9
    | identity != sP16_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_603,c_58076]) ).

cnf(c_59798,plain,
    ( identity = sP5_iProver_def
    | identity = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33157,c_41935]) ).

cnf(c_59855,plain,
    ( multiply(sP10_iProver_def,X0) = X0
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_59798,c_98]) ).

cnf(c_67340,plain,
    multiply(sk_c2,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_24043,c_99]) ).

cnf(c_67345,plain,
    multiply(sk_c2,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_24043,c_25493]) ).

cnf(c_67361,plain,
    ( sk_c8 = sP7_iProver_def
    | identity = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_1101,c_67340]) ).

cnf(c_67363,plain,
    ( sk_c9 = sP11_iProver_def
    | identity = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_1099,c_67340]) ).

cnf(c_67409,plain,
    ( multiply(sk_c4,sk_c8) != sP11_iProver_def
    | sP4_iProver_def != sP11_iProver_def
    | multiply(sk_c4,sk_c8) = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_9543]) ).

cnf(c_68566,plain,
    inverse(sP8_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_67345,c_25493]) ).

cnf(c_68570,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_68566,c_570]) ).

cnf(c_68575,plain,
    ( sk_c8 != identity
    | sk_c8 != sP15_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_68570,c_566,c_1121,c_68566]) ).

cnf(c_72891,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP11_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_43068,c_42872]) ).

cnf(c_72900,plain,
    ( sk_c7 = sP11_iProver_def
    | identity = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_72891,c_7707]) ).

cnf(c_83698,plain,
    ( sk_c7 = sP4_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_59855,c_43712]) ).

cnf(c_83882,plain,
    ( identity = sP5_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_83698,c_72900]) ).

cnf(c_90404,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sP4_iProver_def,sP15_iProver_def)
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_7702,c_8000]) ).

cnf(c_90413,plain,
    ( multiply(sP4_iProver_def,sP15_iProver_def) = sP4_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_90404,c_555]) ).

cnf(c_91009,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sP4_iProver_def,sP15_iProver_def)
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_7702,c_8145]) ).

cnf(c_91018,plain,
    ( multiply(sP4_iProver_def,sP15_iProver_def) = sP4_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_91009,c_555]) ).

cnf(c_108425,plain,
    ( X0 != X1
    | sk_c8 != X1
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_624]) ).

cnf(c_108438,plain,
    ( X0 != sP15_iProver_def
    | sk_c8 != sP15_iProver_def
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_108425]) ).

cnf(c_108441,plain,
    ( X0 != sP17_iProver_def
    | sk_c8 != sP17_iProver_def
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_108425]) ).

cnf(c_108920,plain,
    ( X0 != sP7_iProver_def
    | sk_c8 != sP7_iProver_def
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_108425]) ).

cnf(c_108934,plain,
    ( sk_c8 != sP17_iProver_def
    | sP5_iProver_def != sP17_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_108441]) ).

cnf(c_108936,plain,
    ( sk_c8 != sP15_iProver_def
    | sP5_iProver_def != sP15_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_108438]) ).

cnf(c_110406,plain,
    ( sk_c8 != sP7_iProver_def
    | sP5_iProver_def != sP7_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_108920]) ).

cnf(c_124314,plain,
    ( sk_c8 != identity
    | ~ sP3_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_3648,c_10714,c_43354,c_68575]) ).

cnf(c_124368,plain,
    ( identity != sP17_iProver_def
    | ~ sP3_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_124314]) ).

cnf(c_124379,plain,
    ( identity != sP15_iProver_def
    | ~ sP3_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_586,c_124314]) ).

cnf(c_126241,plain,
    ( ~ sP3_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_124368,c_67363,c_124379]) ).

cnf(c_127454,plain,
    ( multiply(sP6_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_23629,c_7729]) ).

cnf(c_127457,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c9 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_127454,c_7707]) ).

cnf(c_128489,plain,
    ( sk_c9 = sP4_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_127457,c_28047]) ).

cnf(c_128674,plain,
    sk_c9 = sP4_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_128489,c_555,c_562,c_1171,c_1241,c_1285,c_3779,c_12449,c_16945,c_29172,c_67409,c_128489]) ).

cnf(c_128683,plain,
    ( ~ sP3_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_126241,c_128674]) ).

cnf(c_128748,plain,
    ( identity = sP15_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_67363,c_128674]) ).

cnf(c_128773,plain,
    inverse(sP6_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_43331,c_128674]) ).

cnf(c_128784,plain,
    ( sk_c1 = sP6_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_35289,c_128674]) ).

cnf(c_128794,plain,
    ( ~ sP0_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_26170,c_128674]) ).

cnf(c_128798,plain,
    ( sP4_iProver_def != sP11_iProver_def
    | sP4_iProver_def != sP12_iProver_def
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_3179,c_128674]) ).

cnf(c_128946,plain,
    multiply(sP6_iProver_def,sP4_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_1120,c_128674]) ).

cnf(c_128954,plain,
    ( sk_c7 = sP6_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_594,c_128674]) ).

cnf(c_128958,plain,
    ( sk_c8 = sP15_iProver_def
    | sP4_iProver_def = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_587,c_128674]) ).

cnf(c_128959,plain,
    ( sk_c8 = sP15_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_586,c_128674]) ).

cnf(c_128960,plain,
    multiply(sP4_iProver_def,sk_c7) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_556,c_128674]) ).

cnf(c_128961,plain,
    inverse(sP4_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_557,c_128674]) ).

cnf(c_134781,plain,
    ( sP4_iProver_def = sP11_iProver_def
    | sP5_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_128748,c_83882]) ).

cnf(c_137167,plain,
    ( multiply(sP4_iProver_def,sk_c8) != sP4_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_41938,c_128674,c_128773,c_128961]) ).

cnf(c_137174,plain,
    ( multiply(sP4_iProver_def,sP15_iProver_def) != sP4_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_128959,c_137167]) ).

cnf(c_137175,plain,
    ( multiply(sP4_iProver_def,sP15_iProver_def) != sP4_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_128958,c_137167]) ).

cnf(c_137372,plain,
    ( ~ sP2_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_58126,c_3179,c_49793,c_54746,c_90413,c_91018,c_128798,c_137175,c_137174]) ).

cnf(c_137374,plain,
    ~ sP2_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_137372,c_3179,c_54746,c_91018,c_128798,c_137175,c_137174,c_137372]) ).

cnf(c_137798,plain,
    sP4_iProver_def = sP11_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_128784,c_25967,c_108936,c_128674,c_128794,c_128683,c_128959,c_128954,c_134781,c_137374]) ).

cnf(c_137959,plain,
    multiply(sk_c4,sP4_iProver_def) = multiply(sP4_iProver_def,sk_c7),
    inference(demodulation,[status(thm)],[c_18872,c_137798]) ).

cnf(c_137978,plain,
    multiply(sk_c4,sP4_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_137959,c_128960]) ).

cnf(c_138269,plain,
    ( multiply(sP6_iProver_def,sP4_iProver_def) = sP5_iProver_def
    | identity = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_43068,c_137978]) ).

cnf(c_138280,plain,
    identity = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_138269,c_128946]) ).

cnf(c_138304,plain,
    ( sk_c8 != sP5_iProver_def
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_124314,c_138280]) ).

cnf(c_138385,plain,
    ( sk_c8 = sP7_iProver_def
    | sP5_iProver_def = sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_67361,c_138280]) ).

cnf(c_138434,plain,
    multiply(X0,sP5_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_25493,c_138280]) ).

cnf(c_138484,plain,
    sk_c7 = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_7707,c_138434]) ).

cnf(c_138488,plain,
    ~ sP0_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_26194,c_138484]) ).

cnf(c_138765,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_138385,c_138304,c_138484,c_138488,c_137374,c_128674,c_110406,c_108936,c_108934,c_52882,c_25967,c_16247,c_10714]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP354-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:01:58 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 32.45/5.22  % SZS status Started for theBenchmark.p
% 32.45/5.22  % SZS status Unsatisfiable for theBenchmark.p
% 32.45/5.22  
% 32.45/5.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.45/5.22  
% 32.45/5.22  ------  iProver source info
% 32.45/5.22  
% 32.45/5.22  git: date: 2024-05-02 19:28:25 +0000
% 32.45/5.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.45/5.22  git: non_committed_changes: false
% 32.45/5.22  
% 32.45/5.22  ------ Parsing...successful
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 32.45/5.22  
% 32.45/5.22  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 32.45/5.22  
% 32.45/5.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 32.45/5.22  ------ Proving...
% 32.45/5.22  ------ Problem Properties 
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  clauses                                 70
% 32.45/5.22  conjectures                             53
% 32.45/5.22  EPR                                     49
% 32.45/5.22  Horn                                    21
% 32.45/5.22  unary                                   17
% 32.45/5.22  binary                                  48
% 32.45/5.22  lits                                    132
% 32.45/5.22  lits eq                                 124
% 32.45/5.22  fd_pure                                 0
% 32.45/5.22  fd_pseudo                               0
% 32.45/5.22  fd_cond                                 0
% 32.45/5.22  fd_pseudo_cond                          0
% 32.45/5.22  AC symbols                              0
% 32.45/5.22  
% 32.45/5.22  ------ Schedule dynamic 5 is on 
% 32.45/5.22  
% 32.45/5.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  ------ 
% 32.45/5.22  Current options:
% 32.45/5.22  ------ 
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  ------ Proving...
% 32.45/5.22  
% 32.45/5.22  
% 32.45/5.22  % SZS status Unsatisfiable for theBenchmark.p
% 32.45/5.22  
% 32.45/5.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.45/5.22  
% 32.45/5.22  
%------------------------------------------------------------------------------