TSTP Solution File: GRP385-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP385-1 : 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 07:00:06 EDT 2024

% Result   : Unsatisfiable 10.22s 2.17s
% Output   : CNFRefutation 10.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    inverse(sk_c10) = sk_c9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c10
    | multiply(sk_c7,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c10,sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c3,sk_c10) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | inverse(sk_c3) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c7,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c10,sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c10,sk_c2) = sk_c9
    | multiply(sk_c3,sk_c10) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c10,sk_c2) = sk_c9
    | inverse(sk_c3) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c10,sk_c2) = sk_c9
    | multiply(sk_c7,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c1,sk_c10) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c1,sk_c10) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c2
    | inverse(sk_c3) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c10
    | multiply(sk_c1,sk_c10) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_88,negated_conjecture,
    ( inverse(sk_c7) = sk_c10
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c10
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

cnf(c_90,negated_conjecture,
    ( multiply(X0,X1) != sk_c8
    | multiply(X1,sk_c9) != sk_c8
    | multiply(X2,sk_c10) != X3
    | multiply(X4,sk_c10) != X5
    | multiply(X6,sk_c8) != sk_c10
    | multiply(sk_c10,X3) != sk_c9
    | multiply(sk_c10,X5) != sk_c9
    | multiply(sk_c10,sk_c8) != sk_c9
    | multiply(sk_c9,sk_c8) != sk_c10
    | inverse(X0) != X1
    | inverse(X2) != sk_c10
    | inverse(X4) != sk_c10
    | inverse(X6) != sk_c10
    | inverse(sk_c10) != sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

cnf(c_91,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_92,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_93,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_94,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
    | multiply(X2,inverse(X2)) != sk_c8
    | multiply(inverse(X2),sk_c9) != sk_c8
    | multiply(X3,sk_c8) != sk_c10
    | multiply(sk_c10,sk_c8) != sk_c9
    | multiply(sk_c9,sk_c8) != sk_c10
    | inverse(X0) != sk_c10
    | inverse(X1) != sk_c10
    | inverse(X3) != sk_c10
    | inverse(sk_c10) != sk_c9 ),
    inference(unflattening,[status(thm)],[c_90]) ).

cnf(c_99,plain,
    ( inverse(X3) != sk_c10
    | inverse(X1) != sk_c10
    | inverse(X0) != sk_c10
    | multiply(sk_c9,sk_c8) != sk_c10
    | multiply(sk_c10,sk_c8) != sk_c9
    | multiply(X3,sk_c8) != sk_c10
    | multiply(inverse(X2),sk_c9) != sk_c8
    | multiply(X2,inverse(X2)) != sk_c8
    | multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
    | multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_49,c_94]) ).

cnf(c_100,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
    | multiply(X2,inverse(X2)) != sk_c8
    | multiply(inverse(X2),sk_c9) != sk_c8
    | multiply(X3,sk_c8) != sk_c10
    | multiply(sk_c10,sk_c8) != sk_c9
    | multiply(sk_c9,sk_c8) != sk_c10
    | inverse(X0) != sk_c10
    | inverse(X1) != sk_c10
    | inverse(X3) != sk_c10 ),
    inference(renaming,[status(thm)],[c_99]) ).

cnf(c_472,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c9) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_100]) ).

cnf(c_473,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_100]) ).

cnf(c_474,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c10
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_100]) ).

cnf(c_475,negated_conjecture,
    ( multiply(sk_c10,sk_c8) != sk_c9
    | multiply(sk_c9,sk_c8) != sk_c10
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_100]) ).

cnf(c_476,plain,
    multiply(sk_c10,sk_c8) = sP3_iProver_def,
    definition ).

cnf(c_477,plain,
    multiply(sk_c9,sk_c8) = sP4_iProver_def,
    definition ).

cnf(c_478,plain,
    multiply(sk_c7,sk_c8) = sP5_iProver_def,
    definition ).

cnf(c_479,plain,
    inverse(sk_c1) = sP6_iProver_def,
    definition ).

cnf(c_480,plain,
    inverse(sk_c7) = sP7_iProver_def,
    definition ).

cnf(c_484,plain,
    inverse(sk_c3) = sP11_iProver_def,
    definition ).

cnf(c_485,plain,
    multiply(sk_c3,sk_c10) = sP12_iProver_def,
    definition ).

cnf(c_486,plain,
    multiply(sk_c10,sk_c4) = sP13_iProver_def,
    definition ).

cnf(c_487,plain,
    multiply(sk_c1,sk_c10) = sP14_iProver_def,
    definition ).

cnf(c_488,plain,
    multiply(sk_c10,sk_c2) = sP15_iProver_def,
    definition ).

cnf(c_489,plain,
    inverse(sk_c10) = sP16_iProver_def,
    definition ).

cnf(c_490,negated_conjecture,
    ( sP3_iProver_def != sk_c9
    | sP4_iProver_def != sk_c10
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_475,c_477,c_476]) ).

cnf(c_492,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c10
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_474]) ).

cnf(c_493,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_473]) ).

cnf(c_494,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c9) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_472]) ).

cnf(c_495,negated_conjecture,
    ( sP5_iProver_def = sk_c10
    | sP6_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_89,c_479,c_478]) ).

cnf(c_496,negated_conjecture,
    ( sP6_iProver_def = sk_c10
    | sP7_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_88,c_480]) ).

cnf(c_500,negated_conjecture,
    ( sP6_iProver_def = sk_c10
    | sP11_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_84,c_484]) ).

cnf(c_501,negated_conjecture,
    ( sP6_iProver_def = sk_c10
    | sP12_iProver_def = sk_c4 ),
    inference(demodulation,[status(thm)],[c_83,c_485]) ).

cnf(c_502,negated_conjecture,
    ( sP6_iProver_def = sk_c10
    | sP13_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_82,c_486]) ).

cnf(c_503,negated_conjecture,
    ( sP5_iProver_def = sk_c10
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_81,c_487]) ).

cnf(c_508,negated_conjecture,
    ( sP11_iProver_def = sk_c10
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_76]) ).

cnf(c_509,negated_conjecture,
    ( sP12_iProver_def = sk_c4
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_510,negated_conjecture,
    ( sP13_iProver_def = sk_c9
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_511,negated_conjecture,
    ( sP5_iProver_def = sk_c10
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_73,c_488]) ).

cnf(c_516,negated_conjecture,
    ( sP11_iProver_def = sk_c10
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_517,negated_conjecture,
    ( sP12_iProver_def = sk_c4
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_518,negated_conjecture,
    ( sP13_iProver_def = sk_c9
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_519,negated_conjecture,
    ( sP3_iProver_def = sk_c9
    | sP5_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_520,negated_conjecture,
    ( sP3_iProver_def = sk_c9
    | sP7_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_524,negated_conjecture,
    ( sP3_iProver_def = sk_c9
    | sP11_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_525,negated_conjecture,
    ( sP3_iProver_def = sk_c9
    | sP12_iProver_def = sk_c4 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_526,negated_conjecture,
    ( sP3_iProver_def = sk_c9
    | sP13_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_527,negated_conjecture,
    ( sP4_iProver_def = sk_c10
    | sP5_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_528,negated_conjecture,
    ( sP4_iProver_def = sk_c10
    | sP7_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_535,negated_conjecture,
    sP16_iProver_def = sk_c9,
    inference(demodulation,[status(thm)],[c_49,c_489]) ).

cnf(c_536,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_537,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_542,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_536]) ).

cnf(c_856,plain,
    multiply(sP16_iProver_def,sk_c8) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_477,c_535]) ).

cnf(c_869,plain,
    ( sk_c10 = sP6_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_502,c_535]) ).

cnf(c_949,plain,
    ( multiply(sk_c10,sP12_iProver_def) = sP13_iProver_def
    | sk_c2 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_509,c_486]) ).

cnf(c_975,plain,
    ( multiply(sP6_iProver_def,sk_c2) = sP15_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_869,c_488]) ).

cnf(c_978,plain,
    ( multiply(sP6_iProver_def,sk_c2) = sP15_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_495,c_488]) ).

cnf(c_1002,plain,
    multiply(sP16_iProver_def,sk_c10) = identity,
    inference(superposition,[status(thm)],[c_489,c_92]) ).

cnf(c_1003,plain,
    multiply(sP11_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_484,c_92]) ).

cnf(c_1005,plain,
    multiply(sP7_iProver_def,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_480,c_92]) ).

cnf(c_1006,plain,
    multiply(sP6_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_479,c_92]) ).

cnf(c_1022,plain,
    ( X0 != X1
    | sk_c9 != X1
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_537]) ).

cnf(c_1023,plain,
    ( sk_c2 = sP14_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_510,c_535]) ).

cnf(c_1033,plain,
    ( X0 != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_1022]) ).

cnf(c_1034,plain,
    sk_c9 = sk_c9,
    inference(instantiation,[status(thm)],[c_536]) ).

cnf(c_1037,plain,
    ( sk_c10 = sP5_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_511,c_535]) ).

cnf(c_1090,plain,
    ( X0 != X1
    | sk_c9 != X1
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_537]) ).

cnf(c_1093,plain,
    ( sk_c9 != sk_c9
    | sP16_iProver_def != sk_c9
    | sk_c9 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_1033]) ).

cnf(c_1143,plain,
    ( X0 != sP16_iProver_def
    | sk_c9 != sP16_iProver_def
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_1022]) ).

cnf(c_1227,plain,
    ( sk_c10 = sP11_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_516,c_535]) ).

cnf(c_1240,plain,
    ( sP5_iProver_def = sP11_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1227,c_1037]) ).

cnf(c_1244,plain,
    ( multiply(sP11_iProver_def,sk_c4) = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1227,c_486]) ).

cnf(c_1292,plain,
    ( sk_c4 = sP12_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_517,c_535]) ).

cnf(c_1302,plain,
    ( sP13_iProver_def = sP16_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_518,c_535]) ).

cnf(c_1326,plain,
    ( X0 != sP15_iProver_def
    | sk_c9 != sP15_iProver_def
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1090]) ).

cnf(c_1329,plain,
    ( sk_c10 != sP15_iProver_def
    | sk_c9 != sP15_iProver_def
    | sk_c10 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1326]) ).

cnf(c_1330,plain,
    ( sk_c10 = sP5_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_519,c_535]) ).

cnf(c_1397,plain,
    ( sk_c10 = sP7_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_520,c_535]) ).

cnf(c_1531,plain,
    ( sk_c10 = sP11_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_524,c_535]) ).

cnf(c_1546,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1531,c_1330]) ).

cnf(c_1552,plain,
    ( multiply(sP11_iProver_def,sk_c4) = sP13_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1531,c_486]) ).

cnf(c_1595,plain,
    ( sk_c4 = sP12_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_525,c_535]) ).

cnf(c_1605,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_526,c_535]) ).

cnf(c_1659,plain,
    ( multiply(sk_c1,sP5_iProver_def) = sP14_iProver_def
    | sk_c10 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_527,c_487]) ).

cnf(c_2065,plain,
    multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_476,c_93]) ).

cnf(c_2069,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_92,c_93]) ).

cnf(c_2073,plain,
    multiply(sP16_iProver_def,multiply(sk_c10,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1002,c_93]) ).

cnf(c_2074,plain,
    multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1003,c_93]) ).

cnf(c_2076,plain,
    multiply(sP7_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1005,c_93]) ).

cnf(c_2077,plain,
    multiply(sP6_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1006,c_93]) ).

cnf(c_2079,plain,
    multiply(sP6_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2077,c_91]) ).

cnf(c_2080,plain,
    multiply(sP7_iProver_def,multiply(sk_c7,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2076,c_91]) ).

cnf(c_2082,plain,
    multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2074,c_91]) ).

cnf(c_2083,plain,
    multiply(sP16_iProver_def,multiply(sk_c10,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2073,c_91]) ).

cnf(c_2435,plain,
    ( sk_c10 != sP4_iProver_def
    | sP3_iProver_def != sP16_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_490,c_535]) ).

cnf(c_2510,plain,
    ( inverse(sP16_iProver_def) != sk_c10
    | sk_c10 != sP4_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_856,c_492]) ).

cnf(c_2650,plain,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sP16_iProver_def
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_493,c_535]) ).

cnf(c_2676,plain,
    ( multiply(sk_c10,sP12_iProver_def) != sP16_iProver_def
    | inverse(sk_c3) != sk_c10
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_485,c_2650]) ).

cnf(c_2708,plain,
    ( multiply(sk_c10,sP12_iProver_def) != sP16_iProver_def
    | sk_c10 != sP11_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2676,c_484]) ).

cnf(c_2856,plain,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sP16_iProver_def) != sk_c8
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_494,c_535]) ).

cnf(c_2869,plain,
    ( multiply(inverse(sk_c3),sP16_iProver_def) != sk_c8
    | multiply(sk_c3,sP11_iProver_def) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_484,c_2856]) ).

cnf(c_3006,plain,
    ( sk_c9 != sP16_iProver_def
    | sP15_iProver_def != sP16_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_1143]) ).

cnf(c_3708,plain,
    ( sP3_iProver_def = sP15_iProver_def
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1546,c_1240]) ).

cnf(c_3851,plain,
    multiply(sP6_iProver_def,sP14_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_487,c_2079]) ).

cnf(c_4077,plain,
    multiply(sP7_iProver_def,sP5_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_478,c_2080]) ).

cnf(c_4093,plain,
    multiply(sP11_iProver_def,sP12_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_485,c_2082]) ).

cnf(c_4112,plain,
    multiply(sP16_iProver_def,sP13_iProver_def) = sk_c4,
    inference(superposition,[status(thm)],[c_486,c_2083]) ).

cnf(c_4113,plain,
    multiply(sP16_iProver_def,sP3_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_476,c_2083]) ).

cnf(c_4114,plain,
    multiply(sP16_iProver_def,sP15_iProver_def) = sk_c2,
    inference(superposition,[status(thm)],[c_488,c_2083]) ).

cnf(c_4125,plain,
    ( multiply(sP16_iProver_def,multiply(sP7_iProver_def,X0)) = X0
    | sk_c10 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_528,c_2083]) ).

cnf(c_4135,plain,
    ( multiply(sP16_iProver_def,multiply(sP7_iProver_def,X0)) = X0
    | sk_c10 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_496,c_2083]) ).

cnf(c_4383,plain,
    ( inverse(sk_c10) != X0
    | X1 != X0
    | inverse(sk_c10) = X1 ),
    inference(instantiation,[status(thm)],[c_537]) ).

cnf(c_5939,plain,
    ( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_3708,c_4114]) ).

cnf(c_5940,plain,
    ( sk_c8 = sk_c2
    | sP5_iProver_def = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5939,c_4113]) ).

cnf(c_6527,plain,
    ( multiply(sP6_iProver_def,sP14_iProver_def) = sP15_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_503,c_978]) ).

cnf(c_6529,plain,
    ( sk_c10 = sP5_iProver_def
    | sk_c10 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6527,c_3851]) ).

cnf(c_7427,plain,
    ( sk_c10 = sP5_iProver_def
    | sP6_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_6529,c_495]) ).

cnf(c_8465,plain,
    ( multiply(sP6_iProver_def,sP14_iProver_def) = sP5_iProver_def
    | sk_c10 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_1659,c_2079]) ).

cnf(c_8466,plain,
    ( sk_c10 = sP4_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8465,c_3851]) ).

cnf(c_9497,plain,
    ( multiply(sP6_iProver_def,sP14_iProver_def) = sP15_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1023,c_975]) ).

cnf(c_9504,plain,
    ( sk_c10 = sP15_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9497,c_3851]) ).

cnf(c_9609,plain,
    ( inverse(sP15_iProver_def) = sP16_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_9504,c_489]) ).

cnf(c_14009,plain,
    ( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1292,c_1244]) ).

cnf(c_14013,plain,
    ( sk_c10 = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14009,c_4093]) ).

cnf(c_14116,plain,
    ( sP5_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_14013,c_1037]) ).

cnf(c_15832,plain,
    ( inverse(sk_c10) != sk_c9
    | X0 != sk_c9
    | inverse(sk_c10) = X0 ),
    inference(instantiation,[status(thm)],[c_4383]) ).

cnf(c_15833,plain,
    ( inverse(sk_c10) != sk_c9
    | sk_c10 != sk_c9
    | inverse(sk_c10) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_15832]) ).

cnf(c_17529,plain,
    ( multiply(sP16_iProver_def,sk_c8) = sP5_iProver_def
    | sk_c10 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4077,c_4125]) ).

cnf(c_17533,plain,
    ( sk_c10 = sP4_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17529,c_856]) ).

cnf(c_17901,plain,
    ( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1595,c_1552]) ).

cnf(c_17908,plain,
    ( sk_c10 = sP13_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17901,c_4093]) ).

cnf(c_18020,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP5_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_17908,c_1330]) ).

cnf(c_18030,plain,
    ( inverse(sP13_iProver_def) = sP16_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_17908,c_489]) ).

cnf(c_18276,plain,
    ( sP4_iProver_def = sP5_iProver_def
    | sP6_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_17533,c_7427]) ).

cnf(c_18299,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_17533,c_1330]) ).

cnf(c_18302,plain,
    ( sP4_iProver_def = sP5_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_17533,c_1037]) ).

cnf(c_18699,plain,
    ( sP3_iProver_def = sP15_iProver_def
    | sP5_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_18020,c_14116]) ).

cnf(c_18926,plain,
    ( multiply(sP16_iProver_def,sk_c8) = sP5_iProver_def
    | sk_c10 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_4077,c_4135]) ).

cnf(c_18930,plain,
    ( sk_c10 = sP6_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18926,c_856]) ).

cnf(c_19307,plain,
    ( sk_c10 != sP4_iProver_def
    | sP4_iProver_def = sP5_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_18299,c_2435]) ).

cnf(c_19502,plain,
    ( sP3_iProver_def = sP15_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_18302,c_18299]) ).

cnf(c_20593,plain,
    ( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
    | sP5_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_18699,c_4114]) ).

cnf(c_20594,plain,
    ( sk_c8 = sk_c2
    | sP5_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20593,c_4113]) ).

cnf(c_20743,plain,
    ( inverse(sP6_iProver_def) = sP16_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_18930,c_489]) ).

cnf(c_20874,plain,
    ( sP3_iProver_def = sP6_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_18276,c_19502]) ).

cnf(c_20881,plain,
    ( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_19502,c_4114]) ).

cnf(c_20884,plain,
    ( sk_c8 = sk_c2
    | sP4_iProver_def = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20881,c_4113]) ).

cnf(c_22102,plain,
    ( sk_c10 = sP11_iProver_def
    | sk_c8 = sP14_iProver_def
    | sP5_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_20594,c_508]) ).

cnf(c_23725,plain,
    ( inverse(sP3_iProver_def) = sP16_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_20874,c_20743]) ).

cnf(c_23918,plain,
    ( sk_c10 = sP5_iProver_def
    | sk_c8 = sP14_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_20884,c_503]) ).

cnf(c_28200,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2069,c_91]) ).

cnf(c_28251,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_92,c_28200]) ).

cnf(c_28403,plain,
    multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c10,X0),
    inference(superposition,[status(thm)],[c_2083,c_28200]) ).

cnf(c_28441,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_28200,c_28200]) ).

cnf(c_30263,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_28251,c_28441]) ).

cnf(c_30282,plain,
    multiply(sk_c10,sk_c8) = multiply(sP3_iProver_def,identity),
    inference(superposition,[status(thm)],[c_30263,c_2065]) ).

cnf(c_30297,plain,
    multiply(sP3_iProver_def,identity) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_30282,c_476]) ).

cnf(c_43222,plain,
    ( multiply(sP16_iProver_def,sP3_iProver_def) = identity
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_23725,c_92]) ).

cnf(c_43223,plain,
    ( sk_c8 = identity
    | sP4_iProver_def = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_43222,c_4113]) ).

cnf(c_43778,plain,
    ( multiply(sk_c10,sP14_iProver_def) = sP3_iProver_def
    | sk_c10 = sP11_iProver_def
    | sP5_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22102,c_476]) ).

cnf(c_45468,plain,
    ( multiply(X0,identity) != sk_c10
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_43223,c_492]) ).

cnf(c_45543,plain,
    ( inverse(X0) != sk_c10
    | X0 != sk_c10
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_45468,c_30263]) ).

cnf(c_45551,plain,
    ( inverse(sk_c10) != sk_c10
    | sk_c10 != sk_c10
    | ~ sP2_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_45543]) ).

cnf(c_45616,plain,
    multiply(sk_c10,sP16_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_28403,c_92]) ).

cnf(c_45620,plain,
    multiply(sk_c10,multiply(sP16_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_28403,c_28200]) ).

cnf(c_45621,plain,
    multiply(sk_c10,identity) = inverse(sP16_iProver_def),
    inference(superposition,[status(thm)],[c_28403,c_30263]) ).

cnf(c_46327,plain,
    inverse(sP16_iProver_def) = sk_c10,
    inference(demodulation,[status(thm)],[c_45621,c_30263]) ).

cnf(c_46348,plain,
    ( inverse(sP13_iProver_def) = sk_c10
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1605,c_46327]) ).

cnf(c_46349,plain,
    ( inverse(sP15_iProver_def) = sk_c10
    | sP13_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1302,c_46327]) ).

cnf(c_46351,plain,
    ( multiply(inverse(sP16_iProver_def),sP16_iProver_def) != sk_c8
    | multiply(sP16_iProver_def,sk_c10) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_46327,c_2856]) ).

cnf(c_46395,plain,
    ( sk_c8 != identity
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_46351,c_1002,c_45616,c_46327]) ).

cnf(c_46450,plain,
    ( ~ sP0_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_43223,c_46395]) ).

cnf(c_47790,plain,
    ( sk_c10 = sP16_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_46348,c_18030]) ).

cnf(c_47827,plain,
    ( sk_c10 = sP16_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_46349,c_9609]) ).

cnf(c_48300,plain,
    ( inverse(sP16_iProver_def) != sk_c10
    | sk_c10 != sP16_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_45620,c_2650]) ).

cnf(c_48454,plain,
    ( sk_c10 != sP16_iProver_def
    | ~ sP1_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_48300,c_46327]) ).

cnf(c_48854,plain,
    ( sP13_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_14013,c_48454]) ).

cnf(c_48870,plain,
    ( sP15_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_6529,c_48454]) ).

cnf(c_48893,plain,
    ( sP6_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_495,c_48454]) ).

cnf(c_49255,plain,
    ( ~ sP1_iProver_def
    | sk_c10 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_48893,c_47827,c_48454,c_48870,c_48854]) ).

cnf(c_49799,plain,
    ( ~ sP1_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_47790,c_48454]) ).

cnf(c_49880,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP7_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_47790,c_1397]) ).

cnf(c_49892,plain,
    ( multiply(sP16_iProver_def,sk_c8) = sP3_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_47790,c_476]) ).

cnf(c_49905,plain,
    ( sP3_iProver_def = sP4_iProver_def
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_49892,c_856]) ).

cnf(c_51159,plain,
    ( sk_c10 = sP5_iProver_def
    | sP4_iProver_def = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_23918,c_49,c_542,c_535,c_1034,c_1093,c_1329,c_3006,c_6529,c_8466,c_15833,c_18302,c_19307,c_45551,c_46450,c_49255]) ).

cnf(c_51238,plain,
    sP4_iProver_def = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_51159,c_17533]) ).

cnf(c_51349,plain,
    ( sP3_iProver_def = sP15_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_18699,c_51238]) ).

cnf(c_51391,plain,
    ( sk_c8 = sk_c2
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_5940,c_51238]) ).

cnf(c_51417,plain,
    multiply(sP7_iProver_def,sP4_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_4077,c_51238]) ).

cnf(c_51426,plain,
    sk_c10 = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_527,c_51238]) ).

cnf(c_51440,plain,
    ( sP3_iProver_def != sP16_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2435,c_51426]) ).

cnf(c_51441,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP4_iProver_def = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_47790,c_51426]) ).

cnf(c_51445,plain,
    ( sP4_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_48454,c_51426]) ).

cnf(c_51451,plain,
    inverse(sP16_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_46327,c_51426]) ).

cnf(c_51452,plain,
    multiply(sP4_iProver_def,sP16_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_45616,c_51426]) ).

cnf(c_51480,plain,
    ( sP3_iProver_def = sP16_iProver_def
    | sP4_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_17908,c_51426]) ).

cnf(c_51533,plain,
    multiply(sP11_iProver_def,sP12_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_4093,c_51426]) ).

cnf(c_51538,plain,
    multiply(sP6_iProver_def,sP14_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_3851,c_51426]) ).

cnf(c_51553,plain,
    multiply(sP16_iProver_def,sP4_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_1002,c_51426]) ).

cnf(c_51556,plain,
    multiply(sP4_iProver_def,sk_c4) = sP13_iProver_def,
    inference(demodulation,[status(thm)],[c_486,c_51426]) ).

cnf(c_51557,plain,
    multiply(sk_c3,sP4_iProver_def) = sP12_iProver_def,
    inference(demodulation,[status(thm)],[c_485,c_51426]) ).

cnf(c_51558,plain,
    ( sk_c2 = sP14_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_508,c_51426]) ).

cnf(c_51561,plain,
    inverse(sP4_iProver_def) = sP16_iProver_def,
    inference(demodulation,[status(thm)],[c_489,c_51426]) ).

cnf(c_52788,plain,
    multiply(inverse(sP11_iProver_def),sP4_iProver_def) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_51533,c_28200]) ).

cnf(c_52795,plain,
    multiply(inverse(sP6_iProver_def),sP4_iProver_def) = sP14_iProver_def,
    inference(superposition,[status(thm)],[c_51538,c_28200]) ).

cnf(c_53047,plain,
    ( multiply(sP7_iProver_def,sP4_iProver_def) = identity
    | sP3_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_49880,c_51553]) ).

cnf(c_53086,plain,
    ( sk_c8 = identity
    | sP3_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_53047,c_51417]) ).

cnf(c_53521,plain,
    ( sP4_iProver_def = sP16_iProver_def
    | sP13_iProver_def = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_47827,c_51426]) ).

cnf(c_53540,plain,
    ( sP4_iProver_def != sP13_iProver_def
    | ~ sP1_iProver_def
    | sP4_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_53521,c_51445]) ).

cnf(c_53706,plain,
    ( inverse(sP16_iProver_def) != sk_c10
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2510,c_2510,c_51426]) ).

cnf(c_53708,plain,
    ( sP4_iProver_def != sP4_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_53706,c_51426,c_51451]) ).

cnf(c_53709,plain,
    ~ sP2_iProver_def,
    inference(equality_resolution_simp,[status(thm)],[c_53708]) ).

cnf(c_54378,plain,
    ( sk_c8 = sP14_iProver_def
    | sP4_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_51391,c_51558]) ).

cnf(c_54746,plain,
    ( sP3_iProver_def != sP16_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_51440,c_53709]) ).

cnf(c_55062,plain,
    ( sP3_iProver_def != sP4_iProver_def
    | sP3_iProver_def = sP16_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_51441,c_54746]) ).

cnf(c_55275,plain,
    sP3_iProver_def = sP16_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_51480,c_46395,c_49799,c_49905,c_53086,c_55062]) ).

cnf(c_55278,plain,
    ( sP3_iProver_def != sP3_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_54746,c_55275]) ).

cnf(c_55288,plain,
    ( sP3_iProver_def = sP4_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_53521,c_55275]) ).

cnf(c_55289,plain,
    ( sP3_iProver_def != sP4_iProver_def
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_51445,c_55275]) ).

cnf(c_55290,plain,
    multiply(sP3_iProver_def,sP4_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_51553,c_55275]) ).

cnf(c_55291,plain,
    multiply(sP4_iProver_def,sP3_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_51452,c_55275]) ).

cnf(c_55293,plain,
    inverse(sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_51561,c_55275]) ).

cnf(c_55370,plain,
    multiply(sP3_iProver_def,sP15_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_4114,c_55275]) ).

cnf(c_55371,plain,
    multiply(sP3_iProver_def,sP3_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_4113,c_55275]) ).

cnf(c_55374,plain,
    multiply(sP3_iProver_def,sP13_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_4112,c_55275]) ).

cnf(c_55390,plain,
    multiply(sP3_iProver_def,sk_c8) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_856,c_55275]) ).

cnf(c_55391,plain,
    sk_c9 = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_535,c_55275]) ).

cnf(c_55394,plain,
    ( sP0_iProver_def
    | sP1_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_55278]) ).

cnf(c_55638,plain,
    ( multiply(sP3_iProver_def,sP3_iProver_def) = sk_c2
    | sP4_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_51349,c_55370]) ).

cnf(c_56018,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_55638,c_55394,c_55391,c_55390,c_55374,c_55371,c_55293,c_55291,c_55290,c_55289,c_55288,c_55275,c_54378,c_53540,c_52795,c_52788,c_51557,c_51556,c_51538,c_51533,c_51445,c_51426,c_51238,c_46395,c_43778,c_30297,c_2869,c_2708,c_949,c_502,c_501,c_500,c_484]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP385-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Jun 20 11:08:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.22/2.17  % SZS status Started for theBenchmark.p
% 10.22/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.17  
% 10.22/2.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.22/2.17  
% 10.22/2.17  ------  iProver source info
% 10.22/2.17  
% 10.22/2.17  git: date: 2024-06-12 09:56:46 +0000
% 10.22/2.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.22/2.17  git: non_committed_changes: false
% 10.22/2.17  
% 10.22/2.17  ------ Parsing...successful
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.22/2.17  
% 10.22/2.17  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.22/2.17  
% 10.22/2.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.22/2.17  ------ Proving...
% 10.22/2.17  ------ Problem Properties 
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  clauses                                 62
% 10.22/2.17  conjectures                             45
% 10.22/2.17  EPR                                     42
% 10.22/2.17  Horn                                    21
% 10.22/2.17  unary                                   18
% 10.22/2.17  binary                                  40
% 10.22/2.17  lits                                    112
% 10.22/2.17  lits eq                                 106
% 10.22/2.17  fd_pure                                 0
% 10.22/2.17  fd_pseudo                               0
% 10.22/2.17  fd_cond                                 0
% 10.22/2.17  fd_pseudo_cond                          0
% 10.22/2.17  AC symbols                              0
% 10.22/2.17  
% 10.22/2.17  ------ Schedule dynamic 5 is on 
% 10.22/2.17  
% 10.22/2.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  ------ 
% 10.22/2.17  Current options:
% 10.22/2.17  ------ 
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  ------ Proving...
% 10.22/2.17  
% 10.22/2.17  
% 10.22/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.17  
% 10.22/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.22/2.17  
% 10.22/2.17  
%------------------------------------------------------------------------------