TSTP Solution File: GRP246-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP246-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:21:53 EDT 2024
% Result : Unsatisfiable 20.88s 3.68s
% Output : CNFRefutation 20.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c4) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c4,sk_c11) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| multiply(sk_c3,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_103,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c9) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c10) != sk_c9
| multiply(X7,sk_c10) != sk_c11
| inverse(X0) != X1
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c11
| inverse(X6) != sk_c10
| inverse(X7) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
cnf(c_104,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_105,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_106,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_107,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c10) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c10
| inverse(X3) != sk_c11
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11 ),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_608,negated_conjecture,
( multiply(X0,sk_c9) != sk_c11
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_107]) ).
cnf(c_609,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_107]) ).
cnf(c_610,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_107]) ).
cnf(c_611,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_107]) ).
cnf(c_612,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_107]) ).
cnf(c_613,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107]) ).
cnf(c_614,plain,
multiply(sk_c8,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_615,plain,
multiply(sk_c3,sk_c9) = sP6_iProver_def,
definition ).
cnf(c_616,plain,
inverse(sk_c7) = sP7_iProver_def,
definition ).
cnf(c_617,plain,
multiply(sk_c7,sk_c8) = sP8_iProver_def,
definition ).
cnf(c_618,plain,
multiply(sk_c6,sk_c10) = sP9_iProver_def,
definition ).
cnf(c_619,plain,
inverse(sk_c6) = sP10_iProver_def,
definition ).
cnf(c_620,plain,
inverse(sk_c5) = sP11_iProver_def,
definition ).
cnf(c_621,plain,
multiply(sk_c5,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_622,plain,
inverse(sk_c4) = sP13_iProver_def,
definition ).
cnf(c_623,plain,
multiply(sk_c4,sk_c11) = sP14_iProver_def,
definition ).
cnf(c_624,plain,
inverse(sk_c3) = sP15_iProver_def,
definition ).
cnf(c_625,plain,
inverse(sk_c2) = sP16_iProver_def,
definition ).
cnf(c_626,plain,
multiply(sk_c2,sk_c10) = sP17_iProver_def,
definition ).
cnf(c_627,plain,
inverse(sk_c1) = sP18_iProver_def,
definition ).
cnf(c_628,plain,
multiply(sk_c1,sk_c11) = sP19_iProver_def,
definition ).
cnf(c_629,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_613]) ).
cnf(c_630,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_612]) ).
cnf(c_631,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_611]) ).
cnf(c_634,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_610]) ).
cnf(c_635,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_609]) ).
cnf(c_636,negated_conjecture,
( multiply(X0,sk_c9) != sk_c11
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_608]) ).
cnf(c_639,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_100,c_617]) ).
cnf(c_640,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP9_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_99,c_618]) ).
cnf(c_641,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP10_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_98,c_619]) ).
cnf(c_642,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_97,c_620]) ).
cnf(c_643,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_96,c_621]) ).
cnf(c_644,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP13_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_95,c_622]) ).
cnf(c_645,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP14_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_94,c_623]) ).
cnf(c_647,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_92]) ).
cnf(c_648,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_649,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_90]) ).
cnf(c_650,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_89]) ).
cnf(c_651,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_88]) ).
cnf(c_652,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP15_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_87]) ).
cnf(c_658,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_659,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_660,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_661,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_78]) ).
cnf(c_665,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_666,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_667,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_668,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_669,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_670,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_676,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_677,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_678,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_680,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_681,negated_conjecture,
( sP14_iProver_def = sk_c10
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_682,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_57,c_628]) ).
cnf(c_683,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_684,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_685,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_686,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_687,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_688,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_689,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_690,negated_conjecture,
( sP14_iProver_def = sk_c10
| sP19_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_691,plain,
X0 = X0,
theory(equality) ).
cnf(c_692,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1051,plain,
( sk_c11 = sP6_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_641,c_640]) ).
cnf(c_1096,plain,
( sk_c11 = sP6_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_644,c_641]) ).
cnf(c_1313,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c11 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_647,c_617]) ).
cnf(c_1319,plain,
( multiply(sk_c4,sP15_iProver_def) = sP14_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_651,c_623]) ).
cnf(c_1320,plain,
( multiply(sk_c4,sP15_iProver_def) = sP14_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_623]) ).
cnf(c_1325,plain,
( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
| sk_c11 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_644,c_623]) ).
cnf(c_1355,plain,
( multiply(sk_c1,sP15_iProver_def) = sP19_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_651,c_628]) ).
cnf(c_1356,plain,
( multiply(sk_c1,sP15_iProver_def) = sP19_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_628]) ).
cnf(c_1357,plain,
( multiply(sk_c1,sP15_iProver_def) = sP19_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_649,c_628]) ).
cnf(c_1358,plain,
( multiply(sk_c1,sP15_iProver_def) = sP19_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_648,c_628]) ).
cnf(c_1391,plain,
( inverse(X0) != X1
| sk_c11 != X1
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_1397,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_1400,plain,
( inverse(sk_c6) != sP10_iProver_def
| sk_c11 != sP10_iProver_def
| inverse(sk_c6) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1391]) ).
cnf(c_1402,plain,
( inverse(sk_c4) != sP13_iProver_def
| sk_c11 != sP13_iProver_def
| inverse(sk_c4) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1391]) ).
cnf(c_1406,plain,
multiply(sP13_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_622,c_105]) ).
cnf(c_1407,plain,
multiply(sP11_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_620,c_105]) ).
cnf(c_1408,plain,
multiply(sP10_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_619,c_105]) ).
cnf(c_1409,plain,
multiply(sP7_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_616,c_105]) ).
cnf(c_1410,plain,
multiply(sP18_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_627,c_105]) ).
cnf(c_1411,plain,
multiply(sP16_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_625,c_105]) ).
cnf(c_1412,plain,
multiply(sP15_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_624,c_105]) ).
cnf(c_1461,plain,
( multiply(sk_c6,sk_c9) != sk_c11
| inverse(sk_c6) != sk_c11
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_636]) ).
cnf(c_1465,plain,
( multiply(sk_c4,sk_c9) != sk_c11
| inverse(sk_c4) != sk_c11
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_636]) ).
cnf(c_1536,plain,
( inverse(sk_c6) != sP10_iProver_def
| X0 != sP10_iProver_def
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1397]) ).
cnf(c_1540,plain,
( inverse(sk_c4) != sP13_iProver_def
| X0 != sP13_iProver_def
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1397]) ).
cnf(c_1658,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_691]) ).
cnf(c_1681,plain,
( multiply(sk_c1,sP10_iProver_def) = sP19_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_659,c_628]) ).
cnf(c_1747,plain,
( inverse(sk_c6) != X0
| X1 != X0
| inverse(sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_1397]) ).
cnf(c_1773,plain,
( multiply(sk_c2,sP16_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_660,c_626]) ).
cnf(c_1793,plain,
( multiply(sk_c3,sP12_iProver_def) = sP6_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_615]) ).
cnf(c_1957,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_665,c_617]) ).
cnf(c_1973,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_666,c_614]) ).
cnf(c_1998,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_667,c_614]) ).
cnf(c_2016,plain,
( X0 != X1
| sP10_iProver_def != X1
| X0 = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_2031,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_668,c_614]) ).
cnf(c_2055,plain,
( multiply(sk_c3,sP17_iProver_def) = sP6_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_669,c_615]) ).
cnf(c_2056,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_669,c_614]) ).
cnf(c_2074,plain,
( X0 != X1
| sP13_iProver_def != X1
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_2088,plain,
( multiply(sk_c3,sP17_iProver_def) = sP6_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_670,c_615]) ).
cnf(c_2089,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_670,c_614]) ).
cnf(c_2165,plain,
( X0 != X1
| sP18_iProver_def != X1
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_2262,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_2271,plain,
( inverse(sk_c4) != sP10_iProver_def
| inverse(sk_c6) != sP10_iProver_def
| inverse(sk_c6) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1536]) ).
cnf(c_2432,plain,
( inverse(sk_c6) != inverse(X0)
| X1 != inverse(X0)
| inverse(sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_1747]) ).
cnf(c_2470,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_676,c_628]) ).
cnf(c_2474,plain,
( sk_c11 = sP9_iProver_def
| sP15_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_676,c_649]) ).
cnf(c_2645,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_677,c_628]) ).
cnf(c_2646,plain,
( multiply(sk_c4,sP18_iProver_def) = sP14_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_677,c_623]) ).
cnf(c_2780,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_628]) ).
cnf(c_2781,plain,
( multiply(sk_c4,sP18_iProver_def) = sP14_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_623]) ).
cnf(c_2789,plain,
( sk_c10 = sP11_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_642]) ).
cnf(c_3001,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_680,c_628]) ).
cnf(c_3047,plain,
( X0 != sk_c11
| sP13_iProver_def != sk_c11
| X0 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_2074]) ).
cnf(c_3099,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_681,c_628]) ).
cnf(c_3106,plain,
( sk_c10 = sP14_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_681,c_645]) ).
cnf(c_3170,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_626]) ).
cnf(c_3228,plain,
( inverse(sk_c4) != sk_c11
| X0 != sk_c11
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_2262]) ).
cnf(c_3230,plain,
( inverse(sk_c6) != sk_c11
| X0 != sk_c11
| X0 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_2262]) ).
cnf(c_3237,plain,
( inverse(sk_c6) != sP10_iProver_def
| X0 != sP10_iProver_def
| X0 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_2262]) ).
cnf(c_3291,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_683,c_617]) ).
cnf(c_3309,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_684,c_626]) ).
cnf(c_3527,plain,
( multiply(sk_c1,sP10_iProver_def) = sP19_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_686,c_628]) ).
cnf(c_3694,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_626]) ).
cnf(c_3696,plain,
( multiply(sk_c6,sP19_iProver_def) = sP9_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_618]) ).
cnf(c_3718,plain,
( sk_c11 != sk_c11
| sP13_iProver_def != sk_c11
| sk_c11 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_3047]) ).
cnf(c_3744,plain,
( multiply(sk_c3,sP12_iProver_def) = sP6_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_688,c_615]) ).
cnf(c_3789,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_692]) ).
cnf(c_3838,plain,
( multiply(sk_c1,sP13_iProver_def) = sP19_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_628]) ).
cnf(c_4024,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_690,c_626]) ).
cnf(c_4056,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_105,c_106]) ).
cnf(c_4058,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1406,c_106]) ).
cnf(c_4059,plain,
multiply(sP11_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1407,c_106]) ).
cnf(c_4060,plain,
multiply(sP10_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1408,c_106]) ).
cnf(c_4061,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1409,c_106]) ).
cnf(c_4062,plain,
multiply(sP18_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1410,c_106]) ).
cnf(c_4063,plain,
multiply(sP16_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1411,c_106]) ).
cnf(c_4064,plain,
multiply(sP15_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1412,c_106]) ).
cnf(c_4066,plain,
multiply(sP15_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4064,c_104]) ).
cnf(c_4067,plain,
multiply(sP16_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4063,c_104]) ).
cnf(c_4068,plain,
multiply(sP18_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4062,c_104]) ).
cnf(c_4069,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4061,c_104]) ).
cnf(c_4070,plain,
multiply(sP10_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4060,c_104]) ).
cnf(c_4071,plain,
multiply(sP11_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4059,c_104]) ).
cnf(c_4072,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4058,c_104]) ).
cnf(c_4093,plain,
sP10_iProver_def = sP10_iProver_def,
inference(instantiation,[status(thm)],[c_691]) ).
cnf(c_4173,plain,
( sk_c11 = sP10_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1051,c_677]) ).
cnf(c_4174,plain,
( sk_c11 = sP9_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1051,c_676]) ).
cnf(c_4330,plain,
( sk_c11 = sP13_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1096,c_680]) ).
cnf(c_4332,plain,
( sk_c11 = sP10_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1096,c_677]) ).
cnf(c_4410,plain,
( inverse(sk_c4) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_3228]) ).
cnf(c_4426,plain,
( inverse(sk_c6) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3230]) ).
cnf(c_4695,plain,
( inverse(sk_c6) != sk_c11
| sk_c11 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_618,c_631]) ).
cnf(c_4717,plain,
( sk_c11 != sP9_iProver_def
| sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4695,c_619]) ).
cnf(c_4814,plain,
( inverse(sk_c5) != sk_c10
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_621,c_634]) ).
cnf(c_4816,plain,
( inverse(sk_c2) != sk_c10
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_626,c_634]) ).
cnf(c_4833,plain,
( sk_c10 != sP16_iProver_def
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4816,c_625]) ).
cnf(c_4841,plain,
( sk_c10 != sP11_iProver_def
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4814,c_620]) ).
cnf(c_4937,plain,
( inverse(sk_c1) != sk_c11
| sk_c10 != sP19_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_628,c_635]) ).
cnf(c_4938,plain,
( inverse(sk_c4) != sk_c11
| sk_c10 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_623,c_635]) ).
cnf(c_4975,plain,
( sk_c11 != sP13_iProver_def
| sk_c10 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4938,c_622]) ).
cnf(c_4979,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != sP19_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4937,c_627]) ).
cnf(c_5186,plain,
( inverse(sk_c3) != sk_c11
| sk_c11 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_615,c_636]) ).
cnf(c_5206,plain,
( sk_c11 != sP6_iProver_def
| sk_c11 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5186,c_624]) ).
cnf(c_5317,plain,
( inverse(sk_c6) != inverse(sk_c4)
| X0 != inverse(sk_c4)
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_2432]) ).
cnf(c_5363,plain,
( multiply(sk_c9,inverse(sk_c9)) != sk_c10
| sk_c10 != identity
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_105,c_630]) ).
cnf(c_5369,plain,
( multiply(sk_c2,inverse(sk_c2)) != sk_c10
| multiply(sP16_iProver_def,sk_c9) != sk_c10
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_625,c_630]) ).
cnf(c_5391,plain,
( multiply(sk_c2,sP16_iProver_def) != sk_c10
| multiply(sP16_iProver_def,sk_c9) != sk_c10
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5369,c_625]) ).
cnf(c_7630,plain,
( inverse(sk_c6) != sP10_iProver_def
| sP9_iProver_def != sP10_iProver_def
| sP9_iProver_def = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3237]) ).
cnf(c_7634,plain,
( inverse(sk_c6) != sP10_iProver_def
| sP10_iProver_def != sP10_iProver_def
| sP10_iProver_def = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3237]) ).
cnf(c_7767,plain,
( inverse(sk_c4) != sP13_iProver_def
| sP10_iProver_def != sP13_iProver_def
| inverse(sk_c4) = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_1540]) ).
cnf(c_7807,plain,
( sP6_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3106,c_2789]) ).
cnf(c_8136,plain,
( X0 != inverse(sk_c6)
| sP10_iProver_def != inverse(sk_c6)
| X0 = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_2016]) ).
cnf(c_8823,plain,
( X0 != sk_c11
| sP18_iProver_def != sk_c11
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_2165]) ).
cnf(c_9005,plain,
( inverse(sk_c6) != sP10_iProver_def
| sk_c11 != sP10_iProver_def
| sk_c11 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3237]) ).
cnf(c_9034,plain,
multiply(sP15_iProver_def,sP6_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_615,c_4066]) ).
cnf(c_9039,plain,
multiply(sP16_iProver_def,sP17_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_626,c_4067]) ).
cnf(c_9303,plain,
( multiply(sk_c7,multiply(sP7_iProver_def,X0)) = multiply(sP8_iProver_def,X0)
| sk_c11 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1313,c_106]) ).
cnf(c_9434,plain,
multiply(sP18_iProver_def,sP19_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_628,c_4068]) ).
cnf(c_9558,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_621,c_4071]) ).
cnf(c_9715,plain,
( multiply(sk_c3,sk_c9) != sk_c11
| inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_636]) ).
cnf(c_9904,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP15_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1355,c_4068]) ).
cnf(c_9905,plain,
( sk_c11 = sP15_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9904,c_9434]) ).
cnf(c_9920,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP15_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1356,c_4068]) ).
cnf(c_9921,plain,
( sk_c11 = sP10_iProver_def
| sk_c11 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9920,c_9434]) ).
cnf(c_9997,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP15_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1357,c_4068]) ).
cnf(c_9998,plain,
( sk_c11 = sP9_iProver_def
| sk_c11 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9997,c_9434]) ).
cnf(c_10048,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP15_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1358,c_4068]) ).
cnf(c_10049,plain,
( sk_c11 = sP15_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10048,c_9434]) ).
cnf(c_10791,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP10_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1681,c_4068]) ).
cnf(c_10792,plain,
( sk_c11 = sP10_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10791,c_9434]) ).
cnf(c_10813,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1773,c_4067]) ).
cnf(c_10814,plain,
( sk_c10 = sP11_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10813,c_9039]) ).
cnf(c_10845,plain,
( multiply(sP15_iProver_def,sP6_iProver_def) = sP12_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1793,c_4066]) ).
cnf(c_10846,plain,
( sk_c10 = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10845,c_9034]) ).
cnf(c_11313,plain,
( multiply(sP15_iProver_def,sP6_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2055,c_4066]) ).
cnf(c_11314,plain,
( sk_c10 = sP11_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11313,c_9034]) ).
cnf(c_11404,plain,
( multiply(sP15_iProver_def,sP6_iProver_def) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2088,c_4066]) ).
cnf(c_11405,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11404,c_9034]) ).
cnf(c_12004,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_3001,c_4068]) ).
cnf(c_12005,plain,
( sk_c11 = sP13_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12004,c_9434]) ).
cnf(c_12056,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_3099,c_4068]) ).
cnf(c_12057,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12056,c_9434]) ).
cnf(c_12100,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3170,c_4067]) ).
cnf(c_12101,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12100,c_9039]) ).
cnf(c_12193,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3309,c_4067]) ).
cnf(c_12194,plain,
( sk_c10 = sP8_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12193,c_9039]) ).
cnf(c_12376,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP10_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_3527,c_4068]) ).
cnf(c_12377,plain,
( sk_c11 = sP10_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12376,c_9434]) ).
cnf(c_12407,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3694,c_4067]) ).
cnf(c_12408,plain,
( sk_c10 = sP11_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12407,c_9039]) ).
cnf(c_12483,plain,
( multiply(sP18_iProver_def,sP19_iProver_def) = sP13_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_3838,c_4068]) ).
cnf(c_12484,plain,
( sk_c11 = sP13_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12483,c_9434]) ).
cnf(c_12514,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_4024,c_4067]) ).
cnf(c_12515,plain,
( sk_c10 = sP14_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12514,c_9039]) ).
cnf(c_17824,plain,
( X0 != inverse(sk_c6)
| sP9_iProver_def != inverse(sk_c6)
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_3789]) ).
cnf(c_17885,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_4056,c_104]) ).
cnf(c_17901,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_104,c_17885]) ).
cnf(c_17902,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_105,c_17885]) ).
cnf(c_17903,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_106,c_17885]) ).
cnf(c_18066,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_4072,c_17885]) ).
cnf(c_18067,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4071,c_17885]) ).
cnf(c_18068,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4070,c_17885]) ).
cnf(c_18069,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4069,c_17885]) ).
cnf(c_18070,plain,
multiply(inverse(sP18_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_4068,c_17885]) ).
cnf(c_18071,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_4067,c_17885]) ).
cnf(c_18072,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_4066,c_17885]) ).
cnf(c_18141,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17885,c_17885]) ).
cnf(c_18453,plain,
( inverse(sk_c6) != inverse(sk_c4)
| sk_c11 != inverse(sk_c4)
| inverse(sk_c6) = sk_c11 ),
inference(instantiation,[status(thm)],[c_5317]) ).
cnf(c_18640,plain,
( multiply(identity,inverse(identity)) != sk_c10
| sk_c10 != sk_c9
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_17901,c_630]) ).
cnf(c_18695,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_17902,c_18141]) ).
cnf(c_18729,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_18695,c_17901]) ).
cnf(c_18775,plain,
multiply(sk_c4,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18066,c_105]) ).
cnf(c_18777,plain,
( multiply(sk_c4,sk_c9) != sk_c11
| inverse(inverse(sP13_iProver_def)) != sk_c11
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_18066,c_636]) ).
cnf(c_18779,plain,
( multiply(sk_c4,sk_c10) != sk_c11
| inverse(inverse(sP13_iProver_def)) != sk_c11
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18066,c_631]) ).
cnf(c_18781,plain,
multiply(sk_c4,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_18066,c_18695]) ).
cnf(c_18801,plain,
( sk_c11 = sP6_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_1325,c_18775]) ).
cnf(c_18818,plain,
inverse(sP13_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_18781,c_18695]) ).
cnf(c_19447,plain,
( sk_c11 = sP13_iProver_def
| identity = sP14_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_18801,c_680]) ).
cnf(c_19634,plain,
multiply(sk_c5,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18067,c_105]) ).
cnf(c_19640,plain,
multiply(sk_c5,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_18067,c_18695]) ).
cnf(c_19884,plain,
inverse(sP11_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_19640,c_18695]) ).
cnf(c_20159,plain,
multiply(sk_c6,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18068,c_105]) ).
cnf(c_20161,plain,
( multiply(sk_c6,sk_c9) != sk_c11
| inverse(inverse(sP10_iProver_def)) != sk_c11
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_18068,c_636]) ).
cnf(c_20165,plain,
multiply(sk_c6,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_18068,c_18695]) ).
cnf(c_20191,plain,
inverse(sP10_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_20165,c_18695]) ).
cnf(c_20596,plain,
( sP6_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_4174,c_4173]) ).
cnf(c_20809,plain,
multiply(sk_c7,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18069,c_105]) ).
cnf(c_20814,plain,
multiply(sk_c7,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_18069,c_17885]) ).
cnf(c_20831,plain,
( sk_c10 = sP19_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_3291,c_20809]) ).
cnf(c_20833,plain,
( sk_c9 = sP17_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_1957,c_20809]) ).
cnf(c_21395,plain,
( multiply(sk_c8,sP17_iProver_def) = sP5_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20833,c_614]) ).
cnf(c_22256,plain,
( sP6_iProver_def = sP18_iProver_def
| sP10_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_4332,c_4330]) ).
cnf(c_24903,plain,
multiply(sk_c1,sP18_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18070,c_105]) ).
cnf(c_24909,plain,
multiply(sk_c1,identity) = inverse(sP18_iProver_def),
inference(superposition,[status(thm)],[c_18070,c_18695]) ).
cnf(c_24981,plain,
( sk_c11 = sP13_iProver_def
| identity = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_3001,c_24903]) ).
cnf(c_24982,plain,
( sk_c10 = sP11_iProver_def
| identity = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_2780,c_24903]) ).
cnf(c_24983,plain,
( sk_c11 = sP10_iProver_def
| identity = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_2645,c_24903]) ).
cnf(c_24984,plain,
( sk_c11 = sP9_iProver_def
| identity = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_2470,c_24903]) ).
cnf(c_25226,plain,
( multiply(sk_c1,sP6_iProver_def) = identity
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_7807,c_24903]) ).
cnf(c_25412,plain,
inverse(sP18_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_24909,c_18695]) ).
cnf(c_26037,plain,
( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_24981,c_623]) ).
cnf(c_26049,plain,
( identity = sP14_iProver_def
| identity = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_26037,c_18775]) ).
cnf(c_26276,plain,
( multiply(sk_c5,sP11_iProver_def) = sP12_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_24982,c_621]) ).
cnf(c_26282,plain,
( identity = sP12_iProver_def
| identity = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_26276,c_19634]) ).
cnf(c_28786,plain,
multiply(sk_c2,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18071,c_105]) ).
cnf(c_28792,plain,
multiply(sk_c2,identity) = inverse(sP16_iProver_def),
inference(superposition,[status(thm)],[c_18071,c_18695]) ).
cnf(c_28816,plain,
( sk_c10 = sP11_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1773,c_28786]) ).
cnf(c_28902,plain,
inverse(sP16_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_28792,c_18695]) ).
cnf(c_29964,plain,
( multiply(sk_c5,sP11_iProver_def) = sP12_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_28816,c_621]) ).
cnf(c_29970,plain,
( identity = sP12_iProver_def
| identity = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29964,c_19634]) ).
cnf(c_30472,plain,
( identity = sP12_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_29970,c_26282]) ).
cnf(c_30872,plain,
( sP6_iProver_def != sk_c11
| sP18_iProver_def != sk_c11
| sP6_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_8823]) ).
cnf(c_33217,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_30472,c_104]) ).
cnf(c_40397,plain,
multiply(sk_c3,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_18072,c_105]) ).
cnf(c_40403,plain,
multiply(sk_c3,identity) = inverse(sP15_iProver_def),
inference(superposition,[status(thm)],[c_18072,c_18695]) ).
cnf(c_40833,plain,
inverse(sP15_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_40403,c_18695]) ).
cnf(c_42185,plain,
( sk_c11 = sP13_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_19447,c_644,c_680,c_1658,c_3718,c_30872]) ).
cnf(c_42293,plain,
( sk_c11 = sP10_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP13_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_42185,c_677]) ).
cnf(c_42294,plain,
( sk_c11 = sP9_iProver_def
| sP6_iProver_def = sP18_iProver_def
| sP13_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_42185,c_676]) ).
cnf(c_45869,plain,
( sk_c11 != inverse(sk_c6)
| sP9_iProver_def != inverse(sk_c6)
| sk_c11 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_17824]) ).
cnf(c_45872,plain,
( sk_c11 != inverse(sk_c6)
| sP10_iProver_def != inverse(sk_c6)
| sk_c11 = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_8136]) ).
cnf(c_47974,plain,
( sP6_iProver_def = sP18_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_42293,c_619,c_622,c_1402,c_1658,c_2271,c_4093,c_4410,c_4426,c_7634,c_7767,c_18453,c_22256,c_42185,c_45872]) ).
cnf(c_47975,plain,
( sk_c11 = sP10_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(renaming,[status(thm)],[c_47974]) ).
cnf(c_48140,plain,
( sP6_iProver_def = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_42294,c_619,c_7630,c_9005,c_20596,c_45869,c_47975]) ).
cnf(c_48141,plain,
( sk_c11 = sP9_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(renaming,[status(thm)],[c_48140]) ).
cnf(c_61313,plain,
( multiply(sP8_iProver_def,X0) = X0
| sk_c11 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9303,c_20814]) ).
cnf(c_62645,plain,
( sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_48141,c_4717]) ).
cnf(c_62649,plain,
( sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_24984,c_4717]) ).
cnf(c_62685,plain,
( sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def
| sP15_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_2474,c_4717]) ).
cnf(c_62691,plain,
( sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_685,c_4717]) ).
cnf(c_62694,plain,
( sk_c11 != sP10_iProver_def
| sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_4717]) ).
cnf(c_62701,plain,
( sk_c11 != sP10_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_658,c_4717]) ).
cnf(c_62706,plain,
( sk_c11 != sP10_iProver_def
| sP9_iProver_def != sP15_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_649,c_4717]) ).
cnf(c_63078,plain,
( ~ sP3_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_62691,c_12377,c_62691]) ).
cnf(c_63088,plain,
( ~ sP3_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_62701,c_10792,c_62701]) ).
cnf(c_63623,plain,
( sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4833,c_4841,c_4833,c_10814,c_10846]) ).
cnf(c_63625,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_63623,c_4841,c_11314,c_11405,c_63623]) ).
cnf(c_63627,plain,
( sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_629,c_63625]) ).
cnf(c_64094,plain,
( sk_c10 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4975,c_4979,c_4975,c_12005,c_12484]) ).
cnf(c_64096,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_64094,c_4979,c_12057,c_12515,c_64094]) ).
cnf(c_64098,plain,
( sP0_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_63627,c_64096]) ).
cnf(c_64432,plain,
( sk_c11 != sP15_iProver_def
| sP6_iProver_def != sP18_iProver_def
| ~ sP0_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_677,c_5206]) ).
cnf(c_64433,plain,
( sk_c11 != sP15_iProver_def
| sP6_iProver_def != sP18_iProver_def
| ~ sP0_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_676,c_5206]) ).
cnf(c_64448,plain,
( sk_c11 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_642,c_5206]) ).
cnf(c_64451,plain,
( sk_c11 != sP15_iProver_def
| ~ sP0_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_639,c_5206]) ).
cnf(c_64788,plain,
( ~ sP0_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_64448,c_9905,c_64448]) ).
cnf(c_64849,plain,
( ~ sP0_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_64451,c_10049,c_64451]) ).
cnf(c_65588,plain,
( multiply(identity,identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18640,c_18729]) ).
cnf(c_65589,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_65588,c_104]) ).
cnf(c_65639,plain,
( sk_c10 != sk_c9
| identity != sP19_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_65589]) ).
cnf(c_67174,plain,
( multiply(sk_c4,sk_c9) != sk_c11
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18777,c_86,c_95,c_1465,c_9715]) ).
cnf(c_67200,plain,
( multiply(sk_c4,sP17_iProver_def) != sk_c11
| ~ sP0_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_668,c_67174]) ).
cnf(c_67201,plain,
( multiply(sk_c4,sP17_iProver_def) != sk_c11
| ~ sP0_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_667,c_67174]) ).
cnf(c_68021,plain,
( ~ sP0_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_67200,c_9921,c_47975,c_64432]) ).
cnf(c_68027,plain,
( ~ sP0_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_67201,c_9998,c_48141,c_64433]) ).
cnf(c_68035,plain,
( multiply(sk_c4,sk_c10) != sk_c11
| sk_c11 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18779,c_622,c_18818]) ).
cnf(c_69206,plain,
( multiply(sk_c6,sk_c9) != sk_c11
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20161,c_619,c_1400,c_1461,c_68021]) ).
cnf(c_69226,plain,
( multiply(sk_c6,sP12_iProver_def) != sk_c11
| ~ sP0_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_688,c_69206]) ).
cnf(c_69237,plain,
( multiply(sk_c6,sP12_iProver_def) != sk_c11
| ~ sP0_iProver_def
| sk_c11 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_652,c_69206]) ).
cnf(c_69238,plain,
( multiply(sk_c6,sP12_iProver_def) != sk_c11
| ~ sP0_iProver_def
| sk_c11 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_643,c_69206]) ).
cnf(c_69283,plain,
( ~ sP0_iProver_def
| multiply(sk_c6,sP12_iProver_def) != sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_69226,c_5206,c_69238,c_69237]) ).
cnf(c_69284,plain,
( multiply(sk_c6,sP12_iProver_def) != sk_c11
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_69283]) ).
cnf(c_70173,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP19_iProver_def)) = sk_c11,
inference(superposition,[status(thm)],[c_628,c_17903]) ).
cnf(c_70174,plain,
multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP14_iProver_def)) = sk_c11,
inference(superposition,[status(thm)],[c_623,c_17903]) ).
cnf(c_70178,plain,
multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sk_c9,
inference(superposition,[status(thm)],[c_614,c_17903]) ).
cnf(c_70180,plain,
multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP6_iProver_def)) = sk_c9,
inference(superposition,[status(thm)],[c_615,c_17903]) ).
cnf(c_70195,plain,
( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP6_iProver_def)) = sP12_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_3744,c_17903]) ).
cnf(c_70239,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP19_iProver_def)) = sP15_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1356,c_17903]) ).
cnf(c_70273,plain,
multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_1408,c_17903]) ).
cnf(c_70275,plain,
multiply(inverse(multiply(X0,sP18_iProver_def)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_1410,c_17903]) ).
cnf(c_70277,plain,
multiply(inverse(multiply(X0,sP15_iProver_def)),multiply(X0,identity)) = sk_c3,
inference(superposition,[status(thm)],[c_1412,c_17903]) ).
cnf(c_70306,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_21395,c_17903]) ).
cnf(c_70309,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2089,c_17903]) ).
cnf(c_70310,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2056,c_17903]) ).
cnf(c_70311,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2031,c_17903]) ).
cnf(c_70312,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1998,c_17903]) ).
cnf(c_70313,plain,
( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sP17_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1973,c_17903]) ).
cnf(c_70319,plain,
( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP14_iProver_def)) = sP18_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2781,c_17903]) ).
cnf(c_70320,plain,
( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP14_iProver_def)) = sP18_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2646,c_17903]) ).
cnf(c_70442,plain,
multiply(inverse(multiply(X0,sk_c3)),multiply(X0,identity)) = sP15_iProver_def,
inference(superposition,[status(thm)],[c_40397,c_17903]) ).
cnf(c_70443,plain,
multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_20159,c_17903]) ).
cnf(c_70444,plain,
multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_19634,c_17903]) ).
cnf(c_70638,plain,
multiply(inverse(multiply(X0,sk_c5)),X0) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_70444,c_18695]) ).
cnf(c_70639,plain,
multiply(inverse(multiply(X0,sk_c6)),X0) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_70443,c_18695]) ).
cnf(c_70640,plain,
multiply(inverse(multiply(X0,sk_c3)),X0) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_70442,c_18695]) ).
cnf(c_70643,plain,
multiply(inverse(multiply(X0,sP15_iProver_def)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_70277,c_18695]) ).
cnf(c_70645,plain,
multiply(inverse(multiply(X0,sP18_iProver_def)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_70275,c_18695]) ).
cnf(c_70647,plain,
multiply(inverse(multiply(X0,sP10_iProver_def)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_70273,c_18695]) ).
cnf(c_81104,plain,
( multiply(inverse(sk_c5),sP12_iProver_def) = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_33217,c_70638]) ).
cnf(c_81134,plain,
( multiply(multiply(sk_c9,sk_c5),inverse(multiply(sk_c9,sk_c5))) != sk_c10
| sk_c10 != sP11_iProver_def
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_70638,c_630]) ).
cnf(c_81137,plain,
inverse(multiply(identity,sk_c5)) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_70638,c_18695]) ).
cnf(c_81138,plain,
multiply(inverse(sP11_iProver_def),inverse(multiply(sk_c5,sk_c5))) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_70638,c_70638]) ).
cnf(c_81142,plain,
multiply(sk_c5,inverse(multiply(sk_c5,sk_c5))) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_81138,c_19884]) ).
cnf(c_81205,plain,
( sk_c10 = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_81104,c_620,c_9558]) ).
cnf(c_82058,plain,
( inverse(inverse(multiply(sk_c9,sk_c6))) != sk_c11
| sk_c11 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_70639,c_636]) ).
cnf(c_82060,plain,
inverse(multiply(identity,sk_c6)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_70639,c_18695]) ).
cnf(c_85096,plain,
( inverse(inverse(multiply(sk_c10,sk_c3))) != sk_c11
| sk_c11 != sP15_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_70640,c_631]) ).
cnf(c_85097,plain,
inverse(multiply(identity,sk_c3)) = sP15_iProver_def,
inference(superposition,[status(thm)],[c_70640,c_18695]) ).
cnf(c_85898,plain,
multiply(inverse(multiply(inverse(sP5_iProver_def),sk_c8)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_70178]) ).
cnf(c_92875,plain,
inverse(multiply(inverse(sP5_iProver_def),sk_c8)) = sk_c9,
inference(demodulation,[status(thm)],[c_85898,c_18695]) ).
cnf(c_125857,plain,
( multiply(inverse(sP14_iProver_def),sk_c4) = sk_c3
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1320,c_70643]) ).
cnf(c_125858,plain,
( multiply(inverse(sP14_iProver_def),sk_c4) = sk_c3
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1319,c_70643]) ).
cnf(c_128778,plain,
( multiply(inverse(sP14_iProver_def),sk_c4) = sk_c1
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2781,c_70645]) ).
cnf(c_128779,plain,
( multiply(inverse(sP14_iProver_def),sk_c4) = sk_c1
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2646,c_70645]) ).
cnf(c_131495,plain,
( multiply(inverse(sP10_iProver_def),sP8_iProver_def) = sk_c6
| sk_c11 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_61313,c_70647]) ).
cnf(c_131618,plain,
( multiply(sk_c6,sP8_iProver_def) = sk_c6
| sk_c11 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_131495,c_20191]) ).
cnf(c_135590,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_131618,c_128779,c_128778,c_125858,c_125857,c_92875,c_85898,c_85096,c_85097,c_82058,c_82060,c_81205,c_81142,c_81134,c_81137,c_70320,c_70319,c_70313,c_70312,c_70311,c_70310,c_70309,c_70306,c_70239,c_70195,c_70180,c_70178,c_70174,c_70173,c_69284,c_68035,c_68027,c_65639,c_64849,c_64788,c_64098,c_63088,c_63078,c_62685,c_62706,c_62694,c_62649,c_62645,c_40833,c_40403,c_28902,c_28816,c_28792,c_28786,c_26049,c_25412,c_25226,c_24983,c_24982,c_20831,c_20191,c_20165,c_19884,c_19640,c_19634,c_18781,c_18775,c_18729,c_12408,c_12377,c_12194,c_12101,c_10792,c_9921,c_9039,c_5391,c_5363,c_5206,c_4717,c_3696,c_1407,c_645,c_644,c_643,c_642,c_641,c_640,c_628,c_626,c_625,c_623,c_621,c_618,c_615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP246-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:59:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 20.88/3.68 % SZS status Started for theBenchmark.p
% 20.88/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 20.88/3.68
% 20.88/3.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.88/3.68
% 20.88/3.68 ------ iProver source info
% 20.88/3.68
% 20.88/3.68 git: date: 2024-05-02 19:28:25 +0000
% 20.88/3.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.88/3.68 git: non_committed_changes: false
% 20.88/3.68
% 20.88/3.68 ------ Parsing...successful
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.88/3.68
% 20.88/3.68 ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.88/3.68
% 20.88/3.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.88/3.68 ------ Proving...
% 20.88/3.68 ------ Problem Properties
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68 clauses 78
% 20.88/3.68 conjectures 60
% 20.88/3.68 EPR 55
% 20.88/3.68 Horn 23
% 20.88/3.68 unary 18
% 20.88/3.68 binary 54
% 20.88/3.68 lits 146
% 20.88/3.68 lits eq 136
% 20.88/3.68 fd_pure 0
% 20.88/3.68 fd_pseudo 0
% 20.88/3.68 fd_cond 0
% 20.88/3.68 fd_pseudo_cond 0
% 20.88/3.68 AC symbols 0
% 20.88/3.68
% 20.88/3.68 ------ Schedule dynamic 5 is on
% 20.88/3.68
% 20.88/3.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68 ------
% 20.88/3.68 Current options:
% 20.88/3.68 ------
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68 ------ Proving...
% 20.88/3.68
% 20.88/3.68
% 20.88/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 20.88/3.68
% 20.88/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.88/3.68
% 20.88/3.68
%------------------------------------------------------------------------------