TSTP Solution File: GRP243-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:21:52 EDT 2024
% Result : Unsatisfiable 24.40s 4.18s
% Output : CNFRefutation 24.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c6) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c7) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c8) = sk_c9
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c6) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c3,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_101,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
cnf(c_105,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
cnf(c_107,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
cnf(c_108,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c5,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
cnf(c_109,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c5,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
cnf(c_112,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X3) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c11) != sk_c12
| multiply(X7,sk_c11) != sk_c12
| multiply(X8,sk_c10) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c12
| inverse(X7) != sk_c12
| inverse(X8) != sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
cnf(c_113,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_114,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_115,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_116,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c11) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,sk_c10) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c12
| inverse(X6) != sk_c11 ),
inference(unflattening,[status(thm)],[c_112]) ).
cnf(c_689,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_116]) ).
cnf(c_690,negated_conjecture,
( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_116]) ).
cnf(c_691,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_116]) ).
cnf(c_692,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_116]) ).
cnf(c_693,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_116]) ).
cnf(c_694,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_116]) ).
cnf(c_695,plain,
multiply(sk_c9,sk_c10) = sP5_iProver_def,
definition ).
cnf(c_697,plain,
inverse(sk_c8) = sP7_iProver_def,
definition ).
cnf(c_698,plain,
multiply(sk_c8,sk_c9) = sP8_iProver_def,
definition ).
cnf(c_699,plain,
multiply(sk_c7,sk_c10) = sP9_iProver_def,
definition ).
cnf(c_700,plain,
inverse(sk_c7) = sP10_iProver_def,
definition ).
cnf(c_701,plain,
multiply(sk_c6,sk_c11) = sP11_iProver_def,
definition ).
cnf(c_702,plain,
inverse(sk_c6) = sP12_iProver_def,
definition ).
cnf(c_703,plain,
inverse(sk_c4) = sP13_iProver_def,
definition ).
cnf(c_704,plain,
multiply(sk_c4,sk_c5) = sP14_iProver_def,
definition ).
cnf(c_705,plain,
multiply(sk_c3,sk_c11) = sP15_iProver_def,
definition ).
cnf(c_706,plain,
inverse(sk_c3) = sP16_iProver_def,
definition ).
cnf(c_707,plain,
inverse(sk_c2) = sP17_iProver_def,
definition ).
cnf(c_708,plain,
multiply(sk_c2,sk_c11) = sP18_iProver_def,
definition ).
cnf(c_709,plain,
inverse(sk_c1) = sP19_iProver_def,
definition ).
cnf(c_710,plain,
multiply(sk_c1,sk_c12) = sP20_iProver_def,
definition ).
cnf(c_711,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_694]) ).
cnf(c_713,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_693]) ).
cnf(c_714,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_692]) ).
cnf(c_716,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_691]) ).
cnf(c_717,negated_conjecture,
( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_690]) ).
cnf(c_718,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_689]) ).
cnf(c_720,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP7_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_110,c_697]) ).
cnf(c_721,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP8_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_109,c_698]) ).
cnf(c_722,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP9_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_108,c_699]) ).
cnf(c_723,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP10_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_107,c_700]) ).
cnf(c_725,negated_conjecture,
( sP6_iProver_def = sk_c11
| sP12_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_105,c_702]) ).
cnf(c_729,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP13_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_101]) ).
cnf(c_736,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_94]) ).
cnf(c_745,negated_conjecture,
( sP11_iProver_def = sk_c12
| sP15_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_85]) ).
cnf(c_746,negated_conjecture,
( sP12_iProver_def = sk_c12
| sP15_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_84]) ).
cnf(c_752,negated_conjecture,
( sP11_iProver_def = sk_c12
| sP16_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_78]) ).
cnf(c_753,negated_conjecture,
( sP12_iProver_def = sk_c12
| sP16_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_754,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_76,c_707]) ).
cnf(c_755,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_756,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_757,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_758,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_759,negated_conjecture,
( sP11_iProver_def = sk_c12
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_760,negated_conjecture,
( sP12_iProver_def = sk_c12
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_762,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_764,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_765,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_769,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_770,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_771,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_772,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_773,negated_conjecture,
( sP11_iProver_def = sk_c12
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_774,negated_conjecture,
( sP12_iProver_def = sk_c12
| sP19_iProver_def = sk_c12 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_776,negated_conjecture,
( sP7_iProver_def = sk_c9
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_777,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_778,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_779,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_780,negated_conjecture,
( sP11_iProver_def = sk_c12
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_781,negated_conjecture,
( sP12_iProver_def = sk_c12
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_1170,plain,
( sk_c11 = sP6_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_722,c_721]) ).
cnf(c_1184,plain,
( sk_c11 = sP6_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_722]) ).
cnf(c_1302,plain,
( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_729,c_704]) ).
cnf(c_1356,plain,
multiply(sP12_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_702,c_114]) ).
cnf(c_1357,plain,
multiply(sP10_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_700,c_114]) ).
cnf(c_1358,plain,
multiply(sP7_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_697,c_114]) ).
cnf(c_1359,plain,
multiply(sP19_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_709,c_114]) ).
cnf(c_1360,plain,
multiply(sP17_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_707,c_114]) ).
cnf(c_1361,plain,
multiply(sP16_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_706,c_114]) ).
cnf(c_1362,plain,
multiply(sP13_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_703,c_114]) ).
cnf(c_1414,plain,
( multiply(sk_c2,sP14_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_708]) ).
cnf(c_1653,plain,
( multiply(sk_c1,sP15_iProver_def) = sP20_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_745,c_710]) ).
cnf(c_1697,plain,
( multiply(sk_c1,sP15_iProver_def) = sP20_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_710]) ).
cnf(c_1969,plain,
( multiply(sk_c1,sP16_iProver_def) = sP20_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_752,c_710]) ).
cnf(c_2021,plain,
( multiply(sk_c1,sP16_iProver_def) = sP20_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_753,c_710]) ).
cnf(c_2055,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_754,c_708]) ).
cnf(c_2103,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c11 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_755,c_698]) ).
cnf(c_2124,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_756,c_708]) ).
cnf(c_2181,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_757,c_708]) ).
cnf(c_2235,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_758,c_708]) ).
cnf(c_2382,plain,
( sk_c11 = sP17_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_760,c_759]) ).
cnf(c_2480,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_762,c_698]) ).
cnf(c_2524,plain,
( multiply(sk_c7,sP18_iProver_def) = sP9_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_764,c_699]) ).
cnf(c_2526,plain,
( multiply(sk_c9,sP18_iProver_def) = sP5_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_764,c_695]) ).
cnf(c_2723,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c12 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_769,c_698]) ).
cnf(c_2772,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_770,c_710]) ).
cnf(c_2917,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_771,c_710]) ).
cnf(c_3028,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_772,c_710]) ).
cnf(c_3214,plain,
( sk_c12 = sP12_iProver_def
| sP15_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_774,c_746]) ).
cnf(c_3222,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_774,c_710]) ).
cnf(c_3410,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_776,c_698]) ).
cnf(c_3434,plain,
( sk_c11 = sP8_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_777,c_756]) ).
cnf(c_3509,plain,
( sk_c11 = sP9_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_778,c_757]) ).
cnf(c_3515,plain,
( multiply(sk_c2,sP20_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_778,c_708]) ).
cnf(c_3595,plain,
( sk_c11 = sP10_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_779,c_758]) ).
cnf(c_3715,plain,
( multiply(sk_c1,sP11_iProver_def) = sP20_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_780,c_710]) ).
cnf(c_3871,plain,
( multiply(sk_c1,sP12_iProver_def) = sP20_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_781,c_710]) ).
cnf(c_3965,plain,
( inverse(sk_c7) != sk_c11
| sk_c11 != sP9_iProver_def
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_699,c_713]) ).
cnf(c_3969,plain,
( inverse(inverse(sk_c10)) != sk_c11
| sk_c11 != identity
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_114,c_713]) ).
cnf(c_3985,plain,
( sk_c11 != sP9_iProver_def
| sk_c11 != sP10_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3965,c_700]) ).
cnf(c_4041,plain,
( inverse(sk_c1) != sk_c12
| sk_c11 != sP20_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_716]) ).
cnf(c_4043,plain,
( inverse(inverse(sk_c12)) != sk_c12
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_114,c_716]) ).
cnf(c_4073,plain,
( sk_c12 != sP19_iProver_def
| sk_c11 != sP20_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4041,c_709]) ).
cnf(c_4287,plain,
( inverse(sk_c6) != sk_c12
| sk_c12 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_701,c_717]) ).
cnf(c_4289,plain,
( inverse(sk_c3) != sk_c12
| sk_c12 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_705,c_717]) ).
cnf(c_4311,plain,
( sk_c12 != sP15_iProver_def
| sk_c12 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4289,c_706]) ).
cnf(c_4319,plain,
( sk_c12 != sP11_iProver_def
| sk_c12 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4287,c_702]) ).
cnf(c_4420,plain,
( inverse(sk_c2) != sk_c11
| sk_c10 != sP18_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_718]) ).
cnf(c_4423,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_114,c_718]) ).
cnf(c_4447,plain,
( sk_c11 != sP17_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4420,c_707]) ).
cnf(c_4726,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_114,c_115]) ).
cnf(c_4728,plain,
multiply(sP12_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1356,c_115]) ).
cnf(c_4729,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1357,c_115]) ).
cnf(c_4730,plain,
multiply(sP7_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1358,c_115]) ).
cnf(c_4731,plain,
multiply(sP19_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1359,c_115]) ).
cnf(c_4732,plain,
multiply(sP17_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1360,c_115]) ).
cnf(c_4733,plain,
multiply(sP16_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1361,c_115]) ).
cnf(c_4734,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1362,c_115]) ).
cnf(c_4740,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4734,c_113]) ).
cnf(c_4741,plain,
multiply(sP16_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4733,c_113]) ).
cnf(c_4742,plain,
multiply(sP17_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4732,c_113]) ).
cnf(c_4743,plain,
multiply(sP19_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4731,c_113]) ).
cnf(c_4744,plain,
multiply(sP7_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4730,c_113]) ).
cnf(c_4745,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4729,c_113]) ).
cnf(c_4746,plain,
multiply(sP12_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4728,c_113]) ).
cnf(c_4867,plain,
( sk_c11 = sP9_iProver_def
| sP6_iProver_def = sP20_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1170,c_778]) ).
cnf(c_4868,plain,
( sk_c11 = sP8_iProver_def
| sP6_iProver_def = sP20_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1170,c_777]) ).
cnf(c_4996,plain,
( sk_c11 = sP10_iProver_def
| sP6_iProver_def = sP20_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1184,c_779]) ).
cnf(c_4997,plain,
( sk_c11 = sP9_iProver_def
| sP6_iProver_def = sP20_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1184,c_778]) ).
cnf(c_5923,plain,
( multiply(sk_c2,inverse(sk_c2)) != sk_c11
| multiply(sP17_iProver_def,sk_c10) != sk_c11
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_714]) ).
cnf(c_5943,plain,
( multiply(sk_c2,sP17_iProver_def) != sk_c11
| multiply(sP17_iProver_def,sk_c10) != sk_c11
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5923,c_707]) ).
cnf(c_8670,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2382,c_708]) ).
cnf(c_14615,plain,
( sP9_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3595,c_3509]) ).
cnf(c_14617,plain,
( sP8_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3595,c_3434]) ).
cnf(c_16143,plain,
multiply(sP17_iProver_def,sP18_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_708,c_4742]) ).
cnf(c_16161,plain,
multiply(sP19_iProver_def,sP20_iProver_def) = sk_c12,
inference(superposition,[status(thm)],[c_710,c_4743]) ).
cnf(c_16574,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_699,c_4745]) ).
cnf(c_17714,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP15_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1653,c_4743]) ).
cnf(c_17715,plain,
( sk_c12 = sP11_iProver_def
| sk_c12 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17714,c_16161]) ).
cnf(c_17726,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP15_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1697,c_4743]) ).
cnf(c_17727,plain,
( sk_c12 = sP12_iProver_def
| sk_c12 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17726,c_16161]) ).
cnf(c_18056,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP16_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1969,c_4743]) ).
cnf(c_18057,plain,
( sk_c12 = sP11_iProver_def
| sk_c12 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18056,c_16161]) ).
cnf(c_18075,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP16_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2021,c_4743]) ).
cnf(c_18076,plain,
( sk_c12 = sP12_iProver_def
| sk_c12 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18075,c_16161]) ).
cnf(c_18723,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2524,c_4745]) ).
cnf(c_18724,plain,
( sk_c11 = sP9_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18723,c_16574]) ).
cnf(c_19759,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP20_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3515,c_4742]) ).
cnf(c_19760,plain,
( sk_c11 = sP9_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19759,c_16143]) ).
cnf(c_19843,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3715,c_4743]) ).
cnf(c_19844,plain,
( sk_c12 = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19843,c_16161]) ).
cnf(c_19855,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP12_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3871,c_4743]) ).
cnf(c_19856,plain,
( sk_c12 = sP12_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19855,c_16161]) ).
cnf(c_27035,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_4726,c_113]) ).
cnf(c_27052,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_113,c_27035]) ).
cnf(c_27053,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_114,c_27035]) ).
cnf(c_27054,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_115,c_27035]) ).
cnf(c_27275,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4746,c_27035]) ).
cnf(c_27276,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4745,c_27035]) ).
cnf(c_27277,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4744,c_27035]) ).
cnf(c_27278,plain,
multiply(inverse(sP19_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_4743,c_27035]) ).
cnf(c_27279,plain,
multiply(inverse(sP17_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_4742,c_27035]) ).
cnf(c_27280,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_4741,c_27035]) ).
cnf(c_27281,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_4740,c_27035]) ).
cnf(c_27331,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_27035,c_27035]) ).
cnf(c_28514,plain,
( sP6_iProver_def = sP20_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_4868,c_4867]) ).
cnf(c_29649,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_27053,c_27331]) ).
cnf(c_29684,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_29649,c_27052]) ).
cnf(c_30686,plain,
( sP6_iProver_def = sP20_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_4997,c_4996]) ).
cnf(c_30803,plain,
( sk_c11 != sP20_iProver_def
| ~ sP2_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_774,c_4073]) ).
cnf(c_30804,plain,
( sk_c11 != sP20_iProver_def
| ~ sP2_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_773,c_4073]) ).
cnf(c_30806,plain,
( sk_c11 != sP20_iProver_def
| ~ sP2_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_771,c_4073]) ).
cnf(c_30941,plain,
( ~ sP2_iProver_def
| sk_c12 = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_30803,c_19856,c_30803]) ).
cnf(c_30947,plain,
( ~ sP2_iProver_def
| sk_c12 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_30804,c_19844,c_30804]) ).
cnf(c_30959,plain,
( ~ sP2_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_30806,c_19760,c_30806]) ).
cnf(c_31619,plain,
( sk_c12 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4311,c_4319,c_4311,c_17715,c_17727]) ).
cnf(c_31621,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_31619,c_4319,c_18057,c_18076,c_31619]) ).
cnf(c_31623,plain,
( sP0_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_711,c_31621]) ).
cnf(c_32993,plain,
( sk_c10 != sP18_iProver_def
| ~ sP0_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_757,c_4447]) ).
cnf(c_33392,plain,
( ~ sP0_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_32993,c_18724,c_32993]) ).
cnf(c_35723,plain,
multiply(sk_c6,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_27275,c_29649]) ).
cnf(c_38497,plain,
inverse(sP12_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_35723,c_29649]) ).
cnf(c_38528,plain,
multiply(sk_c7,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_27276,c_114]) ).
cnf(c_38531,plain,
( multiply(sk_c7,sk_c10) != sk_c11
| inverse(inverse(sP10_iProver_def)) != sk_c11
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_27276,c_713]) ).
cnf(c_38533,plain,
multiply(sk_c7,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_27276,c_29649]) ).
cnf(c_38534,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c11
| sk_c11 != sP9_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_38531,c_699]) ).
cnf(c_40410,plain,
inverse(sP10_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_38533,c_29649]) ).
cnf(c_40413,plain,
( multiply(sP10_iProver_def,inverse(sP10_iProver_def)) != sk_c11
| multiply(sk_c7,sk_c10) != sk_c11
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_40410,c_714]) ).
cnf(c_40415,plain,
( sk_c11 != identity
| sk_c11 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40413,c_699,c_1357,c_40410]) ).
cnf(c_40486,plain,
multiply(sk_c8,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_27277,c_114]) ).
cnf(c_40504,plain,
( sk_c11 = sP20_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_3410,c_40486]) ).
cnf(c_40505,plain,
( sk_c12 = sP19_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2723,c_40486]) ).
cnf(c_40506,plain,
( sk_c10 = sP18_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2480,c_40486]) ).
cnf(c_40507,plain,
( sk_c11 = sP17_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2103,c_40486]) ).
cnf(c_41462,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_40505,c_710]) ).
cnf(c_42102,plain,
( identity = sP8_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_40507,c_40504]) ).
cnf(c_42175,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_40507,c_708]) ).
cnf(c_44119,plain,
multiply(sk_c1,sP19_iProver_def) = identity,
inference(superposition,[status(thm)],[c_27278,c_114]) ).
cnf(c_44173,plain,
( identity = sP8_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_41462,c_44119]) ).
cnf(c_44174,plain,
( sk_c12 = sP12_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_3222,c_44119]) ).
cnf(c_44176,plain,
( sk_c11 = sP10_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_3028,c_44119]) ).
cnf(c_44177,plain,
( sk_c11 = sP9_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_2917,c_44119]) ).
cnf(c_44178,plain,
( sk_c11 = sP8_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_2772,c_44119]) ).
cnf(c_46001,plain,
( identity = sP20_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_44177,c_44176]) ).
cnf(c_46388,plain,
( identity = sP20_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_44178,c_44177]) ).
cnf(c_46389,plain,
( identity = sP20_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_44178,c_44176]) ).
cnf(c_47899,plain,
multiply(sk_c2,sP17_iProver_def) = identity,
inference(superposition,[status(thm)],[c_27279,c_114]) ).
cnf(c_47901,plain,
( multiply(sk_c2,sk_c11) != sk_c10
| inverse(inverse(sP17_iProver_def)) != sk_c11
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_27279,c_718]) ).
cnf(c_47904,plain,
multiply(sk_c2,identity) = inverse(sP17_iProver_def),
inference(superposition,[status(thm)],[c_27279,c_29649]) ).
cnf(c_47930,plain,
( inverse(inverse(sP17_iProver_def)) != sk_c11
| sk_c10 != sP18_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47901,c_708]) ).
cnf(c_47940,plain,
( identity = sP8_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_42175,c_47899]) ).
cnf(c_47941,plain,
( identity = sP18_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_8670,c_47899]) ).
cnf(c_47942,plain,
( sk_c11 = sP10_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_2235,c_47899]) ).
cnf(c_47943,plain,
( sk_c11 = sP9_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_2181,c_47899]) ).
cnf(c_47944,plain,
( sk_c11 = sP8_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_2124,c_47899]) ).
cnf(c_47945,plain,
( sk_c11 = sP5_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_2055,c_47899]) ).
cnf(c_48265,plain,
( identity = sP8_iProver_def
| sP8_iProver_def = sP18_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_47940,c_42102]) ).
cnf(c_48666,plain,
( multiply(sk_c2,sP10_iProver_def) = sP18_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_47942,c_708]) ).
cnf(c_48827,plain,
inverse(sP17_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_47904,c_29649]) ).
cnf(c_49024,plain,
( identity = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_47943,c_47942]) ).
cnf(c_49334,plain,
( identity = sP18_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_47944,c_47943]) ).
cnf(c_49335,plain,
( identity = sP18_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_47944,c_47942]) ).
cnf(c_49414,plain,
( multiply(sk_c2,sP8_iProver_def) = sP18_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_47944,c_708]) ).
cnf(c_49776,plain,
( identity = sP18_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_47945,c_47943]) ).
cnf(c_49800,plain,
( sk_c11 != sP10_iProver_def
| sP5_iProver_def != sP9_iProver_def
| ~ sP4_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_47945,c_3985]) ).
cnf(c_50529,plain,
( sP9_iProver_def = sP10_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_49024,c_46001]) ).
cnf(c_50590,plain,
( sP8_iProver_def = sP9_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_49334,c_46388]) ).
cnf(c_50977,plain,
( sP8_iProver_def = sP10_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_49335,c_46389]) ).
cnf(c_52534,plain,
( sP6_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_50529,c_30686]) ).
cnf(c_52548,plain,
( sP9_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_50529,c_14615]) ).
cnf(c_52969,plain,
( sP6_iProver_def = sP18_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_50590,c_28514]) ).
cnf(c_53156,plain,
( sP8_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_50977,c_14617]) ).
cnf(c_69267,plain,
multiply(sk_c3,identity) = inverse(sP16_iProver_def),
inference(superposition,[status(thm)],[c_27280,c_29649]) ).
cnf(c_69431,plain,
inverse(sP16_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_69267,c_29649]) ).
cnf(c_69755,plain,
multiply(sk_c4,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_27281,c_114]) ).
cnf(c_69776,plain,
( sk_c11 = sP9_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_1302,c_69755]) ).
cnf(c_106580,plain,
( inverse(inverse(sP18_iProver_def)) != sk_c11
| sk_c11 != identity
| ~ sP4_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_764,c_3969]) ).
cnf(c_106648,plain,
( inverse(inverse(sP12_iProver_def)) != sP12_iProver_def
| sk_c11 != identity
| ~ sP2_iProver_def
| identity = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_44174,c_4043]) ).
cnf(c_106678,plain,
( inverse(inverse(sP12_iProver_def)) != sP12_iProver_def
| sk_c11 != identity
| ~ sP2_iProver_def
| sP15_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_3214,c_4043]) ).
cnf(c_106684,plain,
( inverse(inverse(sP12_iProver_def)) != sP12_iProver_def
| sk_c11 != identity
| ~ sP2_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_781,c_4043]) ).
cnf(c_106741,plain,
( sk_c11 != identity
| sP12_iProver_def != sP12_iProver_def
| ~ sP2_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_106684,c_702,c_38497]) ).
cnf(c_106742,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_106741]) ).
cnf(c_106768,plain,
( sk_c11 != identity
| sP12_iProver_def != sP12_iProver_def
| ~ sP2_iProver_def
| sP15_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_106678,c_702,c_38497]) ).
cnf(c_106769,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| sP15_iProver_def = sP19_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_106768]) ).
cnf(c_106778,plain,
( sk_c11 != identity
| sP12_iProver_def != sP12_iProver_def
| ~ sP2_iProver_def
| identity = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_106648,c_702,c_38497]) ).
cnf(c_106779,plain,
( sk_c11 != identity
| ~ sP2_iProver_def
| identity = sP20_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_106778]) ).
cnf(c_108131,plain,
multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sP9_iProver_def)) = sk_c10,
inference(superposition,[status(thm)],[c_699,c_27054]) ).
cnf(c_108133,plain,
multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sP5_iProver_def)) = sk_c10,
inference(superposition,[status(thm)],[c_695,c_27054]) ).
cnf(c_108134,plain,
multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP18_iProver_def)) = sk_c11,
inference(superposition,[status(thm)],[c_708,c_27054]) ).
cnf(c_108246,plain,
( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP18_iProver_def)) = sP14_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1414,c_27054]) ).
cnf(c_108250,plain,
( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP18_iProver_def)) = sP10_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_48666,c_27054]) ).
cnf(c_108270,plain,
( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP18_iProver_def)) = sP8_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_49414,c_27054]) ).
cnf(c_108324,plain,
multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = sP17_iProver_def,
inference(superposition,[status(thm)],[c_47899,c_27054]) ).
cnf(c_108355,plain,
( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sP5_iProver_def)) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2526,c_27054]) ).
cnf(c_108466,plain,
multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_38528,c_27054]) ).
cnf(c_108605,plain,
multiply(inverse(multiply(X0,sk_c7)),X0) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_108466,c_29649]) ).
cnf(c_108608,plain,
multiply(inverse(multiply(X0,sk_c2)),X0) = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_108324,c_29649]) ).
cnf(c_126996,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_108608,c_108605,c_108355,c_108270,c_108250,c_108246,c_108134,c_108133,c_108131,c_106779,c_106769,c_106742,c_106580,c_69776,c_69431,c_69267,c_53156,c_52969,c_52548,c_52534,c_49800,c_49776,c_48827,c_48265,c_47943,c_47942,c_47941,c_47940,c_47930,c_47904,c_47899,c_44173,c_40506,c_40505,c_40504,c_40486,c_40415,c_40410,c_38534,c_38497,c_33392,c_31623,c_30959,c_30947,c_30941,c_29684,c_29649,c_16161,c_16143,c_5943,c_4423,c_4073,c_4043,c_765,c_725,c_723,c_722,c_721,c_720,c_708,c_707,c_705,c_702,c_700,c_698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:44:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.40/4.18 % SZS status Started for theBenchmark.p
% 24.40/4.18 % SZS status Unsatisfiable for theBenchmark.p
% 24.40/4.18
% 24.40/4.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.40/4.18
% 24.40/4.18 ------ iProver source info
% 24.40/4.18
% 24.40/4.18 git: date: 2024-05-02 19:28:25 +0000
% 24.40/4.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.40/4.18 git: non_committed_changes: false
% 24.40/4.18
% 24.40/4.18 ------ Parsing...successful
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 24.40/4.18
% 24.40/4.18 ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.40/4.18
% 24.40/4.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 24.40/4.18 ------ Proving...
% 24.40/4.18 ------ Problem Properties
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18 clauses 88
% 24.40/4.18 conjectures 69
% 24.40/4.18 EPR 64
% 24.40/4.18 Horn 24
% 24.40/4.18 unary 19
% 24.40/4.18 binary 63
% 24.40/4.18 lits 165
% 24.40/4.18 lits eq 155
% 24.40/4.18 fd_pure 0
% 24.40/4.18 fd_pseudo 0
% 24.40/4.18 fd_cond 0
% 24.40/4.18 fd_pseudo_cond 0
% 24.40/4.18 AC symbols 0
% 24.40/4.18
% 24.40/4.18 ------ Schedule dynamic 5 is on
% 24.40/4.18
% 24.40/4.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18 ------
% 24.40/4.18 Current options:
% 24.40/4.18 ------
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18 ------ Proving...
% 24.40/4.18
% 24.40/4.18
% 24.40/4.18 % SZS status Unsatisfiable for theBenchmark.p
% 24.40/4.18
% 24.40/4.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.40/4.19
% 24.40/4.19
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