TSTP Solution File: GRP389-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:27 EDT 2024
% Result : Unsatisfiable 17.82s 3.20s
% Output : CNFRefutation 17.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
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_c4) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c1) = 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_71,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| 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_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
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_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| 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_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_103,negated_conjecture,
( multiply(X0,X1) != sk_c10
| multiply(X2,X3) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c10) != 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) != X3
| inverse(X4) != sk_c11
| inverse(X5) != sk_c11
| inverse(X6) != sk_c10
| inverse(X7) != sk_c11
| inverse(sk_c10) != sk_c9 ),
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(X1,inverse(X1)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(inverse(X1),sk_c9) != sk_c10
| multiply(X2,sk_c10) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c10) != sk_c11
| inverse(X2) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_604,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_107]) ).
cnf(c_605,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_107]) ).
cnf(c_606,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_607,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_107]) ).
cnf(c_608,negated_conjecture,
( inverse(sk_c10) != sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107]) ).
cnf(c_609,plain,
inverse(sk_c10) = sP4_iProver_def,
definition ).
cnf(c_610,plain,
multiply(sk_c8,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_611,plain,
multiply(sk_c3,sk_c9) = sP6_iProver_def,
definition ).
cnf(c_612,plain,
inverse(sk_c7) = sP7_iProver_def,
definition ).
cnf(c_613,plain,
multiply(sk_c7,sk_c8) = sP8_iProver_def,
definition ).
cnf(c_614,plain,
multiply(sk_c6,sk_c10) = sP9_iProver_def,
definition ).
cnf(c_615,plain,
inverse(sk_c6) = sP10_iProver_def,
definition ).
cnf(c_616,plain,
inverse(sk_c5) = sP11_iProver_def,
definition ).
cnf(c_617,plain,
multiply(sk_c5,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_618,plain,
inverse(sk_c4) = sP13_iProver_def,
definition ).
cnf(c_619,plain,
multiply(sk_c4,sk_c11) = sP14_iProver_def,
definition ).
cnf(c_620,plain,
inverse(sk_c2) = sP15_iProver_def,
definition ).
cnf(c_621,plain,
multiply(sk_c2,sk_c3) = sP16_iProver_def,
definition ).
cnf(c_622,plain,
multiply(sk_c1,sk_c10) = sP17_iProver_def,
definition ).
cnf(c_623,plain,
inverse(sk_c1) = sP18_iProver_def,
definition ).
cnf(c_624,negated_conjecture,
( sP4_iProver_def != sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_608,c_609]) ).
cnf(c_627,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c9) != sk_c10
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_607]) ).
cnf(c_628,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_606]) ).
cnf(c_629,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_605]) ).
cnf(c_630,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_604]) ).
cnf(c_636,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_97,c_616]) ).
cnf(c_637,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_96,c_617]) ).
cnf(c_638,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP13_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_95,c_618]) ).
cnf(c_639,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP14_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_94,c_619]) ).
cnf(c_641,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP15_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_92]) ).
cnf(c_642,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP15_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_650,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_83]) ).
cnf(c_651,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_661,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_662,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP17_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_670,negated_conjecture,
( sP9_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_671,negated_conjecture,
( sP10_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_674,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_675,negated_conjecture,
( sP14_iProver_def = sk_c10
| sP18_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_677,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_678,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_681,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_682,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_685,plain,
X0 = X0,
theory(equality) ).
cnf(c_686,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1099,plain,
( multiply(sP7_iProver_def,sk_c9) = sP5_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_641,c_610]) ).
cnf(c_1126,plain,
( multiply(sP15_iProver_def,sk_c9) = sP6_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_642,c_611]) ).
cnf(c_1143,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_641,c_613]) ).
cnf(c_1212,plain,
multiply(sP4_iProver_def,sk_c10) = identity,
inference(superposition,[status(thm)],[c_609,c_105]) ).
cnf(c_1213,plain,
multiply(sP13_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_618,c_105]) ).
cnf(c_1214,plain,
multiply(sP11_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_616,c_105]) ).
cnf(c_1216,plain,
multiply(sP7_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_612,c_105]) ).
cnf(c_1217,plain,
multiply(sP18_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_623,c_105]) ).
cnf(c_1218,plain,
multiply(sP15_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_620,c_105]) ).
cnf(c_1289,plain,
( sk_c9 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_686]) ).
cnf(c_1292,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_686]) ).
cnf(c_1293,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1292]) ).
cnf(c_1294,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_685]) ).
cnf(c_1304,plain,
( sk_c9 != sk_c9
| sP12_iProver_def != sk_c9
| sk_c9 = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1293]) ).
cnf(c_1310,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_650,c_613]) ).
cnf(c_1356,plain,
( sk_c9 != sk_c9
| sP4_iProver_def != sk_c9
| sk_c9 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_1293]) ).
cnf(c_1586,plain,
( sk_c9 != sP12_iProver_def
| sP4_iProver_def != sP12_iProver_def
| sP4_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_1289]) ).
cnf(c_1672,plain,
( multiply(sk_c4,sP17_iProver_def) = sP14_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_619]) ).
cnf(c_1718,plain,
( multiply(sk_c4,sP17_iProver_def) = sP14_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_662,c_619]) ).
cnf(c_2123,plain,
( multiply(sk_c4,sP18_iProver_def) = sP14_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_670,c_619]) ).
cnf(c_2209,plain,
( multiply(sk_c4,sP18_iProver_def) = sP14_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_671,c_619]) ).
cnf(c_2503,plain,
( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_677,c_613]) ).
cnf(c_2701,plain,
( sk_c10 = sP11_iProver_def
| sk_c9 = sP4_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_681]) ).
cnf(c_2704,plain,
( sk_c10 = sP8_iProver_def
| sk_c9 = sP4_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_678]) ).
cnf(c_2706,plain,
( multiply(sk_c3,sP12_iProver_def) = sP6_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_611]) ).
cnf(c_2850,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_613,c_106]) ).
cnf(c_2853,plain,
multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sP16_iProver_def,X0),
inference(superposition,[status(thm)],[c_621,c_106]) ).
cnf(c_2854,plain,
multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_611,c_106]) ).
cnf(c_2856,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_105,c_106]) ).
cnf(c_2858,plain,
multiply(sP4_iProver_def,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1212,c_106]) ).
cnf(c_2859,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1213,c_106]) ).
cnf(c_2860,plain,
multiply(sP11_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1214,c_106]) ).
cnf(c_2862,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1216,c_106]) ).
cnf(c_2863,plain,
multiply(sP18_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1217,c_106]) ).
cnf(c_2864,plain,
multiply(sP15_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1218,c_106]) ).
cnf(c_2866,plain,
multiply(sP15_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2864,c_104]) ).
cnf(c_2867,plain,
multiply(sP18_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2863,c_104]) ).
cnf(c_2868,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2862,c_104]) ).
cnf(c_2870,plain,
multiply(sP11_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2860,c_104]) ).
cnf(c_2871,plain,
multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2859,c_104]) ).
cnf(c_2872,plain,
multiply(sP4_iProver_def,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2858,c_104]) ).
cnf(c_3569,plain,
( inverse(sP4_iProver_def) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_1212,c_628]) ).
cnf(c_3722,plain,
( inverse(sk_c6) != sk_c11
| sk_c11 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_614,c_629]) ).
cnf(c_3723,plain,
( inverse(sk_c1) != sk_c11
| sk_c11 != sP17_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_622,c_629]) ).
cnf(c_3748,plain,
( sk_c11 != sP17_iProver_def
| sk_c11 != sP18_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3723,c_623]) ).
cnf(c_3752,plain,
( sk_c11 != sP9_iProver_def
| sk_c11 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3722,c_615]) ).
cnf(c_3873,plain,
( inverse(sk_c4) != sk_c11
| sk_c10 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_619,c_630]) ).
cnf(c_3875,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_105,c_630]) ).
cnf(c_3900,plain,
( sk_c10 != sP14_iProver_def
| sk_c11 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3873,c_618]) ).
cnf(c_6453,plain,
multiply(sP13_iProver_def,sP14_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_619,c_2871]) ).
cnf(c_9215,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP17_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1672,c_2871]) ).
cnf(c_9216,plain,
( sk_c11 = sP9_iProver_def
| sk_c11 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9215,c_6453]) ).
cnf(c_9227,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP17_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1718,c_2871]) ).
cnf(c_9228,plain,
( sk_c11 = sP10_iProver_def
| sk_c11 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9227,c_6453]) ).
cnf(c_9580,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP18_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2123,c_2871]) ).
cnf(c_9581,plain,
( sk_c11 = sP9_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9580,c_6453]) ).
cnf(c_9601,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP18_iProver_def
| sk_c11 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2209,c_2871]) ).
cnf(c_9602,plain,
( sk_c11 = sP10_iProver_def
| sk_c11 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9601,c_6453]) ).
cnf(c_10830,plain,
multiply(sk_c7,sP5_iProver_def) = multiply(sP8_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_610,c_2850]) ).
cnf(c_11372,plain,
multiply(sk_c2,sP6_iProver_def) = multiply(sP16_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_611,c_2853]) ).
cnf(c_12915,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2856,c_104]) ).
cnf(c_12953,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_104,c_12915]) ).
cnf(c_12954,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_105,c_12915]) ).
cnf(c_12955,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_106,c_12915]) ).
cnf(c_13127,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2872,c_12915]) ).
cnf(c_13128,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2871,c_12915]) ).
cnf(c_13129,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2870,c_12915]) ).
cnf(c_13131,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2868,c_12915]) ).
cnf(c_13132,plain,
multiply(inverse(sP18_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2867,c_12915]) ).
cnf(c_13133,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2866,c_12915]) ).
cnf(c_13172,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12915,c_12915]) ).
cnf(c_13921,plain,
( multiply(identity,inverse(identity)) != sk_c10
| sk_c10 != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_12953,c_627]) ).
cnf(c_14286,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12954,c_13172]) ).
cnf(c_14327,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14286,c_12953]) ).
cnf(c_14346,plain,
( multiply(identity,inverse(identity)) != sk_c10
| multiply(identity,sk_c9) != sk_c10
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_14327,c_627]) ).
cnf(c_14349,plain,
( multiply(identity,sk_c9) != sk_c10
| multiply(identity,identity) != sk_c10
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14346,c_14327]) ).
cnf(c_14353,plain,
( sk_c9 = sP4_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2701,c_682,c_1294,c_1304,c_1356,c_1586,c_2701]) ).
cnf(c_14354,plain,
( sk_c10 = sP11_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_14353]) ).
cnf(c_14461,plain,
( sk_c9 = sP4_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2704,c_682,c_1294,c_1304,c_1356,c_1586,c_2704]) ).
cnf(c_14462,plain,
( sk_c10 = sP8_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_14461]) ).
cnf(c_14623,plain,
multiply(sk_c10,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13127,c_105]) ).
cnf(c_14627,plain,
multiply(sk_c10,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_13127,c_14286]) ).
cnf(c_14667,plain,
( multiply(sP16_iProver_def,sP4_iProver_def) = identity
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_651,c_14623]) ).
cnf(c_14725,plain,
inverse(sP4_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_14627,c_14286]) ).
cnf(c_18538,plain,
multiply(sk_c4,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13128,c_105]) ).
cnf(c_18540,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c11
| multiply(sk_c4,sk_c11) != sk_c10
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_13128,c_630]) ).
cnf(c_18542,plain,
multiply(sk_c4,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_13128,c_14286]) ).
cnf(c_18543,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c11
| sk_c10 != sP14_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18540,c_619]) ).
cnf(c_18573,plain,
inverse(sP13_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_18542,c_14286]) ).
cnf(c_20003,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c10
| multiply(sk_c5,sk_c10) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_13129,c_628]) ).
cnf(c_20006,plain,
multiply(sk_c5,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13129,c_105]) ).
cnf(c_20010,plain,
multiply(sk_c5,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_13129,c_14286]) ).
cnf(c_20018,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c10
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20003,c_617]) ).
cnf(c_20289,plain,
inverse(sP11_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_20010,c_14286]) ).
cnf(c_20964,plain,
multiply(sk_c7,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13131,c_105]) ).
cnf(c_20967,plain,
multiply(sk_c7,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_13131,c_12915]) ).
cnf(c_20981,plain,
( sk_c9 = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_2503,c_20964]) ).
cnf(c_20984,plain,
( sk_c10 = sP16_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_1310,c_20964]) ).
cnf(c_20986,plain,
( sk_c3 = sP15_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_1143,c_20964]) ).
cnf(c_21079,plain,
( multiply(sk_c7,sP5_iProver_def) = sk_c9
| sk_c3 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1099,c_20967]) ).
cnf(c_21111,plain,
( multiply(sP8_iProver_def,sk_c9) = sk_c9
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21079,c_10830]) ).
cnf(c_21610,plain,
( inverse(sP16_iProver_def) = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20984,c_609]) ).
cnf(c_22070,plain,
( multiply(sk_c2,sP15_iProver_def) = sP16_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_20986,c_621]) ).
cnf(c_22311,plain,
multiply(sk_c1,identity) = inverse(sP18_iProver_def),
inference(superposition,[status(thm)],[c_13132,c_14286]) ).
cnf(c_22525,plain,
inverse(sP18_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_22311,c_14286]) ).
cnf(c_22666,plain,
multiply(sk_c2,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_13133,c_105]) ).
cnf(c_22669,plain,
multiply(sk_c2,multiply(sP15_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_13133,c_12915]) ).
cnf(c_23863,plain,
( multiply(sk_c2,sP6_iProver_def) = sk_c9
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1126,c_22669]) ).
cnf(c_23921,plain,
( multiply(sP16_iProver_def,sk_c9) = sk_c9
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23863,c_11372]) ).
cnf(c_26467,plain,
( identity = sP8_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22070,c_22666]) ).
cnf(c_26482,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_26467,c_14327]) ).
cnf(c_32523,plain,
( sk_c10 != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_3569,c_14725]) ).
cnf(c_32524,plain,
( sk_c9 != identity
| ~ sP2_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_32523]) ).
cnf(c_36295,plain,
( inverse(inverse(sP18_iProver_def)) != sP18_iProver_def
| sk_c10 != identity
| ~ sP0_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_675,c_3875]) ).
cnf(c_36296,plain,
( inverse(inverse(sP18_iProver_def)) != sP18_iProver_def
| sk_c10 != identity
| ~ sP0_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_674,c_3875]) ).
cnf(c_36386,plain,
( sk_c10 != identity
| sP18_iProver_def != sP18_iProver_def
| ~ sP0_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36296,c_623,c_22525]) ).
cnf(c_36387,plain,
( sk_c10 != identity
| ~ sP0_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_36386]) ).
cnf(c_36391,plain,
( sk_c10 != identity
| sP18_iProver_def != sP18_iProver_def
| ~ sP0_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_36295,c_623,c_22525]) ).
cnf(c_36392,plain,
( sk_c10 != identity
| ~ sP0_iProver_def
| sk_c10 = sP14_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_36391]) ).
cnf(c_52037,plain,
( sk_c11 != sP18_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3748,c_3752,c_3748,c_9216,c_9228]) ).
cnf(c_52039,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_52037,c_3752,c_9581,c_9602,c_52037]) ).
cnf(c_52048,plain,
( sk_c9 != sP4_iProver_def
| sP0_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_624,c_52039]) ).
cnf(c_52536,plain,
( identity = sP8_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_26482,c_21610]) ).
cnf(c_52656,plain,
( multiply(sP8_iProver_def,X0) = X0
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_52536,c_104]) ).
cnf(c_57752,plain,
multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP5_iProver_def)) = sk_c9,
inference(superposition,[status(thm)],[c_610,c_12955]) ).
cnf(c_57755,plain,
multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP6_iProver_def)) = sk_c9,
inference(superposition,[status(thm)],[c_611,c_12955]) ).
cnf(c_57781,plain,
( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sP6_iProver_def)) = sP12_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_2706,c_12955]) ).
cnf(c_57970,plain,
multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_14623,c_12955]) ).
cnf(c_58136,plain,
multiply(inverse(multiply(X0,sk_c10)),X0) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_57970,c_14286]) ).
cnf(c_63720,plain,
multiply(inverse(multiply(inverse(sP5_iProver_def),sk_c8)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_57752]) ).
cnf(c_64260,plain,
inverse(multiply(inverse(sP5_iProver_def),sk_c8)) = sk_c9,
inference(demodulation,[status(thm)],[c_63720,c_14286]) ).
cnf(c_64278,plain,
multiply(sk_c9,multiply(inverse(sP5_iProver_def),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_64260,c_105]) ).
cnf(c_64782,plain,
( multiply(identity,identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13921,c_14327]) ).
cnf(c_64783,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_64782,c_104]) ).
cnf(c_64956,plain,
multiply(inverse(sk_c9),identity) = multiply(inverse(sP5_iProver_def),sk_c8),
inference(superposition,[status(thm)],[c_64278,c_12915]) ).
cnf(c_65372,plain,
multiply(inverse(multiply(inverse(sP6_iProver_def),sk_c3)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_57755]) ).
cnf(c_67029,plain,
inverse(multiply(inverse(sP6_iProver_def),sk_c3)) = sk_c9,
inference(demodulation,[status(thm)],[c_65372,c_14286]) ).
cnf(c_67068,plain,
multiply(sk_c9,multiply(inverse(sP6_iProver_def),sk_c3)) = identity,
inference(superposition,[status(thm)],[c_67029,c_105]) ).
cnf(c_67358,plain,
multiply(inverse(sk_c9),identity) = multiply(inverse(sP6_iProver_def),sk_c3),
inference(superposition,[status(thm)],[c_67068,c_12915]) ).
cnf(c_67362,plain,
multiply(sP6_iProver_def,multiply(inverse(sP6_iProver_def),sk_c3)) = multiply(sk_c3,identity),
inference(superposition,[status(thm)],[c_67068,c_2854]) ).
cnf(c_67364,plain,
multiply(inverse(sP5_iProver_def),sk_c8) = multiply(inverse(sP6_iProver_def),sk_c3),
inference(light_normalisation,[status(thm)],[c_67358,c_64956]) ).
cnf(c_68196,plain,
( multiply(inverse(sk_c10),sP8_iProver_def) = sP4_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_52656,c_58136]) ).
cnf(c_68331,plain,
( multiply(sP4_iProver_def,sP8_iProver_def) = sP4_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_68196,c_609]) ).
cnf(c_68570,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_68331,c_67364,c_67362,c_67029,c_65372,c_64956,c_64783,c_57781,c_57755,c_52048,c_36392,c_36387,c_32524,c_23921,c_22666,c_21111,c_20981,c_20289,c_20018,c_20010,c_20006,c_18573,c_18543,c_18538,c_14725,c_14667,c_14627,c_14623,c_14462,c_14354,c_14349,c_14327,c_3900,c_1212,c_639,c_638,c_637,c_636,c_621,c_619,c_618,c_617,c_616,c_611,c_609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.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 23:52:13 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
% 17.82/3.20 % SZS status Started for theBenchmark.p
% 17.82/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 17.82/3.20
% 17.82/3.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.82/3.20
% 17.82/3.20 ------ iProver source info
% 17.82/3.20
% 17.82/3.20 git: date: 2024-05-02 19:28:25 +0000
% 17.82/3.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.82/3.20 git: non_committed_changes: false
% 17.82/3.20
% 17.82/3.20 ------ Parsing...successful
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.82/3.20
% 17.82/3.20 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.82/3.20
% 17.82/3.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.82/3.20 ------ Proving...
% 17.82/3.20 ------ Problem Properties
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20 clauses 77
% 17.82/3.20 conjectures 59
% 17.82/3.20 EPR 55
% 17.82/3.20 Horn 22
% 17.82/3.20 unary 18
% 17.82/3.20 binary 54
% 17.82/3.20 lits 143
% 17.82/3.20 lits eq 135
% 17.82/3.20 fd_pure 0
% 17.82/3.20 fd_pseudo 0
% 17.82/3.20 fd_cond 0
% 17.82/3.20 fd_pseudo_cond 0
% 17.82/3.20 AC symbols 0
% 17.82/3.20
% 17.82/3.20 ------ Schedule dynamic 5 is on
% 17.82/3.20
% 17.82/3.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20 ------
% 17.82/3.20 Current options:
% 17.82/3.20 ------
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20 ------ Proving...
% 17.82/3.20
% 17.82/3.20
% 17.82/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 17.82/3.20
% 17.82/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.82/3.21
% 17.82/3.21
%------------------------------------------------------------------------------