TSTP Solution File: GRP385-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP385-1 : 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 02:22:26 EDT 2024
% Result : Unsatisfiable 17.27s 3.12s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
inverse(sk_c10) = sk_c9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c10) != X3
| multiply(X4,sk_c10) != X5
| multiply(X6,sk_c8) != sk_c10
| multiply(sk_c10,X3) != sk_c9
| multiply(sk_c10,X5) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(X0) != X1
| inverse(X2) != sk_c10
| inverse(X4) != sk_c10
| inverse(X6) != sk_c10
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_92,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_93,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(X2,inverse(X2)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(X0) != sk_c10
| inverse(X1) != sk_c10
| inverse(X3) != sk_c10
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_90]) ).
cnf(c_99,plain,
( inverse(X3) != sk_c10
| inverse(X1) != sk_c10
| inverse(X0) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c10
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c8
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_94,c_49,c_94]) ).
cnf(c_100,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(X2,inverse(X2)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(X0) != sk_c10
| inverse(X1) != sk_c10
| inverse(X3) != sk_c10 ),
inference(renaming,[status(thm)],[c_99]) ).
cnf(c_472,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_100]) ).
cnf(c_473,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_100]) ).
cnf(c_474,negated_conjecture,
( multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_100]) ).
cnf(c_475,negated_conjecture,
( multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_100]) ).
cnf(c_476,plain,
multiply(sk_c10,sk_c8) = sP3_iProver_def,
definition ).
cnf(c_477,plain,
multiply(sk_c9,sk_c8) = sP4_iProver_def,
definition ).
cnf(c_478,plain,
multiply(sk_c7,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_479,plain,
inverse(sk_c1) = sP6_iProver_def,
definition ).
cnf(c_480,plain,
inverse(sk_c7) = sP7_iProver_def,
definition ).
cnf(c_481,plain,
multiply(sk_c6,sk_c9) = sP8_iProver_def,
definition ).
cnf(c_482,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_483,plain,
multiply(sk_c5,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_484,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_485,plain,
multiply(sk_c3,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_486,plain,
multiply(sk_c10,sk_c4) = sP13_iProver_def,
definition ).
cnf(c_487,plain,
multiply(sk_c1,sk_c10) = sP14_iProver_def,
definition ).
cnf(c_488,plain,
multiply(sk_c10,sk_c2) = sP15_iProver_def,
definition ).
cnf(c_489,plain,
inverse(sk_c10) = sP16_iProver_def,
definition ).
cnf(c_490,negated_conjecture,
( sP3_iProver_def != sk_c9
| sP4_iProver_def != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_475,c_477,c_476]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_474]) ).
cnf(c_493,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_473]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_472]) ).
cnf(c_495,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP6_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_89,c_479,c_478]) ).
cnf(c_496,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP7_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_88,c_480]) ).
cnf(c_497,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_87,c_481]) ).
cnf(c_498,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_86,c_482]) ).
cnf(c_499,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_85,c_483]) ).
cnf(c_500,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_84,c_484]) ).
cnf(c_501,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP12_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_83,c_485]) ).
cnf(c_502,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_82,c_486]) ).
cnf(c_503,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP14_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_81,c_487]) ).
cnf(c_508,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP14_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_509,negated_conjecture,
( sP12_iProver_def = sk_c4
| sP14_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_510,negated_conjecture,
( sP13_iProver_def = sk_c9
| sP14_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_511,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_73,c_488]) ).
cnf(c_516,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_517,negated_conjecture,
( sP12_iProver_def = sk_c4
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_518,negated_conjecture,
( sP13_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_519,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP5_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_524,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_525,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP12_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_526,negated_conjecture,
( sP3_iProver_def = sk_c9
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_527,negated_conjecture,
( sP4_iProver_def = sk_c10
| sP5_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_528,negated_conjecture,
( sP4_iProver_def = sk_c10
| sP7_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_535,negated_conjecture,
sP16_iProver_def = sk_c9,
inference(demodulation,[status(thm)],[c_49,c_489]) ).
cnf(c_536,plain,
X0 = X0,
theory(equality) ).
cnf(c_537,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_542,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_856,plain,
multiply(sP16_iProver_def,sk_c8) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_477,c_535]) ).
cnf(c_869,plain,
( sk_c10 = sP6_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_502,c_535]) ).
cnf(c_918,plain,
multiply(sk_c6,sP16_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_481,c_535]) ).
cnf(c_947,plain,
( multiply(sk_c10,sP12_iProver_def) = sP13_iProver_def
| sk_c2 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_509,c_486]) ).
cnf(c_973,plain,
( multiply(sP6_iProver_def,sk_c2) = sP15_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_869,c_488]) ).
cnf(c_976,plain,
( multiply(sP6_iProver_def,sk_c2) = sP15_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_495,c_488]) ).
cnf(c_1000,plain,
multiply(sP16_iProver_def,sk_c10) = identity,
inference(superposition,[status(thm)],[c_489,c_92]) ).
cnf(c_1001,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_484,c_92]) ).
cnf(c_1003,plain,
multiply(sP7_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_480,c_92]) ).
cnf(c_1004,plain,
multiply(sP6_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_479,c_92]) ).
cnf(c_1008,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1021,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1008]) ).
cnf(c_1022,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_536]) ).
cnf(c_1030,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_1033,plain,
( sk_c9 != sk_c9
| sP16_iProver_def != sk_c9
| sk_c9 = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_1021]) ).
cnf(c_1035,plain,
( sk_c2 = sP14_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_510,c_535]) ).
cnf(c_1043,plain,
( sk_c10 = sP5_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_511,c_535]) ).
cnf(c_1093,plain,
( X0 != sP16_iProver_def
| sk_c9 != sP16_iProver_def
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1008]) ).
cnf(c_1230,plain,
( sk_c10 = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_516,c_535]) ).
cnf(c_1241,plain,
( sP5_iProver_def = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1230,c_1043]) ).
cnf(c_1245,plain,
( multiply(sP11_iProver_def,sk_c4) = sP13_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1230,c_486]) ).
cnf(c_1284,plain,
( X0 != sP15_iProver_def
| sk_c9 != sP15_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_1287,plain,
( sk_c10 != sP15_iProver_def
| sk_c9 != sP15_iProver_def
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1284]) ).
cnf(c_1306,plain,
( sk_c4 = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_517,c_535]) ).
cnf(c_1314,plain,
( sP13_iProver_def = sP16_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_518,c_535]) ).
cnf(c_1335,plain,
( sk_c10 = sP5_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_519,c_535]) ).
cnf(c_1531,plain,
( sk_c10 = sP11_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_524,c_535]) ).
cnf(c_1544,plain,
( sP3_iProver_def = sP16_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1531,c_1335]) ).
cnf(c_1550,plain,
( multiply(sP11_iProver_def,sk_c4) = sP13_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1531,c_486]) ).
cnf(c_1591,plain,
( sk_c4 = sP12_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_525,c_535]) ).
cnf(c_1613,plain,
( sP3_iProver_def = sP16_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_526,c_535]) ).
cnf(c_1650,plain,
( multiply(sk_c1,sP5_iProver_def) = sP14_iProver_def
| sk_c10 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_527,c_487]) ).
cnf(c_2087,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_92,c_93]) ).
cnf(c_2091,plain,
multiply(sP16_iProver_def,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1000,c_93]) ).
cnf(c_2092,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1001,c_93]) ).
cnf(c_2094,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1003,c_93]) ).
cnf(c_2095,plain,
multiply(sP6_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1004,c_93]) ).
cnf(c_2097,plain,
multiply(sP6_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2095,c_91]) ).
cnf(c_2098,plain,
multiply(sP7_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2094,c_91]) ).
cnf(c_2100,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2092,c_91]) ).
cnf(c_2101,plain,
multiply(sP16_iProver_def,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2091,c_91]) ).
cnf(c_2472,plain,
( sk_c10 != sP4_iProver_def
| sP3_iProver_def != sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_490,c_535]) ).
cnf(c_2535,plain,
( inverse(sP16_iProver_def) != sk_c10
| sk_c10 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_856,c_492]) ).
cnf(c_2646,plain,
( multiply(sk_c10,multiply(X0,sk_c10)) != sP16_iProver_def
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_493,c_535]) ).
cnf(c_2669,plain,
( multiply(sk_c10,sP12_iProver_def) != sP16_iProver_def
| inverse(sk_c3) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_485,c_2646]) ).
cnf(c_2701,plain,
( multiply(sk_c10,sP12_iProver_def) != sP16_iProver_def
| sk_c10 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2669,c_484]) ).
cnf(c_2799,plain,
( sk_c9 != sP16_iProver_def
| sP15_iProver_def != sP16_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(instantiation,[status(thm)],[c_1093]) ).
cnf(c_2829,plain,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sP16_iProver_def) != sk_c8
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_494,c_535]) ).
cnf(c_2840,plain,
( multiply(inverse(sk_c5),sP16_iProver_def) != sk_c8
| multiply(sk_c5,sP9_iProver_def) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_2829]) ).
cnf(c_2854,plain,
( multiply(sk_c5,sP9_iProver_def) != sk_c8
| multiply(sP9_iProver_def,sP16_iProver_def) != sk_c8
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2840,c_482]) ).
cnf(c_3737,plain,
( sP3_iProver_def = sP15_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1544,c_1241]) ).
cnf(c_3833,plain,
multiply(sP6_iProver_def,sP14_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_487,c_2097]) ).
cnf(c_4050,plain,
multiply(sP7_iProver_def,sP5_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_478,c_2098]) ).
cnf(c_4085,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_485,c_2100]) ).
cnf(c_4101,plain,
multiply(sP16_iProver_def,sP13_iProver_def) = sk_c4,
inference(superposition,[status(thm)],[c_486,c_2101]) ).
cnf(c_4102,plain,
multiply(sP16_iProver_def,sP3_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_476,c_2101]) ).
cnf(c_4103,plain,
multiply(sP16_iProver_def,sP15_iProver_def) = sk_c2,
inference(superposition,[status(thm)],[c_488,c_2101]) ).
cnf(c_4114,plain,
( multiply(sP16_iProver_def,multiply(sP7_iProver_def,X0)) = X0
| sk_c10 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_528,c_2101]) ).
cnf(c_4124,plain,
( multiply(sP16_iProver_def,multiply(sP7_iProver_def,X0)) = X0
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_496,c_2101]) ).
cnf(c_4249,plain,
( inverse(sk_c10) != X0
| X1 != X0
| inverse(sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_5886,plain,
( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
| sP5_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3737,c_4103]) ).
cnf(c_5887,plain,
( sk_c8 = sk_c2
| sP5_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5886,c_4102]) ).
cnf(c_6408,plain,
( multiply(sP6_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_976]) ).
cnf(c_6410,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6408,c_3833]) ).
cnf(c_7300,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_6410,c_495]) ).
cnf(c_8331,plain,
( multiply(sP6_iProver_def,sP14_iProver_def) = sP5_iProver_def
| sk_c10 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1650,c_2097]) ).
cnf(c_8332,plain,
( sk_c10 = sP4_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8331,c_3833]) ).
cnf(c_9385,plain,
( multiply(sP6_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1035,c_973]) ).
cnf(c_9392,plain,
( sk_c10 = sP15_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9385,c_3833]) ).
cnf(c_9501,plain,
( inverse(sP15_iProver_def) = sP16_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_9392,c_489]) ).
cnf(c_13891,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1306,c_1245]) ).
cnf(c_13895,plain,
( sk_c10 = sP13_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13891,c_4085]) ).
cnf(c_14004,plain,
( sP5_iProver_def = sP13_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_13895,c_1043]) ).
cnf(c_15514,plain,
( inverse(sk_c10) != sk_c9
| X0 != sk_c9
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_4249]) ).
cnf(c_15515,plain,
( inverse(sk_c10) != sk_c9
| sk_c10 != sk_c9
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_15514]) ).
cnf(c_17446,plain,
( multiply(sP16_iProver_def,sk_c8) = sP5_iProver_def
| sk_c10 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_4050,c_4114]) ).
cnf(c_17451,plain,
( sk_c10 = sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17446,c_856]) ).
cnf(c_17710,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1591,c_1550]) ).
cnf(c_17717,plain,
( sk_c10 = sP13_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17710,c_4085]) ).
cnf(c_17836,plain,
( sP3_iProver_def = sP16_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_17717,c_1335]) ).
cnf(c_17846,plain,
( inverse(sP13_iProver_def) = sP16_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_17717,c_489]) ).
cnf(c_18138,plain,
( sP4_iProver_def = sP5_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_17451,c_7300]) ).
cnf(c_18161,plain,
( sP3_iProver_def = sP16_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_17451,c_1335]) ).
cnf(c_18164,plain,
( sP4_iProver_def = sP5_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_17451,c_1043]) ).
cnf(c_18639,plain,
( sP3_iProver_def = sP15_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_17836,c_14004]) ).
cnf(c_18876,plain,
( multiply(sP16_iProver_def,sk_c8) = sP5_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_4050,c_4124]) ).
cnf(c_18881,plain,
( sk_c10 = sP6_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18876,c_856]) ).
cnf(c_19287,plain,
( sk_c10 != sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_18161,c_2472]) ).
cnf(c_19542,plain,
( sP3_iProver_def = sP15_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_18164,c_18161]) ).
cnf(c_20586,plain,
( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_18639,c_4103]) ).
cnf(c_20587,plain,
( sk_c8 = sk_c2
| sP5_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20586,c_4102]) ).
cnf(c_20701,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_18881,c_489]) ).
cnf(c_20777,plain,
( sP3_iProver_def = sP6_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_18138,c_19542]) ).
cnf(c_20784,plain,
( multiply(sP16_iProver_def,sP3_iProver_def) = sk_c2
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_19542,c_4103]) ).
cnf(c_20787,plain,
( sk_c8 = sk_c2
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20784,c_4102]) ).
cnf(c_22073,plain,
( sk_c10 = sP11_iProver_def
| sk_c8 = sP14_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_20587,c_508]) ).
cnf(c_23658,plain,
( inverse(sP3_iProver_def) = sP16_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_20777,c_20701]) ).
cnf(c_23821,plain,
( sk_c10 = sP5_iProver_def
| sk_c8 = sP14_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_20787,c_503]) ).
cnf(c_28182,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2087,c_91]) ).
cnf(c_28233,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_92,c_28182]) ).
cnf(c_28253,plain,
multiply(inverse(sP16_iProver_def),sP4_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_856,c_28182]) ).
cnf(c_28385,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2101,c_28182]) ).
cnf(c_28423,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_28182,c_28182]) ).
cnf(c_29756,plain,
multiply(sk_c10,sP4_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_28253,c_28385]) ).
cnf(c_30357,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_28233,c_28423]) ).
cnf(c_43030,plain,
( multiply(sP16_iProver_def,sP3_iProver_def) = identity
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_23658,c_92]) ).
cnf(c_43031,plain,
( sk_c8 = identity
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43030,c_4102]) ).
cnf(c_43604,plain,
( multiply(sk_c10,sP14_iProver_def) = sP3_iProver_def
| sk_c10 = sP11_iProver_def
| sP5_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_22073,c_476]) ).
cnf(c_45141,plain,
( multiply(X0,identity) != sk_c10
| inverse(X0) != sk_c10
| ~ sP2_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_43031,c_492]) ).
cnf(c_45217,plain,
( inverse(X0) != sk_c10
| X0 != sk_c10
| ~ sP2_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_45141,c_30357]) ).
cnf(c_45225,plain,
( inverse(sk_c10) != sk_c10
| sk_c10 != sk_c10
| ~ sP2_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_45217]) ).
cnf(c_45378,plain,
multiply(sk_c10,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_28385,c_92]) ).
cnf(c_45382,plain,
multiply(sk_c10,multiply(sP16_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_28385,c_28182]) ).
cnf(c_45383,plain,
multiply(sk_c10,identity) = inverse(sP16_iProver_def),
inference(superposition,[status(thm)],[c_28385,c_30357]) ).
cnf(c_46191,plain,
inverse(sP16_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_45383,c_30357]) ).
cnf(c_46212,plain,
( inverse(sP13_iProver_def) = sk_c10
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1613,c_46191]) ).
cnf(c_46213,plain,
( inverse(sP15_iProver_def) = sk_c10
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1314,c_46191]) ).
cnf(c_46215,plain,
( multiply(inverse(sP16_iProver_def),sP16_iProver_def) != sk_c8
| multiply(sP16_iProver_def,sk_c10) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_46191,c_2829]) ).
cnf(c_46259,plain,
( sk_c8 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46215,c_1000,c_45378,c_46191]) ).
cnf(c_46350,plain,
( ~ sP0_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_43031,c_46259]) ).
cnf(c_47620,plain,
( sk_c10 = sP16_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_46212,c_17846]) ).
cnf(c_47657,plain,
( sk_c10 = sP16_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_46213,c_9501]) ).
cnf(c_48122,plain,
( inverse(sP16_iProver_def) != sk_c10
| sk_c10 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_45382,c_2646]) ).
cnf(c_48261,plain,
( sk_c10 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_48122,c_46191]) ).
cnf(c_48461,plain,
( sP13_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_13895,c_48261]) ).
cnf(c_48477,plain,
( sP15_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_6410,c_48261]) ).
cnf(c_48500,plain,
( sP6_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_495,c_48261]) ).
cnf(c_49006,plain,
( ~ sP1_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_48500,c_47657,c_48261,c_48477,c_48461]) ).
cnf(c_50549,plain,
( sk_c10 = sP5_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_23821,c_49,c_542,c_535,c_1022,c_1033,c_1287,c_2799,c_6410,c_8332,c_15515,c_18164,c_19287,c_45225,c_46350,c_49006]) ).
cnf(c_50626,plain,
sP4_iProver_def = sP5_iProver_def,
inference(superposition,[status(thm)],[c_50549,c_17451]) ).
cnf(c_50733,plain,
( sk_c8 = sk_c2
| sP4_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_20587,c_50626]) ).
cnf(c_50779,plain,
( sk_c8 = sk_c2
| sP4_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_5887,c_50626]) ).
cnf(c_50814,plain,
sk_c10 = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_527,c_50626]) ).
cnf(c_50828,plain,
( sP3_iProver_def != sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2472,c_50814]) ).
cnf(c_50832,plain,
( sP4_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_48261,c_50814]) ).
cnf(c_50838,plain,
inverse(sP16_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_46191,c_50814]) ).
cnf(c_50839,plain,
multiply(sP4_iProver_def,sP16_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_45378,c_50814]) ).
cnf(c_50854,plain,
multiply(sP4_iProver_def,sP4_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_29756,c_50814]) ).
cnf(c_50867,plain,
( sP3_iProver_def = sP16_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_17717,c_50814]) ).
cnf(c_50920,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_4085,c_50814]) ).
cnf(c_50925,plain,
multiply(sP6_iProver_def,sP14_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_3833,c_50814]) ).
cnf(c_50940,plain,
multiply(sP16_iProver_def,sP4_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_1000,c_50814]) ).
cnf(c_50943,plain,
multiply(sP4_iProver_def,sk_c4) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_486,c_50814]) ).
cnf(c_50945,plain,
( sk_c2 = sP14_iProver_def
| sP4_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_508,c_50814]) ).
cnf(c_50948,plain,
inverse(sP4_iProver_def) = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_489,c_50814]) ).
cnf(c_50949,plain,
multiply(sP4_iProver_def,sk_c8) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_476,c_50814]) ).
cnf(c_51941,plain,
multiply(inverse(sP11_iProver_def),sP4_iProver_def) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_50920,c_28182]) ).
cnf(c_51948,plain,
multiply(inverse(sP6_iProver_def),sP4_iProver_def) = sP14_iProver_def,
inference(superposition,[status(thm)],[c_50925,c_28182]) ).
cnf(c_52654,plain,
( inverse(sP16_iProver_def) != sk_c10
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2535,c_2535,c_50814]) ).
cnf(c_52656,plain,
( sP4_iProver_def != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_52654,c_50814,c_50838]) ).
cnf(c_52657,plain,
~ sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_52656]) ).
cnf(c_52848,plain,
( sP3_iProver_def = sP16_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47620,c_50814]) ).
cnf(c_52868,plain,
( ~ sP1_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_52848,c_50832]) ).
cnf(c_52869,plain,
( multiply(sP4_iProver_def,sP4_iProver_def) = identity
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_52848,c_50940]) ).
cnf(c_52907,plain,
( multiply(sP4_iProver_def,sk_c8) = sP4_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_52848,c_856]) ).
cnf(c_52911,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_52907,c_50949]) ).
cnf(c_52937,plain,
( sk_c8 = identity
| sP3_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_52869,c_50854]) ).
cnf(c_53204,plain,
( sP4_iProver_def = sP16_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47657,c_50814]) ).
cnf(c_53223,plain,
( sP4_iProver_def != sP13_iProver_def
| ~ sP1_iProver_def
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_53204,c_50832]) ).
cnf(c_53251,plain,
( multiply(sP13_iProver_def,sP13_iProver_def) = sk_c4
| sP4_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_53204,c_4101]) ).
cnf(c_53637,plain,
( sk_c8 = sP14_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_50733,c_1035]) ).
cnf(c_53907,plain,
( sk_c8 = sP14_iProver_def
| sP4_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_50779,c_50945]) ).
cnf(c_54162,plain,
( sP3_iProver_def != sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_50828,c_52657]) ).
cnf(c_54170,plain,
( sP3_iProver_def != sP4_iProver_def
| sP3_iProver_def = sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_52848,c_54162]) ).
cnf(c_54381,plain,
sP3_iProver_def = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_50867,c_46259,c_52868,c_52937,c_52911,c_54170]) ).
cnf(c_54384,plain,
( sP3_iProver_def != sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_54162,c_54381]) ).
cnf(c_54385,plain,
( sP3_iProver_def = sP4_iProver_def
| sP3_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_53204,c_54381]) ).
cnf(c_54398,plain,
( sP3_iProver_def != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_50832,c_54381]) ).
cnf(c_54399,plain,
multiply(sP3_iProver_def,sP4_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_50940,c_54381]) ).
cnf(c_54400,plain,
multiply(sP4_iProver_def,sP3_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_50839,c_54381]) ).
cnf(c_54401,plain,
inverse(sP4_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_50948,c_54381]) ).
cnf(c_54478,plain,
multiply(sP3_iProver_def,sP3_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_4102,c_54381]) ).
cnf(c_54481,plain,
multiply(sP3_iProver_def,sP13_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_4101,c_54381]) ).
cnf(c_54496,plain,
multiply(sk_c6,sP3_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_918,c_54381]) ).
cnf(c_54498,plain,
sk_c9 = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_535,c_54381]) ).
cnf(c_54501,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_54384]) ).
cnf(c_55240,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_54501,c_54498,c_54496,c_54481,c_54478,c_54401,c_54400,c_54399,c_54398,c_54385,c_54381,c_53907,c_53637,c_53251,c_53223,c_51948,c_51941,c_50949,c_50943,c_50925,c_50854,c_50838,c_50832,c_50814,c_50733,c_50626,c_46259,c_45383,c_43604,c_2854,c_2701,c_947,c_509,c_502,c_501,c_500,c_499,c_498,c_497,c_483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu May 2 23:47:20 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 17.27/3.12 % SZS status Started for theBenchmark.p
% 17.27/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 17.27/3.12
% 17.27/3.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.27/3.12
% 17.27/3.12 ------ iProver source info
% 17.27/3.12
% 17.27/3.12 git: date: 2024-05-02 19:28:25 +0000
% 17.27/3.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.27/3.12 git: non_committed_changes: false
% 17.27/3.12
% 17.27/3.12 ------ Parsing...successful
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.27/3.12
% 17.27/3.12 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.27/3.12
% 17.27/3.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.27/3.12 ------ Proving...
% 17.27/3.12 ------ Problem Properties
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12 clauses 62
% 17.27/3.12 conjectures 45
% 17.27/3.12 EPR 42
% 17.27/3.12 Horn 21
% 17.27/3.12 unary 18
% 17.27/3.12 binary 40
% 17.27/3.12 lits 112
% 17.27/3.12 lits eq 106
% 17.27/3.12 fd_pure 0
% 17.27/3.12 fd_pseudo 0
% 17.27/3.12 fd_cond 0
% 17.27/3.12 fd_pseudo_cond 0
% 17.27/3.12 AC symbols 0
% 17.27/3.12
% 17.27/3.12 ------ Schedule dynamic 5 is on
% 17.27/3.12
% 17.27/3.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12 ------
% 17.27/3.12 Current options:
% 17.27/3.12 ------
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12 ------ Proving...
% 17.27/3.12
% 17.27/3.12
% 17.27/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 17.27/3.12
% 17.27/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.27/3.12
% 17.27/3.13
%------------------------------------------------------------------------------