TSTP Solution File: GRP363-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP363-1 : 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 02:22:20 EDT 2024
% Result : Unsatisfiable 7.95s 1.64s
% Output : CNFRefutation 7.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c7) != X3
| multiply(sk_c7,X3) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_75,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_76,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(sk_c6) != sk_c5 ),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_318,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_77]) ).
cnf(c_319,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_77]) ).
cnf(c_320,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_77]) ).
cnf(c_321,negated_conjecture,
( multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).
cnf(c_322,plain,
multiply(sk_c6,sk_c5) = sP3_iProver_def,
definition ).
cnf(c_323,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_324,plain,
inverse(sk_c6) = sP5_iProver_def,
definition ).
cnf(c_325,plain,
inverse(sk_c3) = sP6_iProver_def,
definition ).
cnf(c_326,plain,
inverse(sk_c1) = sP7_iProver_def,
definition ).
cnf(c_327,plain,
multiply(sk_c3,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_328,plain,
multiply(sk_c7,sk_c4) = sP9_iProver_def,
definition ).
cnf(c_329,plain,
inverse(sk_c2) = sP10_iProver_def,
definition ).
cnf(c_330,plain,
multiply(sk_c2,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_331,plain,
multiply(sk_c1,sk_c6) = sP12_iProver_def,
definition ).
cnf(c_332,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_321,c_324,c_323,c_322]) ).
cnf(c_333,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_320]) ).
cnf(c_334,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_319]) ).
cnf(c_335,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_318]) ).
cnf(c_336,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_326,c_325]) ).
cnf(c_337,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_71,c_327]) ).
cnf(c_338,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70,c_328]) ).
cnf(c_339,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69,c_329]) ).
cnf(c_340,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_330]) ).
cnf(c_341,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_342,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66,c_331]) ).
cnf(c_343,negated_conjecture,
( sP8_iProver_def = sk_c4
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_344,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_345,negated_conjecture,
( sP10_iProver_def = sk_c6
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_346,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_347,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_348,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_349,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP8_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_350,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_351,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_352,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_353,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_357,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_358,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_359,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP4_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_562,plain,
( sk_c6 = sP7_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_336,c_340]) ).
cnf(c_693,plain,
( multiply(sk_c6,sP5_iProver_def) = sP3_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_348,c_322]) ).
cnf(c_694,plain,
( sk_c7 = sP6_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_348,c_342]) ).
cnf(c_726,plain,
( sk_c6 = sP9_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_344]) ).
cnf(c_760,plain,
( sk_c6 = sP10_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_351,c_345]) ).
cnf(c_806,plain,
multiply(sP10_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_329,c_75]) ).
cnf(c_807,plain,
multiply(sP6_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_325,c_75]) ).
cnf(c_808,plain,
multiply(sP5_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_324,c_75]) ).
cnf(c_809,plain,
multiply(sP7_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_326,c_75]) ).
cnf(c_824,plain,
( sk_c7 = sP11_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_346]) ).
cnf(c_827,plain,
( multiply(sk_c6,sP5_iProver_def) = sP3_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_322]) ).
cnf(c_1101,plain,
( inverse(sk_c1) != sk_c6
| sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_331,c_334]) ).
cnf(c_1113,plain,
( sk_c6 != sP7_iProver_def
| sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1101,c_326]) ).
cnf(c_1150,plain,
( inverse(sk_c2) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_330,c_335]) ).
cnf(c_1167,plain,
( sk_c6 != sP10_iProver_def
| sk_c5 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1150,c_329]) ).
cnf(c_1255,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_323,c_76]) ).
cnf(c_1256,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_330,c_76]) ).
cnf(c_1259,plain,
multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_331,c_76]) ).
cnf(c_1261,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
cnf(c_1263,plain,
multiply(sP10_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_806,c_76]) ).
cnf(c_1264,plain,
multiply(sP6_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_807,c_76]) ).
cnf(c_1265,plain,
multiply(sP5_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_808,c_76]) ).
cnf(c_1266,plain,
multiply(sP7_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_809,c_76]) ).
cnf(c_1270,plain,
multiply(sP7_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1266,c_74]) ).
cnf(c_1271,plain,
multiply(sP5_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1265,c_74]) ).
cnf(c_1272,plain,
multiply(sP6_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1264,c_74]) ).
cnf(c_1273,plain,
multiply(sP10_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1263,c_74]) ).
cnf(c_1348,plain,
( multiply(sk_c1,sP7_iProver_def) = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_562,c_331]) ).
cnf(c_1535,plain,
( sP5_iProver_def = sP12_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_760,c_726]) ).
cnf(c_1615,plain,
( sP5_iProver_def = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_824,c_694]) ).
cnf(c_1620,plain,
( multiply(sk_c3,sP11_iProver_def) = sP8_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_824,c_327]) ).
cnf(c_1811,plain,
( multiply(sk_c7,sP8_iProver_def) != sk_c6
| inverse(sk_c3) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_327,c_333]) ).
cnf(c_1812,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(identity) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_74,c_333]) ).
cnf(c_1827,plain,
( multiply(sk_c7,sP8_iProver_def) != sk_c6
| sk_c7 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1811,c_325]) ).
cnf(c_2346,plain,
multiply(sP5_iProver_def,sP3_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_322,c_1271]) ).
cnf(c_2347,plain,
multiply(sP5_iProver_def,sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_323,c_1271]) ).
cnf(c_2447,plain,
multiply(sP6_iProver_def,sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_327,c_1272]) ).
cnf(c_2452,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_330,c_1273]) ).
cnf(c_5760,plain,
multiply(sk_c6,sP9_iProver_def) = multiply(sP4_iProver_def,sk_c4),
inference(superposition,[status(thm)],[c_328,c_1255]) ).
cnf(c_5921,plain,
multiply(sP5_iProver_def,multiply(sP4_iProver_def,sk_c4)) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_5760,c_1271]) ).
cnf(c_6433,plain,
multiply(sk_c1,sP3_iProver_def) = multiply(sP12_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_322,c_1259]) ).
cnf(c_6434,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP12_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_323,c_1259]) ).
cnf(c_6453,plain,
multiply(sk_c1,multiply(sP4_iProver_def,sk_c4)) = multiply(sP12_iProver_def,sP9_iProver_def),
inference(superposition,[status(thm)],[c_5760,c_1259]) ).
cnf(c_6642,plain,
multiply(sP7_iProver_def,multiply(sP12_iProver_def,sk_c5)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_6433,c_1270]) ).
cnf(c_6645,plain,
multiply(sP7_iProver_def,multiply(sP12_iProver_def,sk_c7)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6434,c_1270]) ).
cnf(c_6933,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1261,c_74]) ).
cnf(c_6950,plain,
multiply(inverse(sk_c7),sP9_iProver_def) = sk_c4,
inference(superposition,[status(thm)],[c_328,c_6933]) ).
cnf(c_6953,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_6933]) ).
cnf(c_6954,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_6933]) ).
cnf(c_7030,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1273,c_6933]) ).
cnf(c_7031,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1272,c_6933]) ).
cnf(c_7032,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1271,c_6933]) ).
cnf(c_7033,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1270,c_6933]) ).
cnf(c_7051,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6933,c_6933]) ).
cnf(c_7367,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_6954,c_7051]) ).
cnf(c_7385,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7367,c_6953]) ).
cnf(c_9296,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7030,c_335]) ).
cnf(c_9297,plain,
( multiply(sk_c2,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7030,c_334]) ).
cnf(c_9298,plain,
multiply(sk_c2,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7030,c_75]) ).
cnf(c_9303,plain,
multiply(sk_c2,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_7030,c_7367]) ).
cnf(c_9306,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c6
| sk_c7 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9297,c_330]) ).
cnf(c_9310,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9296,c_330]) ).
cnf(c_9344,plain,
inverse(sP10_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_9303,c_7367]) ).
cnf(c_9562,plain,
multiply(sk_c3,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7031,c_75]) ).
cnf(c_10347,plain,
multiply(sk_c6,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7032,c_75]) ).
cnf(c_10350,plain,
( multiply(sk_c7,multiply(sk_c6,sk_c7)) != sk_c6
| inverse(inverse(sP5_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_7032,c_333]) ).
cnf(c_10352,plain,
multiply(sk_c6,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_7032,c_7367]) ).
cnf(c_10361,plain,
( multiply(sk_c7,sP4_iProver_def) != sk_c6
| inverse(inverse(sP5_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10350,c_323]) ).
cnf(c_10366,plain,
( sk_c7 = sP11_iProver_def
| identity = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_827,c_10347]) ).
cnf(c_10369,plain,
( sk_c7 = sP6_iProver_def
| identity = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_693,c_10347]) ).
cnf(c_10415,plain,
multiply(sk_c1,identity) = multiply(sP12_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_10347,c_1259]) ).
cnf(c_10416,plain,
multiply(sk_c2,identity) = multiply(sP11_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_10347,c_1256]) ).
cnf(c_10419,plain,
multiply(sP11_iProver_def,sP5_iProver_def) = sk_c2,
inference(light_normalisation,[status(thm)],[c_10416,c_9303,c_9344]) ).
cnf(c_10522,plain,
inverse(sP5_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_10352,c_7367]) ).
cnf(c_12048,plain,
( identity = sP3_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_10369,c_10366]) ).
cnf(c_12376,plain,
multiply(sP12_iProver_def,sP5_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_10415,c_7367]) ).
cnf(c_12382,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = sk_c1
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1535,c_12376]) ).
cnf(c_13297,plain,
( multiply(sk_c1,sk_c6) != sk_c5
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7033,c_335]) ).
cnf(c_13299,plain,
multiply(sk_c1,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7033,c_75]) ).
cnf(c_13304,plain,
multiply(sk_c1,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_7033,c_7367]) ).
cnf(c_13323,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c6
| sk_c5 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13297,c_331]) ).
cnf(c_13333,plain,
( identity = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1348,c_13299]) ).
cnf(c_13465,plain,
inverse(sP7_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_13304,c_7367]) ).
cnf(c_13517,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1812,c_7385]) ).
cnf(c_14551,plain,
( sP3_iProver_def = sP12_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_13333,c_12048]) ).
cnf(c_16389,plain,
( sP3_iProver_def = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_14551,c_1615]) ).
cnf(c_17146,plain,
( multiply(sk_c3,sP6_iProver_def) = sP8_iProver_def
| sP3_iProver_def = sP5_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_16389,c_1620]) ).
cnf(c_17172,plain,
( identity = sP8_iProver_def
| sP3_iProver_def = sP5_iProver_def
| sP5_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17146,c_9562]) ).
cnf(c_18031,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_17172,c_13517,c_13465,c_13323,c_13304,c_13299,c_12382,c_12376,c_10522,c_10419,c_10361,c_10352,c_9562,c_9344,c_9310,c_9306,c_9303,c_9298,c_7385,c_6950,c_6645,c_6642,c_6453,c_6434,c_6433,c_5921,c_5760,c_2452,c_2447,c_2347,c_2346,c_1827,c_1167,c_1113,c_809,c_808,c_359,c_358,c_357,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_343,c_341,c_340,c_339,c_338,c_337,c_336,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_324,c_323,c_322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:00:13 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 7.95/1.64 % SZS status Started for theBenchmark.p
% 7.95/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.64
% 7.95/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.64
% 7.95/1.64 ------ iProver source info
% 7.95/1.64
% 7.95/1.64 git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.64 git: non_committed_changes: false
% 7.95/1.64
% 7.95/1.64 ------ Parsing...successful
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.95/1.64
% 7.95/1.64 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.95/1.64
% 7.95/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.95/1.64 ------ Proving...
% 7.95/1.64 ------ Problem Properties
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64 clauses 41
% 7.95/1.64 conjectures 28
% 7.95/1.64 EPR 25
% 7.95/1.64 Horn 16
% 7.95/1.64 unary 13
% 7.95/1.64 binary 24
% 7.95/1.64 lits 76
% 7.95/1.64 lits eq 70
% 7.95/1.64 fd_pure 0
% 7.95/1.64 fd_pseudo 0
% 7.95/1.64 fd_cond 0
% 7.95/1.64 fd_pseudo_cond 0
% 7.95/1.64 AC symbols 0
% 7.95/1.64
% 7.95/1.64 ------ Schedule dynamic 5 is on
% 7.95/1.64
% 7.95/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64 ------
% 7.95/1.64 Current options:
% 7.95/1.64 ------
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64 ------ Proving...
% 7.95/1.64
% 7.95/1.64
% 7.95/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.64
% 7.95/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.64
% 7.95/1.64
%------------------------------------------------------------------------------