TSTP Solution File: GRP211-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:45 EDT 2024
% Result : Unsatisfiable 10.34s 2.12s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_323,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_78]) ).
cnf(c_324,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_78]) ).
cnf(c_325,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_78]) ).
cnf(c_326,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78]) ).
cnf(c_327,plain,
multiply(sk_c3,sk_c7) = sP3_iProver_def,
definition ).
cnf(c_328,plain,
inverse(sk_c5) = sP4_iProver_def,
definition ).
cnf(c_329,plain,
multiply(sk_c5,sk_c8) = sP5_iProver_def,
definition ).
cnf(c_330,plain,
multiply(sk_c8,sk_c6) = sP6_iProver_def,
definition ).
cnf(c_331,plain,
multiply(sk_c4,sk_c7) = sP7_iProver_def,
definition ).
cnf(c_332,plain,
inverse(sk_c4) = sP8_iProver_def,
definition ).
cnf(c_333,plain,
inverse(sk_c3) = sP9_iProver_def,
definition ).
cnf(c_334,plain,
multiply(sk_c2,sk_c7) = sP10_iProver_def,
definition ).
cnf(c_335,plain,
inverse(sk_c1) = sP11_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c1,sk_c2) = sP12_iProver_def,
definition ).
cnf(c_337,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_326]) ).
cnf(c_338,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_325]) ).
cnf(c_340,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_324]) ).
cnf(c_341,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_323]) ).
cnf(c_342,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP4_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_73,c_328,c_327]) ).
cnf(c_343,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_329]) ).
cnf(c_344,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71,c_330]) ).
cnf(c_345,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70,c_331]) ).
cnf(c_346,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP8_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69,c_332]) ).
cnf(c_347,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68,c_333]) ).
cnf(c_349,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_350,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_351,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_354,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_357,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP11_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_58,c_335]) ).
cnf(c_358,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP11_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_359,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_360,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP11_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_361,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP11_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_362,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53,c_336]) ).
cnf(c_363,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_364,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_365,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_366,negated_conjecture,
( sP8_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_564,plain,
( sk_c8 = sP3_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_345]) ).
cnf(c_574,plain,
( sk_c8 = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_346,c_345]) ).
cnf(c_618,plain,
( multiply(sP9_iProver_def,sk_c6) = sP6_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_347,c_330]) ).
cnf(c_657,plain,
( multiply(sk_c5,sP9_iProver_def) = sP5_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_329]) ).
cnf(c_682,plain,
( multiply(sk_c5,sP9_iProver_def) = sP5_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_351,c_329]) ).
cnf(c_853,plain,
multiply(sP8_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_332,c_76]) ).
cnf(c_854,plain,
multiply(sP4_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_328,c_76]) ).
cnf(c_855,plain,
multiply(sP11_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_335,c_76]) ).
cnf(c_856,plain,
multiply(sP9_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_333,c_76]) ).
cnf(c_873,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_357,c_336]) ).
cnf(c_883,plain,
( multiply(sk_c8,sP5_iProver_def) = sP6_iProver_def
| sk_c2 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_330]) ).
cnf(c_900,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_336]) ).
cnf(c_910,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_336]) ).
cnf(c_938,plain,
( sk_c8 = sP4_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_347]) ).
cnf(c_1044,plain,
( sk_c8 = sP7_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_350]) ).
cnf(c_1090,plain,
( sk_c8 = sP8_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_366,c_351]) ).
cnf(c_1132,plain,
( sk_c8 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_564,c_365]) ).
cnf(c_1133,plain,
( sk_c8 = sP4_iProver_def
| sP3_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_564,c_362]) ).
cnf(c_1199,plain,
multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_336,c_77]) ).
cnf(c_1202,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_329,c_77]) ).
cnf(c_1203,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_334,c_77]) ).
cnf(c_1204,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_327,c_77]) ).
cnf(c_1206,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1208,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_853,c_77]) ).
cnf(c_1209,plain,
multiply(sP4_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_854,c_77]) ).
cnf(c_1210,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_855,c_77]) ).
cnf(c_1211,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_856,c_77]) ).
cnf(c_1213,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1211,c_75]) ).
cnf(c_1214,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1210,c_75]) ).
cnf(c_1215,plain,
multiply(sP4_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1209,c_75]) ).
cnf(c_1216,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1208,c_75]) ).
cnf(c_1272,plain,
( sk_c8 = sP8_iProver_def
| sP3_iProver_def = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_574,c_366]) ).
cnf(c_1273,plain,
( sk_c8 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_574,c_365]) ).
cnf(c_1278,plain,
( sk_c8 = sP8_iProver_def
| sP3_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_574,c_351]) ).
cnf(c_1279,plain,
( sk_c8 = sP7_iProver_def
| sP3_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_574,c_350]) ).
cnf(c_2112,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_331,c_341]) ).
cnf(c_2113,plain,
( inverse(sk_c2) != sk_c8
| sk_c8 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_334,c_341]) ).
cnf(c_2114,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP3_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_327,c_341]) ).
cnf(c_2125,plain,
( sk_c8 != sP3_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2114,c_333]) ).
cnf(c_2132,plain,
( sk_c8 != sP7_iProver_def
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2112,c_332]) ).
cnf(c_2687,plain,
( sP4_iProver_def = sP7_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1044,c_938]) ).
cnf(c_2994,plain,
( sP7_iProver_def = sP8_iProver_def
| sP9_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1090,c_1044]) ).
cnf(c_3147,plain,
multiply(sP9_iProver_def,sP3_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_327,c_1213]) ).
cnf(c_3181,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c2,
inference(superposition,[status(thm)],[c_336,c_1214]) ).
cnf(c_3184,plain,
multiply(sP11_iProver_def,multiply(sP12_iProver_def,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3181,c_77]) ).
cnf(c_3186,plain,
multiply(sP4_iProver_def,sP5_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_329,c_1215]) ).
cnf(c_3191,plain,
multiply(sP8_iProver_def,sP7_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_331,c_1216]) ).
cnf(c_3194,plain,
multiply(sP8_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3191,c_77]) ).
cnf(c_4545,plain,
( multiply(sP4_iProver_def,sP5_iProver_def) = sP9_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_657,c_1215]) ).
cnf(c_4546,plain,
( sk_c8 = sP7_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4545,c_3186]) ).
cnf(c_4635,plain,
( multiply(sP4_iProver_def,sP5_iProver_def) = sP9_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_1215]) ).
cnf(c_4636,plain,
( sk_c8 = sP8_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4635,c_3186]) ).
cnf(c_6229,plain,
multiply(sk_c1,sP10_iProver_def) = multiply(sP12_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_334,c_1199]) ).
cnf(c_6645,plain,
multiply(sk_c5,sP6_iProver_def) = multiply(sP5_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_330,c_1202]) ).
cnf(c_7741,plain,
( sP3_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1133,c_1132]) ).
cnf(c_8713,plain,
( sP3_iProver_def = sP9_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_7741,c_2687]) ).
cnf(c_9052,plain,
( sP3_iProver_def = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1273,c_1272]) ).
cnf(c_9256,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1206,c_75]) ).
cnf(c_9263,plain,
multiply(inverse(sk_c8),sP6_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_330,c_9256]) ).
cnf(c_9265,plain,
multiply(inverse(sk_c2),sP10_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_334,c_9256]) ).
cnf(c_9267,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_9256]) ).
cnf(c_9268,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_9256]) ).
cnf(c_9286,plain,
( multiply(inverse(sP9_iProver_def),sP6_iProver_def) = sk_c6
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_618,c_9256]) ).
cnf(c_9295,plain,
( multiply(inverse(sk_c8),sP6_iProver_def) = sP5_iProver_def
| sk_c2 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_883,c_9256]) ).
cnf(c_9344,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1216,c_9256]) ).
cnf(c_9345,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1215,c_9256]) ).
cnf(c_9346,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1214,c_9256]) ).
cnf(c_9347,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1213,c_9256]) ).
cnf(c_9356,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9256,c_9256]) ).
cnf(c_9864,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_9268,c_9356]) ).
cnf(c_9882,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9864,c_9267]) ).
cnf(c_9893,plain,
( multiply(identity,inverse(identity)) != sk_c8
| multiply(identity,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9882,c_340]) ).
cnf(c_9896,plain,
( multiply(identity,sk_c7) != sk_c8
| multiply(identity,identity) != sk_c8
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9893,c_9882]) ).
cnf(c_10245,plain,
( sP3_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1279,c_1278]) ).
cnf(c_12327,plain,
multiply(sk_c4,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9344,c_76]) ).
cnf(c_12329,plain,
( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9344,c_338]) ).
cnf(c_12330,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(inverse(sP8_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9344,c_341]) ).
cnf(c_12332,plain,
multiply(sk_c4,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_9344,c_9864]) ).
cnf(c_12333,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c8
| sk_c8 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12330,c_331]) ).
cnf(c_12537,plain,
inverse(sP8_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_12332,c_9864]) ).
cnf(c_12682,plain,
multiply(sk_c5,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9345,c_76]) ).
cnf(c_12686,plain,
multiply(sk_c5,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_9345,c_9256]) ).
cnf(c_12687,plain,
multiply(sk_c5,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_9345,c_9864]) ).
cnf(c_13156,plain,
inverse(sP4_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_12687,c_9864]) ).
cnf(c_13190,plain,
multiply(sk_c1,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9346,c_76]) ).
cnf(c_13195,plain,
multiply(sk_c1,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_9346,c_9864]) ).
cnf(c_13205,plain,
( sk_c8 = sP8_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_910,c_13190]) ).
cnf(c_13206,plain,
( sk_c8 = sP7_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_900,c_13190]) ).
cnf(c_13208,plain,
( sk_c8 = sP4_iProver_def
| identity = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_873,c_13190]) ).
cnf(c_13550,plain,
( identity = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13206,c_13205]) ).
cnf(c_13982,plain,
( identity = sP12_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_13208,c_13206]) ).
cnf(c_14026,plain,
( multiply(sP4_iProver_def,sk_c6) = sP6_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_13208,c_330]) ).
cnf(c_14027,plain,
( multiply(sk_c5,sP4_iProver_def) = sP5_iProver_def
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_13208,c_329]) ).
cnf(c_14035,plain,
( identity = sP5_iProver_def
| identity = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14027,c_12682]) ).
cnf(c_14234,plain,
inverse(sP11_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_13195,c_9864]) ).
cnf(c_14358,plain,
( inverse(sP12_iProver_def) = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13550,c_9882]) ).
cnf(c_14360,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13550,c_75]) ).
cnf(c_14379,plain,
( inverse(sP12_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_13982,c_9882]) ).
cnf(c_14381,plain,
( multiply(sP12_iProver_def,X0) = X0
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_13982,c_75]) ).
cnf(c_14560,plain,
multiply(sk_c3,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9347,c_76]) ).
cnf(c_14561,plain,
( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
| multiply(sk_c3,sk_c7) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9347,c_340]) ).
cnf(c_14562,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c8)) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9347,c_338]) ).
cnf(c_14565,plain,
multiply(sk_c3,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_9347,c_9864]) ).
cnf(c_14576,plain,
( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
| sk_c8 != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14561,c_327]) ).
cnf(c_14637,plain,
inverse(sP9_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_14565,c_9864]) ).
cnf(c_14640,plain,
( inverse(sP3_iProver_def) = sk_c3
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10245,c_14637]) ).
cnf(c_14641,plain,
( inverse(sP3_iProver_def) = sk_c3
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_8713,c_14637]) ).
cnf(c_15142,plain,
( inverse(sP3_iProver_def) = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_9052,c_14358]) ).
cnf(c_15230,plain,
( inverse(sP3_iProver_def) = sP3_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_7741,c_14379]) ).
cnf(c_16762,plain,
( multiply(sk_c5,sP6_iProver_def) = sk_c6
| identity = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_14026,c_12686]) ).
cnf(c_16763,plain,
( multiply(sP5_iProver_def,sk_c6) = sk_c6
| identity = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16762,c_6645]) ).
cnf(c_17097,plain,
( sk_c3 = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_15142,c_14640]) ).
cnf(c_17136,plain,
( multiply(sP9_iProver_def,sP3_iProver_def) = identity
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17097,c_856]) ).
cnf(c_17143,plain,
( sk_c7 = identity
| sP7_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17136,c_3147]) ).
cnf(c_19026,plain,
( multiply(sk_c2,identity) = sP10_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17143,c_334]) ).
cnf(c_19385,plain,
( sk_c3 = sP3_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_15230,c_14641]) ).
cnf(c_21564,plain,
( multiply(sP9_iProver_def,sP3_iProver_def) = identity
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_19385,c_856]) ).
cnf(c_21571,plain,
( sk_c7 = identity
| sP4_iProver_def = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21564,c_3147]) ).
cnf(c_26980,plain,
( sk_c2 = sP10_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_19026,c_9864]) ).
cnf(c_27009,plain,
( multiply(sk_c1,sP10_iProver_def) = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_26980,c_336]) ).
cnf(c_27013,plain,
( multiply(sP12_iProver_def,sk_c7) = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27009,c_6229]) ).
cnf(c_31800,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_9356,c_76]) ).
cnf(c_31804,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_9356,c_9256]) ).
cnf(c_31805,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_9356,c_9864]) ).
cnf(c_31806,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_31805,c_9864]) ).
cnf(c_34046,plain,
( inverse(sP12_iProver_def) = identity
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_31800,c_14381]) ).
cnf(c_34048,plain,
multiply(sk_c2,inverse(sP12_iProver_def)) = multiply(sP11_iProver_def,identity),
inference(superposition,[status(thm)],[c_31800,c_3184]) ).
cnf(c_34051,plain,
multiply(sk_c7,inverse(sP7_iProver_def)) = multiply(sP8_iProver_def,identity),
inference(superposition,[status(thm)],[c_31800,c_3194]) ).
cnf(c_34052,plain,
multiply(sP3_iProver_def,inverse(sk_c7)) = multiply(sk_c3,identity),
inference(superposition,[status(thm)],[c_31800,c_1204]) ).
cnf(c_34053,plain,
multiply(sP10_iProver_def,inverse(sk_c7)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_31800,c_1203]) ).
cnf(c_34085,plain,
multiply(sP3_iProver_def,inverse(sk_c7)) = sk_c3,
inference(light_normalisation,[status(thm)],[c_34052,c_14565,c_14637]) ).
cnf(c_35237,plain,
multiply(inverse(sP3_iProver_def),sk_c3) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_34085,c_9256]) ).
cnf(c_38846,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_31804,c_338]) ).
cnf(c_38886,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_38846,c_31806]) ).
cnf(c_39090,plain,
( sk_c8 != identity
| ~ sP2_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_21571,c_38886]) ).
cnf(c_39091,plain,
( sk_c8 != identity
| ~ sP2_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17143,c_38886]) ).
cnf(c_40619,plain,
( sk_c7 = sP12_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_27013,c_14360]) ).
cnf(c_40922,plain,
( multiply(sk_c3,sP12_iProver_def) = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_40619,c_327]) ).
cnf(c_44717,plain,
( multiply(sk_c3,sP9_iProver_def) = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_2994,c_40922]) ).
cnf(c_44728,plain,
( identity = sP3_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_44717,c_14560]) ).
cnf(c_44999,plain,
( inverse(sP9_iProver_def) = identity
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2687,c_34046]) ).
cnf(c_45017,plain,
( sk_c3 = identity
| sP4_iProver_def = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_44999,c_14637]) ).
cnf(c_45352,plain,
( identity = sP3_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_45017,c_19385]) ).
cnf(c_46976,plain,
multiply(sk_c2,inverse(sP12_iProver_def)) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_34048,c_9864]) ).
cnf(c_47678,plain,
multiply(sk_c7,inverse(sP7_iProver_def)) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_34051,c_9864]) ).
cnf(c_47749,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_47678,c_46976,c_45352,c_44728,c_39091,c_39090,c_38886,c_35237,c_34085,c_34053,c_34051,c_34048,c_14637,c_14576,c_14562,c_14565,c_14234,c_16763,c_14035,c_13205,c_13195,c_13190,c_13156,c_12682,c_12537,c_12333,c_12329,c_12332,c_12327,c_9896,c_9882,c_9295,c_9286,c_9265,c_9263,c_6645,c_6229,c_4636,c_4546,c_3191,c_3186,c_3181,c_3147,c_2132,c_2125,c_2113,c_856,c_853,c_366,c_365,c_364,c_363,c_359,c_354,c_349,c_346,c_345,c_344,c_343,c_342,c_336,c_333,c_332,c_331,c_330,c_329,c_327,c_337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 23:52:18 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 10.34/2.12 % SZS status Started for theBenchmark.p
% 10.34/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 10.34/2.12
% 10.34/2.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.34/2.12
% 10.34/2.12 ------ iProver source info
% 10.34/2.12
% 10.34/2.12 git: date: 2024-05-02 19:28:25 +0000
% 10.34/2.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.34/2.12 git: non_committed_changes: false
% 10.34/2.12
% 10.34/2.12 ------ Parsing...successful
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.34/2.12
% 10.34/2.12 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.34/2.12
% 10.34/2.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.34/2.12 ------ Proving...
% 10.34/2.12 ------ Problem Properties
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12 clauses 42
% 10.34/2.12 conjectures 29
% 10.34/2.12 EPR 26
% 10.34/2.12 Horn 16
% 10.34/2.12 unary 13
% 10.34/2.12 binary 25
% 10.34/2.12 lits 75
% 10.34/2.12 lits eq 69
% 10.34/2.12 fd_pure 0
% 10.34/2.12 fd_pseudo 0
% 10.34/2.12 fd_cond 0
% 10.34/2.12 fd_pseudo_cond 0
% 10.34/2.12 AC symbols 0
% 10.34/2.12
% 10.34/2.12 ------ Schedule dynamic 5 is on
% 10.34/2.12
% 10.34/2.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12 ------
% 10.34/2.12 Current options:
% 10.34/2.12 ------
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12 ------ Proving...
% 10.34/2.12
% 10.34/2.12
% 10.34/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 10.34/2.12
% 10.34/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.34/2.12
% 10.34/2.12
%------------------------------------------------------------------------------