TSTP Solution File: GRP216-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:21:46 EDT 2024
% Result : Unsatisfiable 7.66s 1.64s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c7) != X4
| multiply(sk_c7,X4) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c7
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_75,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_76,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7
| inverse(sk_c7) != sk_c6 ),
inference(unflattening,[status(thm)],[c_73]) ).
cnf(c_318,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| 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_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_77]) ).
cnf(c_320,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| 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_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_77]) ).
cnf(c_322,negated_conjecture,
( inverse(sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).
cnf(c_323,plain,
inverse(sk_c7) = sP4_iProver_def,
definition ).
cnf(c_324,plain,
inverse(sk_c4) = sP5_iProver_def,
definition ).
cnf(c_325,plain,
inverse(sk_c2) = sP6_iProver_def,
definition ).
cnf(c_326,plain,
multiply(sk_c4,sk_c7) = sP7_iProver_def,
definition ).
cnf(c_327,plain,
multiply(sk_c7,sk_c5) = sP8_iProver_def,
definition ).
cnf(c_328,plain,
multiply(sk_c3,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_329,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_330,plain,
multiply(sk_c2,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_331,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_332,plain,
multiply(sk_c1,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_333,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_322,c_323]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_321]) ).
cnf(c_335,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_320]) ).
cnf(c_336,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_319]) ).
cnf(c_337,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_318]) ).
cnf(c_338,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_325,c_324]) ).
cnf(c_339,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_71,c_326]) ).
cnf(c_340,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_70,c_327]) ).
cnf(c_341,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69,c_328]) ).
cnf(c_342,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_329]) ).
cnf(c_343,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_344,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66,c_330]) ).
cnf(c_345,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_346,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_347,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_348,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_349,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_353,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_354,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_355,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_361,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_362,plain,
X0 = X0,
theory(equality) ).
cnf(c_363,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_659,plain,
( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_347,c_326]) ).
cnf(c_690,plain,
( sk_c7 = sP11_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_349,c_346]) ).
cnf(c_691,plain,
( multiply(sk_c3,sP4_iProver_def) = sP9_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_349,c_328]) ).
cnf(c_743,plain,
( multiply(X0,sk_c6) != X1
| sk_c7 != X1
| multiply(X0,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_800,plain,
( multiply(sk_c3,sk_c6) != sP9_iProver_def
| sk_c7 != sP9_iProver_def
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_743]) ).
cnf(c_810,plain,
( sk_c7 = sP9_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_353,c_347]) ).
cnf(c_853,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_347,c_332]) ).
cnf(c_854,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_332]) ).
cnf(c_871,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(sk_c3) != sk_c6
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_873,plain,
multiply(sP4_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_323,c_75]) ).
cnf(c_874,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_329,c_75]) ).
cnf(c_875,plain,
multiply(sP5_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_324,c_75]) ).
cnf(c_876,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_331,c_75]) ).
cnf(c_877,plain,
multiply(sP6_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_325,c_75]) ).
cnf(c_880,plain,
( multiply(sk_c2,sk_c6) != sk_c7
| inverse(sk_c2) != sk_c6
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_911,plain,
( sk_c7 = sP10_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_348]) ).
cnf(c_968,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_993,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_362]) ).
cnf(c_994,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_1054,plain,
( inverse(sk_c3) != X0
| sk_c6 != X0
| inverse(sk_c3) = sk_c6 ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_1055,plain,
( inverse(sk_c3) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1054]) ).
cnf(c_1483,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_1484,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1483]) ).
cnf(c_1494,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_328,c_335]) ).
cnf(c_1496,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_74,c_335]) ).
cnf(c_1519,plain,
( sk_c7 != sP9_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1494,c_329]) ).
cnf(c_1729,plain,
multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_332,c_76]) ).
cnf(c_1735,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
cnf(c_1737,plain,
multiply(sP4_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_873,c_76]) ).
cnf(c_1738,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_874,c_76]) ).
cnf(c_1739,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_875,c_76]) ).
cnf(c_1740,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_876,c_76]) ).
cnf(c_1743,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1740,c_74]) ).
cnf(c_1744,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1739,c_74]) ).
cnf(c_1745,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1738,c_74]) ).
cnf(c_1746,plain,
multiply(sP4_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1737,c_74]) ).
cnf(c_1826,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_877,c_76]) ).
cnf(c_1827,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1826,c_74]) ).
cnf(c_1838,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_690,c_332]) ).
cnf(c_2149,plain,
( sP9_iProver_def = sP10_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_911,c_810]) ).
cnf(c_2476,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_74,c_336]) ).
cnf(c_2608,plain,
( inverse(sk_c2) != sk_c6
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_330,c_337]) ).
cnf(c_2609,plain,
( inverse(identity) != sk_c6
| sk_c7 != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_74,c_337]) ).
cnf(c_2610,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_337]) ).
cnf(c_2630,plain,
( sk_c7 != sP11_iProver_def
| sk_c6 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2608,c_325]) ).
cnf(c_3405,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_332,c_1743]) ).
cnf(c_3415,plain,
multiply(sP5_iProver_def,sP7_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_326,c_1744]) ).
cnf(c_3428,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_328,c_1745]) ).
cnf(c_3448,plain,
multiply(sP4_iProver_def,sP8_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_327,c_1746]) ).
cnf(c_3800,plain,
( sk_c7 != sP4_iProver_def
| sk_c6 != sP4_iProver_def
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_4185,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_659,c_1744]) ).
cnf(c_4186,plain,
( sk_c7 = sP9_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4185,c_3415]) ).
cnf(c_4227,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP4_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_1745]) ).
cnf(c_4228,plain,
( sk_c7 = sP11_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4227,c_3428]) ).
cnf(c_6746,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1735,c_74]) ).
cnf(c_6771,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_6746]) ).
cnf(c_6772,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_6746]) ).
cnf(c_6825,plain,
multiply(inverse(sP12_iProver_def),identity) = sk_c1,
inference(superposition,[status(thm)],[c_876,c_6746]) ).
cnf(c_6851,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_1746,c_6746]) ).
cnf(c_6852,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1745,c_6746]) ).
cnf(c_6853,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1744,c_6746]) ).
cnf(c_6854,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1743,c_6746]) ).
cnf(c_6855,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1827,c_6746]) ).
cnf(c_6893,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6746,c_6746]) ).
cnf(c_7366,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_6772,c_6893]) ).
cnf(c_7389,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7366,c_6771]) ).
cnf(c_7897,plain,
multiply(sk_c7,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6851,c_75]) ).
cnf(c_7902,plain,
multiply(sk_c7,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_6851,c_6746]) ).
cnf(c_7903,plain,
multiply(sk_c7,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_6851,c_7366]) ).
cnf(c_7978,plain,
( multiply(sP12_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_7897]) ).
cnf(c_7979,plain,
( multiply(sP12_iProver_def,sP4_iProver_def) = identity
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_353,c_7897]) ).
cnf(c_7987,plain,
multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_7897,c_1729]) ).
cnf(c_8083,plain,
inverse(sP4_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_7903,c_7366]) ).
cnf(c_8127,plain,
( inverse(sP4_iProver_def) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7902,c_334]) ).
cnf(c_8173,plain,
( sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_8127,c_8083]) ).
cnf(c_8328,plain,
( multiply(inverse(sP12_iProver_def),identity) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_7978,c_6746]) ).
cnf(c_8330,plain,
( sk_c1 = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8328,c_6825]) ).
cnf(c_8352,plain,
( multiply(inverse(sP12_iProver_def),identity) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_7979,c_6746]) ).
cnf(c_8354,plain,
( sk_c1 = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8352,c_6825]) ).
cnf(c_8604,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_343,c_2630]) ).
cnf(c_8606,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_341,c_2630]) ).
cnf(c_8657,plain,
( ~ sP0_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8604,c_4228,c_8604]) ).
cnf(c_8893,plain,
multiply(sP13_iProver_def,sP4_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_7987,c_7366]) ).
cnf(c_8897,plain,
multiply(inverse(sP13_iProver_def),sk_c1) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_8893,c_6746]) ).
cnf(c_8934,plain,
( ~ sP0_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8606,c_4186,c_8606]) ).
cnf(c_9735,plain,
( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_8330,c_332]) ).
cnf(c_9738,plain,
( sk_c7 = sP10_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9735,c_873]) ).
cnf(c_9842,plain,
( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_8354,c_332]) ).
cnf(c_9845,plain,
( sk_c7 = sP9_iProver_def
| identity = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9842,c_873]) ).
cnf(c_10592,plain,
( identity = sP13_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_9845,c_9738]) ).
cnf(c_11098,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_10592,c_74]) ).
cnf(c_11309,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_6852,c_334]) ).
cnf(c_11310,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_6852,c_336]) ).
cnf(c_11311,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6852,c_75]) ).
cnf(c_11317,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_6852,c_7366]) ).
cnf(c_11382,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_11317,c_7366]) ).
cnf(c_12452,plain,
( sk_c1 = sP4_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_11098,c_8893]) ).
cnf(c_12565,plain,
( inverse(sP4_iProver_def) = sP12_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12452,c_331]) ).
cnf(c_12566,plain,
( sk_c7 = sP12_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12565,c_8083]) ).
cnf(c_12700,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_12566,c_332]) ).
cnf(c_12922,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6853,c_75]) ).
cnf(c_14572,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1496,c_7389]) ).
cnf(c_14658,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2476,c_7389]) ).
cnf(c_14918,plain,
( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2149,c_12700]) ).
cnf(c_15703,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6854,c_75]) ).
cnf(c_15709,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_6854,c_7366]) ).
cnf(c_15831,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2609,c_68,c_62,c_328,c_800,c_871,c_880,c_993,c_1055,c_1484,c_8934]) ).
cnf(c_15858,plain,
( sk_c7 != sP4_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_15831]) ).
cnf(c_15987,plain,
( ~ sP0_iProver_def
| sk_c7 != sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_15858,c_3800,c_8657,c_15831]) ).
cnf(c_15988,plain,
( sk_c7 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_15987]) ).
cnf(c_16405,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_15709,c_7366]) ).
cnf(c_17300,plain,
multiply(sk_c2,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_6855,c_75]) ).
cnf(c_17306,plain,
multiply(sk_c2,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_6855,c_7366]) ).
cnf(c_17399,plain,
inverse(sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_17306,c_7366]) ).
cnf(c_19950,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_17399,c_17300,c_16405,c_15988,c_15709,c_15703,c_14918,c_14658,c_14572,c_12922,c_11382,c_11310,c_11309,c_11311,c_8897,c_8173,c_8083,c_7903,c_7389,c_3448,c_3415,c_3405,c_2610,c_1838,c_1519,c_876,c_854,c_853,c_361,c_355,c_349,c_345,c_343,c_342,c_341,c_340,c_339,c_338,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:42:16 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.66/1.64 % SZS status Started for theBenchmark.p
% 7.66/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.64
% 7.66/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.64
% 7.66/1.64 ------ iProver source info
% 7.66/1.64
% 7.66/1.64 git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.64 git: non_committed_changes: false
% 7.66/1.64
% 7.66/1.64 ------ Parsing...successful
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.66/1.64
% 7.66/1.64 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.66/1.64
% 7.66/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.66/1.64 ------ Proving...
% 7.66/1.64 ------ Problem Properties
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64 clauses 42
% 7.66/1.64 conjectures 29
% 7.66/1.64 EPR 25
% 7.66/1.64 Horn 17
% 7.66/1.64 unary 13
% 7.66/1.64 binary 24
% 7.66/1.64 lits 78
% 7.66/1.64 lits eq 70
% 7.66/1.64 fd_pure 0
% 7.66/1.64 fd_pseudo 0
% 7.66/1.64 fd_cond 0
% 7.66/1.64 fd_pseudo_cond 0
% 7.66/1.64 AC symbols 0
% 7.66/1.64
% 7.66/1.64 ------ Schedule dynamic 5 is on
% 7.66/1.64
% 7.66/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64 ------
% 7.66/1.64 Current options:
% 7.66/1.64 ------
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64 ------ Proving...
% 7.66/1.64
% 7.66/1.64
% 7.66/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.64
% 7.66/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.64
% 7.66/1.64
%------------------------------------------------------------------------------