TSTP Solution File: GRP352-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP352-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:22:18 EDT 2024
% Result : Unsatisfiable 8.06s 1.64s
% Output : CNFRefutation 8.06s
% 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/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,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_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_330,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_74]) ).
cnf(c_331,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_74]) ).
cnf(c_333,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_74]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_335,plain,
multiply(sk_c6,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c6,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_337,plain,
inverse(sk_c4) = sP6_iProver_def,
definition ).
cnf(c_338,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_339,plain,
multiply(sk_c4,sk_c6) = sP8_iProver_def,
definition ).
cnf(c_340,plain,
multiply(sk_c3,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_341,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_342,plain,
multiply(sk_c2,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_343,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_344,plain,
multiply(sk_c1,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_345,negated_conjecture,
( sP4_iProver_def != sk_c7
| sP5_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_334,c_336,c_335]) ).
cnf(c_346,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_333]) ).
cnf(c_347,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_332]) ).
cnf(c_348,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_331]) ).
cnf(c_349,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_330]) ).
cnf(c_350,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73,c_338,c_337]) ).
cnf(c_351,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_72,c_339]) ).
cnf(c_352,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71,c_340]) ).
cnf(c_353,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70,c_341]) ).
cnf(c_354,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_355,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_68,c_342]) ).
cnf(c_356,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_357,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_358,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_359,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_360,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_343]) ).
cnf(c_361,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_362,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_363,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_364,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_365,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_344]) ).
cnf(c_366,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_367,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_368,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_369,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_370,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_371,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_372,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_373,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_374,negated_conjecture,
( sP4_iProver_def = sk_c7
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_375,plain,
X0 = X0,
theory(equality) ).
cnf(c_376,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_623,plain,
( multiply(sP7_iProver_def,sk_c5) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_335]) ).
cnf(c_624,plain,
( multiply(sk_c6,sP11_iProver_def) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_357,c_335]) ).
cnf(c_626,plain,
( multiply(sk_c6,sP11_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_335]) ).
cnf(c_661,plain,
( multiply(sk_c6,sP11_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_335]) ).
cnf(c_803,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_804,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_803]) ).
cnf(c_805,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_835,plain,
( sk_c7 != sk_c7
| sP8_iProver_def != sk_c7
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_875,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_341,c_76]) ).
cnf(c_876,plain,
multiply(sP6_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_337,c_76]) ).
cnf(c_877,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_343,c_76]) ).
cnf(c_878,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_338,c_76]) ).
cnf(c_1099,plain,
( sk_c6 = sP6_iProver_def
| sk_c7 = sP8_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_361]) ).
cnf(c_1100,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_360]) ).
cnf(c_1374,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1661,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_340,c_77]) ).
cnf(c_1662,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_339,c_77]) ).
cnf(c_1664,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_342,c_77]) ).
cnf(c_1666,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1668,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_875,c_77]) ).
cnf(c_1669,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_876,c_77]) ).
cnf(c_1670,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_877,c_77]) ).
cnf(c_1671,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_878,c_77]) ).
cnf(c_1673,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1671,c_75]) ).
cnf(c_1674,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1670,c_75]) ).
cnf(c_1675,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1669,c_75]) ).
cnf(c_1676,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1668,c_75]) ).
cnf(c_1945,plain,
( X0 != sk_c7
| sP4_iProver_def != sk_c7
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1374]) ).
cnf(c_2026,plain,
( multiply(sP6_iProver_def,sk_c7) = sP5_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1100,c_336]) ).
cnf(c_2122,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_346]) ).
cnf(c_2143,plain,
( sk_c6 != sP13_iProver_def
| sk_c7 != sP12_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2122,c_343]) ).
cnf(c_2288,plain,
( inverse(sk_c4) != sk_c6
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_339,c_347]) ).
cnf(c_2290,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_347]) ).
cnf(c_2310,plain,
( sk_c6 != sP6_iProver_def
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2288,c_337]) ).
cnf(c_2425,plain,
( inverse(sk_c4) != sk_c6
| sk_c5 != sP8_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_339,c_348]) ).
cnf(c_2426,plain,
( inverse(sk_c2) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_348]) ).
cnf(c_2428,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c5 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_76,c_348]) ).
cnf(c_2443,plain,
( sk_c6 != sP7_iProver_def
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2426,c_338]) ).
cnf(c_2447,plain,
( sk_c6 != sP6_iProver_def
| sk_c5 != sP8_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2425,c_337]) ).
cnf(c_3038,plain,
( sP4_iProver_def != sk_c7
| sP12_iProver_def != sk_c7
| sP4_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1945]) ).
cnf(c_3150,plain,
( multiply(sP7_iProver_def,sP11_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_623]) ).
cnf(c_3217,plain,
multiply(sP7_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_342,c_1673]) ).
cnf(c_3234,plain,
multiply(sP6_iProver_def,sP8_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_339,c_1675]) ).
cnf(c_3257,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_340,c_1676]) ).
cnf(c_5545,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3150,c_3217]) ).
cnf(c_5597,plain,
( multiply(sk_c4,sP6_iProver_def) = sP8_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_5545,c_339]) ).
cnf(c_6380,plain,
multiply(sk_c3,sP4_iProver_def) = multiply(sP9_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_335,c_1661]) ).
cnf(c_6381,plain,
multiply(sk_c3,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1661]) ).
cnf(c_6659,plain,
multiply(sP10_iProver_def,multiply(sP9_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_6381,c_1676]) ).
cnf(c_6661,plain,
multiply(sk_c4,sP4_iProver_def) = multiply(sP8_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_335,c_1662]) ).
cnf(c_6662,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP8_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1662]) ).
cnf(c_6878,plain,
multiply(sP6_iProver_def,multiply(sP8_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6661,c_1675]) ).
cnf(c_6881,plain,
multiply(sP6_iProver_def,multiply(sP8_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_6662,c_1675]) ).
cnf(c_6959,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_335,c_1664]) ).
cnf(c_6960,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1664]) ).
cnf(c_7143,plain,
multiply(sP7_iProver_def,multiply(sP11_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6959,c_1673]) ).
cnf(c_7146,plain,
multiply(sP7_iProver_def,multiply(sP11_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_6960,c_1673]) ).
cnf(c_7954,plain,
( sk_c7 = sP8_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1099,c_361,c_371,c_805,c_835,c_3038]) ).
cnf(c_8719,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_7954,c_2026]) ).
cnf(c_8759,plain,
( sk_c6 = sP5_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8719,c_3234]) ).
cnf(c_8833,plain,
( multiply(sk_c3,sP5_iProver_def) = sP9_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_8759,c_340]) ).
cnf(c_8847,plain,
( multiply(sP9_iProver_def,sk_c7) = sP9_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8833,c_6381]) ).
cnf(c_9154,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1666,c_75]) ).
cnf(c_9159,plain,
multiply(inverse(sk_c6),sP4_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_335,c_9154]) ).
cnf(c_9160,plain,
multiply(inverse(sk_c6),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_336,c_9154]) ).
cnf(c_9165,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_9154]) ).
cnf(c_9166,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_9154]) ).
cnf(c_9173,plain,
( multiply(inverse(sk_c6),sP4_iProver_def) = sP11_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_661,c_9154]) ).
cnf(c_9174,plain,
( multiply(inverse(sk_c6),sP4_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_626,c_9154]) ).
cnf(c_9176,plain,
( multiply(inverse(sk_c6),sP4_iProver_def) = sP11_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_624,c_9154]) ).
cnf(c_9256,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1676,c_9154]) ).
cnf(c_9257,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1675,c_9154]) ).
cnf(c_9258,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1674,c_9154]) ).
cnf(c_9259,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1673,c_9154]) ).
cnf(c_9285,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9154,c_9154]) ).
cnf(c_9986,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_9166,c_9285]) ).
cnf(c_10004,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9986,c_9165]) ).
cnf(c_10434,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_9256,c_346]) ).
cnf(c_10435,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9256,c_76]) ).
cnf(c_10438,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9256,c_349]) ).
cnf(c_10442,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_9256,c_9986]) ).
cnf(c_10451,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10438,c_340]) ).
cnf(c_10466,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_10442,c_9986]) ).
cnf(c_10591,plain,
multiply(sk_c4,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9257,c_76]) ).
cnf(c_10594,plain,
( multiply(sk_c4,sk_c6) != sk_c7
| inverse(inverse(sP6_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9257,c_349]) ).
cnf(c_10596,plain,
( multiply(sk_c4,sk_c6) != sk_c7
| inverse(inverse(sP6_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9257,c_347]) ).
cnf(c_10598,plain,
multiply(sk_c4,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_9257,c_9986]) ).
cnf(c_10599,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c6
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10596,c_339]) ).
cnf(c_10607,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c7
| sk_c7 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10594,c_339]) ).
cnf(c_10614,plain,
( sk_c6 = sP4_iProver_def
| identity = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_5597,c_10591]) ).
cnf(c_10687,plain,
inverse(sP6_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_10598,c_9986]) ).
cnf(c_10807,plain,
( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
| identity = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10614,c_342]) ).
cnf(c_10813,plain,
( sk_c6 = sP6_iProver_def
| identity = sP8_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_10614,c_350]) ).
cnf(c_10824,plain,
( multiply(sP11_iProver_def,sk_c5) = sP11_iProver_def
| identity = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10807,c_6959]) ).
cnf(c_11268,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| inverse(inverse(sP12_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_9258,c_346]) ).
cnf(c_11269,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9258,c_76]) ).
cnf(c_11272,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(inverse(sP12_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9258,c_349]) ).
cnf(c_11276,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_9258,c_9986]) ).
cnf(c_11294,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11268,c_344]) ).
cnf(c_11431,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_11276,c_9986]) ).
cnf(c_12680,plain,
( multiply(sk_c4,sP6_iProver_def) = sP8_iProver_def
| identity = sP8_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_10813,c_339]) ).
cnf(c_12693,plain,
( identity = sP8_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12680,c_10591]) ).
cnf(c_12748,plain,
( inverse(sP8_iProver_def) = sP8_iProver_def
| sP4_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_12693,c_10004]) ).
cnf(c_12818,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_9259,c_76]) ).
cnf(c_12822,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9259,c_348]) ).
cnf(c_12823,plain,
( multiply(sk_c2,sk_c6) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9259,c_347]) ).
cnf(c_12825,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_9259,c_9986]) ).
cnf(c_12826,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c6
| sk_c7 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12823,c_342]) ).
cnf(c_12830,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12822,c_342]) ).
cnf(c_12861,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_12825,c_9986]) ).
cnf(c_14207,plain,
( sk_c6 != sk_c7
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2290,c_10004]) ).
cnf(c_14240,plain,
( sk_c6 != identity
| sk_c6 != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_14207]) ).
cnf(c_16529,plain,
( multiply(sP9_iProver_def,sP8_iProver_def) = sP9_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_7954,c_8847]) ).
cnf(c_19217,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_16529,c_14240,c_14207,c_12861,c_12830,c_12826,c_12825,c_12818,c_12748,c_11431,c_11294,c_11272,c_11276,c_11269,c_10824,c_10687,c_10607,c_10599,c_10598,c_10591,c_10466,c_10451,c_10434,c_10442,c_10435,c_10004,c_9176,c_9174,c_9173,c_9160,c_9159,c_7146,c_7143,c_6960,c_6959,c_6881,c_6878,c_6662,c_6661,c_6659,c_6380,c_5545,c_3257,c_3234,c_3217,c_2447,c_2443,c_2428,c_2310,c_2143,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_359,c_356,c_354,c_353,c_352,c_351,c_350,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP352-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n029.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 : Fri May 3 00:14:37 EDT 2024
% 0.11/0.33 % 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
% 8.06/1.64 % SZS status Started for theBenchmark.p
% 8.06/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.64
% 8.06/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.06/1.64
% 8.06/1.64 ------ iProver source info
% 8.06/1.64
% 8.06/1.64 git: date: 2024-05-02 19:28:25 +0000
% 8.06/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.06/1.64 git: non_committed_changes: false
% 8.06/1.64
% 8.06/1.64 ------ Parsing...successful
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.06/1.64
% 8.06/1.64 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.06/1.64
% 8.06/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.06/1.64 ------ Proving...
% 8.06/1.64 ------ Problem Properties
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64 clauses 43
% 8.06/1.64 conjectures 30
% 8.06/1.64 EPR 26
% 8.06/1.64 Horn 17
% 8.06/1.64 unary 13
% 8.06/1.64 binary 25
% 8.06/1.64 lits 81
% 8.06/1.64 lits eq 73
% 8.06/1.64 fd_pure 0
% 8.06/1.64 fd_pseudo 0
% 8.06/1.64 fd_cond 0
% 8.06/1.64 fd_pseudo_cond 0
% 8.06/1.64 AC symbols 0
% 8.06/1.64
% 8.06/1.64 ------ Schedule dynamic 5 is on
% 8.06/1.64
% 8.06/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64 ------
% 8.06/1.64 Current options:
% 8.06/1.64 ------
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64 ------ Proving...
% 8.06/1.64
% 8.06/1.64
% 8.06/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.64
% 8.06/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.06/1.64
% 8.06/1.65
%------------------------------------------------------------------------------