TSTP Solution File: GRP274-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:00 EDT 2024
% Result : Unsatisfiable 8.00s 1.65s
% Output : CNFRefutation 8.00s
% 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
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c5
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
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_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_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| 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_c7,sk_c5) != sk_c6
| 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_c7,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c6,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_337,plain,
multiply(sk_c4,sk_c5) = sP6_iProver_def,
definition ).
cnf(c_338,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_339,plain,
inverse(sk_c4) = 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_c5) = 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_c6
| 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_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_332]) ).
cnf(c_348,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ 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_c5 ),
inference(demodulation,[status(thm)],[c_73,c_338,c_337]) ).
cnf(c_351,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_339]) ).
cnf(c_352,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71,c_340]) ).
cnf(c_353,negated_conjecture,
( sP7_iProver_def = sk_c5
| 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_c5 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_355,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_68,c_342]) ).
cnf(c_356,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_357,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_358,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_359,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_360,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_361,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_362,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_363,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_364,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_365,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58,c_343]) ).
cnf(c_366,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_367,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_368,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_369,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_370,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53,c_344]) ).
cnf(c_371,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_372,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_373,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_374,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
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_628,plain,
( multiply(sk_c4,sP7_iProver_def) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_353,c_337]) ).
cnf(c_629,plain,
( multiply(sk_c4,sP7_iProver_def) = sP6_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_337]) ).
cnf(c_643,plain,
( multiply(sk_c3,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_355,c_340]) ).
cnf(c_698,plain,
( multiply(sk_c3,sP6_iProver_def) = sP9_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_340]) ).
cnf(c_715,plain,
( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_340]) ).
cnf(c_787,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_788,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_787]) ).
cnf(c_789,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_834,plain,
( sk_c6 != sk_c6
| sP6_iProver_def != sk_c6
| sk_c6 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_788]) ).
cnf(c_848,plain,
( multiply(sk_c3,sP6_iProver_def) = sP9_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_340]) ).
cnf(c_910,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_341,c_76]) ).
cnf(c_911,plain,
multiply(sP8_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_339,c_76]) ).
cnf(c_912,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_343,c_76]) ).
cnf(c_913,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_338,c_76]) ).
cnf(c_963,plain,
( multiply(sk_c6,sP12_iProver_def) = sP5_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_367,c_336]) ).
cnf(c_992,plain,
( multiply(sk_c6,sP12_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_368,c_336]) ).
cnf(c_1069,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_363]) ).
cnf(c_1073,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_340]) ).
cnf(c_1074,plain,
( multiply(sP13_iProver_def,sk_c7) = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_336]) ).
cnf(c_1204,plain,
( sk_c7 = sP9_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_372,c_362]) ).
cnf(c_1207,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_372,c_340]) ).
cnf(c_1251,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1271,plain,
( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_373,c_340]) ).
cnf(c_1435,plain,
( sk_c5 != sP5_iProver_def
| sk_c7 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_363,c_345]) ).
cnf(c_1436,plain,
( sk_c5 != sP5_iProver_def
| sk_c7 = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_345]) ).
cnf(c_1577,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_336,c_77]) ).
cnf(c_1578,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_340,c_77]) ).
cnf(c_1583,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1585,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_910,c_77]) ).
cnf(c_1586,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_911,c_77]) ).
cnf(c_1587,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_912,c_77]) ).
cnf(c_1588,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_913,c_77]) ).
cnf(c_1590,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1588,c_75]) ).
cnf(c_1591,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1587,c_75]) ).
cnf(c_1592,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1586,c_75]) ).
cnf(c_1593,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1585,c_75]) ).
cnf(c_2022,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_346]) ).
cnf(c_2043,plain,
( sk_c7 != sP12_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2022,c_343]) ).
cnf(c_2137,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_337,c_347]) ).
cnf(c_2138,plain,
( inverse(sk_c7) != sk_c6
| sk_c6 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_335,c_347]) ).
cnf(c_2162,plain,
( sk_c6 != sP6_iProver_def
| sk_c6 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2137,c_339]) ).
cnf(c_2285,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_335,c_348]) ).
cnf(c_2286,plain,
( inverse(sk_c2) != sk_c5
| sk_c7 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_348]) ).
cnf(c_2302,plain,
( sk_c7 != sP11_iProver_def
| sk_c5 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2286,c_338]) ).
cnf(c_2409,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_340,c_349]) ).
cnf(c_2429,plain,
( sk_c7 != sP9_iProver_def
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2409,c_341]) ).
cnf(c_2551,plain,
( X0 != sk_c6
| sP4_iProver_def != sk_c6
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1251]) ).
cnf(c_2820,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_344,c_1591]) ).
cnf(c_2860,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_337,c_1592]) ).
cnf(c_2869,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_340,c_1593]) ).
cnf(c_3095,plain,
( sP4_iProver_def != sk_c6
| sP13_iProver_def != sk_c6
| sP4_iProver_def = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_2551]) ).
cnf(c_3189,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_628,c_1592]) ).
cnf(c_3190,plain,
( sk_c7 = sP10_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3189,c_2860]) ).
cnf(c_3225,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_629,c_1592]) ).
cnf(c_3226,plain,
( sk_c7 = sP9_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3225,c_2860]) ).
cnf(c_3285,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_643,c_1593]) ).
cnf(c_3286,plain,
( sk_c7 = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3285,c_2869]) ).
cnf(c_3535,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_698,c_1593]) ).
cnf(c_3536,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3535,c_2869]) ).
cnf(c_3612,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_715,c_1593]) ).
cnf(c_3613,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3612,c_2869]) ).
cnf(c_3882,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_848,c_1593]) ).
cnf(c_3883,plain,
( sk_c7 = sP12_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3882,c_2869]) ).
cnf(c_4577,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1073,c_1593]) ).
cnf(c_4578,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4577,c_2869]) ).
cnf(c_4905,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1207,c_1593]) ).
cnf(c_4906,plain,
( sk_c7 = sP9_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4905,c_2869]) ).
cnf(c_4946,plain,
( multiply(sP10_iProver_def,sP9_iProver_def) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1271,c_1593]) ).
cnf(c_4947,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4946,c_2869]) ).
cnf(c_5591,plain,
multiply(sk_c6,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_335,c_1577]) ).
cnf(c_6051,plain,
multiply(sk_c3,multiply(sP5_iProver_def,sk_c5)) = multiply(sP9_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_5591,c_1578]) ).
cnf(c_6755,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1069,c_360,c_370,c_789,c_834,c_3095]) ).
cnf(c_7482,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1583,c_75]) ).
cnf(c_7488,plain,
multiply(inverse(sk_c6),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_336,c_7482]) ).
cnf(c_7491,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_335,c_7482]) ).
cnf(c_7493,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_7482]) ).
cnf(c_7494,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_7482]) ).
cnf(c_7562,plain,
( multiply(inverse(sk_c6),sP5_iProver_def) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_992,c_7482]) ).
cnf(c_7563,plain,
( multiply(inverse(sk_c6),sP5_iProver_def) = sP12_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_963,c_7482]) ).
cnf(c_7582,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1593,c_7482]) ).
cnf(c_7583,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1592,c_7482]) ).
cnf(c_7584,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1591,c_7482]) ).
cnf(c_7585,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1590,c_7482]) ).
cnf(c_7623,plain,
multiply(inverse(sk_c6),multiply(sP5_iProver_def,sk_c5)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_5591,c_7482]) ).
cnf(c_7625,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7482,c_7482]) ).
cnf(c_8259,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7494,c_7625]) ).
cnf(c_8285,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8259,c_7493]) ).
cnf(c_8387,plain,
( sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_368,c_2043]) ).
cnf(c_8388,plain,
( sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_367,c_2043]) ).
cnf(c_8596,plain,
( multiply(sk_c3,sk_c7) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7582,c_346]) ).
cnf(c_8597,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7582,c_76]) ).
cnf(c_8600,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7582,c_349]) ).
cnf(c_8601,plain,
( multiply(sk_c3,sk_c5) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7582,c_348]) ).
cnf(c_8604,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_7582,c_8259]) ).
cnf(c_8611,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c7
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8600,c_340]) ).
cnf(c_8692,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_8604,c_8259]) ).
cnf(c_8927,plain,
( sk_c6 != sP8_iProver_def
| ~ sP2_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_2162]) ).
cnf(c_9049,plain,
( ~ sP2_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8927,c_3613,c_8927]) ).
cnf(c_9064,plain,
( multiply(sk_c4,sk_c7) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7583,c_346]) ).
cnf(c_9065,plain,
multiply(sk_c4,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7583,c_76]) ).
cnf(c_9072,plain,
multiply(sk_c4,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_7583,c_8259]) ).
cnf(c_9095,plain,
inverse(sP8_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_9072,c_8259]) ).
cnf(c_9177,plain,
( sk_c5 != sP7_iProver_def
| sP9_iProver_def != sP11_iProver_def
| ~ sP1_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1204,c_2302]) ).
cnf(c_9184,plain,
( sk_c5 != sP7_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_358,c_2302]) ).
cnf(c_9185,plain,
( sk_c5 != sP7_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_357,c_2302]) ).
cnf(c_9371,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7584,c_76]) ).
cnf(c_9374,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(inverse(sP12_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7584,c_349]) ).
cnf(c_9378,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_7584,c_8259]) ).
cnf(c_9433,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_9378,c_8259]) ).
cnf(c_9530,plain,
( sP2_iProver_def
| sk_c5 != sP5_iProver_def
| sk_c7 = sP10_iProver_def
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1435,c_1435,c_3190,c_4947,c_8387,c_9184]) ).
cnf(c_9531,plain,
( sk_c5 != sP5_iProver_def
| sk_c7 = sP10_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_9530]) ).
cnf(c_9675,plain,
( sP2_iProver_def
| sk_c5 != sP5_iProver_def
| sk_c7 = sP9_iProver_def
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1436,c_1436,c_3226,c_4906,c_8388,c_9185]) ).
cnf(c_9676,plain,
( sk_c5 != sP5_iProver_def
| sk_c7 = sP9_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_9675]) ).
cnf(c_10289,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7585,c_76]) ).
cnf(c_10293,plain,
( multiply(sk_c2,sk_c5) != sk_c7
| inverse(inverse(sP7_iProver_def)) != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7585,c_348]) ).
cnf(c_10296,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_7585,c_8259]) ).
cnf(c_10301,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c5
| sk_c7 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10293,c_342]) ).
cnf(c_10420,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_10296,c_8259]) ).
cnf(c_10797,plain,
( inverse(sk_c7) != sk_c6
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2138,c_2138,c_9049]) ).
cnf(c_11217,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10797,c_10420,c_10301,c_10289,c_9676,c_9531,c_9433,c_9374,c_9378,c_9371,c_9177,c_9095,c_9064,c_9072,c_9065,c_8692,c_8611,c_8601,c_8596,c_8604,c_8597,c_8285,c_7623,c_7563,c_7562,c_7491,c_7488,c_6755,c_6051,c_5591,c_4578,c_3883,c_3536,c_3286,c_2869,c_2860,c_2820,c_2429,c_2285,c_2162,c_2043,c_1074,c_374,c_373,c_372,c_371,c_369,c_366,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
% 0.02/0.10 % Problem : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n007.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 23:32:05 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 8.00/1.65 % SZS status Started for theBenchmark.p
% 8.00/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.65
% 8.00/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.00/1.65
% 8.00/1.65 ------ iProver source info
% 8.00/1.65
% 8.00/1.65 git: date: 2024-05-02 19:28:25 +0000
% 8.00/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.00/1.65 git: non_committed_changes: false
% 8.00/1.65
% 8.00/1.65 ------ Parsing...successful
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.00/1.65
% 8.00/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.00/1.65
% 8.00/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.00/1.65 ------ Proving...
% 8.00/1.65 ------ Problem Properties
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65 clauses 43
% 8.00/1.65 conjectures 30
% 8.00/1.65 EPR 26
% 8.00/1.65 Horn 17
% 8.00/1.65 unary 13
% 8.00/1.65 binary 25
% 8.00/1.65 lits 81
% 8.00/1.65 lits eq 73
% 8.00/1.65 fd_pure 0
% 8.00/1.65 fd_pseudo 0
% 8.00/1.65 fd_cond 0
% 8.00/1.65 fd_pseudo_cond 0
% 8.00/1.65 AC symbols 0
% 8.00/1.65
% 8.00/1.65 ------ Schedule dynamic 5 is on
% 8.00/1.65
% 8.00/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65 ------
% 8.00/1.65 Current options:
% 8.00/1.65 ------
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65 ------ Proving...
% 8.00/1.65
% 8.00/1.65
% 8.00/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.65
% 8.00/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.65
% 8.00/1.65
%------------------------------------------------------------------------------