TSTP Solution File: GRP278-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP278-1 : 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 7.86s 1.69s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c4) != sk_c5
| multiply(sk_c6,sk_c4) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c5
| inverse(sk_c4) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_71,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_72,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_281,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_69]) ).
cnf(c_282,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_69]) ).
cnf(c_283,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_69]) ).
cnf(c_284,negated_conjecture,
( multiply(sk_c6,sk_c4) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c4
| inverse(sk_c4) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
cnf(c_285,plain,
multiply(sk_c6,sk_c4) = sP3_iProver_def,
definition ).
cnf(c_286,plain,
multiply(sk_c5,sk_c6) = sP4_iProver_def,
definition ).
cnf(c_287,plain,
inverse(sk_c4) = sP5_iProver_def,
definition ).
cnf(c_288,plain,
multiply(sk_c3,sk_c4) = sP6_iProver_def,
definition ).
cnf(c_289,plain,
inverse(sk_c3) = sP7_iProver_def,
definition ).
cnf(c_290,plain,
multiply(sk_c2,sk_c5) = sP8_iProver_def,
definition ).
cnf(c_291,plain,
inverse(sk_c2) = sP9_iProver_def,
definition ).
cnf(c_292,plain,
inverse(sk_c1) = sP10_iProver_def,
definition ).
cnf(c_293,plain,
multiply(sk_c1,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_294,negated_conjecture,
( sP3_iProver_def != sk_c5
| sP4_iProver_def != sk_c4
| sP5_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_284,c_287,c_286,c_285]) ).
cnf(c_295,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_283]) ).
cnf(c_296,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_282]) ).
cnf(c_297,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_281]) ).
cnf(c_298,negated_conjecture,
( sP3_iProver_def = sk_c5
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_68,c_288]) ).
cnf(c_299,negated_conjecture,
( sP3_iProver_def = sk_c5
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_67,c_289]) ).
cnf(c_300,negated_conjecture,
( sP3_iProver_def = sk_c5
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_66,c_290]) ).
cnf(c_301,negated_conjecture,
( sP3_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_65,c_291]) ).
cnf(c_302,negated_conjecture,
( sP3_iProver_def = sk_c5
| sP4_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_303,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_304,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_306,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_307,negated_conjecture,
( sP4_iProver_def = sk_c4
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_308,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_292]) ).
cnf(c_309,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_310,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_311,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_312,negated_conjecture,
( sP4_iProver_def = sk_c4
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_313,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_53,c_293]) ).
cnf(c_314,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_315,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_316,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_317,negated_conjecture,
( sP4_iProver_def = sk_c4
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_592,plain,
( multiply(sP9_iProver_def,sk_c4) = sP3_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_306,c_285]) ).
cnf(c_655,plain,
( multiply(sP10_iProver_def,sk_c4) = sP3_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_309,c_285]) ).
cnf(c_724,plain,
( multiply(sP10_iProver_def,sk_c4) = sP3_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_311,c_285]) ).
cnf(c_801,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_311,c_293]) ).
cnf(c_802,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_310,c_293]) ).
cnf(c_803,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_309,c_293]) ).
cnf(c_849,plain,
multiply(sP9_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_291,c_71]) ).
cnf(c_850,plain,
multiply(sP7_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_289,c_71]) ).
cnf(c_851,plain,
multiply(sP10_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_292,c_71]) ).
cnf(c_852,plain,
multiply(sP5_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_287,c_71]) ).
cnf(c_861,plain,
( multiply(sk_c2,sP11_iProver_def) = sP8_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_314,c_290]) ).
cnf(c_951,plain,
( sk_c5 = sP11_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_316,c_315]) ).
cnf(c_1037,plain,
( inverse(sk_c1) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_293,c_295]) ).
cnf(c_1039,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_70,c_295]) ).
cnf(c_1057,plain,
( sk_c6 != sP10_iProver_def
| sk_c5 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1037,c_292]) ).
cnf(c_1155,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c4
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_70,c_296]) ).
cnf(c_1253,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_290,c_297]) ).
cnf(c_1255,plain,
( inverse(inverse(sk_c5)) != sk_c6
| sk_c6 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_71,c_297]) ).
cnf(c_1265,plain,
( sk_c6 != sP8_iProver_def
| sk_c6 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1253,c_291]) ).
cnf(c_1596,plain,
multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_293,c_72]) ).
cnf(c_1599,plain,
multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_288,c_72]) ).
cnf(c_1600,plain,
multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_285,c_72]) ).
cnf(c_1602,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_1604,plain,
multiply(sP9_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_849,c_72]) ).
cnf(c_1605,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_850,c_72]) ).
cnf(c_1606,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_851,c_72]) ).
cnf(c_1607,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_852,c_72]) ).
cnf(c_1612,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1607,c_70]) ).
cnf(c_1613,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1606,c_70]) ).
cnf(c_1614,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1605,c_70]) ).
cnf(c_1615,plain,
multiply(sP9_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1604,c_70]) ).
cnf(c_1808,plain,
( multiply(sP11_iProver_def,sk_c6) = sP4_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_951,c_286]) ).
cnf(c_1952,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_293,c_1613]) ).
cnf(c_2141,plain,
multiply(sP9_iProver_def,sP8_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_290,c_1615]) ).
cnf(c_2671,plain,
( multiply(sP9_iProver_def,sP4_iProver_def) = sP3_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_307,c_592]) ).
cnf(c_3510,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP10_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_803,c_1613]) ).
cnf(c_3511,plain,
( sk_c6 = sP10_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3510,c_1952]) ).
cnf(c_3607,plain,
( multiply(sP9_iProver_def,sP8_iProver_def) = sP11_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_1615]) ).
cnf(c_3608,plain,
( sk_c5 = sP7_iProver_def
| sk_c5 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3607,c_2141]) ).
cnf(c_4686,plain,
multiply(sk_c1,sP3_iProver_def) = multiply(sP11_iProver_def,sk_c4),
inference(superposition,[status(thm)],[c_285,c_1596]) ).
cnf(c_5319,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1602,c_70]) ).
cnf(c_5329,plain,
multiply(inverse(sk_c5),sP4_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_286,c_5319]) ).
cnf(c_5332,plain,
multiply(inverse(sk_c6),sP3_iProver_def) = sk_c4,
inference(superposition,[status(thm)],[c_285,c_5319]) ).
cnf(c_5333,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_70,c_5319]) ).
cnf(c_5334,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_5319]) ).
cnf(c_5411,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1615,c_5319]) ).
cnf(c_5412,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1614,c_5319]) ).
cnf(c_5413,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1613,c_5319]) ).
cnf(c_5414,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1612,c_5319]) ).
cnf(c_5440,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5319,c_5319]) ).
cnf(c_6005,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_5334,c_5440]) ).
cnf(c_6026,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_6005,c_5333]) ).
cnf(c_6265,plain,
( sk_c5 != sP11_iProver_def
| ~ sP2_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_309,c_1057]) ).
cnf(c_6439,plain,
( ~ sP2_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6265,c_3608,c_6265]) ).
cnf(c_7015,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP9_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_5411,c_295]) ).
cnf(c_7021,plain,
multiply(sk_c2,multiply(sP9_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_5411,c_5319]) ).
cnf(c_7022,plain,
multiply(sk_c2,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_5411,c_6005]) ).
cnf(c_7097,plain,
inverse(sP9_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_7022,c_6005]) ).
cnf(c_7309,plain,
( multiply(sk_c2,sP3_iProver_def) = sP4_iProver_def
| sk_c5 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2671,c_7021]) ).
cnf(c_7339,plain,
multiply(sk_c3,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_5412,c_71]) ).
cnf(c_7343,plain,
( multiply(sk_c3,sk_c4) != sk_c5
| inverse(inverse(sP7_iProver_def)) != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_5412,c_296]) ).
cnf(c_7345,plain,
multiply(sk_c3,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_5412,c_6005]) ).
cnf(c_7348,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c5
| sk_c5 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7343,c_288]) ).
cnf(c_7480,plain,
inverse(sP7_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_7345,c_6005]) ).
cnf(c_7759,plain,
multiply(sk_c1,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_5413,c_71]) ).
cnf(c_7762,plain,
( multiply(sk_c1,sk_c5) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_5413,c_297]) ).
cnf(c_7764,plain,
multiply(sk_c1,multiply(sP10_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_5413,c_5319]) ).
cnf(c_7765,plain,
multiply(sk_c1,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_5413,c_6005]) ).
cnf(c_7777,plain,
( sk_c5 = sP7_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_803,c_7759]) ).
cnf(c_7778,plain,
( sk_c6 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_802,c_7759]) ).
cnf(c_7779,plain,
( sk_c6 = sP9_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_801,c_7759]) ).
cnf(c_7868,plain,
inverse(sP10_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_7765,c_6005]) ).
cnf(c_7872,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1039,c_6026]) ).
cnf(c_8035,plain,
( sk_c5 != sk_c4
| sk_c5 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1155,c_6026]) ).
cnf(c_8053,plain,
( sk_c5 != sk_c4
| identity != sP11_iProver_def
| ~ sP1_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_314,c_8035]) ).
cnf(c_8862,plain,
( identity = sP11_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_7779,c_7778]) ).
cnf(c_9048,plain,
( multiply(sk_c1,sP3_iProver_def) = sk_c4
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_724,c_7764]) ).
cnf(c_9050,plain,
( multiply(sk_c1,sP3_iProver_def) = sk_c4
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_655,c_7764]) ).
cnf(c_9062,plain,
( multiply(sP11_iProver_def,sk_c4) = sk_c4
| sk_c5 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9050,c_4686]) ).
cnf(c_9068,plain,
( multiply(sP11_iProver_def,sk_c4) = sk_c4
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9048,c_4686]) ).
cnf(c_9093,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_8862,c_70]) ).
cnf(c_9108,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_5414,c_71]) ).
cnf(c_9114,plain,
multiply(sk_c4,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_5414,c_6005]) ).
cnf(c_9267,plain,
multiply(sk_c6,identity) = multiply(sP3_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_9108,c_1600]) ).
cnf(c_9268,plain,
multiply(sk_c3,identity) = multiply(sP6_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_9108,c_1599]) ).
cnf(c_9271,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c3,
inference(light_normalisation,[status(thm)],[c_9268,c_7345,c_7480]) ).
cnf(c_9361,plain,
inverse(sP5_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_9114,c_6005]) ).
cnf(c_9883,plain,
multiply(sP3_iProver_def,sP5_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_9267,c_6005]) ).
cnf(c_9884,plain,
multiply(inverse(sP3_iProver_def),sk_c6) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_9883,c_5319]) ).
cnf(c_11100,plain,
( sk_c6 = sP4_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_9093,c_1808]) ).
cnf(c_11738,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11100,c_9884,c_9883,c_9361,c_9271,c_9108,c_9068,c_9062,c_8053,c_7872,c_7868,c_7777,c_7762,c_7765,c_7759,c_7480,c_7348,c_7345,c_7339,c_7309,c_7097,c_7015,c_7022,c_6439,c_6026,c_5332,c_5329,c_4686,c_3511,c_2141,c_1952,c_1265,c_1255,c_852,c_317,c_316,c_315,c_314,c_313,c_312,c_308,c_307,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:46:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.86/1.69 % SZS status Started for theBenchmark.p
% 7.86/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.69
% 7.86/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.86/1.69
% 7.86/1.69 ------ iProver source info
% 7.86/1.69
% 7.86/1.69 git: date: 2024-05-02 19:28:25 +0000
% 7.86/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.86/1.69 git: non_committed_changes: false
% 7.86/1.69
% 7.86/1.69 ------ Parsing...successful
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.86/1.69
% 7.86/1.69 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.86/1.69
% 7.86/1.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.86/1.69 ------ Proving...
% 7.86/1.69 ------ Problem Properties
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69 clauses 36
% 7.86/1.69 conjectures 24
% 7.86/1.69 EPR 21
% 7.86/1.69 Horn 15
% 7.86/1.69 unary 12
% 7.86/1.69 binary 20
% 7.86/1.69 lits 67
% 7.86/1.69 lits eq 61
% 7.86/1.69 fd_pure 0
% 7.86/1.69 fd_pseudo 0
% 7.86/1.69 fd_cond 0
% 7.86/1.69 fd_pseudo_cond 0
% 7.86/1.69 AC symbols 0
% 7.86/1.69
% 7.86/1.69 ------ Schedule dynamic 5 is on
% 7.86/1.69
% 7.86/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69 ------
% 7.86/1.69 Current options:
% 7.86/1.69 ------
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69 ------ Proving...
% 7.86/1.69
% 7.86/1.69
% 7.86/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.69
% 7.86/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.69
% 7.86/1.70
%------------------------------------------------------------------------------