TSTP Solution File: GRP268-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP268-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:58 EDT 2024
% Result : Unsatisfiable 8.00s 1.69s
% 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_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c6,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != X3
| multiply(X4,sk_c8) != sk_c7
| multiply(sk_c6,X3) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(X4) != sk_c8
| inverse(sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_72,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_73,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X0) != sk_c6
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(sk_c6) != sk_c7 ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_291,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_74]) ).
cnf(c_292,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_74]) ).
cnf(c_293,negated_conjecture,
( multiply(sk_c6,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_294,negated_conjecture,
( inverse(sk_c6) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_295,plain,
inverse(sk_c6) = sP3_iProver_def,
definition ).
cnf(c_296,plain,
inverse(sk_c3) = sP4_iProver_def,
definition ).
cnf(c_297,plain,
inverse(sk_c5) = sP5_iProver_def,
definition ).
cnf(c_298,plain,
multiply(sk_c5,sk_c8) = sP6_iProver_def,
definition ).
cnf(c_299,plain,
multiply(sk_c3,sk_c6) = sP7_iProver_def,
definition ).
cnf(c_300,plain,
multiply(sk_c6,sk_c4) = sP8_iProver_def,
definition ).
cnf(c_301,plain,
inverse(sk_c2) = sP9_iProver_def,
definition ).
cnf(c_302,plain,
multiply(sk_c2,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_303,plain,
inverse(sk_c1) = sP11_iProver_def,
definition ).
cnf(c_304,plain,
multiply(sk_c1,sk_c8) = sP12_iProver_def,
definition ).
cnf(c_305,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_294,c_295]) ).
cnf(c_306,negated_conjecture,
( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c7
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_293]) ).
cnf(c_307,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_292]) ).
cnf(c_309,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_291]) ).
cnf(c_310,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP4_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69,c_296]) ).
cnf(c_311,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68,c_297]) ).
cnf(c_312,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_67,c_298]) ).
cnf(c_313,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP7_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_66,c_299]) ).
cnf(c_315,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP7_iProver_def = sk_c4 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_316,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_300]) ).
cnf(c_317,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_318,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_319,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60,c_301]) ).
cnf(c_320,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_321,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_322,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57,c_302]) ).
cnf(c_323,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_324,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_326,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_327,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_329,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_330,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_331,plain,
X0 = X0,
theory(equality) ).
cnf(c_332,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_539,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_311,c_298]) ).
cnf(c_548,plain,
( multiply(sP4_iProver_def,sk_c4) = sP8_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_300]) ).
cnf(c_549,plain,
( multiply(sP4_iProver_def,sk_c4) = sP8_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_310,c_300]) ).
cnf(c_567,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_317,c_298]) ).
cnf(c_606,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_320,c_298]) ).
cnf(c_635,plain,
( sk_c7 = sP3_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_322,c_316]) ).
cnf(c_636,plain,
( sP3_iProver_def != sP10_iProver_def
| sk_c7 = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_322,c_305]) ).
cnf(c_651,plain,
( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_323,c_298]) ).
cnf(c_662,plain,
( sP3_iProver_def != sP10_iProver_def
| sk_c7 = sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_324,c_305]) ).
cnf(c_706,plain,
multiply(sP5_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_297,c_72]) ).
cnf(c_707,plain,
multiply(sP3_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_295,c_72]) ).
cnf(c_708,plain,
multiply(sP11_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_303,c_72]) ).
cnf(c_709,plain,
multiply(sP9_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_301,c_72]) ).
cnf(c_710,plain,
multiply(sP4_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_296,c_72]) ).
cnf(c_749,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_326,c_304]) ).
cnf(c_817,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_327,c_304]) ).
cnf(c_877,plain,
( multiply(sk_c1,sP5_iProver_def) = sP12_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_329,c_304]) ).
cnf(c_928,plain,
( inverse(sk_c1) != sk_c8
| sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_304,c_307]) ).
cnf(c_929,plain,
( inverse(sk_c5) != sk_c8
| sk_c7 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_298,c_307]) ).
cnf(c_943,plain,
( sk_c8 != sP5_iProver_def
| sk_c7 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_929,c_297]) ).
cnf(c_947,plain,
( sk_c8 != sP11_iProver_def
| sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_928,c_303]) ).
cnf(c_1019,plain,
( inverse(sk_c2) != sk_c6
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_302,c_309]) ).
cnf(c_1023,plain,
( inverse(sP3_iProver_def) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_309]) ).
cnf(c_1038,plain,
( sk_c7 != sP10_iProver_def
| sk_c6 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1019,c_301]) ).
cnf(c_1189,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_1191,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_706,c_73]) ).
cnf(c_1192,plain,
multiply(sP3_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_707,c_73]) ).
cnf(c_1193,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_708,c_73]) ).
cnf(c_1194,plain,
multiply(sP9_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_709,c_73]) ).
cnf(c_1199,plain,
multiply(sP9_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1194,c_71]) ).
cnf(c_1200,plain,
multiply(sP11_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1193,c_71]) ).
cnf(c_1201,plain,
multiply(sP3_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1192,c_71]) ).
cnf(c_1202,plain,
multiply(sP5_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1191,c_71]) ).
cnf(c_1281,plain,
multiply(sP4_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_710,c_73]) ).
cnf(c_1282,plain,
multiply(sP4_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1281,c_71]) ).
cnf(c_1326,plain,
( sP8_iProver_def = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_635,c_305]) ).
cnf(c_1549,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_332]) ).
cnf(c_1769,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_302,c_1199]) ).
cnf(c_1780,plain,
multiply(sP11_iProver_def,sP12_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_304,c_1200]) ).
cnf(c_1790,plain,
( multiply(sP3_iProver_def,multiply(sP9_iProver_def,X0)) = X0
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_319,c_1201]) ).
cnf(c_1917,plain,
( multiply(sP4_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_315,c_548]) ).
cnf(c_1945,plain,
( multiply(sP4_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_313,c_549]) ).
cnf(c_2084,plain,
multiply(sP4_iProver_def,sP7_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_299,c_1282]) ).
cnf(c_2422,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_749,c_1200]) ).
cnf(c_2423,plain,
( sk_c8 = sP5_iProver_def
| sk_c8 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2422,c_1780]) ).
cnf(c_2482,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_817,c_1200]) ).
cnf(c_2483,plain,
( sk_c8 = sP11_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2482,c_1780]) ).
cnf(c_2506,plain,
( multiply(sP11_iProver_def,sP12_iProver_def) = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_877,c_1200]) ).
cnf(c_2507,plain,
( sk_c8 = sP5_iProver_def
| sk_c7 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2506,c_1780]) ).
cnf(c_2620,plain,
( sk_c7 = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1917,c_2084]) ).
cnf(c_2825,plain,
( sk_c7 = sP3_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1945,c_2084]) ).
cnf(c_2847,plain,
( sk_c7 = sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2825,c_319]) ).
cnf(c_2850,plain,
( inverse(sP8_iProver_def) = sP3_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_2825,c_295]) ).
cnf(c_4546,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1549]) ).
cnf(c_4547,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_331]) ).
cnf(c_4786,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1189,c_71]) ).
cnf(c_4803,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_71,c_4786]) ).
cnf(c_4804,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_4786]) ).
cnf(c_4852,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1202,c_4786]) ).
cnf(c_4853,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1201,c_4786]) ).
cnf(c_4857,plain,
multiply(inverse(sP9_iProver_def),sk_c6) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_1769,c_4786]) ).
cnf(c_4874,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4786,c_4786]) ).
cnf(c_5158,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4804,c_4874]) ).
cnf(c_5182,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5158,c_4803]) ).
cnf(c_5503,plain,
( sk_c7 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_943,c_947,c_943,c_2423,c_2507]) ).
cnf(c_5733,plain,
( sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_947,c_947,c_2483,c_5503]) ).
cnf(c_5759,plain,
( ~ sP1_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_330,c_5733]) ).
cnf(c_5769,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_5759,c_5503,c_5759]) ).
cnf(c_5772,plain,
( sP8_iProver_def = sP10_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1326,c_5769]) ).
cnf(c_5776,plain,
( sP3_iProver_def != sP10_iProver_def
| sk_c7 = sP6_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_662,c_5769]) ).
cnf(c_5777,plain,
( sP3_iProver_def != sP10_iProver_def
| sk_c7 = sP3_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_636,c_5769]) ).
cnf(c_5780,plain,
( sk_c7 != sP3_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_305,c_5769]) ).
cnf(c_5923,plain,
( sP3_iProver_def != sP10_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5776,c_5780,c_5777]) ).
cnf(c_6011,plain,
( multiply(sP3_iProver_def,sk_c6) = sP10_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1769,c_1790]) ).
cnf(c_6021,plain,
( sk_c7 = sP3_iProver_def
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6011,c_707]) ).
cnf(c_6480,plain,
( sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_321,c_1038]) ).
cnf(c_6481,plain,
( sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_319,c_1038]) ).
cnf(c_6535,plain,
( ~ sP0_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_324,c_6480]) ).
cnf(c_6599,plain,
( ~ sP0_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_322,c_6481]) ).
cnf(c_6635,plain,
( identity = sP10_iProver_def
| sP0_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_6021,c_5780]) ).
cnf(c_6959,plain,
multiply(sk_c5,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4852,c_72]) ).
cnf(c_6973,plain,
( sk_c7 = sP10_iProver_def
| identity = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_651,c_6959]) ).
cnf(c_6974,plain,
( sk_c6 = sP9_iProver_def
| identity = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_606,c_6959]) ).
cnf(c_6975,plain,
( sk_c7 = sP8_iProver_def
| identity = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_567,c_6959]) ).
cnf(c_6976,plain,
( sk_c6 = sP4_iProver_def
| identity = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_539,c_6959]) ).
cnf(c_7519,plain,
( sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def
| identity = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_6974,c_1038]) ).
cnf(c_7662,plain,
( identity = sP6_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6975,c_6973]) ).
cnf(c_7897,plain,
( identity = sP6_iProver_def
| sP4_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_6976,c_6974]) ).
cnf(c_8280,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_7662,c_5182]) ).
cnf(c_8330,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP4_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_7897,c_5182]) ).
cnf(c_8446,plain,
multiply(sk_c6,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4853,c_72]) ).
cnf(c_8449,plain,
( multiply(sk_c6,multiply(sk_c6,sk_c6)) != sk_c7
| inverse(inverse(sP3_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_4853,c_306]) ).
cnf(c_8451,plain,
multiply(sk_c6,multiply(sP3_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_4853,c_4786]) ).
cnf(c_8452,plain,
multiply(sk_c6,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_4853,c_5158]) ).
cnf(c_8555,plain,
inverse(sP3_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_8452,c_5158]) ).
cnf(c_8585,plain,
( inverse(sP3_iProver_def) != sk_c6
| sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_8451,c_306]) ).
cnf(c_8609,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_8585,c_8555]) ).
cnf(c_8634,plain,
( sk_c7 != sk_c7
| sP6_iProver_def != sk_c7
| sk_c7 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_4546]) ).
cnf(c_8635,plain,
( sk_c7 != sk_c7
| sP8_iProver_def != sk_c7
| sk_c7 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_4546]) ).
cnf(c_9008,plain,
( sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_2620,c_8609]) ).
cnf(c_9011,plain,
( sk_c7 != sP9_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_321,c_8609]) ).
cnf(c_9012,plain,
( sk_c7 != sP9_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_319,c_8609]) ).
cnf(c_9014,plain,
( sk_c7 != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_310,c_8609]) ).
cnf(c_9184,plain,
( ~ sP2_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9011,c_318,c_4547,c_8634,c_8635,c_9008]) ).
cnf(c_9234,plain,
( sP8_iProver_def != sP9_iProver_def
| ~ sP2_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_316,c_9012]) ).
cnf(c_9246,plain,
( ~ sP2_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9014,c_2847,c_9234]) ).
cnf(c_10160,plain,
( sk_c7 != identity
| sk_c6 != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_1023,c_8555]) ).
cnf(c_10161,plain,
( sk_c7 != identity
| ~ sP0_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_10160]) ).
cnf(c_12173,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10161,c_9246,c_9184,c_8609,c_8555,c_8449,c_8452,c_8446,c_8330,c_8280,c_7519,c_6973,c_6959,c_6635,c_6599,c_6535,c_5923,c_5780,c_5772,c_5182,c_4857,c_2850,c_707,c_312,c_311,c_310,c_298,c_295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP268-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 23:33:48 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
% 8.00/1.69 % SZS status Started for theBenchmark.p
% 8.00/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.69
% 8.00/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.00/1.69
% 8.00/1.69 ------ iProver source info
% 8.00/1.69
% 8.00/1.69 git: date: 2024-05-02 19:28:25 +0000
% 8.00/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.00/1.69 git: non_committed_changes: false
% 8.00/1.69
% 8.00/1.69 ------ Parsing...successful
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.00/1.69
% 8.00/1.69 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.00/1.69
% 8.00/1.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.00/1.69 ------ Proving...
% 8.00/1.69 ------ Problem Properties
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69 clauses 38
% 8.00/1.69 conjectures 25
% 8.00/1.69 EPR 22
% 8.00/1.69 Horn 16
% 8.00/1.69 unary 13
% 8.00/1.69 binary 21
% 8.00/1.69 lits 68
% 8.00/1.69 lits eq 62
% 8.00/1.69 fd_pure 0
% 8.00/1.69 fd_pseudo 0
% 8.00/1.69 fd_cond 0
% 8.00/1.69 fd_pseudo_cond 0
% 8.00/1.69 AC symbols 0
% 8.00/1.69
% 8.00/1.69 ------ Schedule dynamic 5 is on
% 8.00/1.69
% 8.00/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69 ------
% 8.00/1.69 Current options:
% 8.00/1.69 ------
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69 ------ Proving...
% 8.00/1.69
% 8.00/1.69
% 8.00/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.69
% 8.00/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.69
% 8.00/1.69
%------------------------------------------------------------------------------