TSTP Solution File: GRP348-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP348-1 : 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 02:22:17 EDT 2024
% Result : Unsatisfiable 7.95s 1.67s
% Output : CNFRefutation 7.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| multiply(sk_c1,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| multiply(sk_c2,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| multiply(X1,sk_c4) != sk_c5
| multiply(X2,sk_c5) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c4,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| inverse(X1) != sk_c5
| inverse(X2) != sk_c6
| inverse(sk_c4) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_71,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_72,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_281,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c5
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_69]) ).
cnf(c_282,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_69]) ).
cnf(c_283,negated_conjecture,
( multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c4,sk_c5) != sk_c6
| inverse(sk_c4) != sk_c5
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
cnf(c_284,plain,
multiply(sk_c5,sk_c6) = sP2_iProver_def,
definition ).
cnf(c_285,plain,
multiply(sk_c4,sk_c5) = sP3_iProver_def,
definition ).
cnf(c_286,plain,
inverse(sk_c4) = sP4_iProver_def,
definition ).
cnf(c_287,plain,
multiply(sk_c3,sk_c5) = sP5_iProver_def,
definition ).
cnf(c_288,plain,
multiply(sk_c2,sk_c4) = sP6_iProver_def,
definition ).
cnf(c_289,plain,
inverse(sk_c3) = sP7_iProver_def,
definition ).
cnf(c_290,plain,
inverse(sk_c2) = sP8_iProver_def,
definition ).
cnf(c_291,plain,
multiply(sk_c1,sk_c5) = sP9_iProver_def,
definition ).
cnf(c_292,plain,
inverse(sk_c1) = sP10_iProver_def,
definition ).
cnf(c_293,negated_conjecture,
( sP2_iProver_def != sk_c4
| sP3_iProver_def != sk_c6
| sP4_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_283,c_286,c_285,c_284]) ).
cnf(c_295,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_282]) ).
cnf(c_296,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c5
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_281]) ).
cnf(c_297,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_68,c_288,c_287]) ).
cnf(c_298,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67,c_289]) ).
cnf(c_299,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_300,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_301,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64,c_290]) ).
cnf(c_302,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_303,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_304,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_305,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60,c_291]) ).
cnf(c_306,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_307,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_308,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_309,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56,c_292]) ).
cnf(c_310,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_311,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_312,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_313,negated_conjecture,
( sP2_iProver_def = sk_c4
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_314,negated_conjecture,
( sP2_iProver_def = sk_c4
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_315,negated_conjecture,
( sP2_iProver_def = sk_c4
| sP3_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_316,negated_conjecture,
( sP2_iProver_def = sk_c4
| sP4_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_545,plain,
( sk_c5 = sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_300,c_304]) ).
cnf(c_552,plain,
( multiply(sk_c5,sP7_iProver_def) = sP2_iProver_def
| sk_c5 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_302,c_284]) ).
cnf(c_553,plain,
( multiply(sk_c5,sP5_iProver_def) = sP2_iProver_def
| sk_c5 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_301,c_284]) ).
cnf(c_899,plain,
( sk_c6 = sP3_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_311,c_307]) ).
cnf(c_965,plain,
( sk_c5 = sP4_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_308]) ).
cnf(c_1022,plain,
multiply(sP4_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_286,c_71]) ).
cnf(c_1023,plain,
multiply(sP7_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_289,c_71]) ).
cnf(c_1024,plain,
multiply(sP10_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_292,c_71]) ).
cnf(c_1025,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_290,c_71]) ).
cnf(c_1141,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != sP5_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_287,c_295]) ).
cnf(c_1142,plain,
( inverse(sk_c1) != sk_c6
| sk_c6 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_291,c_295]) ).
cnf(c_1150,plain,
( sk_c6 != sP9_iProver_def
| sk_c6 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1142,c_292]) ).
cnf(c_1154,plain,
( sk_c6 != sP5_iProver_def
| sk_c6 != sP7_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1141,c_289]) ).
cnf(c_1211,plain,
( inverse(sk_c2) != sk_c5
| sk_c5 != sP6_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_288,c_296]) ).
cnf(c_1212,plain,
( inverse(identity) != sk_c5
| sk_c5 != sk_c4
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_70,c_296]) ).
cnf(c_1225,plain,
( sk_c5 != sP6_iProver_def
| sk_c5 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1211,c_290]) ).
cnf(c_1545,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_285,c_72]) ).
cnf(c_1548,plain,
multiply(sk_c2,multiply(sk_c4,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_288,c_72]) ).
cnf(c_1550,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_1552,plain,
multiply(sP4_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1022,c_72]) ).
cnf(c_1553,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1023,c_72]) ).
cnf(c_1554,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1024,c_72]) ).
cnf(c_1555,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1025,c_72]) ).
cnf(c_1559,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1555,c_70]) ).
cnf(c_1560,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1554,c_70]) ).
cnf(c_1561,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1553,c_70]) ).
cnf(c_1562,plain,
multiply(sP4_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1552,c_70]) ).
cnf(c_1720,plain,
( multiply(sP4_iProver_def,sk_c6) = sP2_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_284]) ).
cnf(c_2002,plain,
( multiply(sk_c5,sP3_iProver_def) = sP2_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_899,c_284]) ).
cnf(c_2347,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c4,
inference(superposition,[status(thm)],[c_288,c_1559]) ).
cnf(c_2375,plain,
multiply(sP10_iProver_def,sP9_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_291,c_1560]) ).
cnf(c_2432,plain,
multiply(sP7_iProver_def,sP5_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_287,c_1561]) ).
cnf(c_2457,plain,
multiply(sP4_iProver_def,sP3_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_285,c_1562]) ).
cnf(c_5051,plain,
multiply(sk_c4,sP2_iProver_def) = multiply(sP3_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_284,c_1545]) ).
cnf(c_5164,plain,
( multiply(sP2_iProver_def,sP2_iProver_def) = multiply(sP3_iProver_def,sk_c6)
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_316,c_5051]) ).
cnf(c_5657,plain,
multiply(sk_c2,sP3_iProver_def) = multiply(sP6_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_285,c_1548]) ).
cnf(c_7701,plain,
( multiply(sP4_iProver_def,sP3_iProver_def) = sP2_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_965,c_2002]) ).
cnf(c_7715,plain,
( sk_c5 = sP2_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7701,c_2457]) ).
cnf(c_8513,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1550,c_70]) ).
cnf(c_8522,plain,
multiply(inverse(sk_c5),sP2_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_284,c_8513]) ).
cnf(c_8527,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_70,c_8513]) ).
cnf(c_8528,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_8513]) ).
cnf(c_8529,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_72,c_8513]) ).
cnf(c_8601,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1562,c_8513]) ).
cnf(c_8602,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1561,c_8513]) ).
cnf(c_8603,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1560,c_8513]) ).
cnf(c_8604,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1559,c_8513]) ).
cnf(c_8630,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8513,c_8513]) ).
cnf(c_9024,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8528,c_8630]) ).
cnf(c_9043,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9024,c_8527]) ).
cnf(c_10515,plain,
( sk_c6 != sP10_iProver_def
| ~ sP1_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_308,c_1150]) ).
cnf(c_10517,plain,
( sk_c6 != sP10_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_306,c_1150]) ).
cnf(c_10518,plain,
( sk_c6 != sP10_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_305,c_1150]) ).
cnf(c_10631,plain,
multiply(sk_c4,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_8601,c_71]) ).
cnf(c_10635,plain,
multiply(sk_c4,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_8601,c_8513]) ).
cnf(c_10636,plain,
multiply(sk_c4,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_8601,c_9024]) ).
cnf(c_10653,plain,
( ~ sP1_iProver_def
| sk_c6 != sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10515,c_1154,c_10518,c_10517]) ).
cnf(c_10654,plain,
( sk_c6 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_10653]) ).
cnf(c_10698,plain,
( ~ sP1_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_10654]) ).
cnf(c_10700,plain,
( ~ sP1_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_310,c_10654]) ).
cnf(c_10701,plain,
( ~ sP1_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_309,c_10654]) ).
cnf(c_10806,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_10698,c_1154,c_10701,c_10700]) ).
cnf(c_10825,plain,
multiply(sk_c2,identity) = multiply(sP6_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_10631,c_1548]) ).
cnf(c_10916,plain,
inverse(sP4_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_10636,c_9024]) ).
cnf(c_10963,plain,
multiply(sP6_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_10825,c_9024]) ).
cnf(c_10964,plain,
multiply(inverse(sP6_iProver_def),sk_c2) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10963,c_8513]) ).
cnf(c_10969,plain,
multiply(inverse(sP6_iProver_def),multiply(sk_c2,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_10964,c_72]) ).
cnf(c_11155,plain,
multiply(sk_c3,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_8602,c_71]) ).
cnf(c_11160,plain,
multiply(sk_c3,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_8602,c_9024]) ).
cnf(c_11427,plain,
multiply(sk_c1,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_8603,c_71]) ).
cnf(c_11607,plain,
( multiply(sP2_iProver_def,sP2_iProver_def) = multiply(sP3_iProver_def,sP10_iProver_def)
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_312,c_5164]) ).
cnf(c_12130,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_8604,c_71]) ).
cnf(c_12135,plain,
multiply(sk_c2,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_8604,c_9024]) ).
cnf(c_12168,plain,
multiply(inverse(sP6_iProver_def),identity) = multiply(sP4_iProver_def,sP8_iProver_def),
inference(superposition,[status(thm)],[c_12130,c_10969]) ).
cnf(c_12189,plain,
inverse(sP8_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_12135,c_9024]) ).
cnf(c_12722,plain,
( sk_c5 != sk_c4
| sk_c5 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1212,c_9043]) ).
cnf(c_12871,plain,
multiply(sP4_iProver_def,sP8_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_12168,c_9024]) ).
cnf(c_12881,plain,
multiply(sk_c4,inverse(sP6_iProver_def)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_12871,c_10635]) ).
cnf(c_13179,plain,
multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP2_iProver_def)) = sk_c6,
inference(superposition,[status(thm)],[c_284,c_8529]) ).
cnf(c_13200,plain,
( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP2_iProver_def)) = sP7_iProver_def
| sk_c5 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_8529]) ).
cnf(c_13203,plain,
( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sP2_iProver_def)) = sP5_iProver_def
| sk_c5 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_8529]) ).
cnf(c_13310,plain,
( multiply(inverse(multiply(X0,sP3_iProver_def)),multiply(X0,multiply(sP2_iProver_def,sP2_iProver_def))) = sP10_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_11607,c_8529]) ).
cnf(c_15168,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_13310,c_13203,c_13200,c_13179,c_12881,c_12871,c_12722,c_12189,c_12168,c_12135,c_12130,c_11427,c_11160,c_11155,c_10963,c_10916,c_10806,c_10631,c_9043,c_8522,c_7715,c_5657,c_5051,c_2457,c_2432,c_2375,c_2347,c_1720,c_1225,c_1022,c_316,c_315,c_314,c_313,c_311,c_303,c_300,c_299,c_298,c_297,c_293,c_291,c_288,c_286,c_285,c_284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 00:15:07 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.95/1.67 % SZS status Started for theBenchmark.p
% 7.95/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67
% 7.95/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.67
% 7.95/1.67 ------ iProver source info
% 7.95/1.67
% 7.95/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.67 git: non_committed_changes: false
% 7.95/1.67
% 7.95/1.67 ------ Parsing...successful
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.95/1.67
% 7.95/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.95/1.67 ------ Proving...
% 7.95/1.67 ------ Problem Properties
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 clauses 35
% 7.95/1.67 conjectures 23
% 7.95/1.67 EPR 21
% 7.95/1.67 Horn 14
% 7.95/1.67 unary 12
% 7.95/1.67 binary 20
% 7.95/1.67 lits 63
% 7.95/1.67 lits eq 59
% 7.95/1.67 fd_pure 0
% 7.95/1.67 fd_pseudo 0
% 7.95/1.67 fd_cond 0
% 7.95/1.67 fd_pseudo_cond 0
% 7.95/1.67 AC symbols 0
% 7.95/1.67
% 7.95/1.67 ------ Schedule dynamic 5 is on
% 7.95/1.67
% 7.95/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------
% 7.95/1.67 Current options:
% 7.95/1.67 ------
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 ------ Proving...
% 7.95/1.67
% 7.95/1.67
% 7.95/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.67
% 7.95/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.67
% 7.95/1.67
%------------------------------------------------------------------------------