TSTP Solution File: GRP253-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:21:55 EDT 2024
% Result : Unsatisfiable 7.73s 1.68s
% Output : CNFRefutation 7.73s
% 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_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c5) != sk_c6
| multiply(X3,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7
| inverse(sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_69,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_70,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_263,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_67]) ).
cnf(c_264,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_67]) ).
cnf(c_265,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_67]) ).
cnf(c_266,negated_conjecture,
( inverse(sk_c5) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_67]) ).
cnf(c_267,plain,
inverse(sk_c5) = sP3_iProver_def,
definition ).
cnf(c_268,plain,
multiply(sk_c3,sk_c5) = sP4_iProver_def,
definition ).
cnf(c_269,plain,
inverse(sk_c4) = sP5_iProver_def,
definition ).
cnf(c_270,plain,
multiply(sk_c4,sk_c7) = sP6_iProver_def,
definition ).
cnf(c_271,plain,
inverse(sk_c3) = sP7_iProver_def,
definition ).
cnf(c_272,plain,
inverse(sk_c2) = sP8_iProver_def,
definition ).
cnf(c_273,plain,
multiply(sk_c2,sk_c6) = sP9_iProver_def,
definition ).
cnf(c_274,plain,
inverse(sk_c1) = sP10_iProver_def,
definition ).
cnf(c_275,plain,
multiply(sk_c1,sk_c7) = sP11_iProver_def,
definition ).
cnf(c_276,negated_conjecture,
( sP3_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_266,c_267]) ).
cnf(c_278,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_265]) ).
cnf(c_279,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_264]) ).
cnf(c_280,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_263]) ).
cnf(c_281,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP4_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_66,c_268]) ).
cnf(c_282,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65,c_269]) ).
cnf(c_283,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_64,c_270]) ).
cnf(c_284,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_63,c_271]) ).
cnf(c_285,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_286,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_287,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_60,c_272]) ).
cnf(c_288,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_289,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_290,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_57,c_273]) ).
cnf(c_291,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_292,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_293,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54,c_274]) ).
cnf(c_294,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_295,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_296,negated_conjecture,
( sP3_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51,c_275]) ).
cnf(c_297,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_298,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_300,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_513,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c6 = sP6_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_286,c_276]) ).
cnf(c_536,plain,
( sk_c6 = sP3_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_287,c_281]) ).
cnf(c_553,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_285,c_270]) ).
cnf(c_559,plain,
( multiply(sk_c2,sP8_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_287,c_273]) ).
cnf(c_560,plain,
( multiply(sk_c2,sP7_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_286,c_273]) ).
cnf(c_561,plain,
( multiply(sk_c2,sP7_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_284,c_273]) ).
cnf(c_562,plain,
( multiply(sk_c2,sP6_iProver_def) = sP9_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_283,c_273]) ).
cnf(c_563,plain,
( multiply(sk_c2,sP4_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_281,c_273]) ).
cnf(c_578,plain,
( multiply(sk_c4,sP5_iProver_def) = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_288,c_270]) ).
cnf(c_589,plain,
( multiply(sk_c2,sP8_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_273]) ).
cnf(c_590,plain,
( sk_c6 = sP6_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_286]) ).
cnf(c_593,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_281]) ).
cnf(c_614,plain,
( multiply(sk_c3,sP9_iProver_def) = sP4_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_290,c_268]) ).
cnf(c_624,plain,
( multiply(sk_c3,sP9_iProver_def) = sP4_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_291,c_268]) ).
cnf(c_634,plain,
( multiply(sk_c3,sP9_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_292,c_268]) ).
cnf(c_640,plain,
( inverse(X0) != X1
| sk_c6 != X1
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_649,plain,
( multiply(sk_c4,sP10_iProver_def) = sP6_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_293,c_270]) ).
cnf(c_669,plain,
( inverse(sk_c5) != sP3_iProver_def
| sk_c6 != sP3_iProver_def
| inverse(sk_c5) = sk_c6 ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_682,plain,
( multiply(sk_c4,sP10_iProver_def) = sP6_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_294,c_270]) ).
cnf(c_704,plain,
( multiply(sk_c4,sP10_iProver_def) = sP6_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_295,c_270]) ).
cnf(c_720,plain,
( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_293,c_275]) ).
cnf(c_736,plain,
( multiply(sk_c5,sk_c5) != sk_c6
| inverse(sk_c5) != sk_c6
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_742,plain,
multiply(sP5_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_269,c_69]) ).
cnf(c_743,plain,
multiply(sP3_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_267,c_69]) ).
cnf(c_744,plain,
multiply(sP10_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_274,c_69]) ).
cnf(c_745,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_272,c_69]) ).
cnf(c_746,plain,
multiply(sP7_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_271,c_69]) ).
cnf(c_777,plain,
( multiply(sk_c2,sP11_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_296,c_273]) ).
cnf(c_783,plain,
( sP3_iProver_def != sP11_iProver_def
| sk_c6 = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_296,c_276]) ).
cnf(c_813,plain,
( multiply(sk_c1,sP5_iProver_def) = sP11_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_297,c_275]) ).
cnf(c_846,plain,
( multiply(sk_c2,sP11_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_298,c_273]) ).
cnf(c_897,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_275,c_278]) ).
cnf(c_898,plain,
( inverse(sk_c4) != sk_c7
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_270,c_278]) ).
cnf(c_911,plain,
( sk_c7 != sP5_iProver_def
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_898,c_269]) ).
cnf(c_915,plain,
( sk_c7 != sP10_iProver_def
| sk_c6 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_897,c_274]) ).
cnf(c_974,plain,
( inverse(sk_c2) != sk_c6
| sk_c5 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_273,c_279]) ).
cnf(c_976,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c5 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_69,c_279]) ).
cnf(c_988,plain,
( sk_c6 != sP8_iProver_def
| sk_c5 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_974,c_272]) ).
cnf(c_1051,plain,
( inverse(sk_c3) != sk_c6
| sk_c6 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_268,c_280]) ).
cnf(c_1064,plain,
( sk_c6 != sP4_iProver_def
| sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1051,c_271]) ).
cnf(c_1318,plain,
( sk_c6 = sP6_iProver_def
| sP3_iProver_def = sP7_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_286]) ).
cnf(c_1492,plain,
multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_268,c_70]) ).
cnf(c_1494,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_69,c_70]) ).
cnf(c_1496,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_742,c_70]) ).
cnf(c_1497,plain,
multiply(sP3_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_743,c_70]) ).
cnf(c_1498,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_744,c_70]) ).
cnf(c_1499,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_745,c_70]) ).
cnf(c_1504,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1499,c_68]) ).
cnf(c_1505,plain,
multiply(sP10_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1498,c_68]) ).
cnf(c_1506,plain,
multiply(sP3_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1497,c_68]) ).
cnf(c_1507,plain,
multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1496,c_68]) ).
cnf(c_1547,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_746,c_70]) ).
cnf(c_1548,plain,
multiply(sP7_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1547,c_68]) ).
cnf(c_2376,plain,
multiply(sP8_iProver_def,sP9_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_273,c_1504]) ).
cnf(c_2398,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_275,c_1505]) ).
cnf(c_2439,plain,
multiply(sP5_iProver_def,sP6_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_270,c_1507]) ).
cnf(c_2447,plain,
multiply(sP7_iProver_def,sP4_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_268,c_1548]) ).
cnf(c_2467,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_559,c_1504]) ).
cnf(c_2468,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2467,c_2376]) ).
cnf(c_2494,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP7_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_560,c_1504]) ).
cnf(c_2495,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2494,c_2376]) ).
cnf(c_2506,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP7_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_561,c_1504]) ).
cnf(c_2507,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2506,c_2376]) ).
cnf(c_2518,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP6_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_562,c_1504]) ).
cnf(c_2519,plain,
( sk_c6 = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2518,c_2376]) ).
cnf(c_2530,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP4_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_563,c_1504]) ).
cnf(c_2531,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2530,c_2376]) ).
cnf(c_2542,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_578,c_1507]) ).
cnf(c_2543,plain,
( sk_c7 = sP5_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2542,c_2439]) ).
cnf(c_2554,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP8_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_589,c_1504]) ).
cnf(c_2555,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2554,c_2376]) ).
cnf(c_2568,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP9_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_614,c_1548]) ).
cnf(c_2569,plain,
( sk_c6 = sP3_iProver_def
| sk_c5 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2568,c_2447]) ).
cnf(c_2580,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP9_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_624,c_1548]) ).
cnf(c_2581,plain,
( sk_c7 = sP5_iProver_def
| sk_c5 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2580,c_2447]) ).
cnf(c_2592,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP9_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_634,c_1548]) ).
cnf(c_2593,plain,
( sk_c6 = sP6_iProver_def
| sk_c5 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2592,c_2447]) ).
cnf(c_2681,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_649,c_1507]) ).
cnf(c_2682,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2681,c_2439]) ).
cnf(c_2693,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_682,c_1507]) ).
cnf(c_2694,plain,
( sk_c7 = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2693,c_2439]) ).
cnf(c_2705,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_704,c_1507]) ).
cnf(c_2706,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2705,c_2439]) ).
cnf(c_2801,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP11_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_777,c_1504]) ).
cnf(c_2802,plain,
( sk_c6 = sP3_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2801,c_2376]) ).
cnf(c_2823,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP5_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_813,c_1505]) ).
cnf(c_2824,plain,
( sk_c7 = sP5_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2823,c_2398]) ).
cnf(c_3003,plain,
( multiply(sP8_iProver_def,sP9_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_846,c_1504]) ).
cnf(c_3004,plain,
( sk_c6 = sP6_iProver_def
| sk_c6 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3003,c_2376]) ).
cnf(c_3052,plain,
( sk_c6 = sP6_iProver_def
| sP3_iProver_def != sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_513,c_513,c_915,c_988,c_1064,c_2495,c_2519,c_2555,c_2593,c_2706,c_3004]) ).
cnf(c_3053,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(renaming,[status(thm)],[c_3052]) ).
cnf(c_3231,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_593,c_1318,c_3053]) ).
cnf(c_3585,plain,
( sk_c6 = sP3_iProver_def
| sP3_iProver_def != sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_783,c_783,c_915,c_988,c_1064,c_2468,c_2507,c_2531,c_2569,c_2682,c_2802]) ).
cnf(c_3586,plain,
( sP3_iProver_def != sP11_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(renaming,[status(thm)],[c_3585]) ).
cnf(c_4057,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1494,c_68]) ).
cnf(c_4070,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_68,c_4057]) ).
cnf(c_4071,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_69,c_4057]) ).
cnf(c_4123,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1507,c_4057]) ).
cnf(c_4124,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1506,c_4057]) ).
cnf(c_4125,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1505,c_4057]) ).
cnf(c_4126,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1504,c_4057]) ).
cnf(c_4127,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1548,c_4057]) ).
cnf(c_4139,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4057,c_4057]) ).
cnf(c_4353,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4071,c_4139]) ).
cnf(c_4374,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4353,c_4070]) ).
cnf(c_4425,plain,
( sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_911,c_915,c_911,c_2694,c_2824]) ).
cnf(c_4427,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4425,c_915,c_2706,c_3004,c_4425]) ).
cnf(c_4435,plain,
( sk_c6 != sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_276,c_4427]) ).
cnf(c_4563,plain,
( sk_c5 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_988]) ).
cnf(c_4564,plain,
( sk_c5 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_287,c_988]) ).
cnf(c_4565,plain,
( sk_c5 != sP9_iProver_def
| sP7_iProver_def != sP8_iProver_def
| ~ sP1_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_286,c_988]) ).
cnf(c_4668,plain,
( ~ sP1_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4563,c_590,c_2593,c_4565]) ).
cnf(c_4678,plain,
( ~ sP1_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4564,c_2569,c_4564]) ).
cnf(c_4714,plain,
( sk_c6 != sP7_iProver_def
| sP4_iProver_def != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_298,c_1064]) ).
cnf(c_4716,plain,
( sk_c6 != sP7_iProver_def
| sP4_iProver_def != sP8_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_289,c_1064]) ).
cnf(c_4721,plain,
( sk_c6 != sP7_iProver_def
| ~ sP0_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_281,c_1064]) ).
cnf(c_4873,plain,
( ~ sP0_iProver_def
| sk_c6 = sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4721,c_2507,c_4721]) ).
cnf(c_4933,plain,
multiply(sk_c4,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4123,c_69]) ).
cnf(c_4949,plain,
( sk_c6 = sP7_iProver_def
| identity = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_553,c_4933]) ).
cnf(c_5362,plain,
( multiply(sk_c5,sk_c6) != sk_c5
| inverse(sk_c5) != sk_c6
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_279]) ).
cnf(c_6118,plain,
multiply(sk_c5,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4124,c_69]) ).
cnf(c_6121,plain,
( multiply(sk_c5,sk_c5) != sk_c6
| inverse(inverse(sP3_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_4124,c_280]) ).
cnf(c_6122,plain,
( multiply(sk_c5,sk_c6) != sk_c5
| inverse(inverse(sP3_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_4124,c_279]) ).
cnf(c_6124,plain,
multiply(sk_c5,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_4124,c_4353]) ).
cnf(c_6186,plain,
multiply(sk_c3,identity) = multiply(sP4_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_6118,c_1492]) ).
cnf(c_6323,plain,
inverse(sP3_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_6124,c_4353]) ).
cnf(c_6415,plain,
multiply(sP4_iProver_def,sP3_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_6186,c_4353]) ).
cnf(c_6796,plain,
multiply(sk_c1,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4125,c_69]) ).
cnf(c_6809,plain,
( sk_c6 = sP3_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_720,c_6796]) ).
cnf(c_7272,plain,
( identity = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_6809,c_4435]) ).
cnf(c_7675,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_4126,c_69]) ).
cnf(c_7696,plain,
( sk_c6 = sP3_iProver_def
| identity = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_559,c_7675]) ).
cnf(c_8208,plain,
( identity = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7696,c_4435]) ).
cnf(c_8406,plain,
( ~ sP0_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4714,c_2495,c_3231,c_4716]) ).
cnf(c_9306,plain,
( multiply(sk_c5,sk_c5) != sk_c6
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6121,c_267,c_669,c_736,c_4873]) ).
cnf(c_9333,plain,
( multiply(sk_c5,sk_c6) != sk_c5
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6122,c_267,c_669,c_4678,c_5362]) ).
cnf(c_9343,plain,
( multiply(sP9_iProver_def,sk_c6) != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_291,c_9333]) ).
cnf(c_9471,plain,
( ~ sP1_iProver_def
| sk_c7 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9343,c_988,c_2543,c_2581]) ).
cnf(c_10055,plain,
multiply(sk_c3,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_4127,c_4353]) ).
cnf(c_11159,plain,
inverse(sP7_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_10055,c_4353]) ).
cnf(c_12385,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11159,c_10055,c_9471,c_9306,c_8406,c_8208,c_7272,c_6415,c_6323,c_6124,c_4949,c_4933,c_4873,c_4678,c_4668,c_4435,c_4427,c_4374,c_3586,c_1064,c_976,c_290,c_283,c_282,c_281,c_276,c_271,c_270,c_268,c_267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:23:35 EDT 2024
% 0.14/0.35 % 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
% 7.73/1.68 % SZS status Started for theBenchmark.p
% 7.73/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.68
% 7.73/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.73/1.68
% 7.73/1.68 ------ iProver source info
% 7.73/1.68
% 7.73/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.73/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.73/1.68 git: non_committed_changes: false
% 7.73/1.68
% 7.73/1.68 ------ Parsing...successful
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.73/1.68
% 7.73/1.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.73/1.68 ------ Proving...
% 7.73/1.68 ------ Problem Properties
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 clauses 34
% 7.73/1.68 conjectures 22
% 7.73/1.68 EPR 19
% 7.73/1.68 Horn 15
% 7.73/1.68 unary 12
% 7.73/1.68 binary 18
% 7.73/1.68 lits 61
% 7.73/1.68 lits eq 55
% 7.73/1.68 fd_pure 0
% 7.73/1.68 fd_pseudo 0
% 7.73/1.68 fd_cond 0
% 7.73/1.68 fd_pseudo_cond 0
% 7.73/1.68 AC symbols 0
% 7.73/1.68
% 7.73/1.68 ------ Schedule dynamic 5 is on
% 7.73/1.68
% 7.73/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 ------
% 7.73/1.68 Current options:
% 7.73/1.68 ------
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 ------ Proving...
% 7.73/1.68
% 7.73/1.68
% 7.73/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.68
% 7.73/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.68
% 7.73/1.68
%------------------------------------------------------------------------------