TSTP Solution File: GRP088-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 02:20:55 EDT 2024
% Result : Unsatisfiable 0.48s 1.15s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(divide(X0,X0),X1) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_70,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_81,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_82,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_83,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_84,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_85,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_86,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_87,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_88,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_89,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_90,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_91,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_92,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_93,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_94,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_52,c_93,c_92,c_90,c_91,c_88,c_89,c_86,c_87,c_84,c_85,c_81,c_82,c_83]) ).
cnf(c_172,plain,
divide(X0,sP7_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_88,c_70]) ).
cnf(c_173,plain,
divide(X0,sP9_iProver_def) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_90,c_70]) ).
cnf(c_174,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_81,c_70]) ).
cnf(c_184,plain,
divide(multiply(sP7_iProver_def,a1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_172,c_51]) ).
cnf(c_185,plain,
divide(multiply(sP9_iProver_def,b1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_173,c_51]) ).
cnf(c_186,plain,
divide(multiply(sP0_iProver_def,b2),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_174,c_51]) ).
cnf(c_188,plain,
multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_51,c_70]) ).
cnf(c_192,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_186,c_82]) ).
cnf(c_193,plain,
divide(sP10_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_185,c_91]) ).
cnf(c_194,plain,
divide(sP8_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_184,c_89]) ).
cnf(c_208,plain,
divide(inverse(sP1_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_192,c_51]) ).
cnf(c_209,plain,
multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_192,c_70]) ).
cnf(c_220,plain,
multiply(sP10_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_193,c_70]) ).
cnf(c_224,plain,
multiply(sP1_iProver_def,X0) = multiply(sP10_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_220,c_209]) ).
cnf(c_234,plain,
divide(inverse(sP8_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_194,c_51]) ).
cnf(c_235,plain,
multiply(sP8_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_194,c_70]) ).
cnf(c_239,plain,
multiply(sP1_iProver_def,X0) = multiply(sP8_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_235,c_209]) ).
cnf(c_294,plain,
divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2))))) = X1,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_302,plain,
divide(X0,divide(X1,inverse(divide(X0,X1)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_192,c_49]) ).
cnf(c_307,plain,
divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(superposition,[status(thm)],[c_70,c_49]) ).
cnf(c_321,plain,
inverse(divide(X0,divide(X1,divide(sP8_iProver_def,X0)))) = X1,
inference(superposition,[status(thm)],[c_49,c_194]) ).
cnf(c_322,plain,
inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(light_normalisation,[status(thm)],[c_321,c_194]) ).
cnf(c_407,plain,
divide(X0,divide(X1,inverse(divide(X0,X1)))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_208,c_49]) ).
cnf(c_418,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_407,c_302]) ).
cnf(c_445,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_418,c_70]) ).
cnf(c_452,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_418,c_209]) ).
cnf(c_519,plain,
divide(X0,divide(X1,inverse(divide(X0,X1)))) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_234,c_49]) ).
cnf(c_530,plain,
inverse(sP8_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_519,c_302]) ).
cnf(c_621,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP8_iProver_def),
inference(superposition,[status(thm)],[c_530,c_70]) ).
cnf(c_623,plain,
multiply(X0,sP1_iProver_def) = multiply(X0,sP8_iProver_def),
inference(light_normalisation,[status(thm)],[c_621,c_445]) ).
cnf(c_721,plain,
multiply(divide(X0,X0),X1) = multiply(sP1_iProver_def,X1),
inference(demodulation,[status(thm)],[c_188,c_209]) ).
cnf(c_798,plain,
inverse(divide(X0,multiply(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_322,c_70]) ).
cnf(c_803,plain,
inverse(inverse(multiply(X0,sP8_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_194,c_798]) ).
cnf(c_805,plain,
inverse(divide(c3,sP5_iProver_def)) = b3,
inference(superposition,[status(thm)],[c_86,c_798]) ).
cnf(c_827,plain,
inverse(inverse(multiply(X0,sP1_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_803,c_623]) ).
cnf(c_859,plain,
multiply(X0,divide(c3,sP5_iProver_def)) = divide(X0,b3),
inference(superposition,[status(thm)],[c_805,c_70]) ).
cnf(c_1081,plain,
multiply(sP1_iProver_def,multiply(X0,sP1_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_827,c_209]) ).
cnf(c_1082,plain,
multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def)) = divide(X0,X0),
inference(superposition,[status(thm)],[c_721,c_1081]) ).
cnf(c_1083,plain,
multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_224,c_1081]) ).
cnf(c_1084,plain,
multiply(sP1_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_239,c_1081]) ).
cnf(c_1086,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_1084,c_452]) ).
cnf(c_1087,plain,
sP1_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_1083,c_452]) ).
cnf(c_1088,plain,
divide(X0,X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1082,c_452]) ).
cnf(c_1095,plain,
( a2 != sP2_iProver_def
| sP1_iProver_def != sP10_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_94,c_1086]) ).
cnf(c_1096,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_1095,c_1087]) ).
cnf(c_1151,plain,
divide(X0,divide(X0,divide(X1,sP1_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_1088,c_49]) ).
cnf(c_1152,plain,
divide(X0,divide(X1,sP1_iProver_def)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1088,c_49]) ).
cnf(c_1153,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1088,c_70]) ).
cnf(c_1221,plain,
inverse(divide(X0,sP1_iProver_def)) = inverse(X0),
inference(superposition,[status(thm)],[c_1153,c_798]) ).
cnf(c_1226,plain,
inverse(multiply(X0,sP1_iProver_def)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1221,c_445]) ).
cnf(c_1355,plain,
multiply(sP1_iProver_def,multiply(X0,sP1_iProver_def)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1226,c_209]) ).
cnf(c_1358,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1355,c_209,c_1081]) ).
cnf(c_1360,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_209,c_1358]) ).
cnf(c_1363,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_83,c_1358]) ).
cnf(c_1364,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_1081,c_1358]) ).
cnf(c_1367,plain,
divide(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_445,c_1364]) ).
cnf(c_1369,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1096,c_1363]) ).
cnf(c_1416,plain,
divide(c3,sP5_iProver_def) = divide(sP1_iProver_def,b3),
inference(superposition,[status(thm)],[c_1358,c_859]) ).
cnf(c_1446,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1360,c_70]) ).
cnf(c_1457,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_294,c_70,c_1088,c_1367]) ).
cnf(c_1461,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_70,c_1457]) ).
cnf(c_1555,plain,
divide(c3,sP5_iProver_def) = inverse(b3),
inference(demodulation,[status(thm)],[c_1416,c_192]) ).
cnf(c_1557,plain,
multiply(sP5_iProver_def,inverse(b3)) = c3,
inference(superposition,[status(thm)],[c_1555,c_1457]) ).
cnf(c_1559,plain,
divide(sP5_iProver_def,b3) = c3,
inference(demodulation,[status(thm)],[c_1557,c_1446]) ).
cnf(c_1608,plain,
divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_1151,c_1152]) ).
cnf(c_1613,plain,
divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_70,c_1608]) ).
cnf(c_1625,plain,
divide(sP5_iProver_def,c3) = b3,
inference(superposition,[status(thm)],[c_1559,c_1608]) ).
cnf(c_1649,plain,
divide(a4,sP11_iProver_def) = inverse(b4),
inference(superposition,[status(thm)],[c_92,c_1613]) ).
cnf(c_1652,plain,
divide(sP3_iProver_def,sP4_iProver_def) = inverse(c3),
inference(superposition,[status(thm)],[c_85,c_1613]) ).
cnf(c_1653,plain,
divide(a3,sP6_iProver_def) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_87,c_1613]) ).
cnf(c_1721,plain,
multiply(c3,b3) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1625,c_1457]) ).
cnf(c_1744,plain,
multiply(inverse(b3),sP5_iProver_def) = c3,
inference(superposition,[status(thm)],[c_1721,c_1461]) ).
cnf(c_1750,plain,
multiply(sP11_iProver_def,inverse(b4)) = a4,
inference(superposition,[status(thm)],[c_1649,c_1457]) ).
cnf(c_1754,plain,
multiply(sP4_iProver_def,inverse(c3)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1652,c_1457]) ).
cnf(c_1756,plain,
divide(a3,inverse(sP5_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_1653,c_1608]) ).
cnf(c_1760,plain,
divide(inverse(b3),c3) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_1744,c_1613]) ).
cnf(c_1762,plain,
divide(sP11_iProver_def,b4) = a4,
inference(demodulation,[status(thm)],[c_1750,c_1446]) ).
cnf(c_1764,plain,
multiply(b4,a4) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_1762,c_1457]) ).
cnf(c_1765,plain,
sP11_iProver_def = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_93,c_1764]) ).
cnf(c_1766,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1369,c_1765]) ).
cnf(c_1798,plain,
divide(sP4_iProver_def,c3) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_1754,c_1446]) ).
cnf(c_1799,plain,
divide(sP4_iProver_def,sP3_iProver_def) = c3,
inference(superposition,[status(thm)],[c_1798,c_1608]) ).
cnf(c_2233,plain,
divide(a3,divide(inverse(b3),divide(X0,sP3_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_84,c_307]) ).
cnf(c_2447,plain,
divide(a3,divide(inverse(b3),c3)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_1799,c_2233]) ).
cnf(c_2451,plain,
sP4_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_2447,c_1756,c_1760]) ).
cnf(c_2452,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2451,c_1766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n007.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 : Thu May 2 23:48:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 0.48/1.15 % SZS status Started for theBenchmark.p
% 0.48/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.15
% 0.48/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.15
% 0.48/1.15 ------ iProver source info
% 0.48/1.15
% 0.48/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.15 git: non_committed_changes: false
% 0.48/1.15
% 0.48/1.15 ------ Parsing...successful
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.48/1.15 ------ Proving...
% 0.48/1.15 ------ Problem Properties
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 clauses 17
% 0.48/1.15 conjectures 1
% 0.48/1.15 EPR 1
% 0.48/1.15 Horn 17
% 0.48/1.15 unary 16
% 0.48/1.15 binary 0
% 0.48/1.15 lits 20
% 0.48/1.15 lits eq 20
% 0.48/1.15 fd_pure 0
% 0.48/1.15 fd_pseudo 0
% 0.48/1.15 fd_cond 0
% 0.48/1.15 fd_pseudo_cond 0
% 0.48/1.15 AC symbols 0
% 0.48/1.15
% 0.48/1.15 ------ Schedule dynamic 5 is on
% 0.48/1.15
% 0.48/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 ------
% 0.48/1.15 Current options:
% 0.48/1.15 ------
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 ------ Proving...
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.15
% 0.48/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.15
% 0.48/1.16
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