TSTP Solution File: GRP067-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:20:50 EDT 2024
% Result : Unsatisfiable 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(identity,X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(identity,X0) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
divide(X0,X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_72,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_73,plain,
divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(light_normalisation,[status(thm)],[c_49,c_51,c_52]) ).
cnf(c_74,plain,
divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c_73,c_51]) ).
cnf(c_85,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_86,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_87,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_88,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_89,plain,
inverse(a1) = sP4_iProver_def,
definition ).
cnf(c_90,plain,
multiply(sP4_iProver_def,a1) = sP5_iProver_def,
definition ).
cnf(c_91,plain,
multiply(identity,a2) = sP6_iProver_def,
definition ).
cnf(c_92,negated_conjecture,
( sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != identity
| sP6_iProver_def != a2 ),
inference(demodulation,[status(thm)],[c_53,c_91,c_89,c_90,c_87,c_88,c_85,c_86]) ).
cnf(c_158,plain,
divide(X0,sP4_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_89,c_72]) ).
cnf(c_160,plain,
divide(sP4_iProver_def,sP4_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_90,c_158]) ).
cnf(c_165,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_51,c_52]) ).
cnf(c_179,plain,
inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(inverse(divide(X2,X1)),X3),
inference(superposition,[status(thm)],[c_74,c_74]) ).
cnf(c_194,plain,
identity = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_160,c_52]) ).
cnf(c_195,plain,
inverse(sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_165,c_194]) ).
cnf(c_196,plain,
divide(sP5_iProver_def,X0) = inverse(X0),
inference(demodulation,[status(thm)],[c_51,c_194]) ).
cnf(c_197,plain,
multiply(sP5_iProver_def,a2) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_91,c_194]) ).
cnf(c_198,plain,
divide(X0,X0) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_52,c_194]) ).
cnf(c_199,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_92,c_194]) ).
cnf(c_200,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_199]) ).
cnf(c_206,plain,
divide(X0,sP5_iProver_def) = multiply(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_195,c_72]) ).
cnf(c_213,plain,
divide(inverse(divide(X0,divide(X1,sP5_iProver_def))),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_198,c_74]) ).
cnf(c_227,plain,
multiply(sP5_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_196,c_72]) ).
cnf(c_229,plain,
divide(inverse(inverse(divide(X0,divide(inverse(sP5_iProver_def),X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_196,c_74]) ).
cnf(c_230,plain,
divide(inverse(inverse(divide(X0,divide(sP5_iProver_def,X1)))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_229,c_195]) ).
cnf(c_259,plain,
divide(X0,multiply(sP5_iProver_def,X1)) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_227,c_72]) ).
cnf(c_356,plain,
multiply(inverse(divide(X0,divide(X1,sP5_iProver_def))),X0) = X1,
inference(demodulation,[status(thm)],[c_213,c_72]) ).
cnf(c_360,plain,
multiply(inverse(sP5_iProver_def),divide(X0,sP5_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_198,c_356]) ).
cnf(c_369,plain,
multiply(sP5_iProver_def,divide(X0,sP5_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_360,c_195]) ).
cnf(c_653,plain,
divide(multiply(sP5_iProver_def,multiply(X0,X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_230,c_72,c_196,c_227]) ).
cnf(c_664,plain,
divide(multiply(sP5_iProver_def,divide(X0,sP5_iProver_def)),sP5_iProver_def) = X0,
inference(superposition,[status(thm)],[c_206,c_653]) ).
cnf(c_672,plain,
multiply(multiply(sP5_iProver_def,multiply(X0,inverse(X1))),X1) = X0,
inference(superposition,[status(thm)],[c_653,c_72]) ).
cnf(c_676,plain,
multiply(sP5_iProver_def,multiply(X0,sP5_iProver_def)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_653,c_369]) ).
cnf(c_682,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_676,c_206,c_369]) ).
cnf(c_684,plain,
divide(X0,sP5_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_664,c_369]) ).
cnf(c_694,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_227,c_682]) ).
cnf(c_695,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_259,c_682]) ).
cnf(c_697,plain,
a2 = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_197,c_682]) ).
cnf(c_699,plain,
sP1_iProver_def != sP3_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_200,c_697]) ).
cnf(c_784,plain,
divide(inverse(divide(X0,divide(X1,inverse(X0)))),sP5_iProver_def) = X1,
inference(superposition,[status(thm)],[c_684,c_74]) ).
cnf(c_839,plain,
multiply(multiply(sP5_iProver_def,divide(X0,X1)),X1) = X0,
inference(light_normalisation,[status(thm)],[c_672,c_695]) ).
cnf(c_840,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_839,c_682]) ).
cnf(c_846,plain,
inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_74,c_840]) ).
cnf(c_918,plain,
inverse(divide(X0,multiply(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_784,c_72,c_684]) ).
cnf(c_930,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_840,c_918]) ).
cnf(c_949,plain,
divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_930]) ).
cnf(c_1181,plain,
divide(inverse(c3),b3) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_87,c_949]) ).
cnf(c_1182,plain,
divide(inverse(c3),sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_86,c_949]) ).
cnf(c_1183,plain,
divide(inverse(sP2_iProver_def),a3) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_88,c_949]) ).
cnf(c_1194,plain,
multiply(X0,divide(inverse(X1),X2)) = divide(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_949,c_695]) ).
cnf(c_1250,plain,
divide(sP0_iProver_def,inverse(c3)) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1182,c_930]) ).
cnf(c_1283,plain,
divide(a3,inverse(sP2_iProver_def)) = inverse(inverse(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_1183,c_930]) ).
cnf(c_1374,plain,
divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(demodulation,[status(thm)],[c_179,c_846,c_930,c_1194]) ).
cnf(c_1384,plain,
divide(X0,multiply(X1,inverse(X2))) = divide(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_72,c_1374]) ).
cnf(c_1738,plain,
divide(multiply(X0,X1),X2) = divide(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[c_1384,c_695]) ).
cnf(c_1746,plain,
divide(a3,divide(X0,b3)) = divide(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_85,c_1738]) ).
cnf(c_1888,plain,
divide(a3,inverse(sP2_iProver_def)) = divide(sP0_iProver_def,inverse(c3)),
inference(superposition,[status(thm)],[c_1181,c_1746]) ).
cnf(c_1896,plain,
inverse(inverse(sP1_iProver_def)) = inverse(inverse(sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_1888,c_1250,c_1283]) ).
cnf(c_1928,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_1896,c_694]) ).
cnf(c_1929,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1928,c_699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:16:06 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...successful
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 12
% 0.44/1.13 conjectures 1
% 0.44/1.13 EPR 1
% 0.44/1.13 Horn 12
% 0.44/1.13 unary 11
% 0.44/1.13 binary 0
% 0.44/1.13 lits 14
% 0.44/1.13 lits eq 14
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 0
% 0.44/1.13 fd_pseudo_cond 0
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Schedule dynamic 5 is on
% 0.44/1.13
% 0.44/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.13
%------------------------------------------------------------------------------