TSTP Solution File: LAT156-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT156-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:34:46 EDT 2024
% Result : Unsatisfiable 11.84s 2.20s
% Output : CNFRefutation 11.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))) = meet(X0,join(X1,meet(X2,join(X0,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H49) ).
cnf(c_50,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
cnf(c_53,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_54,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_55,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_56,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_57,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_58,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_68,negated_conjecture,
meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(theory_normalisation,[status(thm)],[c_50,c_57,c_55,c_58,c_56]) ).
cnf(c_93,plain,
join(a,b) = sP0_iProver_def,
definition ).
cnf(c_94,plain,
meet(c,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_95,plain,
meet(a,c) = sP2_iProver_def,
definition ).
cnf(c_96,plain,
join(b,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_97,plain,
meet(a,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_98,plain,
join(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_99,plain,
meet(a,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_100,negated_conjecture,
sP6_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_68,c_95,c_96,c_97,c_93,c_94,c_98,c_99]) ).
cnf(c_160,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_161,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_166,plain,
meet(sP0_iProver_def,c) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_94,c_58,c_56,c_57,c_55]) ).
cnf(c_167,plain,
join(sP2_iProver_def,b) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_96,c_58,c_56,c_57,c_55]) ).
cnf(c_168,plain,
meet(sP3_iProver_def,a) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_97,c_58,c_56,c_57,c_55]) ).
cnf(c_169,plain,
meet(sP5_iProver_def,a) = sP6_iProver_def,
inference(theory_normalisation,[status(thm)],[c_99,c_58,c_56,c_57,c_55]) ).
cnf(c_170,plain,
meet(a,sP0_iProver_def) = a,
inference(superposition,[status(thm)],[c_93,c_53]) ).
cnf(c_173,plain,
meet(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_167,c_53]) ).
cnf(c_174,plain,
meet(sP0_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_170,c_58,c_56,c_57,c_55]) ).
cnf(c_175,plain,
join(a,sP2_iProver_def) = a,
inference(superposition,[status(thm)],[c_95,c_54]) ).
cnf(c_179,plain,
join(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_168,c_54]) ).
cnf(c_180,plain,
join(sP5_iProver_def,sP6_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_169,c_54]) ).
cnf(c_182,plain,
join(sP2_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_175,c_58,c_56,c_57,c_55]) ).
cnf(c_183,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_187,plain,
join(sP0_iProver_def,a) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_174,c_54]) ).
cnf(c_194,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_56,c_53]) ).
cnf(c_202,plain,
join(a,sP4_iProver_def) = a,
inference(superposition,[status(thm)],[c_168,c_183]) ).
cnf(c_205,plain,
join(sP3_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_173,c_183]) ).
cnf(c_210,plain,
join(sP2_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_205,c_58,c_56,c_57,c_55]) ).
cnf(c_213,plain,
join(sP4_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_202,c_58,c_56,c_57,c_55]) ).
cnf(c_233,plain,
join(a,join(X0,b)) = join(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_93,c_160]) ).
cnf(c_235,plain,
join(X0,join(X1,meet(X0,X2))) = join(X1,X0),
inference(superposition,[status(thm)],[c_54,c_160]) ).
cnf(c_237,plain,
join(sP1_iProver_def,join(X0,sP4_iProver_def)) = join(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_98,c_160]) ).
cnf(c_242,plain,
join(sP2_iProver_def,join(X0,a)) = join(X0,a),
inference(superposition,[status(thm)],[c_182,c_160]) ).
cnf(c_248,plain,
meet(X0,join(X1,join(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_160,c_53]) ).
cnf(c_303,plain,
meet(sP3_iProver_def,meet(a,X0)) = meet(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_304,plain,
meet(sP5_iProver_def,meet(a,X0)) = meet(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_169,c_57]) ).
cnf(c_312,plain,
join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_57,c_183]) ).
cnf(c_345,plain,
join(sP5_iProver_def,join(sP6_iProver_def,X0)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_180,c_58]) ).
cnf(c_405,plain,
meet(a,join(X0,join(sP2_iProver_def,meet(c,join(X0,X1))))) = meet(a,join(X0,meet(c,join(a,X1)))),
inference(superposition,[status(thm)],[c_95,c_49]) ).
cnf(c_598,plain,
meet(sP4_iProver_def,a) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_213,c_53]) ).
cnf(c_722,plain,
meet(sP4_iProver_def,sP5_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_98,c_194]) ).
cnf(c_724,plain,
meet(b,sP3_iProver_def) = b,
inference(superposition,[status(thm)],[c_167,c_194]) ).
cnf(c_746,plain,
meet(sP3_iProver_def,b) = b,
inference(theory_normalisation,[status(thm)],[c_724,c_58,c_56,c_57,c_55]) ).
cnf(c_861,plain,
meet(sP0_iProver_def,meet(X0,c)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_166,c_161]) ).
cnf(c_935,plain,
join(sP3_iProver_def,b) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_746,c_54]) ).
cnf(c_1141,plain,
join(a,sP3_iProver_def) = join(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_167,c_233]) ).
cnf(c_1142,plain,
join(a,sP3_iProver_def) = join(sP3_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_935,c_233]) ).
cnf(c_1154,plain,
join(sP0_iProver_def,sP3_iProver_def) = join(sP3_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_1142,c_58,c_56,c_57,c_55]) ).
cnf(c_1155,plain,
join(sP0_iProver_def,sP2_iProver_def) = join(sP3_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_1141,c_58,c_56,c_57,c_55]) ).
cnf(c_1211,plain,
join(sP0_iProver_def,sP2_iProver_def) = join(sP0_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_1154,c_1155]) ).
cnf(c_1215,plain,
meet(sP3_iProver_def,join(sP0_iProver_def,sP2_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1211,c_194]) ).
cnf(c_1314,plain,
join(sP1_iProver_def,sP3_iProver_def) = join(sP3_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_179,c_237]) ).
cnf(c_1816,plain,
join(sP2_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_187,c_242]) ).
cnf(c_1828,plain,
join(sP0_iProver_def,sP2_iProver_def) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1816,c_58,c_56,c_57,c_55]) ).
cnf(c_1834,plain,
meet(sP3_iProver_def,sP0_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_1215,c_1828]) ).
cnf(c_1837,plain,
meet(sP0_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1834,c_58,c_56,c_57,c_55]) ).
cnf(c_1956,plain,
meet(sP0_iProver_def,meet(sP3_iProver_def,X0)) = meet(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_1837,c_57]) ).
cnf(c_3817,plain,
join(sP3_iProver_def,meet(sP4_iProver_def,X0)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_303,c_54]) ).
cnf(c_4024,plain,
join(sP3_iProver_def,meet(X0,sP4_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_55,c_3817]) ).
cnf(c_4175,plain,
join(sP3_iProver_def,meet(X0,meet(X1,sP4_iProver_def))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_57,c_4024]) ).
cnf(c_5315,plain,
join(a,meet(X0,sP4_iProver_def)) = a,
inference(superposition,[status(thm)],[c_598,c_312]) ).
cnf(c_6324,plain,
join(a,meet(X0,meet(X1,sP4_iProver_def))) = a,
inference(superposition,[status(thm)],[c_57,c_5315]) ).
cnf(c_8870,plain,
meet(sP6_iProver_def,join(sP5_iProver_def,X0)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_345,c_248]) ).
cnf(c_8916,plain,
meet(sP6_iProver_def,join(X0,sP5_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_235,c_8870]) ).
cnf(c_9019,plain,
meet(sP6_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_1314,c_8916]) ).
cnf(c_23721,plain,
meet(sP3_iProver_def,c) = meet(sP3_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1956,c_861]) ).
cnf(c_23722,plain,
meet(sP1_iProver_def,sP3_iProver_def) = meet(sP3_iProver_def,c),
inference(theory_normalisation,[status(thm)],[c_23721,c_58,c_56,c_57,c_55]) ).
cnf(c_28105,plain,
meet(a,join(sP3_iProver_def,join(sP2_iProver_def,meet(c,sP3_iProver_def)))) = meet(a,join(sP3_iProver_def,meet(c,join(a,b)))),
inference(superposition,[status(thm)],[c_935,c_405]) ).
cnf(c_28300,plain,
meet(a,join(sP2_iProver_def,join(sP3_iProver_def,meet(sP3_iProver_def,c)))) = meet(a,join(sP3_iProver_def,meet(c,join(a,b)))),
inference(theory_normalisation,[status(thm)],[c_28105,c_58,c_56,c_57,c_55]) ).
cnf(c_28301,plain,
meet(a,join(sP2_iProver_def,join(sP3_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)))) = meet(a,join(sP3_iProver_def,sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_28300,c_93,c_94,c_23722]) ).
cnf(c_28302,plain,
meet(a,join(sP2_iProver_def,join(sP3_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)))) = meet(a,join(sP1_iProver_def,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_28301,c_58,c_56,c_57,c_55]) ).
cnf(c_35791,plain,
meet(a,join(sP3_iProver_def,meet(c,join(a,meet(X0,meet(X1,sP4_iProver_def)))))) = meet(a,join(sP3_iProver_def,join(sP2_iProver_def,meet(c,sP3_iProver_def)))),
inference(superposition,[status(thm)],[c_4175,c_405]) ).
cnf(c_35862,plain,
meet(a,join(sP3_iProver_def,meet(c,join(a,meet(X0,meet(X1,sP4_iProver_def)))))) = meet(a,join(sP2_iProver_def,join(sP3_iProver_def,meet(sP3_iProver_def,c)))),
inference(theory_normalisation,[status(thm)],[c_35791,c_58,c_56,c_57,c_55]) ).
cnf(c_35863,plain,
meet(a,join(sP3_iProver_def,meet(c,a))) = meet(a,join(sP1_iProver_def,sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_35862,c_6324,c_23722,c_28302]) ).
cnf(c_35864,plain,
meet(a,join(sP3_iProver_def,meet(a,c))) = meet(a,join(sP1_iProver_def,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_35863,c_58,c_56,c_57,c_55]) ).
cnf(c_35865,plain,
meet(a,join(sP1_iProver_def,sP3_iProver_def)) = meet(a,join(sP3_iProver_def,sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_35864,c_95]) ).
cnf(c_35866,plain,
meet(a,join(sP1_iProver_def,sP3_iProver_def)) = meet(a,join(sP2_iProver_def,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_35865,c_58,c_56,c_57,c_55]) ).
cnf(c_35867,plain,
meet(a,join(sP1_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_35866,c_97,c_210]) ).
cnf(c_35950,plain,
meet(sP6_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = meet(sP5_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_35867,c_304]) ).
cnf(c_35958,plain,
meet(sP6_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = meet(sP4_iProver_def,sP5_iProver_def),
inference(theory_normalisation,[status(thm)],[c_35950,c_58,c_56,c_57,c_55]) ).
cnf(c_35959,plain,
sP4_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_35958,c_722,c_9019]) ).
cnf(c_36034,plain,
sP4_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_100,c_35959]) ).
cnf(c_36035,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_36034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT156-1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 18:02:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running UEQ theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.84/2.20 % SZS status Started for theBenchmark.p
% 11.84/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 11.84/2.20
% 11.84/2.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.84/2.20
% 11.84/2.20 ------ iProver source info
% 11.84/2.20
% 11.84/2.20 git: date: 2024-05-02 19:28:25 +0000
% 11.84/2.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.84/2.20 git: non_committed_changes: false
% 11.84/2.20
% 11.84/2.20 ------ Parsing...successful
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 11.84/2.20
% 11.84/2.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.84/2.20
% 11.84/2.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.84/2.20 ------ Proving...
% 11.84/2.20 ------ Problem Properties
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20 clauses 17
% 11.84/2.20 conjectures 1
% 11.84/2.20 EPR 1
% 11.84/2.20 Horn 17
% 11.84/2.20 unary 17
% 11.84/2.20 binary 0
% 11.84/2.20 lits 17
% 11.84/2.20 lits eq 17
% 11.84/2.20 fd_pure 0
% 11.84/2.20 fd_pseudo 0
% 11.84/2.20 fd_cond 0
% 11.84/2.20 fd_pseudo_cond 0
% 11.84/2.20 AC symbols 2
% 11.84/2.20
% 11.84/2.20 ------ Input Options Time Limit: Unbounded
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20 ------
% 11.84/2.20 Current options:
% 11.84/2.20 ------
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20 ------ Proving...
% 11.84/2.20
% 11.84/2.20
% 11.84/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 11.84/2.20
% 11.84/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.84/2.20
% 11.84/2.20
%------------------------------------------------------------------------------