TSTP Solution File: LAT023-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT023-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:34:35 EDT 2024
% Result : Unsatisfiable 62.62s 8.66s
% Output : CNFRefutation 62.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 3 RR)
% Number of literals : 74 ( 73 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
join(meet(join(X0,X1),X2),X1) = join(meet(join(X2,X1),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity_axiom) ).
cnf(c_50,negated_conjecture,
join(meet(a,b),meet(a,c)) != meet(a,join(b,meet(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modularity) ).
cnf(c_51,plain,
meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).
cnf(c_52,plain,
join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).
cnf(c_53,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).
cnf(c_54,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).
cnf(c_55,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).
cnf(c_56,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).
cnf(c_57,plain,
join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).
cnf(c_58,plain,
meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).
cnf(c_68,plain,
join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X2,X0),X1)),
inference(theory_normalisation,[status(thm)],[c_49,c_55,c_53,c_56,c_54]) ).
cnf(c_69,plain,
join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_57,c_55,c_53,c_56,c_54]) ).
cnf(c_70,plain,
meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_58,c_55,c_53,c_56,c_54]) ).
cnf(c_143,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_144,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_150,plain,
meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_155,plain,
meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_53,c_150]) ).
cnf(c_166,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_192,plain,
join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X1,join(X2,X0))),
inference(superposition,[status(thm)],[c_53,c_68]) ).
cnf(c_195,plain,
join(X0,meet(join(X1,X0),X0)) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_211,plain,
join(X0,meet(X0,join(X1,X0))) = join(X0,meet(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_195,c_56,c_54,c_55,c_53]) ).
cnf(c_234,plain,
join(X0,meet(X0,join(X0,X1))) = meet(X0,join(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_235,plain,
join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_53,c_69]) ).
cnf(c_238,plain,
join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2))) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[status(thm)],[c_150,c_69]) ).
cnf(c_245,plain,
join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X2,X1)),
inference(superposition,[status(thm)],[c_54,c_69]) ).
cnf(c_383,plain,
join(X0,meet(X0,join(X0,X1))) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_211]) ).
cnf(c_430,plain,
join(X0,meet(X0,X1)) = meet(X0,join(X0,X1)),
inference(light_normalisation,[status(thm)],[c_234,c_383]) ).
cnf(c_434,plain,
join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
inference(superposition,[status(thm)],[c_54,c_430]) ).
cnf(c_445,plain,
meet(join(X0,meet(X0,X1)),X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[status(thm)],[c_430,c_55]) ).
cnf(c_450,plain,
meet(X0,join(X1,meet(X1,X2))) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[status(thm)],[c_430,c_144]) ).
cnf(c_755,plain,
join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X2,join(X1,X0))),
inference(superposition,[status(thm)],[c_53,c_192]) ).
cnf(c_980,plain,
join(meet(X0,join(X0,X1)),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_70,c_235]) ).
cnf(c_984,plain,
join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_52,c_235]) ).
cnf(c_1018,plain,
join(X0,join(meet(X1,X2),meet(X0,join(X0,X1)))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_980,c_56,c_54,c_55,c_53]) ).
cnf(c_1019,plain,
join(X0,join(meet(X1,X2),join(X0,meet(X0,X1)))) = join(X0,meet(X1,X2)),
inference(light_normalisation,[status(thm)],[c_1018,c_430]) ).
cnf(c_1332,plain,
meet(X0,join(X1,meet(X1,X2))) = meet(X1,meet(join(X1,X2),X0)),
inference(superposition,[status(thm)],[c_445,c_53]) ).
cnf(c_1687,plain,
join(meet(X0,X1),meet(meet(X0,X1),X0)) = meet(X0,meet(meet(X0,X1),join(X0,X1))),
inference(superposition,[status(thm)],[c_450,c_434]) ).
cnf(c_1720,plain,
join(meet(X0,X1),meet(X0,meet(X1,X0))) = meet(X0,meet(X0,meet(X1,join(X0,X1)))),
inference(theory_normalisation,[status(thm)],[c_1687,c_56,c_54,c_55,c_53]) ).
cnf(c_1721,plain,
meet(X0,meet(X0,meet(X1,join(X0,X1)))) = meet(X1,X0),
inference(light_normalisation,[status(thm)],[c_1720,c_155,c_984]) ).
cnf(c_1842,plain,
meet(X0,meet(X1,join(X0,X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_1721,c_150]) ).
cnf(c_2205,plain,
join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X2,join(X1,X0))),
inference(superposition,[status(thm)],[c_54,c_755]) ).
cnf(c_2450,plain,
meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_434,c_1842]) ).
cnf(c_5454,plain,
join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c_54,c_2205]) ).
cnf(c_7716,plain,
join(X0,meet(meet(X1,X2),join(X0,join(X0,X1)))) = join(X0,join(X0,meet(X1,X2))),
inference(superposition,[status(thm)],[c_70,c_5454]) ).
cnf(c_7956,plain,
join(X0,meet(X1,meet(X2,join(X0,join(X0,X1))))) = join(X0,join(X0,meet(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_7716,c_56,c_54,c_55,c_53]) ).
cnf(c_7957,plain,
join(X0,meet(X1,meet(X2,join(X0,X1)))) = join(X0,join(X0,meet(X1,X2))),
inference(light_normalisation,[status(thm)],[c_7956,c_166]) ).
cnf(c_11799,plain,
join(X0,join(join(X0,meet(X0,X1)),meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_1019]) ).
cnf(c_11958,plain,
join(X0,join(X0,join(meet(X0,X1),meet(X1,X2)))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_11799,c_56,c_54,c_55,c_53]) ).
cnf(c_14457,plain,
join(X0,meet(X1,meet(join(X0,X1),X2))) = join(X0,join(X0,meet(X1,X2))),
inference(superposition,[status(thm)],[c_53,c_7957]) ).
cnf(c_15981,plain,
join(X0,join(meet(X0,X1),meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_11958,c_166]) ).
cnf(c_17431,plain,
join(X0,join(meet(X1,X2),meet(X0,X1))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_15981]) ).
cnf(c_17855,plain,
join(X0,join(meet(X1,X2),meet(X1,X0))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_53,c_17431]) ).
cnf(c_18437,plain,
join(join(X0,X1),meet(X2,join(X0,X1))) = join(join(X0,X1),meet(X2,X1)),
inference(superposition,[status(thm)],[c_245,c_17855]) ).
cnf(c_18477,plain,
join(X0,join(meet(X1,X2),meet(X2,X0))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_2450,c_17855]) ).
cnf(c_18598,plain,
join(meet(X0,X1),join(X2,meet(X0,X2))) = join(X2,meet(X0,X1)),
inference(superposition,[status(thm)],[c_17855,c_143]) ).
cnf(c_18611,plain,
join(X0,join(X1,meet(X2,join(X0,X1)))) = join(X0,join(X1,meet(X2,X1))),
inference(theory_normalisation,[status(thm)],[c_18437,c_56,c_54,c_55,c_53]) ).
cnf(c_20252,plain,
join(join(X0,X1),meet(X2,join(X0,X1))) = join(join(X0,X1),meet(X0,X2)),
inference(superposition,[status(thm)],[c_235,c_18477]) ).
cnf(c_20433,plain,
join(X0,join(X1,meet(X2,join(X0,X1)))) = join(X0,join(X1,meet(X0,X2))),
inference(theory_normalisation,[status(thm)],[c_20252,c_56,c_54,c_55,c_53]) ).
cnf(c_20434,plain,
join(X0,join(X1,meet(X0,X2))) = join(X0,join(X1,meet(X2,X1))),
inference(light_normalisation,[status(thm)],[c_20433,c_18611]) ).
cnf(c_24435,plain,
join(X0,meet(X1,meet(join(X1,X0),X2))) = join(X0,join(X0,meet(X1,X2))),
inference(superposition,[status(thm)],[c_54,c_14457]) ).
cnf(c_25288,plain,
join(X0,join(meet(X0,X1),X2)) = join(X0,join(X2,meet(X1,X2))),
inference(superposition,[status(thm)],[c_54,c_20434]) ).
cnf(c_25961,plain,
join(X0,join(meet(X1,X0),X2)) = join(X0,join(X2,meet(X1,X2))),
inference(superposition,[status(thm)],[c_53,c_25288]) ).
cnf(c_28903,plain,
join(meet(X0,X1),join(meet(X0,X1),X2)) = join(meet(X0,X1),join(X2,meet(X0,X2))),
inference(superposition,[status(thm)],[c_150,c_25961]) ).
cnf(c_29233,plain,
join(meet(X0,X1),join(meet(X0,X1),X2)) = join(X2,meet(X0,X1)),
inference(light_normalisation,[status(thm)],[c_28903,c_18598]) ).
cnf(c_51359,plain,
join(meet(X0,X1),meet(X2,join(X0,meet(X0,X1)))) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[status(thm)],[c_238,c_2205]) ).
cnf(c_53357,plain,
join(X0,join(X0,X1)) = join(X1,X0),
inference(superposition,[status(thm)],[c_51,c_29233]) ).
cnf(c_53561,plain,
join(X0,meet(X1,meet(join(X1,X0),X2))) = join(meet(X1,X2),X0),
inference(demodulation,[status(thm)],[c_24435,c_53357]) ).
cnf(c_53584,plain,
join(X0,meet(X1,join(X2,meet(X2,X0)))) = join(meet(X2,X1),X0),
inference(superposition,[status(thm)],[c_1332,c_53561]) ).
cnf(c_71324,plain,
join(meet(join(X0,X0),X1),meet(X2,join(meet(X0,X1),X0))) = join(meet(X0,X2),meet(join(X0,X0),X1)),
inference(superposition,[status(thm)],[c_53561,c_53584]) ).
cnf(c_71697,plain,
join(meet(join(X0,X0),X1),meet(X2,join(X0,meet(X0,X1)))) = join(meet(X0,X2),meet(join(X0,X0),X1)),
inference(theory_normalisation,[status(thm)],[c_71324,c_56,c_54,c_55,c_53]) ).
cnf(c_71698,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X2),X1)),
inference(light_normalisation,[status(thm)],[c_71697,c_52,c_51359]) ).
cnf(c_111541,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(superposition,[status(thm)],[c_54,c_71698]) ).
cnf(c_112379,plain,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c)),
inference(demodulation,[status(thm)],[c_50,c_111541]) ).
cnf(c_112380,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_112379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT023-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 18:09:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.46 Running UEQ theorem proving
% 0.18/0.46 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
% 62.62/8.66 % SZS status Started for theBenchmark.p
% 62.62/8.66 % SZS status Unsatisfiable for theBenchmark.p
% 62.62/8.66
% 62.62/8.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 62.62/8.66
% 62.62/8.66 ------ iProver source info
% 62.62/8.66
% 62.62/8.66 git: date: 2024-05-02 19:28:25 +0000
% 62.62/8.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 62.62/8.66 git: non_committed_changes: false
% 62.62/8.66
% 62.62/8.66 ------ Parsing...successful
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 62.62/8.66
% 62.62/8.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.62/8.66
% 62.62/8.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 62.62/8.66 ------ Proving...
% 62.62/8.66 ------ Problem Properties
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66 clauses 10
% 62.62/8.66 conjectures 1
% 62.62/8.66 EPR 0
% 62.62/8.66 Horn 10
% 62.62/8.66 unary 10
% 62.62/8.66 binary 0
% 62.62/8.66 lits 10
% 62.62/8.66 lits eq 10
% 62.62/8.66 fd_pure 0
% 62.62/8.66 fd_pseudo 0
% 62.62/8.66 fd_cond 0
% 62.62/8.66 fd_pseudo_cond 0
% 62.62/8.66 AC symbols 2
% 62.62/8.66
% 62.62/8.66 ------ Input Options Time Limit: Unbounded
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66 ------
% 62.62/8.66 Current options:
% 62.62/8.66 ------
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66 ------ Proving...
% 62.62/8.66
% 62.62/8.66
% 62.62/8.66 % SZS status Unsatisfiable for theBenchmark.p
% 62.62/8.66
% 62.62/8.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.62/8.66
% 62.62/8.67
%------------------------------------------------------------------------------