TSTP Solution File: LAT168-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Mon Jun 24 10:24:16 EDT 2024
% Result : Unsatisfiable 4.33s 1.18s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 25 equ; 3 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 : 62 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
join(X0,meet(join(X0,X1),meet(join(X0,X2),join(X1,meet(X0,X2))))) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H18_dual) ).
cnf(c_50,negated_conjecture,
meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) != meet(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H58) ).
cnf(c_53,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_54,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_55,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_56,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_147,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_149,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_56,c_53]) ).
cnf(c_180,plain,
meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_184,plain,
join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_57,c_147]) ).
cnf(c_234,plain,
join(X0,meet(join(X0,X1),meet(join(X2,X0),join(X1,meet(X0,X2))))) = meet(join(X0,X1),join(X2,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_328,plain,
meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_58,c_149]) ).
cnf(c_457,plain,
join(X0,meet(X1,meet(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_55,c_184]) ).
cnf(c_577,plain,
meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_54,c_328]) ).
cnf(c_595,plain,
meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(theory_normalisation,[status(thm)],[c_577,c_58,c_56,c_57,c_55]) ).
cnf(c_822,plain,
join(join(X0,X1),meet(X0,X2)) = join(X0,X1),
inference(superposition,[status(thm)],[c_180,c_457]) ).
cnf(c_825,plain,
join(X0,join(X1,meet(X0,X2))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_822,c_58,c_56,c_57,c_55]) ).
cnf(c_2332,plain,
meet(join(X0,meet(X1,X2)),meet(X3,join(X1,X0))) = meet(join(X0,meet(X1,X2)),X3),
inference(superposition,[status(thm)],[c_825,c_595]) ).
cnf(c_2360,plain,
meet(join(X0,X1),meet(X2,join(X1,meet(X0,X3)))) = meet(join(X1,meet(X0,X3)),X2),
inference(theory_normalisation,[status(thm)],[c_2332,c_58,c_56,c_57,c_55]) ).
cnf(c_5441,plain,
join(X0,meet(join(X1,X0),join(X2,meet(X0,X1)))) = meet(join(X0,X2),join(X1,X0)),
inference(demodulation,[status(thm)],[c_234,c_55,c_2360]) ).
cnf(c_5484,plain,
join(X0,meet(join(X1,X0),join(X2,meet(X1,X0)))) = meet(join(X0,X2),join(X1,X0)),
inference(superposition,[status(thm)],[c_55,c_5441]) ).
cnf(c_5640,plain,
meet(a,meet(join(b,c),join(a,b))) != meet(a,join(b,c)),
inference(demodulation,[status(thm)],[c_50,c_5484]) ).
cnf(c_5641,plain,
meet(a,meet(join(a,b),join(b,c))) != meet(a,join(b,c)),
inference(theory_normalisation,[status(thm)],[c_5640,c_58,c_56,c_57,c_55]) ).
cnf(c_5642,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5641,c_180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 22:12:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.33/1.18 % SZS status Started for theBenchmark.p
% 4.33/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/1.18
% 4.33/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.33/1.18
% 4.33/1.18 ------ iProver source info
% 4.33/1.18
% 4.33/1.18 git: date: 2024-06-12 09:56:46 +0000
% 4.33/1.18 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.33/1.18 git: non_committed_changes: false
% 4.33/1.18
% 4.33/1.18 ------ Parsing...successful
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.33/1.18
% 4.33/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.33/1.18
% 4.33/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.33/1.18 ------ Proving...
% 4.33/1.18 ------ Problem Properties
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18 clauses 10
% 4.33/1.18 conjectures 1
% 4.33/1.18 EPR 0
% 4.33/1.18 Horn 10
% 4.33/1.18 unary 10
% 4.33/1.18 binary 0
% 4.33/1.18 lits 10
% 4.33/1.18 lits eq 10
% 4.33/1.18 fd_pure 0
% 4.33/1.18 fd_pseudo 0
% 4.33/1.18 fd_cond 0
% 4.33/1.18 fd_pseudo_cond 0
% 4.33/1.18 AC symbols 2
% 4.33/1.18
% 4.33/1.18 ------ Input Options Time Limit: Unbounded
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18 ------
% 4.33/1.18 Current options:
% 4.33/1.18 ------
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18 ------ Proving...
% 4.33/1.18
% 4.33/1.18
% 4.33/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/1.18
% 4.33/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/1.18
% 4.33/1.18
%------------------------------------------------------------------------------