%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT088-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 : Tue May 5 04:37:30 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(wal_absorbtion_1,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(prove_normal_axioms_1,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_1) ).
cnf(c_0_4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
wal_absorbtion_4 ).
cnf(c_0_5,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
wal_absorbtion_5 ).
cnf(c_0_6,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
wal_absorbtion_1 ).
cnf(c_0_8,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
meet(a,a) != a,
prove_normal_axioms_1 ).
cnf(c_0_10,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_4]),c_0_4]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LAT088-1 : TPTP v9.2.1. Released v2.6.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 20:50:16 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------