%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT039-2 : TPTP v9.2.1. Released v2.4.0.
% 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 : n018.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 04:37:24 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 10 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rhs,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(lhs,hypothesis,
join(xx,yy) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs) ).
cnf(dist_join,hypothesis,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_0_4,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
rhs ).
cnf(c_0_5,hypothesis,
join(xx,yy) = yy,
lhs ).
cnf(c_0_6,hypothesis,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)),
dist_join ).
cnf(c_0_7,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_8,negated_conjecture,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,hypothesis,
meet(yy,join(xx,X1)) = join(xx,meet(X1,yy)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT039-2 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.13 % 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
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 4 20:49:02 EDT 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % start to proof: theBenchmark
% 0.21/1.62 % Version : CSE_E---1.7
% 0.21/1.62 % Problem : theBenchmark.p
% 0.21/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/1.62 % SZS output start CNFRefutation
% See solution above
% 0.21/1.62 % Total time : 1.274s
%------------------------------------------------------------------------------