%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT045-1 : TPTP v9.2.1. Released v2.5.0.
% 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 04:37:25 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.78s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 3 RR)
% Number of literals : 18 ( 17 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(modular_law,axiom,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(invertability1,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(prove_orthomodular_law,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_orthomodular_law) ).
cnf(c_0_6,axiom,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
modular_law ).
cnf(c_0_7,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_8,axiom,
join(complement(X1),X1) = n1,
invertability1 ).
cnf(c_0_9,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_10,plain,
meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X3,X1))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
meet(join(X1,X2),join(X2,X3)) = join(X2,meet(X1,join(X2,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_13,plain,
join(X1,complement(X1)) = n1,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
prove_orthomodular_law ).
cnf(c_0_15,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X3,join(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,plain,
meet(X1,n1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_7]),c_0_13]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT045-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.13/0.33 % Computer : n018.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 : Mon May 4 20:48:32 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 1.35/1.78 % Version : CSE_E---1.7
% 1.35/1.78 % Problem : theBenchmark.p
% 1.35/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.78 % SZS output start CNFRefutation
% See solution above
% 1.35/1.78 % Total time : 1.371s
%------------------------------------------------------------------------------