%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:47:45 AM UTC 2026
% Result : Unsatisfiable 14.21s 2.28s
% Output : CNFRefutation 14.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(invertability1,axiom,
join(complement(X0),X0) = n1 ).
cnf(invertability3,axiom,
complement(complement(X0)) = X0 ).
cnf(modular_law,axiom,
join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)) ).
cnf(prove_orthomodular_law,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b) ).
cnf(absorption1,axiom,
meet(X0,join(X0,X1)) = X0 ).
cnf(commutativity_of_meet,axiom,
meet(X0,X1) = meet(X1,X0) ).
cnf(c2,plain,
join(complement(X0),X0) = n1,
inference(clausification,[status(esa)],[invertability1]) ).
cnf(c4,plain,
complement(complement(X0)) = X0,
inference(clausification,[status(esa)],[invertability3]) ).
cnf(c5,plain,
join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
inference(clausification,[status(esa)],[modular_law]) ).
cnf(c6,plain,
join(a,meet(complement(a),join(a,b))) != join(a,b),
inference(clausification,[status(esa)],[prove_orthomodular_law]) ).
cnf(c9,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1]) ).
cnf(c11,plain,
meet(X0,X1) = meet(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(d0,plain,
join(X0,complement(X0)) = n1,
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
meet(X0,n1) = X0,
inference(superposition,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
meet(n1,X0) = X0,
inference(superposition,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
join(X0,meet(complement(X0),join(X0,X1))) = meet(n1,join(X0,X1)),
inference(superposition,[status(thm)],[d0,c5]) ).
cnf(d4,plain,
join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 19:58:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.21/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 14.21/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------