%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 : Fri Sep 25 01:55:05 PM UTC 2026
% Result : Unsatisfiable 4.47s 1.20s
% Output : CNFRefutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 20 equ; 7 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 : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t13,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t7,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t53,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t7]) ).
cnf(t5,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t3,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t94,plain,
join(X1,complement(X1)) = n1,
inference(step,[status(thm)],[t3,t19]) ).
cnf(t39,plain,
join(X1,complement(X1)) = n1,
inference(orient,[status(thm)],[t94]) ).
cnf(t8,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t8]) ).
cnf(t43,plain,
X1 = meet(X1,n1),
inference(cp,[status(thm)],[t17,t39]) ).
cnf(t91,plain,
meet(X1,n1) = X1,
inference(orient,[status(thm)],[t43]) ).
cnf(goal_0,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(join(a,complement(a)),join(a,b)) != join(a,b),
inference(rw,[status(thm)],[goal_0,t29]) ).
cnf(g0_1,plain,
meet(join(a,b),join(a,complement(a))) != join(a,b),
inference(rw,[status(thm)],[g0_0,t53]) ).
cnf(g0_2,plain,
meet(join(b,a),join(a,complement(a))) != join(a,b),
inference(rw,[status(thm)],[g0_1,t19]) ).
cnf(g0_3,plain,
meet(join(b,a),n1) != join(a,b),
inference(rw,[status(thm)],[g0_2,t39]) ).
cnf(g0_4,plain,
join(b,a) != join(a,b),
inference(rw,[status(thm)],[g0_3,t91]) ).
cnf(g0_5,plain,
join(b,a) != join(b,a),
inference(rw,[status(thm)],[g0_4,t19]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 20:06:05 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.47/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.47/1.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------