%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 01:55:04 PM UTC 2026
% Result : Unsatisfiable 3.34s 0.85s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 13 equ; 6 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,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)],[t3]) ).
cnf(t1,axiom,
join(xx,yy) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t55,plain,
join(yy,xx) = yy,
inference(step,[status(thm)],[t1,t19]) ).
cnf(t51,plain,
join(yy,xx) = yy,
inference(orient,[status(thm)],[t55]) ).
cnf(t10,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
cnf(goal_0,negated_conjecture,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(yy,join(xx,zz)) != meet(yy,join(zz,xx)),
inference(rw,[status(thm)],[goal_0,t19]) ).
cnf(g0_1,plain,
meet(yy,join(xx,zz)) != meet(join(yy,xx),join(zz,xx)),
inference(rw,[status(thm)],[g0_0,t51]) ).
cnf(g0_2,plain,
meet(yy,join(xx,zz)) != meet(join(xx,yy),join(zz,xx)),
inference(rw,[status(thm)],[g0_1,t19]) ).
cnf(g0_3,plain,
meet(yy,join(xx,zz)) != meet(join(xx,yy),join(xx,zz)),
inference(rw,[status(thm)],[g0_2,t19]) ).
cnf(g0_4,plain,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(rw,[status(thm)],[g0_3,t29]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 20:05:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.34/0.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/0.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------