%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 01:55:30 PM UTC 2026
% Result : Unsatisfiable 5.04s 11.34s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 3 RR)
% Number of literals : 30 ( 29 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t0,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t28,plain,
X1 = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t5,t24]) ).
cnf(t42,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t2,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t48,plain,
meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t11]) ).
cnf(t109,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t48]) ).
cnf(t3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t47,plain,
meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t6]) ).
cnf(t58,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t47]) ).
cnf(t59,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(cp,[status(thm)],[t58,t5]) ).
cnf(t138,plain,
X1 = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t59,t5]) ).
cnf(t139,plain,
X1 = meet(meet(X1,X1),X1),
inference(step,[status(thm)],[t138,t5]) ).
cnf(t69,plain,
meet(meet(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t139]) ).
cnf(t73,plain,
X1 = join(X1,meet(X1,join(meet(X1,X1),X1))),
inference(cp,[status(thm)],[t6,t69]) ).
cnf(t74,plain,
join(X1,meet(X1,join(meet(X1,X1),X1))) = X1,
inference(orient,[status(thm)],[t73]) ).
cnf(t75,plain,
X1 = meet(meet(X1,join(X2,X1)),X1),
inference(cp,[status(thm)],[t5,t74]) ).
cnf(t79,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t75]) ).
cnf(t112,plain,
meet(meet(X1,join(X2,X1)),X1) = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(cp,[status(thm)],[t109,t79]) ).
cnf(t142,plain,
X1 = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t112,t79]) ).
cnf(t143,plain,
X1 = meet(X1,meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t142,t79]) ).
cnf(t144,plain,
X1 = meet(X1,X1),
inference(step,[status(thm)],[t143,t79]) ).
cnf(t129,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t144]) ).
cnf(goal_0,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
a != a,
inference(rw,[status(thm)],[goal_0,t129]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.58 % Computer : n016.cluster.edu
% 0.09/10.58 % Model : x86_64 x86_64
% 0.09/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.58 % Memory : 8046.5625MB
% 0.09/10.58 % OS : Linux 6.8.0-71-generic
% 0.09/10.59 % CPULimit : 300
% 0.09/10.59 % WCLimit : 300
% 0.09/10.59 % DateTime : Wed Sep 23 20:17:39 UTC 2026
% 0.09/10.59 % CPUTime :
% 0.09/10.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.04/11.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/11.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------