%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 0.13s 5.82s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 3 RR)
% Number of literals : 40 ( 39 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 : 66 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t24,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t26,plain,
X1 = join(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t24,t5]) ).
cnf(t36,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t26]) ).
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/sandbox/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(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(t148,plain,
X1 = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t59,t5]) ).
cnf(t149,plain,
X1 = meet(meet(X1,X1),X1),
inference(step,[status(thm)],[t148,t5]) ).
cnf(t69,plain,
meet(meet(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t149]) ).
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(t152,plain,
X1 = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t112,t79]) ).
cnf(t153,plain,
X1 = meet(X1,meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t152,t79]) ).
cnf(t154,plain,
X1 = meet(X1,X1),
inference(step,[status(thm)],[t153,t79]) ).
cnf(t129,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t154]) ).
cnf(t131,plain,
X1 = join(join(X1,X1),X1),
inference(cp,[status(thm)],[t36,t129]) ).
cnf(t143,plain,
join(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t131]) ).
cnf(t146,plain,
X1 = join(meet(join(X1,X1),X1),meet(X1,X1)),
inference(cp,[status(thm)],[t6,t143]) ).
cnf(t130,plain,
X1 = meet(join(X1,X1),X1),
inference(cp,[status(thm)],[t5,t129]) ).
cnf(t138,plain,
meet(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t130]) ).
cnf(t158,plain,
X1 = join(X1,meet(X1,X1)),
inference(step,[status(thm)],[t146,t138]) ).
cnf(t159,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t158,t129]) ).
cnf(t147,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t159]) ).
cnf(goal_0,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
a != a,
inference(rw,[status(thm)],[goal_0,t147]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Wed Sep 23 20:16:31 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/5.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------