%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP146-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 01:25:26 PM UTC 2026
% Result : Unsatisfiable 4.67s 1.13s
% Output : CNFRefutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 13 RR)
% Number of literals : 17 ( 16 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t11,axiom,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t51,plain,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t47,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t3,axiom,
least_upper_bound(b,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t66,plain,
least_upper_bound(c,b) = c,
inference(step,[status(thm)],[t3,t47]) ).
cnf(t63,plain,
least_upper_bound(c,b) = c,
inference(orient,[status(thm)],[t66]) ).
cnf(t2,axiom,
least_upper_bound(a,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t65,plain,
least_upper_bound(c,a) = c,
inference(step,[status(thm)],[t2,t47]) ).
cnf(t61,plain,
least_upper_bound(c,a) = c,
inference(orient,[status(thm)],[t65]) ).
cnf(goal_0,negated_conjecture,
least_upper_bound(least_upper_bound(a,b),c) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
least_upper_bound(a,least_upper_bound(b,c)) != c,
inference(rw,[status(thm)],[goal_0,t51]) ).
cnf(g0_1,plain,
least_upper_bound(a,least_upper_bound(c,b)) != c,
inference(rw,[status(thm)],[g0_0,t47]) ).
cnf(g0_2,plain,
least_upper_bound(a,c) != c,
inference(rw,[status(thm)],[g0_1,t63]) ).
cnf(g0_3,plain,
least_upper_bound(c,a) != c,
inference(rw,[status(thm)],[g0_2,t47]) ).
cnf(g0_4,plain,
c != c,
inference(rw,[status(thm)],[g0_3,t61]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP146-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 13:57:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.67/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.67/1.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------