%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:25:28 PM UTC 2026
% Result : Unsatisfiable 5.62s 1.24s
% Output : CNFRefutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 15 RR)
% Number of literals : 19 ( 18 equ; 8 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(t1,axiom,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t48,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t71,plain,
greatest_lower_bound(b,a) = a,
inference(step,[status(thm)],[t1,t48]) ).
cnf(t62,plain,
greatest_lower_bound(b,a) = a,
inference(orient,[status(thm)],[t71]) ).
cnf(t10,axiom,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t52,plain,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
cnf(t2,axiom,
greatest_lower_bound(b,c) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t73,plain,
greatest_lower_bound(c,b) = b,
inference(step,[status(thm)],[t2,t48]) ).
cnf(t68,plain,
greatest_lower_bound(c,b) = b,
inference(orient,[status(thm)],[t73]) ).
cnf(goal_0,negated_conjecture,
greatest_lower_bound(a,c) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
greatest_lower_bound(a,c) != greatest_lower_bound(greatest_lower_bound(b,a),c),
inference(rw,[status(thm)],[goal_0,t62]) ).
cnf(g0_1,plain,
greatest_lower_bound(a,c) != greatest_lower_bound(greatest_lower_bound(a,b),c),
inference(rw,[status(thm)],[g0_0,t48]) ).
cnf(g0_2,plain,
greatest_lower_bound(a,c) != greatest_lower_bound(a,greatest_lower_bound(b,c)),
inference(rw,[status(thm)],[g0_1,t52]) ).
cnf(g0_3,plain,
greatest_lower_bound(a,c) != greatest_lower_bound(a,greatest_lower_bound(c,b)),
inference(rw,[status(thm)],[g0_2,t48]) ).
cnf(g0_4,plain,
greatest_lower_bound(a,c) != greatest_lower_bound(greatest_lower_bound(c,b),a),
inference(rw,[status(thm)],[g0_3,t48]) ).
cnf(g0_5,plain,
greatest_lower_bound(b,a) != greatest_lower_bound(greatest_lower_bound(c,b),a),
inference(rw,[status(thm)],[g0_4,t62]) ).
cnf(g0_6,plain,
greatest_lower_bound(greatest_lower_bound(c,b),a) != greatest_lower_bound(greatest_lower_bound(c,b),a),
inference(rw,[status(thm)],[g0_5,t68]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 13:56:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.62/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.62/1.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------