%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP137-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Tue Sep 29 10:09:25 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_antisymb) ).
cnf(c2,axiom,
greatest_lower_bound(a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c3,plain,
b = greatest_lower_bound(a,b),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c4,axiom,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c5,plain,
b = a,
inference(transitivity,[status(thm)],[c3,c4]) ).
cnf(c6,plain,
a = b,
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
$false,
inference(resolution,[status(thm)],[c1,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP137-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n018.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 27 09:34:27 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.34 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42 Command-line arguments: --no-flatten-goal
% 0.11/0.42
% 0.11/0.42 % SZS status Unsatisfiable
% 0.11/0.42
% 0.11/0.42 % SZS output start CNFRefutation
% See solution above
% 0.11/0.42
% 0.11/0.42 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------