%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP139-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 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 : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),c) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb1b) ).
cnf(c2,axiom,
greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).
cnf(c3,plain,
greatest_lower_bound(a,greatest_lower_bound(b,c)) = greatest_lower_bound(greatest_lower_bound(a,b),c),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
greatest_lower_bound(greatest_lower_bound(a,b),c) = greatest_lower_bound(a,greatest_lower_bound(b,c)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
greatest_lower_bound(b,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
greatest_lower_bound(a,greatest_lower_bound(b,c)) = greatest_lower_bound(a,c),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
greatest_lower_bound(a,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c8,plain,
greatest_lower_bound(a,greatest_lower_bound(b,c)) = c,
inference(transitivity,[status(thm)],[c6,c7]) ).
cnf(c9,plain,
greatest_lower_bound(greatest_lower_bound(a,b),c) = c,
inference(transitivity,[status(thm)],[c4,c8]) ).
cnf(c10,plain,
$false,
inference(resolution,[status(thm)],[c1,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP139-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:35:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 Command-line arguments: --flatten-regeneralise
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable
% 0.18/0.47
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------