%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 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 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(U,f(U)) != response(a,response(b,response(c,f(U)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bird_exists) ).
cnf(c2,axiom,
response(compose(X,Y),W) = response(X,response(Y,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
cnf(c3,plain,
response(compose(compose(a,b),c),f(compose(compose(a,b),c))) = response(compose(a,b),response(c,f(compose(compose(a,b),c)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
response(compose(a,b),response(c,f(compose(compose(a,b),c)))) = response(a,response(b,response(c,f(compose(compose(a,b),c))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c5,plain,
response(compose(compose(a,b),c),f(compose(compose(a,b),c))) = response(a,response(b,response(c,f(compose(compose(a,b),c))))),
inference(transitivity,[status(thm)],[c3,c4]) ).
cnf(c6,plain,
$false,
inference(resolution,[status(thm)],[c1,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:33:25 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.25 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.09/0.25
% 0.09/0.25 % SZS status Unsatisfiable
% 0.09/0.25
% 0.09/0.25 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------