%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL050-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.08s 0.23s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(a,Y) != Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_fond_of_another) ).
cnf(c2,hypothesis,
response(compose(X,Y2),W) = response(X,response(Y2,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
cnf(c3,plain,
response(compose(X3,X2),compose(X3,X2)) = response(X3,response(X2,compose(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
response(X3,response(X2,compose(X3,X2))) = response(compose(X3,X2),compose(X3,X2)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
response(mocking_bird,Y2) = response(Y2,Y2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mocking_bird_exists) ).
cnf(c6,plain,
response(mocking_bird,compose(X3,X2)) = response(compose(X3,X2),compose(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
response(compose(X3,X2),compose(X3,X2)) = response(mocking_bird,compose(X3,X2)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
response(X3,response(X2,compose(X3,X2))) = response(mocking_bird,compose(X3,X2)),
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
response(a,response(mocking_bird,compose(a,mocking_bird))) = response(mocking_bird,compose(a,mocking_bird)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
$false,
inference(resolution,[status(thm)],[c1,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n014.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 21:31:15 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.23 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
% 0.08/0.23
% 0.08/0.23 % SZS status Unsatisfiable
% 0.08/0.23
% 0.08/0.23 % SZS output start CNFRefutation
% See solution above
% 0.08/0.24
% 0.08/0.24 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------