%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL051-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.24s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 12 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(X,X) != X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_bird_exists) ).
cnf(c2,axiom,
response(mocking_bird,Y) = response(Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mocking_bird_exists) ).
cnf(c3,plain,
response(mocking_bird,response(mocking_bird,compose(mocking_bird,mocking_bird))) = response(response(mocking_bird,compose(mocking_bird,mocking_bird)),response(mocking_bird,compose(mocking_bird,mocking_bird))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
response(response(mocking_bird,compose(mocking_bird,mocking_bird)),response(mocking_bird,compose(mocking_bird,mocking_bird))) = response(mocking_bird,response(mocking_bird,compose(mocking_bird,mocking_bird))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,hypothesis,
response(compose(X2,Y2),W) = response(X2,response(Y2,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
cnf(c6,plain,
response(compose(X3,X2),compose(X3,X2)) = response(X3,response(X2,compose(X3,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
response(X3,response(X2,compose(X3,X2))) = response(compose(X3,X2),compose(X3,X2)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
response(mocking_bird,compose(X3,X2)) = response(compose(X3,X2),compose(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c9,plain,
response(compose(X3,X2),compose(X3,X2)) = response(mocking_bird,compose(X3,X2)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
response(X3,response(X2,compose(X3,X2))) = response(mocking_bird,compose(X3,X2)),
inference(transitivity,[status(thm)],[c7,c9]) ).
cnf(c11,plain,
response(mocking_bird,response(mocking_bird,compose(mocking_bird,mocking_bird))) = response(mocking_bird,compose(mocking_bird,mocking_bird)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
response(response(mocking_bird,compose(mocking_bird,mocking_bird)),response(mocking_bird,compose(mocking_bird,mocking_bird))) = response(mocking_bird,compose(mocking_bird,mocking_bird)),
inference(transitivity,[status(thm)],[c4,c11]) ).
cnf(c13,plain,
$false,
inference(resolution,[status(thm)],[c1,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL051-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:33:56 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.24 Command-line arguments: --flatten --complete-subsets
% 0.08/0.24
% 0.08/0.24 % SZS status Unsatisfiable
% 0.08/0.24
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25
% 0.08/0.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------