%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL052-1 : TPTP v9.3.1. Released v1.0.0.
% 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 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 14 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(a,V) != response(odd_bird,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
cnf(c2,axiom,
response(compose(X,Y),W) = response(X,response(Y,W)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
cnf(c3,plain,
response(compose(a,b),common_bird(compose(odd_bird,b))) = response(a,response(b,common_bird(compose(odd_bird,b)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
response(a,response(b,common_bird(compose(odd_bird,b)))) = response(compose(a,b),common_bird(compose(odd_bird,b))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
c = compose(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
compose(a,b) = c,
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
response(compose(a,b),common_bird(X2)) = response(c,common_bird(X2)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
response(c,common_bird(X2)) = response(X2,common_bird(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c9,plain,
response(compose(a,b),common_bird(X2)) = response(X2,common_bird(X2)),
inference(transitivity,[status(thm)],[c7,c8]) ).
cnf(c10,plain,
response(compose(a,b),common_bird(compose(X2,X3))) = response(compose(X2,X3),common_bird(compose(X2,X3))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
response(compose(X3,X2),common_bird(compose(X3,X2))) = response(X3,response(X2,common_bird(compose(X3,X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
response(compose(a,b),common_bird(compose(X3,X2))) = response(X3,response(X2,common_bird(compose(X3,X2)))),
inference(transitivity,[status(thm)],[c10,c11]) ).
cnf(c13,plain,
response(compose(a,b),common_bird(compose(odd_bird,b))) = response(odd_bird,response(b,common_bird(compose(odd_bird,b)))),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
response(a,response(b,common_bird(compose(odd_bird,b)))) = response(odd_bird,response(b,common_bird(compose(odd_bird,b)))),
inference(transitivity,[status(thm)],[c4,c13]) ).
cnf(c15,plain,
$false,
inference(resolution,[status(thm)],[c1,c14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n026.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
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:33:56 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 Command-line arguments: --flatten --complete-subsets
% 0.09/0.26
% 0.09/0.26 % SZS status Unsatisfiable
% 0.09/0.26
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------