%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:37:18 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.26s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 9 ( 8 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(W,V) != V,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_exists_a_happy_bird) ).
cnf(c2,axiom,
response(compose(X,Y),W2) = response(X,response(Y,W2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
cnf(c3,plain,
response(compose(a,a),b) = response(a,response(a,b)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
response(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c5,plain,
response(a,response(a,b)) = response(a,c),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
response(a,c) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c7,plain,
response(a,response(a,b)) = b,
inference(transitivity,[status(thm)],[c5,c6]) ).
cnf(c8,plain,
response(compose(a,a),b) = b,
inference(transitivity,[status(thm)],[c3,c7]) ).
cnf(c9,plain,
$false,
inference(resolution,[status(thm)],[c1,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n009.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 21:31:30 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 Command-line arguments: --no-flatten-goal
% 0.06/0.26
% 0.06/0.26 % SZS status Unsatisfiable
% 0.06/0.26
% 0.06/0.26 % SZS output start CNFRefutation
% See solution above
% 0.06/0.26
% 0.06/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------