%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.21s 0.26s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 19 RR)
% Number of literals : 29 ( 28 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_bird_exists) ).
cnf(c2,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).
cnf(c3,plain,
response(response(lark,lark),X) = response(lark,response(X,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
response(response(response(lark,lark),X),X3) = response(response(lark,response(X,X)),X3),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
response(response(lark,response(X3,X3)),X) = response(response(X3,X3),response(X,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
response(response(response(lark,lark),X3),X) = response(response(X3,X3),response(X,X)),
inference(transitivity,[status(thm)],[c4,c5]) ).
cnf(c7,plain,
response(response(response(lark,lark),X),X) = response(response(X,X),response(X,X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
response(X3,response(response(response(lark,lark),X),X)) = response(X3,response(response(X,X),response(X,X))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
response(response(lark,X3),response(X,X)) = response(X3,response(response(X,X),response(X,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
response(X3,response(response(X,X),response(X,X))) = response(response(lark,X3),response(X,X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
response(X3,response(response(response(lark,lark),X),X)) = response(response(lark,X3),response(X,X)),
inference(transitivity,[status(thm)],[c8,c10]) ).
cnf(c12,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c14,plain,
response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,plain,
response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c16,plain,
response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
response(response(lark,response(lark,lark)),response(lark,response(lark,lark))) = response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c19,plain,
response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) = response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
response(response(lark,lark),response(lark,response(lark,lark))) = response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c23,plain,
response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,lark),response(lark,response(lark,lark))),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(transitivity,[status(thm)],[c21,c24]) ).
cnf(c26,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(transitivity,[status(thm)],[c17,c25]) ).
cnf(c27,plain,
response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(transitivity,[status(thm)],[c14,c26]) ).
cnf(c28,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(transitivity,[status(thm)],[c12,c27]) ).
cnf(c29,plain,
$false,
inference(resolution,[status(thm)],[c1,c28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL058-3 : 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 : n006.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 21:31:09 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.26 Command-line arguments: --no-flatten-goal
% 0.21/0.26
% 0.21/0.26 % SZS status Unsatisfiable
% 0.21/0.26
% 0.21/0.26 % SZS output start CNFRefutation
% See solution above
% 0.21/0.28
% 0.21/0.28 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------