%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : COL058-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 15 06:17:19 AM UTC 2025
% Result : Unsatisfiable 15.02s 15.21s
% Output : CNFRefutation 15.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
response(response(response(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)))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
file('theBenchmark.p',prove_the_bird_exists) ).
cnf(c1,axiom,
response(response(lark,X),Y) = response(X,response(Y,Y)),
file('theBenchmark.p',lark_exists) ).
cnf(c2,plain,
response(response(response(lark,lark),X),Y) = response(response(X,X),response(Y,Y)),
inference(equational,[status(thm)],[c1]) ).
cnf(c5,plain,
response(X,response(response(response(lark,lark),Y),Y)) = response(response(lark,X),response(Y,Y)),
inference(equational,[status(thm)],[c1,c2]) ).
cnf(c96,plain,
response(response(response(response(lark,lark),X),X),response(response(response(lark,lark),Y),Y)) = response(response(response(lark,lark),response(X,X)),response(Y,Y)),
inference(equational,[status(thm)],[c5]) ).
cnf(g1,plain,
response(response(response(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)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
inference(equational,[status(thm)],[c1,c2,c96]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL058-2 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 04:54:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 15.02/15.21 % SZS status Unsatisfiable
% 15.02/15.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------