%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : COL059-1 : 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 06:17:20 AM UTC 2025
% Result : Unsatisfiable 0.63s 0.78s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 19 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
response(l2,l2) != l2,
file('theBenchmark.p',lark_not_egocentric) ).
cnf(c1,axiom,
response(lark,lark) = l2,
file('theBenchmark.p',l2_definition) ).
cnf(c2,plain,
l2 = response(lark,lark),
inference(equational,[status(thm)],[c1]) ).
cnf(c3,axiom,
response(l2,lark) = l3,
file('theBenchmark.p',l3_definition) ).
cnf(c4,plain,
response(response(lark,lark),lark) = l3,
inference(equational,[status(thm)],[c2,c3]) ).
cnf(c5,axiom,
response(l3,l3) = l3,
file('theBenchmark.p',prove_l3_not_egocentric) ).
cnf(c6,axiom,
response(response(kestrel,X),Y) = X,
file('theBenchmark.p',kestrel_exists) ).
cnf(c7,axiom,
response(response(lark,X),Y) = response(X,response(Y,Y)),
file('theBenchmark.p',lark_exists) ).
cnf(c8,plain,
response(lark,response(lark,lark)) = l3,
inference(equational,[status(thm)],[c4,c7]) ).
cnf(c11,plain,
response(response(lark,X),response(kestrel,Y)) = response(X,Y),
inference(equational,[status(thm)],[c6,c7]) ).
cnf(c12,plain,
response(l3,response(kestrel,X)) = response(response(lark,lark),X),
inference(equational,[status(thm)],[c8,c11]) ).
cnf(c15,axiom,
response(response(response(lark,lark),X),Y) = response(response(X,X),response(Y,Y)),
file('theBenchmark.p',lark_lemma1) ).
cnf(c17,plain,
response(response(lark,lark),response(X,X)) = response(l3,X),
inference(equational,[status(thm)],[c4,c15]) ).
cnf(c18,plain,
response(lark,l3) = l3,
inference(equational,[status(thm)],[c5,c7,c17]) ).
cnf(c20,plain,
response(response(lark,lark),X) = response(l3,X),
inference(equational,[status(thm)],[c11,c12,c18]) ).
cnf(c21,plain,
response(l3,lark) = l3,
inference(equational,[status(thm)],[c4,c20]) ).
cnf(c22,plain,
response(l3,X) = response(lark,X),
inference(equational,[status(thm)],[c11,c12,c20]) ).
cnf(c23,plain,
response(lark,lark) = l3,
inference(equational,[status(thm)],[c21,c22]) ).
cnf(g1,plain,
response(l2,l2) = l2,
inference(equational,[status(thm)],[c2,c17,c21,c23]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL059-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 14 04:54:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.63/0.78 % SZS status Unsatisfiable
% 0.63/0.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------