%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.11s 0.24s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 21 RR)
% Number of literals : 85 ( 84 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 44 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_not_egocentric) ).
cnf(c2,axiom,
response(response(kestrel,X1),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kestrel_exists) ).
cnf(c3,plain,
response(response(kestrel,X3),X) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = response(response(kestrel,X3),X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
response(l3,l3) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
l3 = response(l3,l3),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
response(l3,X) = response(response(l3,l3),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c9,plain,
l3 = response(l2,lark),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
response(l3,X) = response(response(l2,lark),X),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
response(response(l3,X3),X) = response(response(response(l2,lark),X3),X),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c13,plain,
l2 = response(lark,lark),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
response(l2,lark) = response(response(lark,lark),lark),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
response(response(l2,lark),X) = response(response(response(lark,lark),lark),X),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
response(response(response(l2,lark),X3),X) = response(response(response(response(lark,lark),lark),X3),X),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,axiom,
response(response(response(response(lark,lark),lark),X1_2),X2_2) = response(response(response(X1_2,X1_2),response(X1_2,X1_2)),response(x2,x2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma2) ).
cnf(c18,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(response(X3,X3),response(X3,X3)),response(x2,x2)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(response(X3,X3),response(X3,X3)),response(x2,x2)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c20,plain,
response(response(response(X3,X3),response(X3,X3)),response(x2,x2)) = response(response(response(response(lark,lark),lark),X3),X),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
response(response(lark,lark),lark) = response(l2,lark),
inference(congruence,[status(thm)],[c12]) ).
cnf(c22,plain,
response(response(response(lark,lark),lark),X) = response(response(l2,lark),X),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(response(l2,lark),X3),X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
response(response(l2,lark),X) = response(l3,X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c25,plain,
response(response(response(l2,lark),X3),X) = response(response(l3,X3),X),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(l3,X3),X),
inference(transitivity,[status(thm)],[c23,c25]) ).
cnf(c27,plain,
response(response(response(X3,X3),response(X3,X3)),response(x2,x2)) = response(response(l3,X3),X),
inference(transitivity,[status(thm)],[c20,c26]) ).
cnf(c28,plain,
response(response(response(response(lark,lark),lark),X4),X) = response(response(l3,X4),X3),
inference(transitivity,[status(thm)],[c18,c27]) ).
cnf(c29,plain,
response(response(response(l2,lark),X4),X) = response(response(l3,X4),X3),
inference(transitivity,[status(thm)],[c16,c28]) ).
cnf(c30,plain,
response(response(l3,X4),X) = response(response(l3,X4),X3),
inference(transitivity,[status(thm)],[c11,c29]) ).
cnf(c31,plain,
response(response(l3,l3),X) = response(response(l3,l3),X3),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
response(response(l3,l3),X) = response(l3,X),
inference(congruence,[status(thm)],[c5]) ).
cnf(c33,plain,
response(response(l3,l3),X) = response(l3,X3),
inference(transitivity,[status(thm)],[c31,c32]) ).
cnf(c34,plain,
response(l3,X) = response(l3,X3),
inference(transitivity,[status(thm)],[c7,c33]) ).
cnf(c35,plain,
response(l3,X) = response(l3,l3),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
response(l3,X) = l3,
inference(transitivity,[status(thm)],[c35,c5]) ).
cnf(c37,plain,
l3 = response(l3,X),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
response(l3,response(l2,kestrel)) = l3,
inference(substitution,[status(thm)],[c36]) ).
cnf(c39,plain,
l3 = response(l3,response(l2,kestrel)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
response(l3,X) = response(response(l3,response(l2,kestrel)),X),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,axiom,
response(response(response(lark,lark),X1_2),X2_2) = response(response(X1_2,X1_2),response(X2_2,X2_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma1) ).
cnf(c42,plain,
response(response(response(lark,lark),X3),X) = response(response(X3,X3),response(X,X)),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
response(response(X3,X3),response(X,X)) = response(response(response(lark,lark),X3),X),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
response(response(lark,lark),X) = response(l2,X),
inference(congruence,[status(thm)],[c12]) ).
cnf(c45,plain,
response(response(response(lark,lark),X3),X) = response(response(l2,X3),X),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
response(response(X3,X3),response(X,X)) = response(response(l2,X3),X),
inference(transitivity,[status(thm)],[c43,c45]) ).
cnf(c47,plain,
response(response(response(X,X),response(X,X)),response(x2,x2)) = response(response(l2,response(X,X)),x2),
inference(substitution,[status(thm)],[c46]) ).
cnf(c48,plain,
response(response(l2,response(X,X)),x2) = response(response(response(X,X),response(X,X)),response(x2,x2)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(response(X3,X3),response(X3,X3)),response(x2,x2)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c50,plain,
response(response(response(X3,X3),response(X3,X3)),response(x2,x2)) = response(response(response(response(lark,lark),lark),X3),X),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
response(response(lark,lark),lark) = response(l2,lark),
inference(congruence,[status(thm)],[c12]) ).
cnf(c52,plain,
response(response(response(lark,lark),lark),X) = response(response(l2,lark),X),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(response(l2,lark),X3),X),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
response(response(l2,lark),X) = response(l3,X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c55,plain,
response(response(response(l2,lark),X3),X) = response(response(l3,X3),X),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
response(response(response(response(lark,lark),lark),X3),X) = response(response(l3,X3),X),
inference(transitivity,[status(thm)],[c53,c55]) ).
cnf(c57,plain,
response(response(response(X3,X3),response(X3,X3)),response(x2,x2)) = response(response(l3,X3),X),
inference(transitivity,[status(thm)],[c50,c56]) ).
cnf(c58,plain,
response(response(l2,response(X3,X3)),x2) = response(response(l3,X3),X),
inference(transitivity,[status(thm)],[c48,c57]) ).
cnf(c59,plain,
response(response(l2,response(response(l2,kestrel),response(l2,kestrel))),x2) = response(response(l3,response(l2,kestrel)),X),
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
response(response(l3,response(l2,kestrel)),X) = response(response(l2,response(response(l2,kestrel),response(l2,kestrel))),x2),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
response(response(kestrel,kestrel),response(X,X)) = response(response(l2,kestrel),X),
inference(substitution,[status(thm)],[c46]) ).
cnf(c62,plain,
response(response(l2,kestrel),X) = response(response(kestrel,kestrel),response(X,X)),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
response(response(kestrel,kestrel),response(X,X)) = kestrel,
inference(substitution,[status(thm)],[c2]) ).
cnf(c64,plain,
response(response(l2,kestrel),X) = kestrel,
inference(transitivity,[status(thm)],[c62,c63]) ).
cnf(c65,plain,
response(response(l2,kestrel),response(l2,kestrel)) = kestrel,
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
response(l2,response(response(l2,kestrel),response(l2,kestrel))) = response(l2,kestrel),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
response(response(l2,response(response(l2,kestrel),response(l2,kestrel))),x2) = response(response(l2,kestrel),x2),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
response(response(l2,kestrel),x2) = kestrel,
inference(substitution,[status(thm)],[c64]) ).
cnf(c69,plain,
response(response(l2,response(response(l2,kestrel),response(l2,kestrel))),x2) = kestrel,
inference(transitivity,[status(thm)],[c67,c68]) ).
cnf(c70,plain,
response(response(l3,response(l2,kestrel)),X) = kestrel,
inference(transitivity,[status(thm)],[c60,c69]) ).
cnf(c71,plain,
response(l3,X) = kestrel,
inference(transitivity,[status(thm)],[c40,c70]) ).
cnf(c72,plain,
l3 = kestrel,
inference(transitivity,[status(thm)],[c37,c71]) ).
cnf(c73,plain,
kestrel = l3,
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
response(kestrel,X) = response(l3,X),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
response(response(kestrel,X3),X) = response(response(l3,X3),X),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
response(response(l3,X3),X) = response(response(l3,X4),X),
inference(congruence,[status(thm)],[c34]) ).
cnf(c77,plain,
response(l3,X) = response(kestrel,X),
inference(congruence,[status(thm)],[c72]) ).
cnf(c78,plain,
response(response(l3,X3),X) = response(response(kestrel,X3),X),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
response(response(kestrel,X3),X) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c80,plain,
response(response(l3,X3),X) = X3,
inference(transitivity,[status(thm)],[c78,c79]) ).
cnf(c81,plain,
response(response(l3,X3),X) = X4,
inference(transitivity,[status(thm)],[c76,c80]) ).
cnf(c82,plain,
response(response(kestrel,X3),X) = X4,
inference(transitivity,[status(thm)],[c75,c81]) ).
cnf(c83,plain,
X = X3,
inference(transitivity,[status(thm)],[c4,c82]) ).
cnf(c84,plain,
response(l2,l2) = l2,
inference(substitution,[status(thm)],[c83]) ).
cnf(c85,plain,
$false,
inference(resolution,[status(thm)],[c1,c84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.16 % Computer : n010.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 21:31:47 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.24 Command-line arguments: --no-flatten-goal
% 0.11/0.24
% 0.11/0.24 % SZS status Unsatisfiable
% 0.11/0.24
% 0.11/0.24 % SZS output start CNFRefutation
% See solution above
% 0.11/0.27
% 0.11/0.27 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------