%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 11:50:45 AM UTC 2026
% Result : Unsatisfiable 0.59s 0.52s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 40 RR)
% Number of literals : 85 ( 84 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 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 : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_09) ).
cnf(c2,axiom,
' = =>'('+'(A,B),C) = ' = =>'(A,' = =>'(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(c3,plain,
' = =>'('+'(a,' = =>'(a,b)),c) = ' = =>'(a,' = =>'(' = =>'(a,b),c)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) = '+'('+'(a,' = =>'(a,b)),' = =>'(a,' = =>'(' = =>'(a,b),c))),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,axiom,
'+'(A2,' = =>'(A2,B2)) = '+'(B2,' = =>'(B2,A2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(c6,plain,
'+'(a,' = =>'(a,b)) = '+'(b,' = =>'(b,a)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'(a,' = =>'(' = =>'(a,b),c))) = '+'('+'(b,' = =>'(b,a)),' = =>'(a,' = =>'(' = =>'(a,b),c))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
'+'('+'(A2,B2),C2) = '+'(A2,'+'(B2,C2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(c9,plain,
'+'('+'(b,' = =>'(b,a)),' = =>'(a,' = =>'(' = =>'(a,b),c))) = '+'(b,'+'(' = =>'(b,a),' = =>'(a,' = =>'(' = =>'(a,b),c)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
' = =>'('+'(X2,' = =>'(X2,X3)),X) = ' = =>'(X2,' = =>'(' = =>'(X2,X3),X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
' = =>'(X2,' = =>'(' = =>'(X2,X3),X)) = ' = =>'('+'(X2,' = =>'(X2,X3)),X),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
'+'(X2,' = =>'(X2,X)) = '+'(X,' = =>'(X,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c13,plain,
'+'(X,' = =>'(X,X2)) = '+'(X2,' = =>'(X2,X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
' = =>'('+'(X2,' = =>'(X2,X3)),X) = ' = =>'('+'(X3,' = =>'(X3,X2)),X),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
' = =>'('+'(X3,' = =>'(X3,X2)),X) = ' = =>'(X3,' = =>'(' = =>'(X3,X2),X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c16,plain,
' = =>'('+'(X2,' = =>'(X2,X3)),X) = ' = =>'(X3,' = =>'(' = =>'(X3,X2),X)),
inference(transitivity,[status(thm)],[c14,c15]) ).
cnf(c17,plain,
' = =>'(X2,' = =>'(' = =>'(X2,X3),X)) = ' = =>'(X3,' = =>'(' = =>'(X3,X2),X)),
inference(transitivity,[status(thm)],[c11,c16]) ).
cnf(c18,plain,
' = =>'(b,' = =>'(' = =>'(b,a),c)) = ' = =>'(a,' = =>'(' = =>'(a,b),c)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
' = =>'(a,' = =>'(' = =>'(a,b),c)) = ' = =>'(b,' = =>'(' = =>'(b,a),c)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
'+'(' = =>'(b,a),' = =>'(a,' = =>'(' = =>'(a,b),c))) = '+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
'+'(b,'+'(' = =>'(b,a),' = =>'(a,' = =>'(' = =>'(a,b),c)))) = '+'(b,'+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c)))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
'+'(X,' = =>'(X,' = =>'(X3,X2))) = '+'(' = =>'(X3,X2),' = =>'(' = =>'(X3,X2),X)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c23,plain,
'+'(' = =>'(X3,X2),' = =>'(' = =>'(X3,X2),X)) = '+'(X,' = =>'(X,' = =>'(X3,X2))),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
' = =>'('+'(X2,X3),X) = ' = =>'(X2,' = =>'(X3,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c25,plain,
' = =>'(X2,' = =>'(X3,X)) = ' = =>'('+'(X2,X3),X),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,axiom,
'+'(A2,B2) = '+'(B2,A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(c27,plain,
'+'(X2,X) = '+'(X,X2),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
'+'(X,X2) = '+'(X2,X),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
' = =>'('+'(X2,X3),X) = ' = =>'('+'(X3,X2),X),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
' = =>'('+'(X3,X2),X) = ' = =>'(X3,' = =>'(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
' = =>'('+'(X2,X3),X) = ' = =>'(X3,' = =>'(X2,X)),
inference(transitivity,[status(thm)],[c29,c30]) ).
cnf(c32,plain,
' = =>'(X2,' = =>'(X3,X)) = ' = =>'(X3,' = =>'(X2,X)),
inference(transitivity,[status(thm)],[c25,c31]) ).
cnf(c33,plain,
' = =>'(X3,' = =>'(X,X2)) = ' = =>'(X,' = =>'(X3,X2)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
' = =>'(X,' = =>'(X3,X2)) = ' = =>'(X3,' = =>'(X,X2)),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
'+'(X,' = =>'(X,' = =>'(X3,X2))) = '+'(X,' = =>'(X3,' = =>'(X,X2))),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
'+'(' = =>'(X3,X2),' = =>'(' = =>'(X3,X2),X)) = '+'(X,' = =>'(X3,' = =>'(X,X2))),
inference(transitivity,[status(thm)],[c23,c35]) ).
cnf(c37,plain,
'+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a))) = '+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c))),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
'+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c))) = '+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a))),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
'+'(b,'+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c)))) = '+'(b,'+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a)))),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
' = =>'(b,' = =>'(' = =>'(b,c),a)) = ' = =>'(' = =>'(b,c),' = =>'(b,a)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c41,plain,
' = =>'(' = =>'(b,c),' = =>'(b,a)) = ' = =>'(b,' = =>'(' = =>'(b,c),a)),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
'+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a))) = '+'(' = =>'(b,c),' = =>'(b,' = =>'(' = =>'(b,c),a))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
'+'(b,'+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a)))) = '+'(b,'+'(' = =>'(b,c),' = =>'(b,' = =>'(' = =>'(b,c),a)))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
'+'('+'(X,' = =>'(X,X3)),X2) = '+'(X,'+'(' = =>'(X,X3),X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c45,plain,
'+'(X,'+'(' = =>'(X,X3),X2)) = '+'('+'(X,' = =>'(X,X3)),X2),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
'+'(X2,' = =>'(X2,X)) = '+'(X,' = =>'(X,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c47,plain,
'+'(X,' = =>'(X,X2)) = '+'(X2,' = =>'(X2,X)),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
'+'('+'(X,' = =>'(X,X3)),X2) = '+'('+'(X3,' = =>'(X3,X)),X2),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
'+'('+'(X3,' = =>'(X3,X)),X2) = '+'(X3,'+'(' = =>'(X3,X),X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c50,plain,
'+'(' = =>'(X3,X),X2) = '+'(X2,' = =>'(X3,X)),
inference(substitution,[status(thm)],[c26]) ).
cnf(c51,plain,
'+'(X3,'+'(' = =>'(X3,X),X2)) = '+'(X3,'+'(X2,' = =>'(X3,X))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
'+'('+'(X3,' = =>'(X3,X)),X2) = '+'(X3,'+'(X2,' = =>'(X3,X))),
inference(transitivity,[status(thm)],[c49,c51]) ).
cnf(c53,plain,
'+'('+'(X,' = =>'(X,X3)),X2) = '+'(X3,'+'(X2,' = =>'(X3,X))),
inference(transitivity,[status(thm)],[c48,c52]) ).
cnf(c54,plain,
'+'(X,'+'(' = =>'(X,X3),X2)) = '+'(X3,'+'(X2,' = =>'(X3,X))),
inference(transitivity,[status(thm)],[c45,c53]) ).
cnf(c55,plain,
'+'(b,'+'(' = =>'(b,c),' = =>'(b,' = =>'(' = =>'(b,c),a)))) = '+'(c,'+'(' = =>'(b,' = =>'(' = =>'(b,c),a)),' = =>'(c,b))),
inference(substitution,[status(thm)],[c54]) ).
cnf(c56,plain,
'+'(' = =>'(b,' = =>'(' = =>'(b,c),a)),' = =>'(c,b)) = '+'(' = =>'(c,b),' = =>'(b,' = =>'(' = =>'(b,c),a))),
inference(substitution,[status(thm)],[c26]) ).
cnf(c57,plain,
'+'(c,'+'(' = =>'(b,' = =>'(' = =>'(b,c),a)),' = =>'(c,b))) = '+'(c,'+'(' = =>'(c,b),' = =>'(b,' = =>'(' = =>'(b,c),a)))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
' = =>'(c,' = =>'(' = =>'(c,b),a)) = ' = =>'(b,' = =>'(' = =>'(b,c),a)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c59,plain,
' = =>'(b,' = =>'(' = =>'(b,c),a)) = ' = =>'(c,' = =>'(' = =>'(c,b),a)),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
'+'(' = =>'(c,b),' = =>'(b,' = =>'(' = =>'(b,c),a))) = '+'(' = =>'(c,b),' = =>'(c,' = =>'(' = =>'(c,b),a))),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
'+'(c,'+'(' = =>'(c,b),' = =>'(b,' = =>'(' = =>'(b,c),a)))) = '+'(c,'+'(' = =>'(c,b),' = =>'(c,' = =>'(' = =>'(c,b),a)))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
'+'('+'(X2,X),' = =>'(X2,' = =>'(X,X3))) = '+'(X2,'+'(X,' = =>'(X2,' = =>'(X,X3)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c63,plain,
'+'(X2,'+'(X,' = =>'(X2,' = =>'(X,X3)))) = '+'('+'(X2,X),' = =>'(X2,' = =>'(X,X3))),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c64,plain,
' = =>'('+'(X2,X),X3) = ' = =>'(X2,' = =>'(X,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c65,plain,
' = =>'(X2,' = =>'(X,X3)) = ' = =>'('+'(X2,X),X3),
inference(symmetry,[status(thm)],[c64]) ).
cnf(c66,plain,
'+'('+'(X2,X),' = =>'(X2,' = =>'(X,X3))) = '+'('+'(X2,X),' = =>'('+'(X2,X),X3)),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
'+'('+'(X2,X),' = =>'('+'(X2,X),X3)) = '+'(X3,' = =>'(X3,'+'(X2,X))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c68,plain,
'+'('+'(X2,X),' = =>'(X2,' = =>'(X,X3))) = '+'(X3,' = =>'(X3,'+'(X2,X))),
inference(transitivity,[status(thm)],[c66,c67]) ).
cnf(c69,plain,
'+'(X2,'+'(X,' = =>'(X2,' = =>'(X,X3)))) = '+'(X3,' = =>'(X3,'+'(X2,X))),
inference(transitivity,[status(thm)],[c63,c68]) ).
cnf(c70,plain,
'+'(c,'+'(' = =>'(c,b),' = =>'(c,' = =>'(' = =>'(c,b),a)))) = '+'(a,' = =>'(a,'+'(c,' = =>'(c,b)))),
inference(substitution,[status(thm)],[c69]) ).
cnf(c71,plain,
'+'(b,' = =>'(b,c)) = '+'(c,' = =>'(c,b)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c72,plain,
'+'(c,' = =>'(c,b)) = '+'(b,' = =>'(b,c)),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
' = =>'(a,'+'(c,' = =>'(c,b))) = ' = =>'(a,'+'(b,' = =>'(b,c))),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
'+'(a,' = =>'(a,'+'(c,' = =>'(c,b)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
'+'(c,'+'(' = =>'(c,b),' = =>'(c,' = =>'(' = =>'(c,b),a)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c70,c74]) ).
cnf(c76,plain,
'+'(c,'+'(' = =>'(c,b),' = =>'(b,' = =>'(' = =>'(b,c),a)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c61,c75]) ).
cnf(c77,plain,
'+'(c,'+'(' = =>'(b,' = =>'(' = =>'(b,c),a)),' = =>'(c,b))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c57,c76]) ).
cnf(c78,plain,
'+'(b,'+'(' = =>'(b,c),' = =>'(b,' = =>'(' = =>'(b,c),a)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c55,c77]) ).
cnf(c79,plain,
'+'(b,'+'(' = =>'(b,c),' = =>'(' = =>'(b,c),' = =>'(b,a)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c43,c78]) ).
cnf(c80,plain,
'+'(b,'+'(' = =>'(b,a),' = =>'(b,' = =>'(' = =>'(b,a),c)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c39,c79]) ).
cnf(c81,plain,
'+'(b,'+'(' = =>'(b,a),' = =>'(a,' = =>'(' = =>'(a,b),c)))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c21,c80]) ).
cnf(c82,plain,
'+'('+'(b,' = =>'(b,a)),' = =>'(a,' = =>'(' = =>'(a,b),c))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c9,c81]) ).
cnf(c83,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'(a,' = =>'(' = =>'(a,b),c))) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c7,c82]) ).
cnf(c84,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(transitivity,[status(thm)],[c4,c83]) ).
cnf(c85,plain,
$false,
inference(resolution,[status(thm)],[c1,c84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:05:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.52 Command-line arguments: --no-flatten-goal
% 0.59/0.52
% 0.59/0.52 % SZS status Unsatisfiable
% 0.59/0.52
% 0.59/0.52 % SZS output start CNFRefutation
% See solution above
% 0.59/0.57
% 0.59/0.57 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------