%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n029.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 : Mon Sep 7 01:15:28 PM UTC 2026
% Result : Unsatisfiable 69.08s 69.18s
% Output : CNFRefutation 69.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 3 RR)
% Number of literals : 17 ( 16 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('theBenchmark.p',goals_09) ).
cnf(c5,axiom,
'+'(X,Y) = '+'(Y,X),
file('theBenchmark.p',sos_02) ).
cnf(c7,axiom,
'+'('+'(X,Y),Z) = '+'(X,'+'(Y,Z)),
file('theBenchmark.p',sos_01) ).
cnf(c8,axiom,
' = =>'('+'(X,Y),Z) = ' = =>'(X,' = =>'(Y,Z)),
file('theBenchmark.p',sos_07) ).
cnf(c9,axiom,
'+'(X,' = =>'(X,Y)) = '+'(Y,' = =>'(Y,X)),
file('theBenchmark.p',sos_08) ).
cnf(c10,plain,
'+'(X,'+'(Y,Z)) = '+'(Y,'+'(X,Z)),
inference(equational,[status(thm)],[c5,c7]) ).
cnf(c11,plain,
' = =>'(X,' = =>'(Y,Z)) = ' = =>'(Y,' = =>'(X,Z)),
inference(equational,[status(thm)],[c5,c8]) ).
cnf(c17,plain,
' = =>'(X,' = =>'(' = =>'(X,Y),Z)) = ' = =>'(Y,' = =>'(' = =>'(Y,X),Z)),
inference(equational,[status(thm)],[c8,c9]) ).
cnf(c18,plain,
'+'(X,'+'(' = =>'(X,Y),Z)) = '+'(Y,'+'(' = =>'(Y,X),Z)),
inference(equational,[status(thm)],[c7,c9]) ).
cnf(c21,plain,
'+'(X,'+'(Y,' = =>'(X,Z))) = '+'(Z,'+'(' = =>'(Z,X),Y)),
inference(equational,[status(thm)],[c5,c18]) ).
cnf(c34,plain,
'+'(X,'+'(Y,' = =>'(X,' = =>'(Y,Z)))) = '+'(Z,' = =>'(Z,'+'(X,Y))),
inference(equational,[status(thm)],[c7,c8,c9]) ).
cnf(c41,plain,
'+'(X,'+'(Y,' = =>'(Y,' = =>'(X,Z)))) = '+'(Z,' = =>'(Z,'+'(X,Y))),
inference(equational,[status(thm)],[c11,c34]) ).
cnf(c217,plain,
'+'(X,'+'(' = =>'(X,Y),' = =>'(' = =>'(X,Y),Z))) = '+'(Y,' = =>'(Y,'+'(Z,X))),
inference(equational,[status(thm)],[c5,c10,c21,c34]) ).
cnf(c218,plain,
'+'(X,' = =>'(X,'+'(Y,' = =>'(Y,Z)))) = '+'(Z,' = =>'(Z,'+'(Y,' = =>'(Y,X)))),
inference(equational,[status(thm)],[c5,c41,c217]) ).
cnf(c219,plain,
'+'(X,' = =>'(X,'+'(Y,' = =>'(Y,Z)))) = '+'(Y,' = =>'(Y,'+'(Z,' = =>'(Z,X)))),
inference(equational,[status(thm)],[c9,c218]) ).
cnf(g1,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) = '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(equational,[status(thm)],[c7,c8,c9,c17,c18,c34,c218,c219]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_Leo-III %s %d THM
% 0.08/0.35 % Computer : n029.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 15:31:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 69.08/69.18 % SZS status Unsatisfiable
% 69.08/69.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------