%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT391-1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n014.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 07:06:24 AM UTC 2025
% Result : Unsatisfiable 1.85s 2.00s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 3 RR)
% Number of literals : 18 ( 17 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 65 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(mult(plus(a,b),plus(b,c)),b) != b,
file('theBenchmark.p',goals) ).
cnf(c1,axiom,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(W,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(W,mult(Y,V)),mult(U,Y)),Y)),plus(U2,mult(Y,plus(plus(mult(Y,U3),mult(U,Y)),Y)))),mult(X,mult(mult(plus(W,Y),plus(Y,V)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
file('theBenchmark.p',sos) ).
cnf(c2,plain,
mult(plus(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),W),plus(mult(plus(X,mult(mult(plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),V)),mult(plus(Y,Z),plus(Z,mult(Y,Z))))),plus(Z,mult(X,mult(mult(plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),V)),mult(plus(Y,Z),plus(Z,mult(Y,Z))))))),mult(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),W))) = mult(plus(Y,Z),plus(Z,mult(Y,Z))),
inference(equational,[status(thm)],[c1]) ).
cnf(c3,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(Y,Y),plus(Y,W)),Y)),plus(mult(plus(V,mult(mult(plus(U,Y),plus(Y,U2)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,U2)),mult(U3,Y)),Y)),plus(U4,mult(Y,plus(plus(mult(Y,U5),mult(U3,Y)),Y)))),mult(V,mult(mult(plus(U,Y),plus(Y,U2)),Y)))),mult(X,mult(mult(plus(Y,Y),plus(Y,W)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c2]) ).
cnf(c4,plain,
mult(plus(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Y),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Y))),Z),plus(Y,mult(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Y),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c3]) ).
cnf(c5,plain,
mult(plus(X,Y),plus(X,mult(X,Y))) = X,
inference(equational,[status(thm)],[c4]) ).
cnf(c8,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(Y,Y),plus(Y,W)),Y)),plus(Y,mult(X,mult(mult(plus(Y,Y),plus(Y,W)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c2,c4]) ).
cnf(c9,plain,
mult(plus(X,mult(mult(plus(Y,Y),plus(Y,Z)),Y)),plus(Y,mult(X,mult(mult(plus(Y,Y),plus(Y,Z)),Y)))) = Y,
inference(equational,[status(thm)],[c5,c8]) ).
cnf(c12,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c8,c9]) ).
cnf(c17,plain,
mult(plus(X,mult(mult(plus(Y,Z),plus(Z,W)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,W)),mult(V,Z)),Z)),plus(U,mult(Z,plus(plus(mult(Z,U2),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,W)),Z)))) = Z,
inference(equational,[status(thm)],[c1,c5,c8]) ).
cnf(c18,plain,
mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(W,X)),X)),plus(V,mult(X,plus(plus(mult(X,U),mult(W,X)),X)))) = X,
inference(equational,[status(thm)],[c5,c17]) ).
cnf(c19,plain,
mult(plus(X,Y),plus(Y,mult(X,Y))) = Y,
inference(equational,[status(thm)],[c12,c18]) ).
cnf(c20,plain,
plus(plus(mult(X,mult(X,Y)),mult(Z,X)),X) = X,
inference(equational,[status(thm)],[c18,c19]) ).
cnf(c31,plain,
mult(plus(X,X),plus(Y,mult(X,plus(plus(mult(X,Z),mult(W,X)),X)))) = X,
inference(equational,[status(thm)],[c18,c20]) ).
cnf(c32,plain,
mult(plus(X,X),plus(Y,mult(X,X))) = X,
inference(equational,[status(thm)],[c20,c31]) ).
cnf(c38,plain,
mult(mult(plus(X,Y),plus(Y,Z)),Y) = Y,
inference(equational,[status(thm)],[c17,c32]) ).
cnf(g1,plain,
mult(mult(plus(a,b),plus(b,c)),b) = b,
inference(equational,[status(thm)],[c38]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT391-1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n014.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 12:39:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 1.85/2.00 % SZS status Unsatisfiable
% 1.85/2.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------