%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP699-1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n007.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 06:44:44 AM UTC 2025
% Result : Unsatisfiable 2.15s 2.31s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 18 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(unit,X) = X,
file('theBenchmark.p',c06) ).
cnf(c3,axiom,
mult(rd(X,Y),Y) = X,
file('theBenchmark.p',c03) ).
cnf(c5,axiom,
rd(mult(X,Y),Y) = X,
file('theBenchmark.p',c04) ).
cnf(c7,axiom,
mult(X,ld(X,Y)) = Y,
file('theBenchmark.p',c01) ).
cnf(c9,axiom,
ld(X,mult(X,Y)) = Y,
file('theBenchmark.p',c02) ).
cnf(c30,axiom,
mult(mult(X,Y),mult(Y,mult(Z,Y))) = mult(mult(X,mult(Y,mult(Y,Z))),Y),
file('theBenchmark.p',c08) ).
cnf(c31,plain,
mult(mult(X,mult(Y,mult(Y,Z))),Y) = mult(mult(X,Y),mult(Y,mult(Z,Y))),
inference(equational,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(mult(X,mult(X,Y)),X) = mult(X,mult(X,mult(Y,X))),
inference(equational,[status(thm)],[c2,c31]) ).
cnf(c44,plain,
mult(mult(X,Y),X) = mult(X,mult(X,mult(ld(X,Y),X))),
inference(equational,[status(thm)],[c7,c32]) ).
cnf(c104,plain,
rd(mult(mult(X,Y),mult(Y,mult(Z,Y))),Y) = mult(X,mult(Y,mult(Y,Z))),
inference(equational,[status(thm)],[c5,c31]) ).
cnf(c105,plain,
rd(mult(X,mult(Y,mult(Z,Y))),Y) = mult(rd(X,Y),mult(Y,mult(Y,Z))),
inference(equational,[status(thm)],[c3,c104]) ).
cnf(c122,plain,
mult(X,mult(X,mult(ld(X,ld(X,Y)),X))) = mult(Y,X),
inference(equational,[status(thm)],[c7,c44]) ).
cnf(c123,plain,
mult(X,mult(ld(X,ld(X,Y)),X)) = ld(X,mult(Y,X)),
inference(equational,[status(thm)],[c9,c122]) ).
cnf(c125,plain,
rd(mult(X,ld(Y,mult(Z,Y))),Y) = mult(rd(X,Y),Z),
inference(equational,[status(thm)],[c7,c105,c123]) ).
cnf(c126,plain,
mult(mult(rd(X,Y),Z),Y) = mult(X,ld(Y,mult(Z,Y))),
inference(equational,[status(thm)],[c3,c125]) ).
cnf(c173,plain,
mult(mult(X,Y),Z) = mult(mult(X,Z),ld(Z,mult(Y,Z))),
inference(equational,[status(thm)],[c5,c126]) ).
cnf(g1,plain,
mult(mult(a,b),c) = mult(mult(a,c),ld(c,mult(b,c))),
inference(equational,[status(thm)],[c173]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP699-1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 08:54:04 EDT 2025
% 0.11/0.33 % CPUTime :
% 2.15/2.31 % SZS status Unsatisfiable
% 2.15/2.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------