%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP698-1 : 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 60.58s 60.69s
% Output : CNFRefutation 60.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
file('theBenchmark.p',goals) ).
cnf(c1,axiom,
mult(X,unit) = X,
file('theBenchmark.p',c05) ).
cnf(c3,axiom,
mult(rd(X,Y),Y) = X,
file('theBenchmark.p',c03) ).
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(c13,axiom,
mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
file('theBenchmark.p',c07) ).
cnf(c16,plain,
mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
inference(equational,[status(thm)],[c1,c13]) ).
cnf(c34,plain,
mult(X,mult(mult(ld(X,Y),X),X)) = mult(mult(Y,X),X),
inference(equational,[status(thm)],[c7,c16]) ).
cnf(c35,plain,
mult(mult(ld(X,Y),X),X) = ld(X,mult(mult(Y,X),X)),
inference(equational,[status(thm)],[c9,c34]) ).
cnf(c97,plain,
mult(X,mult(ld(X,mult(mult(Y,X),X)),Z)) = mult(mult(Y,X),mult(X,Z)),
inference(equational,[status(thm)],[c7,c13,c35]) ).
cnf(c98,plain,
mult(X,mult(ld(X,mult(Y,X)),Z)) = mult(Y,mult(X,Z)),
inference(equational,[status(thm)],[c3,c97]) ).
cnf(c101,plain,
mult(rd(X,Y),mult(Y,Z)) = mult(Y,mult(ld(Y,X),Z)),
inference(equational,[status(thm)],[c3,c98]) ).
cnf(g1,plain,
mult(a,mult(b,c)) = mult(rd(mult(a,b),a),mult(a,c)),
inference(equational,[status(thm)],[c9,c101]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP698-1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 14 08:53:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 60.58/60.69 % SZS status Unsatisfiable
% 60.58/60.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------