%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP708-1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n015.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 06:44:46 AM UTC 2025
% Result : Unsatisfiable 0.71s 0.89s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
file('theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(unit,X) = X,
file('theBenchmark.p',c06) ).
cnf(c3,axiom,
mult(op_c,X) = mult(X,op_c),
file('theBenchmark.p',c08) ).
cnf(c4,axiom,
rd(mult(X,Y),Y) = X,
file('theBenchmark.p',c04) ).
cnf(c17,plain,
rd(mult(op_c,X),op_c) = X,
inference(equational,[status(thm)],[c3,c4]) ).
cnf(c31,axiom,
mult(X,mult(Y,mult(X,Z))) = mult(mult(X,mult(Y,X)),Z),
file('theBenchmark.p',c07) ).
cnf(c32,plain,
mult(mult(X,mult(Y,X)),Z) = mult(X,mult(Y,mult(X,Z))),
inference(equational,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(mult(X,X),Y) = mult(X,mult(X,Y)),
inference(equational,[status(thm)],[c2,c32]) ).
cnf(c38,axiom,
mult(mult(op_c,op_c),mult(X,Y)) = mult(mult(mult(op_c,op_c),X),Y),
file('theBenchmark.p',c09) ).
cnf(c39,plain,
mult(mult(op_c,mult(op_c,X)),Y) = mult(op_c,mult(op_c,mult(X,Y))),
inference(equational,[status(thm)],[c33,c38]) ).
cnf(c49,plain,
mult(op_c,mult(X,mult(op_c,Y))) = mult(op_c,mult(op_c,mult(X,Y))),
inference(equational,[status(thm)],[c3,c32,c39]) ).
cnf(c50,plain,
mult(X,mult(op_c,Y)) = mult(op_c,mult(X,Y)),
inference(equational,[status(thm)],[c17,c49]) ).
cnf(g1,plain,
mult(a,mult(b,op_c)) = mult(mult(a,b),op_c),
inference(equational,[status(thm)],[c3,c50]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP708-1 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n015.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 08:55:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.71/0.89 % SZS status Unsatisfiable
% 0.71/0.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------