%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP665-12 : TPTP v9.0.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n009.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 06:44:39 AM UTC 2025
% Result : Unsatisfiable 0.58s 0.73s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
file('theBenchmark.p',goal) ).
cnf(c3,axiom,
mult(op_c,X) = mult(X,op_c),
file('theBenchmark.p',f09) ).
cnf(c4,axiom,
rd(mult(X,Y),Y) = X,
file('theBenchmark.p',f04) ).
cnf(c32,axiom,
mult(X,mult(Y,Z)) = mult(rd(mult(X,Y),X),mult(X,Z)),
file('theBenchmark.p',f07) ).
cnf(c33,plain,
mult(rd(mult(X,Y),X),mult(X,Z)) = mult(X,mult(Y,Z)),
inference(equational,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(op_c,mult(X,Y)) = mult(X,mult(op_c,Y)),
inference(equational,[status(thm)],[c3,c4,c33]) ).
cnf(g1,plain,
mult(mult(x0,x1),op_c) = mult(x0,mult(x1,op_c)),
inference(equational,[status(thm)],[c3,c34]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP665-12 : TPTP v9.0.0. Released v8.1.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 14 08:48:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.58/0.73 % SZS status Unsatisfiable
% 0.58/0.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------