%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP665-10 : TPTP v9.0.0. Released v8.1.0.
% 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 06:44:38 AM UTC 2025
% Result : Unsatisfiable 60.26s 60.45s
% Output : CNFRefutation 60.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
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(c10,axiom,
ld(X,mult(X,Y)) = Y,
file('theBenchmark.p',f02) ).
cnf(c16,plain,
rd(mult(op_c,X),op_c) = X,
inference(equational,[status(thm)],[c3,c4]) ).
cnf(c20,axiom,
mult(X,mult(Y,Z)) = mult(rd(mult(X,Y),X),mult(X,Z)),
file('theBenchmark.p',f07) ).
cnf(c21,plain,
mult(rd(mult(X,Y),X),mult(X,Z)) = mult(X,mult(Y,Z)),
inference(equational,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(op_c,mult(X,Y)) = mult(X,mult(op_c,Y)),
inference(equational,[status(thm)],[c3,c4,c21]) ).
cnf(c23,plain,
mult(X,mult(Y,op_c)) = mult(op_c,mult(X,Y)),
inference(equational,[status(thm)],[c3,c16,c21]) ).
cnf(c50,axiom,
mult(mult(X,Y),Z) = mult(mult(X,Z),ld(Z,mult(Y,Z))),
file('theBenchmark.p',f08) ).
cnf(c51,plain,
mult(mult(X,Y),ld(Y,mult(Z,Y))) = mult(mult(X,Z),Y),
inference(equational,[status(thm)],[c50]) ).
cnf(c53,plain,
mult(mult(X,op_c),Y) = mult(op_c,mult(X,Y)),
inference(equational,[status(thm)],[c3,c10,c51]) ).
cnf(g1,plain,
mult(op_c,mult(x0,x1)) = mult(mult(op_c,x0),x1),
inference(equational,[status(thm)],[c3,c22,c23,c53]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP665-10 : TPTP v9.0.0. Released v8.1.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 14 08:47:19 EDT 2025
% 0.11/0.33 % CPUTime :
% 60.26/60.45 % SZS status Unsatisfiable
% 60.26/60.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------