%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP702-12 : TPTP v9.0.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n008.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 06:44:45 AM UTC 2025
% Result : Unsatisfiable 0.79s 0.98s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 4 RR)
% Number of literals : 15 ( 14 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
file('theBenchmark.p',goal) ).
cnf(c1,axiom,
mult(X,unit) = X,
file('theBenchmark.p',f05) ).
cnf(c2,axiom,
mult(unit,X) = X,
file('theBenchmark.p',f06) ).
cnf(c7,axiom,
mult(X,ld(X,Y)) = Y,
file('theBenchmark.p',f01) ).
cnf(c8,plain,
ld(unit,X) = X,
inference(equational,[status(thm)],[c2,c7]) ).
cnf(c12,axiom,
op_d = ld(X,mult(op_c,X)),
file('theBenchmark.p',f11) ).
cnf(c13,plain,
op_d = op_c,
inference(equational,[status(thm)],[c1,c8,c12]) ).
cnf(c14,plain,
mult(X,op_c) = mult(op_c,X),
inference(equational,[status(thm)],[c7,c12,c13]) ).
cnf(c20,axiom,
mult(op_c,mult(X,Y)) = mult(mult(op_c,X),Y),
file('theBenchmark.p',f08) ).
cnf(c21,plain,
mult(mult(op_c,X),Y) = mult(op_c,mult(X,Y)),
inference(equational,[status(thm)],[c20]) ).
cnf(c22,axiom,
mult(X,mult(op_c,Y)) = mult(mult(X,op_c),Y),
file('theBenchmark.p',f10) ).
cnf(c23,plain,
mult(mult(X,op_c),Y) = mult(X,mult(op_c,Y)),
inference(equational,[status(thm)],[c22]) ).
cnf(c42,plain,
mult(X,mult(op_c,Y)) = mult(op_c,mult(X,Y)),
inference(equational,[status(thm)],[c14,c21,c23]) ).
cnf(g1,plain,
mult(x0,mult(op_d,x1)) = mult(mult(x0,op_d),x1),
inference(equational,[status(thm)],[c13,c14,c21,c42]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP702-12 : TPTP v9.0.0. Released v8.1.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n008.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 08:54:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.79/0.98 % SZS status Unsatisfiable
% 0.79/0.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------