%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : BOO021-1 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n003.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 06:14:47 AM UTC 2025
% Result : Unsatisfiable 0.38s 0.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('theBenchmark.p',prove_commutativity_of_multiply) ).
cnf(c3,axiom,
multiply(add(X,Y),Y) = Y,
file('theBenchmark.p',multiply_add) ).
cnf(c4,axiom,
add(multiply(X,Y),Y) = Y,
file('theBenchmark.p',add_multiply) ).
cnf(c6,plain,
add(X,X) = X,
inference(equational,[status(thm)],[c3,c4]) ).
cnf(c30,axiom,
multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
file('theBenchmark.p',multiply_add_property) ).
cnf(c31,plain,
add(multiply(X,Y),multiply(Z,Y)) = multiply(Y,add(X,Z)),
inference(equational,[status(thm)],[c30]) ).
cnf(c32,plain,
multiply(X,Y) = multiply(Y,X),
inference(equational,[status(thm)],[c6,c31]) ).
cnf(g1,plain,
multiply(b,a) = multiply(a,b),
inference(equational,[status(thm)],[c32]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : BOO021-1 : TPTP v9.0.0. Released v2.2.0.
% 0.02/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 04:23:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.38/0.56 % SZS status Unsatisfiable
% 0.38/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------