%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : BOO011-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 06:14:45 AM UTC 2025
% Result : Unsatisfiable 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 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 : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('theBenchmark.p',prove_inverse_of_1_is_0) ).
cnf(c1,axiom,
add(X,additive_identity) = X,
file('BOO004-0.ax',additive_id1) ).
cnf(c3,axiom,
add(X,Y) = add(Y,X),
file('BOO004-0.ax',commutativity_of_add) ).
cnf(c6,plain,
add(additive_identity,X) = X,
inference(equational,[status(thm)],[c1,c3]) ).
cnf(c7,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('BOO004-0.ax',additive_inverse1) ).
cnf(c8,plain,
multiplicative_identity = inverse(additive_identity),
inference(equational,[status(thm)],[c6,c7]) ).
cnf(g1,plain,
inverse(additive_identity) = multiplicative_identity,
inference(equational,[status(thm)],[c8]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO011-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : run_Leo-III %s %d THM
% 0.08/0.29 % Computer : n014.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 14 04:23:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.14/0.53 % SZS status Unsatisfiable
% 0.14/0.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------