TPTP Problem File: GRP520-1.p
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% File : GRP520-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Domain : Group Theory (Abelian)
% Problem : Axiom for Abelian group theory, in product and inverse, part 4
% Version : [McC93] (equality) axioms.
% English :
% Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.14 v8.2.0, 0.12 v8.1.0, 0.25 v7.5.0, 0.17 v7.4.0, 0.30 v7.3.0, 0.26 v7.1.0, 0.17 v7.0.0, 0.21 v6.4.0, 0.32 v6.3.0, 0.29 v6.1.0, 0.06 v6.0.0, 0.24 v5.5.0, 0.21 v5.4.0, 0.00 v5.2.0, 0.07 v5.0.0, 0.00 v3.4.0, 0.12 v3.3.0, 0.00 v2.7.0
% Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR)
% Number of literals : 2 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% SPC : CNF_UNS_RFO_PEQ_UEQ
% Comments : A UEQ part of GRP087-1
% Bugfixes : v2.7.0 - Grounded conjecture
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cnf(single_axiom,axiom,
multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
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