TPTP Problem File: MSC005-1.p
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%--------------------------------------------------------------------------
% File : MSC005-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Miscellaneous
% Problem : The evaluation of XOR expressions
% Version : [Pla82] axioms.
% English :
% Refs : [Pla82] Plaisted (1982), A Simplified Problem Reduction Format
% Source : [Pla82]
% Names : Problem 5.1 [Pla82]
% Status : Unsatisfiable
% Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.05 v5.2.0, 0.00 v2.0.0
% Syntax : Number of clauses : 7 ( 3 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% SPC : CNF_UNS_RFO_NEQ_HRN
% Comments :
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cnf(true_is_true,axiom,
value(truth,truth) ).
cnf(false_is_false,axiom,
value(falsity,falsity) ).
cnf(true_xor_true,axiom,
( ~ value(X,truth)
| ~ value(Y,truth)
| value(xor(X,Y),falsity) ) ).
cnf(true_xor_false,axiom,
( ~ value(X,truth)
| ~ value(Y,falsity)
| value(xor(X,Y),truth) ) ).
cnf(false_xor_true,axiom,
( ~ value(X,falsity)
| ~ value(Y,truth)
| value(xor(X,Y),truth) ) ).
cnf(false_xor_false,axiom,
( ~ value(X,falsity)
| ~ value(Y,falsity)
| value(xor(X,Y),falsity) ) ).
cnf(evaluate_expression,negated_conjecture,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),Value) ).
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