TPTP Problem File: SYN001-1.005.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SYN001-1.005 : TPTP v8.2.0. Released v1.0.0.
% Domain : Syntactic
% Problem : All signed combinations of some propositions.
% Version : Especial.
% English : Pelletier 2: A biconditional version of the 'most difficult'
% theorem proved by the new logic theorist.
% : Pelletier 6: The Law of Excluded Middle: can be quite
% difficult for 'natural' systems.
% : Pelletier 7: Expanded Law of Excluded Middle. The strategies
% of the original Logic Theorist cannot prove this.
% : Pelletier 8: Pierce's Law. Unprovable by Logic Theorist, and
% tricky for 'natural' systems.
% : Pelletier 11: A simple problem designed to see whether
% 'natural' systems can do it efficiently (or whether they
% incorrectly try to prove the -> each way).
% : The size is the number of propositions.
% Refs : [NS72] Newell & Simon (1972), Human Problem Solving
% : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source : [SPRFN], [Pel86]
% Names : ls5 (Size 2) [LS74]
% : ls5 (Size 2) [WM76]
% : Pelletier 2 (Size 1) [Pel86]
% : Pelletier 6 (Size 1) [Pel86]
% : Pelletier 7 (Size 1) [Pel86]
% : Pelletier 8 (Size 1) [Pel86]
% : Pelletier 9 (Size 2) [Pel86]
% : Pelletier 11 (Size 1) [Pel86]
% : Pelletier 12 (Size 3) [Pel86]
% : Pelletier 14 (Size 2) [Pel86]
% Status : Unsatisfiable
% Rating : 0.00 v2.1.0
% Syntax : Number of clauses : 32 ( 0 unt; 26 nHn; 32 RR)
% Number of literals : 160 ( 0 equ; 80 neg)
% Maximal clause size : 5 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 5 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% SPC : CNF_UNS_PRP
% Comments :
% : tptp2X: -f tptp -s5 SYN001-1.g
%------------------------------------------------------------------------------
cnf(ppppp,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ) ).
cnf(ppppn,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(pppnp,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(pppnn,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(ppnpp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(ppnpn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(ppnnp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(ppnnn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(pnppp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ) ).
cnf(pnppn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(pnpnp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(pnpnn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(pnnpp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(pnnpn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(pnnnp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(pnnnn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(npppp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ) ).
cnf(npppn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(nppnp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(nppnn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(npnpp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(npnpn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(npnnp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(npnnn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(nnppp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ) ).
cnf(nnppn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(nnpnp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(nnpnn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(nnnpp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(nnnpn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(nnnnp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(nnnnn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
%------------------------------------------------------------------------------