TPTP Problem File: SYN755-1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN755-1 : TPTP v8.2.0. Released v2.5.0.
% Domain : Syntactic (Translated)
% Problem : PSAT - K=4 C=50 V=4 D=1.1
% Version : Especial.
% English :
% Refs : [Sch99] Schmidt (1999), Decidability by Resolution for Proposit
% : [HS00a] Hustadt & Schmidt (2000), MSPASS: Modal Reasoning by Tr
% : [HS00b] Hustadt & Schmidt (2000), Issues of Decidability for De
% : [Sch01] Schmidt (2001), Email to G. Sutcliffe
% Source : [Sch01]
% Names : p-psat-cnf-K4-C50-V4-D1.1 [Sch01]
% Status : Unsatisfiable
% Rating : 0.17 v8.2.0, 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.27 v5.0.0, 0.29 v4.1.0, 0.25 v4.0.1, 0.00 v4.0.0, 0.29 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0, 0.00 v3.1.0, 0.33 v2.7.0, 0.38 v2.6.0, 0.33 v2.5.0
% Syntax : Number of clauses : 51 ( 1 unt; 35 nHn; 50 RR)
% Number of literals : 310 ( 0 equ; 211 neg)
% Maximal clause size : 7 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 5 usr; 0 prp; 1-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 160 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : The relational translation for the PSAT problem.
%--------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
ssRr(U,skf1(U)) ).
cnf(clause2,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ssPv1(U)
| ssPv2(U)
| ssPv3(U) ) ).
cnf(clause3,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ) ).
cnf(clause4,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ) ).
cnf(clause5,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssPv2(U)
| ssPv1(U)
| ssPv3(U) ) ).
cnf(clause6,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv3(V) ) ).
cnf(clause7,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ~ ssPv3(U)
| ~ ssPv4(U) ) ).
cnf(clause8,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ssPv4(V)
| ssPv1(W)
| ssPv2(U)
| ssPv3(U) ) ).
cnf(clause9,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(V)
| ssPv1(W)
| ssPv4(U) ) ).
cnf(clause10,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv3(V)
| ssPv2(W)
| ssPv3(U) ) ).
cnf(clause11,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv3(U)
| ssPv4(U) ) ).
cnf(clause12,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ssPv4(W)
| ssPv2(U)
| ssPv4(U) ) ).
cnf(clause13,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ssPv1(W)
| ssPv2(U)
| ssPv4(U) ) ).
cnf(clause14,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv2(U)
| ssPv3(U) ) ).
cnf(clause15,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv1(U)
| ssPv2(U) ) ).
cnf(clause16,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv1(U)
| ssPv2(U) ) ).
cnf(clause17,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W)
| ssPv4(U) ) ).
cnf(clause18,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv4(U)
| ssPv3(W)
| ssPv3(U) ) ).
cnf(clause19,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W)
| ssPv3(U) ) ).
cnf(clause20,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv3(W)
| ssPv2(U) ) ).
cnf(clause21,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W)
| ssPv2(U) ) ).
cnf(clause22,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv2(W)
| ssPv2(U) ) ).
cnf(clause23,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv1(W)
| ssPv2(U) ) ).
cnf(clause24,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ssPv2(U)
| ssPv4(U) ) ).
cnf(clause25,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv4(U)
| ssPv2(W)
| ssPv1(U) ) ).
cnf(clause26,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ~ ssPv4(U)
| ssPv1(W)
| ssPv1(U) ) ).
cnf(clause27,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv1(U) ) ).
cnf(clause28,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv4(W)
| ssPv1(U) ) ).
cnf(clause29,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ssPv1(U)
| ssPv3(U) ) ).
cnf(clause30,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv3(W) ) ).
cnf(clause31,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv1(W) ) ).
cnf(clause32,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ~ ssPv4(U)
| ssPv3(W) ) ).
cnf(clause33,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv4(U)
| ssPv3(U) ) ).
cnf(clause34,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv3(U) ) ).
cnf(clause35,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv2(U) ) ).
cnf(clause36,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv3(U)
| ssPv1(U) ) ).
cnf(clause37,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv3(W)
| ssPv1(X)
| ssPv4(U) ) ).
cnf(clause38,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv2(W)
| ssPv1(X)
| ssPv3(U) ) ).
cnf(clause39,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv3(W)
| ssPv2(X)
| ssPv2(U) ) ).
cnf(clause40,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv4(W)
| ssPv1(X)
| ssPv2(U) ) ).
cnf(clause41,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ssPv2(X)
| ssPv4(U) ) ).
cnf(clause42,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv4(U)
| ssPv3(W)
| ssPv2(X) ) ).
cnf(clause43,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv3(X) ) ).
cnf(clause44,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv3(X) ) ).
cnf(clause45,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssRr(U,X)
| ssPv2(X)
| ssPv4(U) ) ).
cnf(clause46,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv4(X) ) ).
cnf(clause47,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv4(X) ) ).
cnf(clause48,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv3(X) ) ).
cnf(clause49,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv1(X) ) ).
cnf(clause50,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssRr(U,X)
| ~ ssPv3(U)
| ssPv4(X) ) ).
cnf(clause51,negated_conjecture,
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(X)
| ~ ssPv3(U) ) ).
%--------------------------------------------------------------------------