TPTP Problem File: PUZ049-10.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : PUZ049-10 : TPTP v8.2.0. Released v7.5.0.
% Domain : Puzzles
% Problem : Quo vadis 6 - intermediate to final
% Version : Especial.
% English :
% Refs : [CS18] Claessen & Smallbone (2018), Efficient Encodings of Fi
% : [Sma18] Smallbone (2018), Email to Geoff Sutcliffe
% Source : [Sma18]
% Names :
% Status : Satisfiable
% Rating : 0.56 v8.2.0, 0.80 v8.1.0, 0.50 v7.5.0
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 2 RR)
% Number of literals : 44 ( 44 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-12 aty)
% Number of variables : 494 ( 12 sgn)
% SPC : CNF_SAT_RFO_PEQ_UEQ
% Comments : Converted from PUZ049-1 to UEQ using [CS18].
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(A,A,B,C) = B ).
cnf(s1_right,axiom,
ifeq(state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2),true,state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(s1_left,axiom,
ifeq(state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2),true) = true ).
cnf(s1_down,axiom,
ifeq(state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2),true,state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(s1_up,axiom,
ifeq(state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2),true) = true ).
cnf(s2_right,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2),true,state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2),true) = true ).
cnf(s2_left,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2),true) = true ).
cnf(s2_down,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2),true,state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2),true) = true ).
cnf(s2_up,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2),true) = true ).
cnf(s3_right,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2),true) = true ).
cnf(s3_left,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2),true) = true ).
cnf(s3_down,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2),true) = true ).
cnf(s3_up,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2),true) = true ).
cnf(s4_right,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2),true) = true ).
cnf(s4_left,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2),true) = true ).
cnf(s4_down,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2),true) = true ).
cnf(s4_up,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2),true,state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2),true) = true ).
cnf(v1_right,axiom,
ifeq(state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true,state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true) = true ).
cnf(v1_left,axiom,
ifeq(state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true,state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true) = true ).
cnf(v1_down,axiom,
ifeq(state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true,state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(v1_up,axiom,
ifeq(state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2),true,state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true) = true ).
cnf(v2_right,axiom,
ifeq(state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true,state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true) = true ).
cnf(v2_left,axiom,
ifeq(state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true,state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true) = true ).
cnf(v2_down,axiom,
ifeq(state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true,state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(v2_up,axiom,
ifeq(state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2),true,state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true) = true ).
cnf(v3_right,axiom,
ifeq(state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true,state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true) = true ).
cnf(v3_left,axiom,
ifeq(state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true,state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true) = true ).
cnf(v3_down,axiom,
ifeq(state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true,state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(v3_up,axiom,
ifeq(state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2),true,state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true) = true ).
cnf(v4_right,axiom,
ifeq(state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true,state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true) = true ).
cnf(v4_left,axiom,
ifeq(state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true,state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))),true) = true ).
cnf(v4_down,axiom,
ifeq(state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true,state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(v4_up,axiom,
ifeq(state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2),true) = true ).
cnf(h_right,axiom,
ifeq(state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2),true,state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2),true) = true ).
cnf(h_left,axiom,
ifeq(state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2),true,state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2),true) = true ).
cnf(h_down,axiom,
ifeq(state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))),true,state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))),true) = true ).
cnf(h_up,axiom,
ifeq(state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))),true,state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))),true) = true ).
cnf(b_right,axiom,
ifeq(state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))),true,state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true) = true ).
cnf(b_left,axiom,
ifeq(state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)),true,state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))),true) = true ).
cnf(b_down,axiom,
ifeq(state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))),true,state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))),true) = true ).
cnf(b_up,axiom,
ifeq(state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))),true,state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))),true) = true ).
cnf(swap_blanks,axiom,
ifeq(state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W)),true,state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y)),true) = true ).
cnf(intermediate_state,hypothesis,
state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))) = true ).
cnf(goal_state,negated_conjecture,
state(bb(s(s(s(o))),s(o)),V1,V2,V3,V4,H,S1,S2,S3,S4,E1,E2) != true ).
%------------------------------------------------------------------------------