TPTP Problem File: SYN431+1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN431+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=4, R=1, L=16, K=3, D=1, P=0, Index=042
% Version : Especial.
% English :
% Refs : [OS95] Ohlbach & Schmidt (1995), Functional Translation and S
% : [HS97] Hustadt & Schmidt (1997), On Evaluating Decision Proce
% : [Wei97] Weidenbach (1997), Email to G. Sutcliffe
% Source : [Wei97]
% Names : alc-4-1-16-3-1-042.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v4.1.0, 0.50 v4.0.1, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.00 v3.1.0, 0.50 v2.6.0, 0.25 v2.5.0, 0.33 v2.4.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 243 ( 0 equ)
% Maximal formula atoms : 243 ( 243 avg)
% Number of connectives : 344 ( 102 ~; 94 |; 131 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 53 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 34 ( 34 usr; 30 prp; 0-1 aty)
% Number of functors : 29 ( 29 usr; 29 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% SPC : FOF_CSA_EPR_NEQ
% Comments : These ALC problems have been translated from propositional
% multi-modal K logic formulae generated according to the scheme
% described in [HS97], using the optimized functional translation
% described in [OS95]. The finite model property holds, the
% Herbrand Universe is finite, they are decidable (the complexity
% is PSPACE-complete), resolution + subsumption + condensing is a
% decision procedure, and the translated formulae belong to the
% (CNF-translation of the) Bernays-Schoenfinkel class [Wei97].
%--------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c1_1(a132)
& ~ c0_1(a132)
& ~ c3_1(a132) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a133)
& ~ c1_1(a133)
& ~ c0_1(a133) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a135)
& ~ c2_1(a135)
& ~ c0_1(a135) ) )
& ( ~ hskp3
| ( ndr1_0
& c2_1(a136)
& ~ c0_1(a136)
& ~ c3_1(a136) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a137)
& c3_1(a137)
& ~ c2_1(a137) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a139)
& c0_1(a139)
& ~ c1_1(a139) ) )
& ( ~ hskp6
| ( ndr1_0
& c1_1(a140)
& c0_1(a140)
& ~ c3_1(a140) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a141)
& c3_1(a141)
& ~ c1_1(a141) ) )
& ( ~ hskp8
| ( ndr1_0
& c3_1(a142)
& c1_1(a142)
& ~ c0_1(a142) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c2_1(a145)
& ~ c0_1(a145)
& ~ c3_1(a145) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a146)
& ~ c2_1(a146)
& ~ c1_1(a146) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a151)
& ~ c3_1(a151)
& ~ c0_1(a151) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ c2_1(a154)
& ~ c3_1(a154)
& ~ c1_1(a154) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c3_1(a156)
& c1_1(a156)
& ~ c0_1(a156) ) )
& ( ~ hskp14
| ( ndr1_0
& c1_1(a159)
& c2_1(a159)
& ~ c3_1(a159) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ c1_1(a160)
& ~ c2_1(a160)
& ~ c3_1(a160) ) )
& ( ~ hskp16
| ( ndr1_0
& c0_1(a161)
& c2_1(a161)
& ~ c1_1(a161) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a134)
& ~ c3_1(a134)
& c0_1(a134) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c2_1(a138)
& c0_1(a138)
& c3_1(a138) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a143)
& c0_1(a143)
& c1_1(a143) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a144)
& c2_1(a144)
& c3_1(a144) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a147)
& ~ c0_1(a147)
& c3_1(a147) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c3_1(a148)
& c1_1(a148)
& c2_1(a148) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c3_1(a149)
& c1_1(a149)
& c0_1(a149) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c2_1(a150)
& c1_1(a150)
& c0_1(a150) ) )
& ( ~ hskp25
| ( ndr1_0
& c3_1(a152)
& ~ c0_1(a152)
& c2_1(a152) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a153)
& ~ c3_1(a153)
& c1_1(a153) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ c1_1(a157)
& c3_1(a157)
& c2_1(a157) ) )
& ( ~ hskp28
| ( ndr1_0
& c1_1(a158)
& ~ c0_1(a158)
& c2_1(a158) ) )
& ( ! [U] :
( ndr1_0
=> ( ~ c3_1(U)
| c2_1(U)
| c0_1(U) ) )
| hskp0
| hskp1 )
& ( ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c1_1(V)
| ~ c0_1(V) ) )
| hskp17
| hskp2 )
& ( hskp3
| hskp4
| ! [W] :
( ndr1_0
=> ( ~ c3_1(W)
| ~ c0_1(W)
| ~ c2_1(W) ) ) )
& ( hskp18
| hskp5
| hskp6 )
& ( ! [X] :
( ndr1_0
=> ( c0_1(X)
| c2_1(X)
| ~ c1_1(X) ) )
| ! [Y] :
( ndr1_0
=> ( ~ c1_1(Y)
| ~ c0_1(Y)
| c2_1(Y) ) )
| ! [Z] :
( ndr1_0
=> ( ~ c1_1(Z)
| ~ c2_1(Z)
| c0_1(Z) ) ) )
& ( hskp7
| ! [X1] :
( ndr1_0
=> ( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) )
| hskp8 )
& ( hskp19
| hskp20
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c3_1(X3) ) )
| hskp9
| hskp10 )
& ( ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| ~ c2_1(X4)
| ~ c1_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| ~ c3_1(X5)
| ~ c2_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| ~ c2_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| ~ c1_1(X7)
| c2_1(X7) ) )
| hskp21 )
& ( hskp22
| hskp23
| hskp24 )
& ( hskp11
| hskp25
| hskp26 )
& ( ! [X8] :
( ndr1_0
=> ( ~ c0_1(X8)
| ~ c2_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| c2_1(X9)
| ~ c3_1(X9) ) )
| hskp12 )
& ( hskp3
| hskp13
| hskp27 )
& ( hskp28
| hskp14
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| c0_1(X10)
| ~ c1_1(X10) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| ~ c2_1(X11)
| c0_1(X11) ) )
| hskp15
| hskp16 ) ) ).
%--------------------------------------------------------------------------