TSTP Solution File: SYN549+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 09:03:56 EDT 2022
% Result : Theorem 45.33s 45.55s
% Output : CNFRefutation 45.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 4
% Syntax : Number of formulae : 211 ( 16 unt; 1 def)
% Number of atoms : 791 ( 0 equ)
% Maximal formula atoms : 50 ( 3 avg)
% Number of connectives : 850 ( 270 ~; 527 |; 41 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 157 ( 16 sgn 54 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_of_reachable,axiom,
! [X] : reachable(X,X) ).
fof(transitivity_of_reachable,axiom,
! [X,Y,Z] :
( ( reachable(X,Y)
& reachable(Y,Z) )
=> reachable(X,Z) ) ).
fof(prove_this,conjecture,
? [X] :
( reachable(initial_world,X)
& ! [Y] :
( reachable(X,Y)
=> ( ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( reachable(Z,V)
& q(V) ) ) )
<=> ( ? [W] :
( reachable(Y,W)
& p(W) )
| ? [W] :
( reachable(Y,W)
& q(W) ) ) ) ) ) ).
fof(definition_0,definition,
! [W,Y] :
( definitionFOFtoCNF_0(W,Y)
<=> ( ~ p(W)
| ~ reachable(Y,W) ) ) ).
fof(subgoal_0,plain,
? [X] :
( reachable(initial_world,X)
& ! [Y] :
( reachable(X,Y)
=> ( ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( reachable(Z,V)
& q(V) ) ) )
<=> ( ? [W] :
( reachable(Y,W)
& p(W) )
| ? [W] :
( reachable(Y,W)
& q(W) ) ) ) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ? [X] :
( reachable(initial_world,X)
& ! [Y] :
( reachable(X,Y)
=> ( ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( reachable(Z,V)
& q(V) ) ) )
<=> ( ? [W] :
( reachable(Y,W)
& p(W) )
| ? [W] :
( reachable(Y,W)
& q(W) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W,Y] :
( ~ definitionFOFtoCNF_0(W,Y)
<=> ( p(W)
& reachable(Y,W) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_1,plain,
! [W,Y] :
( ( definitionFOFtoCNF_0(W,Y)
| p(W) )
& ( definitionFOFtoCNF_0(W,Y)
| reachable(Y,W) )
& ( ~ definitionFOFtoCNF_0(W,Y)
| ~ p(W)
| ~ reachable(Y,W) ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W,Y] :
( ~ definitionFOFtoCNF_0(W,Y)
| ~ p(W)
| ~ reachable(Y,W) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ reachable(initial_world,X)
| ? [Y] :
( reachable(X,Y)
& ( ( ! [W] :
( ~ p(W)
| ~ reachable(Y,W) )
& ! [W] :
( ~ q(W)
| ~ reachable(Y,W) ) )
<=> ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( q(V)
& reachable(Z,V) ) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ reachable(initial_world,X)
| ? [Y] :
( reachable(X,Y)
& ( ( ! [W] :
( ~ p(W)
| ~ reachable(Y,W) )
& ! [W] :
( ~ q(W)
| ~ reachable(Y,W) ) )
<=> ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( q(V)
& reachable(Z,V) ) ) ) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ reachable(initial_world,X)
| ? [Y] :
( reachable(X,Y)
& ( ( ! [W] : definitionFOFtoCNF_0(W,Y)
& ! [W] :
( ~ q(W)
| ~ reachable(Y,W) ) )
<=> ? [Z] :
( reachable(Y,Z)
& ( p(Z)
| ? [V] :
( q(V)
& reachable(Z,V) ) ) ) ) ) ),
inference(simplify,[],[normalize_0_4,normalize_0_0]) ).
fof(normalize_0_6,plain,
! [V,W,X,Z] :
( ( ~ reachable(initial_world,X)
| reachable(X,skolemFOFtoCNF_Y(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) )
& ( ~ p(Z)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),Z)
| definitionFOFtoCNF_0(W,skolemFOFtoCNF_Y(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| q(skolemFOFtoCNF_W_1(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) )
& ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) )
& ( ~ p(Z)
| ~ q(W)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W)
| ~ reachable(skolemFOFtoCNF_Y(X),Z) )
& ( ~ q(V)
| ~ reachable(Z,V)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),Z)
| definitionFOFtoCNF_0(W,skolemFOFtoCNF_Y(X)) )
& ( ~ q(V)
| ~ q(W)
| ~ reachable(Z,V)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W)
| ~ reachable(skolemFOFtoCNF_Y(X),Z) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [V,W,X,Z] :
( ~ q(V)
| ~ q(W)
| ~ reachable(Z,V)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W)
| ~ reachable(skolemFOFtoCNF_Y(X),Z) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] : reachable(X,X),
inference(canonicalize,[],[reflexivity_of_reachable]) ).
fof(normalize_0_9,plain,
! [X] : reachable(X,X),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ reachable(initial_world,X)
| reachable(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_11,plain,
! [X,Y,Z] :
( ~ reachable(X,Y)
| ~ reachable(Y,Z)
| reachable(X,Z) ),
inference(canonicalize,[],[transitivity_of_reachable]) ).
fof(normalize_0_12,plain,
! [X,Y,Z] :
( ~ reachable(X,Y)
| ~ reachable(Y,Z)
| reachable(X,Z) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [W,Y] :
( definitionFOFtoCNF_0(W,Y)
| reachable(Y,W) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_16,plain,
! [W,X,Z] :
( ~ p(Z)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),Z)
| definitionFOFtoCNF_0(W,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_18,plain,
! [W,Y] :
( definitionFOFtoCNF_0(W,Y)
| p(W) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| q(skolemFOFtoCNF_W_1(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( ~ definitionFOFtoCNF_0(W,Y)
| ~ p(W)
| ~ reachable(Y,W) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_0:[bind(W,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))),bind(Y,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_2,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_0:[bind(W,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))),bind(Y,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_3,plain,
( ~ q(V)
| ~ q(W)
| ~ reachable(Z,V)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W)
| ~ reachable(skolemFOFtoCNF_Y(X),Z) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ q(W)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W)
| ~ reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)) ),
inference(subst,[],[refute_0_3:[bind(V,$fot(W)),bind(Z,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_5,plain,
reachable(X,X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_7,plain,
( ~ q(W)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),W) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))),bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_9,plain,
( ~ reachable(initial_world,X)
| reachable(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_11,plain,
reachable(initial_world,initial_world),
inference(subst,[],[refute_0_5:[bind(X,$fot(initial_world))]]) ).
cnf(refute_0_12,plain,
( ~ reachable(initial_world,initial_world)
| reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(initial_world))]]) ).
cnf(refute_0_13,plain,
reachable(initial_world,skolemFOFtoCNF_Y(initial_world)),
inference(resolve,[$cnf( reachable(initial_world,initial_world) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_10]) ).
cnf(refute_0_15,plain,
( ~ reachable(X,Y)
| ~ reachable(Y,Z)
| reachable(X,Z) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_16,plain,
( ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),X_21)
| reachable(skolemFOFtoCNF_Y(initial_world),X_21) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world))),bind(Y,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))),bind(Z,$fot(X_21))]]) ).
cnf(refute_0_17,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),X_21)
| reachable(skolemFOFtoCNF_Y(initial_world),X_21) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_17:[bind(X_21,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_19,plain,
( definitionFOFtoCNF_0(W,Y)
| reachable(Y,W) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
( definitionFOFtoCNF_0(X_25,skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),X_25) ),
inference(subst,[],[refute_0_19:[bind(W,$fot(X_25)),bind(Y,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_21,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),X_25)
| reachable(skolemFOFtoCNF_Y(initial_world),X_25) ),
inference(subst,[],[refute_0_17:[bind(X_21,$fot(X_25))]]) ).
cnf(refute_0_22,plain,
( definitionFOFtoCNF_0(X_25,skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),X_25) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),X_25) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_22:[bind(X_25,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_24,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_25,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_26,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_26]) ).
cnf(refute_0_28,plain,
( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_27,refute_0_18]) ).
cnf(refute_0_29,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_28,refute_0_8]) ).
cnf(refute_0_30,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_32,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_33,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_32]) ).
cnf(refute_0_34,plain,
( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_33]) ).
cnf(refute_0_35,plain,
( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_34,refute_0_18]) ).
cnf(refute_0_36,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_35,refute_0_2]) ).
cnf(refute_0_37,plain,
( definitionFOFtoCNF_0(X_114,skolemFOFtoCNF_Y(X_113))
| reachable(skolemFOFtoCNF_Y(X_113),X_114) ),
inference(subst,[],[refute_0_19:[bind(W,$fot(X_114)),bind(Y,$fot(skolemFOFtoCNF_Y(X_113)))]]) ).
cnf(refute_0_38,plain,
( ~ p(Z)
| ~ reachable(initial_world,X)
| ~ reachable(skolemFOFtoCNF_Y(X),Z)
| definitionFOFtoCNF_0(W,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_39,plain,
( ~ p(X_114)
| ~ reachable(initial_world,X_113)
| ~ reachable(skolemFOFtoCNF_Y(X_113),X_114)
| definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(X_113)) ),
inference(subst,[],[refute_0_38:[bind(W,$fot(X_112)),bind(X,$fot(X_113)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_40,plain,
( ~ p(X_114)
| ~ reachable(initial_world,X_113)
| definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(X_113))
| definitionFOFtoCNF_0(X_114,skolemFOFtoCNF_Y(X_113)) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(X_113),X_114) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ p(X_909)
| ~ reachable(initial_world,initial_world)
| definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(X_909,skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_40:[bind(X_112,$fot(X_907)),bind(X_113,$fot(initial_world)),bind(X_114,$fot(X_909))]]) ).
cnf(refute_0_42,plain,
( ~ p(X_909)
| definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(X_909,skolemFOFtoCNF_Y(initial_world)) ),
inference(resolve,[$cnf( reachable(initial_world,initial_world) )],[refute_0_11,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_42:[bind(X_909,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_44,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))),bind(X,$fot(initial_world))]]) ).
cnf(refute_0_45,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_17:[bind(X_21,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_46,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_47,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_48,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_47]) ).
cnf(refute_0_49,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),Z)
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),Z) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))),bind(Y,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_51,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),Z)
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),Z) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_34,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_51:[bind(Z,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_53,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_53,refute_0_45]) ).
cnf(refute_0_55,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_54,refute_0_1]) ).
cnf(refute_0_56,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_42:[bind(X_909,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_57,plain,
( definitionFOFtoCNF_0(W,Y)
| p(W) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_58,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_71),skolemFOFtoCNF_Y(X_71))
| p(skolemFOFtoCNF_W(X_71)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_71))),bind(Y,$fot(skolemFOFtoCNF_Y(X_71)))]]) ).
cnf(refute_0_59,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| q(skolemFOFtoCNF_W_1(X)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_60,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_71),skolemFOFtoCNF_Y(X_71))
| ~ reachable(initial_world,X_71)
| p(skolemFOFtoCNF_Z(X_71))
| q(skolemFOFtoCNF_V(X_71))
| q(skolemFOFtoCNF_W_1(X_71)) ),
inference(subst,[],[refute_0_59:[bind(X,$fot(X_71))]]) ).
cnf(refute_0_61,plain,
( ~ reachable(initial_world,X_71)
| p(skolemFOFtoCNF_W(X_71))
| p(skolemFOFtoCNF_Z(X_71))
| q(skolemFOFtoCNF_V(X_71))
| q(skolemFOFtoCNF_W_1(X_71)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_71),skolemFOFtoCNF_Y(X_71)) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_61:[bind(X_71,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_63,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_62]) ).
cnf(refute_0_64,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_102),skolemFOFtoCNF_Y(X_102))
| p(skolemFOFtoCNF_W(X_102)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_102))),bind(Y,$fot(skolemFOFtoCNF_Y(X_102)))]]) ).
cnf(refute_0_65,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| q(skolemFOFtoCNF_V(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_66,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_102),skolemFOFtoCNF_Y(X_102))
| ~ reachable(initial_world,X_102)
| p(skolemFOFtoCNF_Z(X_102))
| q(skolemFOFtoCNF_V(X_102))
| reachable(skolemFOFtoCNF_Y(X_102),skolemFOFtoCNF_W_1(X_102)) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(X_102))]]) ).
cnf(refute_0_67,plain,
( ~ reachable(initial_world,X_102)
| p(skolemFOFtoCNF_W(X_102))
| p(skolemFOFtoCNF_Z(X_102))
| q(skolemFOFtoCNF_V(X_102))
| reachable(skolemFOFtoCNF_Y(X_102),skolemFOFtoCNF_W_1(X_102)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_102),skolemFOFtoCNF_Y(X_102)) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_67:[bind(X_102,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_69,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_69,refute_0_8]) ).
cnf(refute_0_71,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_70]) ).
cnf(refute_0_72,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_63,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))),bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_74,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_103),skolemFOFtoCNF_Y(X_103))
| p(skolemFOFtoCNF_W(X_103)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_103))),bind(Y,$fot(skolemFOFtoCNF_Y(X_103)))]]) ).
cnf(refute_0_75,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_103),skolemFOFtoCNF_Y(X_103))
| ~ reachable(initial_world,X_103)
| p(skolemFOFtoCNF_Z(X_103))
| q(skolemFOFtoCNF_W_1(X_103))
| reachable(skolemFOFtoCNF_Z(X_103),skolemFOFtoCNF_V(X_103)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_103))]]) ).
cnf(refute_0_76,plain,
( ~ reachable(initial_world,X_103)
| p(skolemFOFtoCNF_W(X_103))
| p(skolemFOFtoCNF_Z(X_103))
| q(skolemFOFtoCNF_W_1(X_103))
| reachable(skolemFOFtoCNF_Z(X_103),skolemFOFtoCNF_V(X_103)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_103),skolemFOFtoCNF_Y(X_103)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_76:[bind(X_103,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_78,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_77]) ).
cnf(refute_0_79,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_46),skolemFOFtoCNF_Y(X_46))
| p(skolemFOFtoCNF_W(X_46)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_46))),bind(Y,$fot(skolemFOFtoCNF_Y(X_46)))]]) ).
cnf(refute_0_80,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_46),skolemFOFtoCNF_Y(X_46))
| ~ reachable(initial_world,X_46)
| q(skolemFOFtoCNF_W_1(X_46))
| reachable(skolemFOFtoCNF_Y(X_46),skolemFOFtoCNF_Z(X_46)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_46))]]) ).
cnf(refute_0_81,plain,
( ~ reachable(initial_world,X_46)
| p(skolemFOFtoCNF_W(X_46))
| q(skolemFOFtoCNF_W_1(X_46))
| reachable(skolemFOFtoCNF_Y(X_46),skolemFOFtoCNF_Z(X_46)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_46),skolemFOFtoCNF_Y(X_46)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_81:[bind(X_46,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_83,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),Z)
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),Z) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_83,refute_0_50]) ).
cnf(refute_0_85,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_84:[bind(Z,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_86,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_78,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_86,refute_0_73]) ).
cnf(refute_0_88,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_87]) ).
cnf(refute_0_89,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_72,refute_0_88]) ).
cnf(refute_0_90,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_132),skolemFOFtoCNF_Y(X_132))
| p(skolemFOFtoCNF_W(X_132)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_132))),bind(Y,$fot(skolemFOFtoCNF_Y(X_132)))]]) ).
cnf(refute_0_91,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X),skolemFOFtoCNF_Y(X))
| ~ reachable(initial_world,X)
| p(skolemFOFtoCNF_Z(X))
| reachable(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_W_1(X))
| reachable(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_V(X)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_92,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_132),skolemFOFtoCNF_Y(X_132))
| ~ reachable(initial_world,X_132)
| p(skolemFOFtoCNF_Z(X_132))
| reachable(skolemFOFtoCNF_Y(X_132),skolemFOFtoCNF_W_1(X_132))
| reachable(skolemFOFtoCNF_Z(X_132),skolemFOFtoCNF_V(X_132)) ),
inference(subst,[],[refute_0_91:[bind(X,$fot(X_132))]]) ).
cnf(refute_0_93,plain,
( ~ reachable(initial_world,X_132)
| p(skolemFOFtoCNF_W(X_132))
| p(skolemFOFtoCNF_Z(X_132))
| reachable(skolemFOFtoCNF_Y(X_132),skolemFOFtoCNF_W_1(X_132))
| reachable(skolemFOFtoCNF_Z(X_132),skolemFOFtoCNF_V(X_132)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_132),skolemFOFtoCNF_Y(X_132)) )],[refute_0_90,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_93:[bind(X_132,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_95,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_94]) ).
cnf(refute_0_96,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_52),skolemFOFtoCNF_Y(X_52))
| p(skolemFOFtoCNF_W(X_52)) ),
inference(subst,[],[refute_0_57:[bind(W,$fot(skolemFOFtoCNF_W(X_52))),bind(Y,$fot(skolemFOFtoCNF_Y(X_52)))]]) ).
cnf(refute_0_97,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_52),skolemFOFtoCNF_Y(X_52))
| ~ reachable(initial_world,X_52)
| reachable(skolemFOFtoCNF_Y(X_52),skolemFOFtoCNF_W_1(X_52))
| reachable(skolemFOFtoCNF_Y(X_52),skolemFOFtoCNF_Z(X_52)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(X_52))]]) ).
cnf(refute_0_98,plain,
( ~ reachable(initial_world,X_52)
| p(skolemFOFtoCNF_W(X_52))
| reachable(skolemFOFtoCNF_Y(X_52),skolemFOFtoCNF_W_1(X_52))
| reachable(skolemFOFtoCNF_Y(X_52),skolemFOFtoCNF_Z(X_52)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(X_52),skolemFOFtoCNF_Y(X_52)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_98:[bind(X_52,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_100,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_99]) ).
cnf(refute_0_101,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),Z)
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),Z)
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_100,refute_0_50]) ).
cnf(refute_0_102,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_101:[bind(Z,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_103,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_95,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_103,refute_0_8]) ).
cnf(refute_0_105,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_104]) ).
cnf(refute_0_106,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_89,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_106,refute_0_73]) ).
cnf(refute_0_108,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_107]) ).
cnf(refute_0_109,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_72,refute_0_108]) ).
cnf(refute_0_110,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_100,refute_0_18]) ).
cnf(refute_0_111,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_110,refute_0_8]) ).
cnf(refute_0_112,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_111]) ).
cnf(refute_0_113,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_83,refute_0_18]) ).
cnf(refute_0_114,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_113,refute_0_2]) ).
cnf(refute_0_115,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_38:[bind(W,$fot(X_112)),bind(X,$fot(initial_world)),bind(Z,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_116,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_113,refute_0_115]) ).
cnf(refute_0_117,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,initial_world) )],[refute_0_11,refute_0_116]) ).
cnf(refute_0_118,plain,
( definitionFOFtoCNF_0(X_112,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_109,refute_0_117]) ).
cnf(refute_0_119,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_118:[bind(X_112,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_120,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_119,refute_0_114]) ).
cnf(refute_0_121,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_109,refute_0_120]) ).
cnf(refute_0_122,plain,
( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_121,refute_0_112]) ).
cnf(refute_0_123,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_122,refute_0_2]) ).
cnf(refute_0_124,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| definitionFOFtoCNF_0(X_910,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) ),
inference(subst,[],[refute_0_42:[bind(X_907,$fot(X_910)),bind(X_909,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_125,plain,
( definitionFOFtoCNF_0(X_910,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_109,refute_0_124]) ).
cnf(refute_0_126,plain,
( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_125:[bind(X_910,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_127,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_126,refute_0_123]) ).
cnf(refute_0_128,plain,
p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_109,refute_0_127]) ).
cnf(refute_0_129,plain,
( definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_56]) ).
cnf(refute_0_130,plain,
definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)),
inference(subst,[],[refute_0_129:[bind(X_907,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_131,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_55]) ).
cnf(refute_0_132,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_132,refute_0_44]) ).
cnf(refute_0_134,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,initial_world) )],[refute_0_11,refute_0_133]) ).
cnf(refute_0_135,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_136,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_135]) ).
cnf(refute_0_137,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_136]) ).
cnf(refute_0_138,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_137,refute_0_8]) ).
cnf(refute_0_139,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_59:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_141,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_140]) ).
cnf(refute_0_142,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_141]) ).
cnf(refute_0_143,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_142,refute_0_1]) ).
cnf(refute_0_144,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_143]) ).
cnf(refute_0_145,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_144]) ).
cnf(refute_0_146,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_145,refute_0_139]) ).
cnf(refute_0_147,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_146,refute_0_1]) ).
cnf(refute_0_148,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_147]) ).
cnf(refute_0_149,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_148]) ).
cnf(refute_0_150,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_149,refute_0_134]) ).
cnf(refute_0_151,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| ~ reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))),bind(X,$fot(initial_world))]]) ).
cnf(refute_0_152,plain,
( ~ reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_17:[bind(X_21,$fot(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_153,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_91:[bind(X,$fot(skolemFOFtoCNF_Y(initial_world)))]]) ).
cnf(refute_0_154,plain,
( ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_23,refute_0_153]) ).
cnf(refute_0_155,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_154]) ).
cnf(refute_0_156,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),Z)
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),Z)
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_27,refute_0_50]) ).
cnf(refute_0_157,plain,
( ~ reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(subst,[],[refute_0_156:[bind(Z,$fot(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_158,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_155,refute_0_157]) ).
cnf(refute_0_159,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_158,refute_0_152]) ).
cnf(refute_0_160,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,skolemFOFtoCNF_Y(initial_world))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_159,refute_0_73]) ).
cnf(refute_0_161,plain,
( ~ q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,skolemFOFtoCNF_Y(initial_world)) )],[refute_0_13,refute_0_160]) ).
cnf(refute_0_162,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_V(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_149,refute_0_161]) ).
cnf(refute_0_163,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| ~ reachable(initial_world,initial_world)
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_162,refute_0_151]) ).
cnf(refute_0_164,plain,
( ~ q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(initial_world,initial_world) )],[refute_0_11,refute_0_163]) ).
cnf(refute_0_165,plain,
( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_150,refute_0_164]) ).
cnf(refute_0_166,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_165,refute_0_1]) ).
cnf(refute_0_167,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_166]) ).
cnf(refute_0_168,plain,
p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_167]) ).
cnf(refute_0_169,plain,
( definitionFOFtoCNF_0(X_907,skolemFOFtoCNF_Y(initial_world))
| definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_168,refute_0_43]) ).
cnf(refute_0_170,plain,
definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)),
inference(subst,[],[refute_0_169:[bind(X_907,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))))]]) ).
cnf(refute_0_171,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_170,refute_0_36]) ).
cnf(refute_0_172,plain,
( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_172,refute_0_1]) ).
cnf(refute_0_174,plain,
( ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_173]) ).
cnf(refute_0_175,plain,
q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_174]) ).
cnf(refute_0_176,plain,
( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_W_1(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_175,refute_0_30]) ).
cnf(refute_0_177,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_176,refute_0_2]) ).
cnf(refute_0_178,plain,
( ~ p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)))
| reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_170,refute_0_177]) ).
cnf(refute_0_179,plain,
reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_168,refute_0_178]) ).
cnf(refute_0_180,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world))
| ~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) ),
inference(resolve,[$cnf( reachable(skolemFOFtoCNF_Y(initial_world),skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_179,refute_0_1]) ).
cnf(refute_0_181,plain,
~ p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world)),skolemFOFtoCNF_Y(initial_world)) )],[refute_0_130,refute_0_180]) ).
cnf(refute_0_182,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_W(skolemFOFtoCNF_Y(initial_world))) )],[refute_0_128,refute_0_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:24:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 45.33/45.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.33/45.55
% 45.33/45.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 45.40/45.56
%------------------------------------------------------------------------------