%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG011^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:24 AM UTC 2026
% Result : Theorem 0.54s 0.36s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 43
% Syntax : Number of formulae : 465 ( 115 unt; 0 typ; 40 def)
% Number of atoms : 6298 (1480 equ; 0 cnn)
% Maximal formula atoms : 7 ( 13 avg)
% Number of connectives : 14731 (4264 ~;2632 |; 140 &;7575 @)
% ( 0 <=>; 120 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 76 ( 73 usr; 12 con; 0-4 aty)
% Number of variables : 2263 ( 71 ^;2141 !; 51 ?;2263 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_reg,type,
reg: $tType ).
thf(tp_a,type,
a: $i > $i > $o ).
thf(tp_c,type,
c: reg > reg > $o ).
thf(tp_catalunya,type,
catalunya: reg ).
thf(tp_dc,type,
dc: reg > reg > $o ).
thf(tp_ec,type,
ec: reg > reg > $o ).
thf(tp_eq,type,
eq: reg > reg > $o ).
thf(tp_fool,type,
fool: $i > $i > $o ).
thf(tp_france,type,
france: reg ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_ntpp,type,
ntpp: reg > reg > $o ).
thf(tp_o,type,
o: reg > reg > $o ).
thf(tp_p,type,
p: reg > reg > $o ).
thf(tp_paris,type,
paris: reg ).
thf(tp_po,type,
po: reg > reg > $o ).
thf(tp_pp,type,
pp: reg > reg > $o ).
thf(tp_sK10_SY485,type,
sK10_SY485: $i > $i > reg > reg ).
thf(tp_sK11_SY477,type,
sK11_SY477: reg > reg ).
thf(tp_sK12_SY477,type,
sK12_SY477: reg > reg ).
thf(tp_sK13_SY503,type,
sK13_SY503: $i > $i > reg > reg ).
thf(tp_sK14_SY505,type,
sK14_SY505: $i > $i > reg > reg ).
thf(tp_sK15_SY491,type,
sK15_SY491: reg > reg ).
thf(tp_sK16_SY497,type,
sK16_SY497: reg > reg ).
thf(tp_sK17_SY504,type,
sK17_SY504: $i > $i > reg > reg ).
thf(tp_sK18_SY506,type,
sK18_SY506: $i > $i > reg > reg ).
thf(tp_sK19_SY504,type,
sK19_SY504: $i > $i > reg > reg ).
thf(tp_sK1_SY148,type,
sK1_SY148: $i ).
thf(tp_sK20_SY506,type,
sK20_SY506: $i > $i > reg > reg ).
thf(tp_sK21_SY488,type,
sK21_SY488: $i > $i > reg > reg > reg ).
thf(tp_sK22_SY488,type,
sK22_SY488: $i > $i > reg > reg > reg ).
thf(tp_sK23_SY494,type,
sK23_SY494: reg > reg > reg ).
thf(tp_sK24_SY494,type,
sK24_SY494: reg > reg > reg ).
thf(tp_sK25_SY500,type,
sK25_SY500: reg > reg > reg ).
thf(tp_sK26_SY500,type,
sK26_SY500: reg > reg > reg ).
thf(tp_sK2_SY372,type,
sK2_SY372: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: reg ).
thf(tp_sK4_SX2,type,
sK4_SX2: $i > $i > reg ).
thf(tp_sK5_SY475,type,
sK5_SY475: reg ).
thf(tp_sK6_SX2,type,
sK6_SX2: $i > $i > reg ).
thf(tp_sK7_SX2,type,
sK7_SX2: $i > $i > reg ).
thf(tp_sK8_SY458,type,
sK8_SY458: reg ).
thf(tp_sK9_SY467,type,
sK9_SY467: reg ).
thf(tp_spain,type,
spain: reg ).
thf(tp_tpp,type,
tpp: reg > reg > $o ).
thf(dc,definition,
( dc
= ( ^ [X: reg,Y: reg] :
~ ( c @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc) ).
thf(ec,definition,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec) ).
thf(eq,definition,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reg_type) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(ntpp,definition,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp) ).
thf(o,definition,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ X )
& ( p @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o) ).
thf(p,definition,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p) ).
thf(po,definition,
( po
= ( ^ [X: reg,Y: reg] :
( ( o @ X @ Y )
& ~ ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',po) ).
thf(pp,definition,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp) ).
thf(tpp,definition,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp) ).
thf(1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(9,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
! [Z: reg] :
( ( ( ntpp @ france @ Z )
& ( ntpp @ spain @ Z ) )
=> ( ( pp @ paris @ Z )
& ( pp @ catalunya @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
! [Z: reg] :
( ( ( ntpp @ france @ Z )
& ( ntpp @ spain @ Z ) )
=> ( ( pp @ paris @ Z )
& ( pp @ catalunya @ Z ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [SY148: $i,SY149: $i] :
( ~ ( a @ SY148 @ SY149 )
| ! [SY4: reg] :
( ( ! [SY46: reg] :
( ( c @ SY46 @ france )
=> ( c @ SY46 @ SY4 ) )
& ~ ! [SY47: reg] :
( ( c @ SY47 @ SY4 )
=> ( c @ SY47 @ france ) )
& ~ ? [SY48: reg] :
( ( c @ SY48 @ france )
& ~ ? [SY28: reg] :
( ! [SY21: reg] :
( ( c @ SY21 @ SY28 )
=> ( c @ SY21 @ SY48 ) )
& ! [SY30: reg] :
( ( c @ SY30 @ SY28 )
=> ( c @ SY30 @ france ) ) )
& ( c @ SY48 @ SY4 )
& ~ ? [SY52: reg] :
( ! [SY36: reg] :
( ( c @ SY36 @ SY52 )
=> ( c @ SY36 @ SY48 ) )
& ! [SY54: reg] :
( ( c @ SY54 @ SY52 )
=> ( c @ SY54 @ SY4 ) ) ) )
& ! [SY96: reg] :
( ( c @ SY96 @ spain )
=> ( c @ SY96 @ SY4 ) )
& ~ ! [SY97: reg] :
( ( c @ SY97 @ SY4 )
=> ( c @ SY97 @ spain ) )
& ~ ? [SY98: reg] :
( ( c @ SY98 @ spain )
& ~ ? [SY78: reg] :
( ! [SY71: reg] :
( ( c @ SY71 @ SY78 )
=> ( c @ SY71 @ SY98 ) )
& ! [SY80: reg] :
( ( c @ SY80 @ SY78 )
=> ( c @ SY80 @ spain ) ) )
& ( c @ SY98 @ SY4 )
& ~ ? [SY102: reg] :
( ! [SY86: reg] :
( ( c @ SY86 @ SY102 )
=> ( c @ SY86 @ SY98 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ SY4 ) ) ) ) )
=> ( ! [SY112: reg] :
( ( c @ SY112 @ paris )
=> ( c @ SY112 @ SY4 ) )
& ~ ! [SY113: reg] :
( ( c @ SY113 @ SY4 )
=> ( c @ SY113 @ paris ) )
& ! [SY121: reg] :
( ( c @ SY121 @ catalunya )
=> ( c @ SY121 @ SY4 ) )
& ~ ! [SY122: reg] :
( ( c @ SY122 @ SY4 )
=> ( c @ SY122 @ catalunya ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(12,plain,
( ( ! [SY263: $i,SY264: $i] :
( ~ ( a @ SY263 @ SY264 )
| ( ! [SY243: reg] :
( ( c @ SY243 @ paris )
=> ( c @ SY243 @ france ) )
& ~ ! [SY244: reg] :
( ( c @ SY244 @ france )
=> ( c @ SY244 @ paris ) )
& ~ ? [SY245: reg] :
( ( c @ SY245 @ paris )
& ~ ? [SY225: reg] :
( ! [SY218: reg] :
( ( c @ SY218 @ SY225 )
=> ( c @ SY218 @ SY245 ) )
& ! [SY227: reg] :
( ( c @ SY227 @ SY225 )
=> ( c @ SY227 @ paris ) ) )
& ( c @ SY245 @ france )
& ~ ? [SY249: reg] :
( ! [SY233: reg] :
( ( c @ SY233 @ SY249 )
=> ( c @ SY233 @ SY245 ) )
& ! [SY251: reg] :
( ( c @ SY251 @ SY249 )
=> ( c @ SY251 @ france ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(13,plain,
( ( ! [SY350: $i,SY351: $i] :
( ~ ( a @ SY350 @ SY351 )
| ( ! [SY330: reg] :
( ( c @ SY330 @ catalunya )
=> ( c @ SY330 @ spain ) )
& ~ ! [SY331: reg] :
( ( c @ SY331 @ spain )
=> ( c @ SY331 @ catalunya ) )
& ? [SY332: reg] :
( ( c @ SY332 @ catalunya )
& ~ ? [SY312: reg] :
( ! [SY305: reg] :
( ( c @ SY305 @ SY312 )
=> ( c @ SY305 @ SY332 ) )
& ! [SY314: reg] :
( ( c @ SY314 @ SY312 )
=> ( c @ SY314 @ catalunya ) ) )
& ( c @ SY332 @ spain )
& ~ ? [SY336: reg] :
( ! [SY320: reg] :
( ( c @ SY320 @ SY336 )
=> ( c @ SY320 @ SY332 ) )
& ! [SY338: reg] :
( ( c @ SY338 @ SY336 )
=> ( c @ SY338 @ spain ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(14,plain,
( ( ! [SY372: $i] :
( ~ ( a @ sK1_SY148 @ SY372 )
| ! [SY4: reg] :
( ( ! [SY46: reg] :
( ( c @ SY46 @ france )
=> ( c @ SY46 @ SY4 ) )
& ~ ! [SY47: reg] :
( ( c @ SY47 @ SY4 )
=> ( c @ SY47 @ france ) )
& ~ ? [SY48: reg] :
( ( c @ SY48 @ france )
& ~ ? [SY28: reg] :
( ! [SY21: reg] :
( ( c @ SY21 @ SY28 )
=> ( c @ SY21 @ SY48 ) )
& ! [SY30: reg] :
( ( c @ SY30 @ SY28 )
=> ( c @ SY30 @ france ) ) )
& ( c @ SY48 @ SY4 )
& ~ ? [SY52: reg] :
( ! [SY36: reg] :
( ( c @ SY36 @ SY52 )
=> ( c @ SY36 @ SY48 ) )
& ! [SY54: reg] :
( ( c @ SY54 @ SY52 )
=> ( c @ SY54 @ SY4 ) ) ) )
& ! [SY96: reg] :
( ( c @ SY96 @ spain )
=> ( c @ SY96 @ SY4 ) )
& ~ ! [SY97: reg] :
( ( c @ SY97 @ SY4 )
=> ( c @ SY97 @ spain ) )
& ~ ? [SY98: reg] :
( ( c @ SY98 @ spain )
& ~ ? [SY78: reg] :
( ! [SY71: reg] :
( ( c @ SY71 @ SY78 )
=> ( c @ SY71 @ SY98 ) )
& ! [SY80: reg] :
( ( c @ SY80 @ SY78 )
=> ( c @ SY80 @ spain ) ) )
& ( c @ SY98 @ SY4 )
& ~ ? [SY102: reg] :
( ! [SY86: reg] :
( ( c @ SY86 @ SY102 )
=> ( c @ SY86 @ SY98 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ SY4 ) ) ) ) )
=> ( ! [SY112: reg] :
( ( c @ SY112 @ paris )
=> ( c @ SY112 @ SY4 ) )
& ~ ! [SY113: reg] :
( ( c @ SY113 @ SY4 )
=> ( c @ SY113 @ paris ) )
& ! [SY121: reg] :
( ( c @ SY121 @ catalunya )
=> ( c @ SY121 @ SY4 ) )
& ~ ! [SY122: reg] :
( ( c @ SY122 @ SY4 )
=> ( c @ SY122 @ catalunya ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(15,plain,
( ( ~ ( a @ sK1_SY148 @ sK2_SY372 )
| ! [SY4: reg] :
( ( ! [SY46: reg] :
( ( c @ SY46 @ france )
=> ( c @ SY46 @ SY4 ) )
& ~ ! [SY47: reg] :
( ( c @ SY47 @ SY4 )
=> ( c @ SY47 @ france ) )
& ~ ? [SY48: reg] :
( ( c @ SY48 @ france )
& ~ ? [SY28: reg] :
( ! [SY21: reg] :
( ( c @ SY21 @ SY28 )
=> ( c @ SY21 @ SY48 ) )
& ! [SY30: reg] :
( ( c @ SY30 @ SY28 )
=> ( c @ SY30 @ france ) ) )
& ( c @ SY48 @ SY4 )
& ~ ? [SY52: reg] :
( ! [SY36: reg] :
( ( c @ SY36 @ SY52 )
=> ( c @ SY36 @ SY48 ) )
& ! [SY54: reg] :
( ( c @ SY54 @ SY52 )
=> ( c @ SY54 @ SY4 ) ) ) )
& ! [SY96: reg] :
( ( c @ SY96 @ spain )
=> ( c @ SY96 @ SY4 ) )
& ~ ! [SY97: reg] :
( ( c @ SY97 @ SY4 )
=> ( c @ SY97 @ spain ) )
& ~ ? [SY98: reg] :
( ( c @ SY98 @ spain )
& ~ ? [SY78: reg] :
( ! [SY71: reg] :
( ( c @ SY71 @ SY78 )
=> ( c @ SY71 @ SY98 ) )
& ! [SY80: reg] :
( ( c @ SY80 @ SY78 )
=> ( c @ SY80 @ spain ) ) )
& ( c @ SY98 @ SY4 )
& ~ ? [SY102: reg] :
( ! [SY86: reg] :
( ( c @ SY86 @ SY102 )
=> ( c @ SY86 @ SY98 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ SY4 ) ) ) ) )
=> ( ! [SY112: reg] :
( ( c @ SY112 @ paris )
=> ( c @ SY112 @ SY4 ) )
& ~ ! [SY113: reg] :
( ( c @ SY113 @ SY4 )
=> ( c @ SY113 @ paris ) )
& ! [SY121: reg] :
( ( c @ SY121 @ catalunya )
=> ( c @ SY121 @ SY4 ) )
& ~ ! [SY122: reg] :
( ( c @ SY122 @ SY4 )
=> ( c @ SY122 @ catalunya ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ~ ( ~ ( a @ sK1_SY148 @ sK2_SY372 )
| ! [SY4: reg] :
( ( ! [SY46: reg] :
( ( c @ SY46 @ france )
=> ( c @ SY46 @ SY4 ) )
& ~ ! [SY47: reg] :
( ( c @ SY47 @ SY4 )
=> ( c @ SY47 @ france ) )
& ~ ? [SY48: reg] :
( ( c @ SY48 @ france )
& ~ ? [SY28: reg] :
( ! [SY21: reg] :
( ( c @ SY21 @ SY28 )
=> ( c @ SY21 @ SY48 ) )
& ! [SY30: reg] :
( ( c @ SY30 @ SY28 )
=> ( c @ SY30 @ france ) ) )
& ( c @ SY48 @ SY4 )
& ~ ? [SY52: reg] :
( ! [SY36: reg] :
( ( c @ SY36 @ SY52 )
=> ( c @ SY36 @ SY48 ) )
& ! [SY54: reg] :
( ( c @ SY54 @ SY52 )
=> ( c @ SY54 @ SY4 ) ) ) )
& ! [SY96: reg] :
( ( c @ SY96 @ spain )
=> ( c @ SY96 @ SY4 ) )
& ~ ! [SY97: reg] :
( ( c @ SY97 @ SY4 )
=> ( c @ SY97 @ spain ) )
& ~ ? [SY98: reg] :
( ( c @ SY98 @ spain )
& ~ ? [SY78: reg] :
( ! [SY71: reg] :
( ( c @ SY71 @ SY78 )
=> ( c @ SY71 @ SY98 ) )
& ! [SY80: reg] :
( ( c @ SY80 @ SY78 )
=> ( c @ SY80 @ spain ) ) )
& ( c @ SY98 @ SY4 )
& ~ ? [SY102: reg] :
( ! [SY86: reg] :
( ( c @ SY86 @ SY102 )
=> ( c @ SY86 @ SY98 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ SY4 ) ) ) ) )
=> ( ! [SY112: reg] :
( ( c @ SY112 @ paris )
=> ( c @ SY112 @ SY4 ) )
& ~ ! [SY113: reg] :
( ( c @ SY113 @ SY4 )
=> ( c @ SY113 @ paris ) )
& ! [SY121: reg] :
( ( c @ SY121 @ catalunya )
=> ( c @ SY121 @ SY4 ) )
& ~ ! [SY122: reg] :
( ( c @ SY122 @ SY4 )
=> ( c @ SY122 @ catalunya ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [SY350: $i,SY351: $i] :
( ~ ( a @ SY350 @ SY351 )
| ( ! [SY330: reg] :
( ( c @ SY330 @ catalunya )
=> ( c @ SY330 @ spain ) )
& ~ ! [SY331: reg] :
( ( c @ SY331 @ spain )
=> ( c @ SY331 @ catalunya ) )
& ? [SY332: reg] :
( ( c @ SY332 @ catalunya )
& ~ ? [SY312: reg] :
( ! [SY305: reg] :
( ( c @ SY305 @ SY312 )
=> ( c @ SY305 @ SY332 ) )
& ! [SY314: reg] :
( ( c @ SY314 @ SY312 )
=> ( c @ SY314 @ catalunya ) ) )
& ( c @ SY332 @ spain )
& ~ ? [SY336: reg] :
( ! [SY320: reg] :
( ( c @ SY320 @ SY336 )
=> ( c @ SY320 @ SY332 ) )
& ! [SY338: reg] :
( ( c @ SY338 @ SY336 )
=> ( c @ SY338 @ spain ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [SY263: $i,SY264: $i] :
( ~ ( a @ SY263 @ SY264 )
| ( ! [SY243: reg] :
( ( c @ SY243 @ paris )
=> ( c @ SY243 @ france ) )
& ~ ! [SY244: reg] :
( ( c @ SY244 @ france )
=> ( c @ SY244 @ paris ) )
& ~ ? [SY245: reg] :
( ( c @ SY245 @ paris )
& ~ ? [SY225: reg] :
( ! [SY218: reg] :
( ( c @ SY218 @ SY225 )
=> ( c @ SY218 @ SY245 ) )
& ! [SY227: reg] :
( ( c @ SY227 @ SY225 )
=> ( c @ SY227 @ paris ) ) )
& ( c @ SY245 @ france )
& ~ ? [SY249: reg] :
( ! [SY233: reg] :
( ( c @ SY233 @ SY249 )
=> ( c @ SY233 @ SY245 ) )
& ! [SY251: reg] :
( ( c @ SY251 @ SY249 )
=> ( c @ SY251 @ france ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( ~ ( ~ ( a @ sK1_SY148 @ sK2_SY372 )
| ! [SY4: reg] :
( ( ! [SY46: reg] :
( ( c @ SY46 @ france )
=> ( c @ SY46 @ SY4 ) )
& ~ ! [SY47: reg] :
( ( c @ SY47 @ SY4 )
=> ( c @ SY47 @ france ) )
& ~ ? [SY48: reg] :
( ( c @ SY48 @ france )
& ~ ? [SY28: reg] :
( ! [SY21: reg] :
( ( c @ SY21 @ SY28 )
=> ( c @ SY21 @ SY48 ) )
& ! [SY30: reg] :
( ( c @ SY30 @ SY28 )
=> ( c @ SY30 @ france ) ) )
& ( c @ SY48 @ SY4 )
& ~ ? [SY52: reg] :
( ! [SY36: reg] :
( ( c @ SY36 @ SY52 )
=> ( c @ SY36 @ SY48 ) )
& ! [SY54: reg] :
( ( c @ SY54 @ SY52 )
=> ( c @ SY54 @ SY4 ) ) ) )
& ! [SY96: reg] :
( ( c @ SY96 @ spain )
=> ( c @ SY96 @ SY4 ) )
& ~ ! [SY97: reg] :
( ( c @ SY97 @ SY4 )
=> ( c @ SY97 @ spain ) )
& ~ ? [SY98: reg] :
( ( c @ SY98 @ spain )
& ~ ? [SY78: reg] :
( ! [SY71: reg] :
( ( c @ SY71 @ SY78 )
=> ( c @ SY71 @ SY98 ) )
& ! [SY80: reg] :
( ( c @ SY80 @ SY78 )
=> ( c @ SY80 @ spain ) ) )
& ( c @ SY98 @ SY4 )
& ~ ? [SY102: reg] :
( ! [SY86: reg] :
( ( c @ SY86 @ SY102 )
=> ( c @ SY86 @ SY98 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ SY4 ) ) ) ) )
=> ( ! [SY112: reg] :
( ( c @ SY112 @ paris )
=> ( c @ SY112 @ SY4 ) )
& ~ ! [SY113: reg] :
( ( c @ SY113 @ SY4 )
=> ( c @ SY113 @ paris ) )
& ! [SY121: reg] :
( ( c @ SY121 @ catalunya )
=> ( c @ SY121 @ SY4 ) )
& ~ ! [SY122: reg] :
( ( c @ SY122 @ SY4 )
=> ( c @ SY122 @ catalunya ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(21,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(22,plain,
( ( ~ ( ~ ( a @ sK1_SY148 @ sK2_SY372 )
| ! [SX0: reg] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ france )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ paris )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) )
| ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ catalunya )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(23,plain,
! [SV1: $i] :
( ( ! [SY419: $i] :
( ~ ( a @ SV1 @ SY419 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i] :
( ( ! [SY429: $i] :
( ~ ( a @ SV2 @ SY429 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( a @ sK1_SY148 @ sK2_SY372 )
| ! [SX0: reg] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ france )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ paris )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) )
| ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ catalunya )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( a @ SV1 @ SV3 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( a @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( a @ sK1_SY148 @ sK2_SY372 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [SX0: reg] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ france )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX1 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX1 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SX0 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ paris )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) )
| ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ catalunya )
| ( c @ SX1 @ SX0 ) )
| ~ ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( a @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( a @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( a @ sK1_SY148 @ sK2_SY372 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
| ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(34,plain,
! [SV3: $i,SV1: $i] :
( ( ( a @ SV1 @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV4: $i,SV2: $i] :
( ( ( a @ SV2 @ SV4 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ( ~ ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
| ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
| ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
| ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ~ ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(53,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ( ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ catalunya )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ spain )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(60,plain,
( ( ~ ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) )
| ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(65,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(66,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(68,plain,
( ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
| ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(69,plain,
( ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
| ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(70,plain,
( ( ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) ) )
= $true )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(74,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(75,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(77,plain,
( ( ~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(78,plain,
( ( ~ ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(79,plain,
( ( ~ ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
( ( ~ ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(81,plain,
( ( ( ! [SY475: reg] :
( ~ ( c @ SY475 @ paris )
| ( c @ SY475 @ sK3_SX0 ) ) )
= $false )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV3: $i,SV1: $i,SV6: reg] :
( ( ( ~ ( c @ SV6 @ catalunya )
| ( c @ SV6 @ spain ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(85,plain,
! [SV4: $i,SV2: $i,SV7: reg] :
( ( ( ~ ( c @ SV7 @ paris )
| ( c @ SV7 @ france ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(86,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(87,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ( ~ ~ ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
( ( ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(89,plain,
( ( ~ ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(90,plain,
( ( ~ ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(91,plain,
( ( ~ ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(92,plain,
( ( ( ~ ( c @ sK5_SY475 @ paris )
| ( c @ sK5_SY475 @ sK3_SX0 ) )
= $false )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(93,plain,
! [SV3: $i,SV1: $i,SV6: reg] :
( ( ( ~ ( c @ SV6 @ catalunya ) )
= $true )
| ( ( c @ SV6 @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV3 @ SV1 ) @ spain )
| ( c @ ( sK6_SX2 @ SV3 @ SV1 ) @ catalunya ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(95,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV4: $i,SV2: $i,SV7: reg] :
( ( ( ~ ( c @ SV7 @ paris ) )
= $true )
| ( ( c @ SV7 @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK7_SX2 @ SV4 @ SV2 ) @ france )
| ( c @ ( sK7_SX2 @ SV4 @ SV2 ) @ paris ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(99,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ~ ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(100,plain,
( ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) )
| ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
( ( ~ ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(102,plain,
( ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) )
| ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
( ( ~ ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(104,plain,
( ( ( ~ ( c @ sK5_SY475 @ paris ) )
= $false )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(105,plain,
( ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(106,plain,
! [SV3: $i,SV1: $i,SV6: reg] :
( ( ( c @ SV6 @ catalunya )
= $false )
| ( ( c @ SV6 @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(107,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV3 @ SV1 ) @ spain ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(108,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK6_SX2 @ SV3 @ SV1 ) @ catalunya )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(110,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(111,plain,
! [SV4: $i,SV2: $i,SV7: reg] :
( ( ( c @ SV7 @ paris )
= $false )
| ( ( c @ SV7 @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK7_SX2 @ SV4 @ SV2 ) @ france ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(113,plain,
! [SV2: $i,SV4: $i] :
( ( ( c @ ( sK7_SX2 @ SV4 @ SV2 ) @ paris )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(114,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ~ ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(115,plain,
( ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(116,plain,
( ( ~ ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(117,plain,
( ( ! [SY459: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY459 @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SY459 @ sK3_SX0 )
| ~ ~ ~ ! [SY463: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY463 )
| ( c @ SX3 @ SY459 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY463 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(118,plain,
( ( ~ ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(119,plain,
( ( ~ ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(120,plain,
( ( ! [SY468: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SY468 @ spain )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SY468 @ sK3_SX0 )
| ~ ~ ~ ! [SY472: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY472 )
| ( c @ SX3 @ SY468 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY472 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(121,plain,
( ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(122,plain,
( ( ( ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK6_SX2 @ SV3 @ SV1 ) @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(124,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(125,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(126,plain,
! [SV2: $i,SV4: $i] :
( ( ( c @ ( sK7_SX2 @ SV4 @ SV2 ) @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(127,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(128,plain,
( ( ! [SY457: reg] :
( ~ ( c @ SY457 @ france )
| ( c @ SY457 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(129,plain,
( ( ~ ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(130,plain,
! [SV8: reg] :
( ( ~ ~ ( ~ ~ ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(131,plain,
( ( ! [SY466: reg] :
( ~ ( c @ SY466 @ spain )
| ( c @ SY466 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(132,plain,
( ( ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(133,plain,
! [SV9: reg] :
( ( ~ ~ ( ~ ~ ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(134,plain,
( ( ( ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(135,plain,
( ( ( ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(136,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(137,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(138,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(139,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ( c @ SV5 @ paris )
| ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(141,plain,
! [SV10: reg] :
( ( ~ ( c @ SV10 @ france )
| ( c @ SV10 @ sK3_SX0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(142,plain,
( ( ! [SY458: reg] :
( ~ ( c @ SY458 @ sK3_SX0 )
| ( c @ SY458 @ france ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(143,plain,
! [SV8: reg] :
( ( ~ ( ~ ~ ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(144,plain,
! [SV11: reg] :
( ( ~ ( c @ SV11 @ spain )
| ( c @ SV11 @ sK3_SX0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(145,plain,
( ( ! [SY467: reg] :
( ~ ( c @ SY467 @ sK3_SX0 )
| ( c @ SY467 @ spain ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(146,plain,
! [SV9: reg] :
( ( ~ ( ~ ~ ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(147,plain,
( ( ( ! [SY476: reg] :
( ~ ( c @ SY476 @ sK3_SX0 )
| ( c @ SY476 @ paris ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(148,plain,
! [SV12: reg] :
( ( ( ~ ( c @ SV12 @ sK3_SX0 )
| ( c @ SV12 @ paris ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(150,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(151,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(152,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(153,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ( c @ SV5 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(154,plain,
! [SV10: reg] :
( ( ( ~ ( c @ SV10 @ france ) )
= $true )
| ( ( c @ SV10 @ sK3_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(155,plain,
( ( ~ ( c @ sK8_SY458 @ sK3_SX0 )
| ( c @ sK8_SY458 @ france ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(156,plain,
! [SV8: reg] :
( ( ~ ~ ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
| ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV11: reg] :
( ( ( ~ ( c @ SV11 @ spain ) )
= $true )
| ( ( c @ SV11 @ sK3_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(158,plain,
( ( ~ ( c @ sK9_SY467 @ sK3_SX0 )
| ( c @ sK9_SY467 @ spain ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(159,plain,
! [SV9: reg] :
( ( ~ ~ ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
| ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(160,plain,
! [SV13: reg] :
( ( ( ~ ( c @ SV13 @ sK3_SX0 )
| ( c @ SV13 @ paris ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(161,plain,
! [SV12: reg] :
( ( ( ~ ( c @ SV12 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(162,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(163,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV10: reg] :
( ( ( c @ SV10 @ france )
= $false )
| ( ( c @ SV10 @ sK3_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
( ( ~ ( c @ sK8_SY458 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
( ( c @ sK8_SY458 @ france )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(168,plain,
! [SV8: reg] :
( ( ( ~ ~ ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV11: reg] :
( ( ( c @ SV11 @ spain )
= $false )
| ( ( c @ SV11 @ sK3_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(170,plain,
( ( ~ ( c @ sK9_SY467 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(171,plain,
( ( c @ sK9_SY467 @ spain )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(172,plain,
! [SV9: reg] :
( ( ( ~ ~ ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(173,plain,
! [SV13: reg] :
( ( ( ~ ( c @ SV13 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV12: reg] :
( ( ( c @ SV12 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV1: $i,SV3: $i] :
( ( ( ! [SY479: reg] :
~ ~ ( ~ ! [SY480: reg] :
( ~ ( c @ SY480 @ SY479 )
| ( c @ SY480 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY479 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(176,plain,
! [SV1: $i,SV3: $i] :
( ( ( ! [SY482: reg] :
~ ~ ( ~ ! [SY483: reg] :
( ~ ( c @ SY483 @ SY482 )
| ( c @ SY483 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY482 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(177,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(178,plain,
( ( c @ sK8_SY458 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(179,plain,
! [SV8: reg] :
( ( ( ~ ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(180,plain,
( ( c @ sK9_SY467 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(181,plain,
! [SV9: reg] :
( ( ( ~ ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(182,plain,
! [SV13: reg] :
( ( ( c @ SV13 @ sK3_SX0 )
= $false )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV12: reg] :
( ( ( ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(184,plain,
! [SV1: $i,SV3: $i,SV14: reg] :
( ( ( ~ ~ ( ~ ! [SY503: reg] :
( ~ ( c @ SY503 @ SV14 )
| ( c @ SY503 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(185,plain,
! [SV1: $i,SV3: $i,SV15: reg] :
( ( ( ~ ~ ( ~ ! [SY505: reg] :
( ~ ( c @ SY505 @ SV15 )
| ( c @ SY505 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(186,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ~ ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(187,plain,
! [SV8: reg] :
( ( ( ~ ( c @ SV8 @ france )
| ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(188,plain,
! [SV9: reg] :
( ( ( ~ ( c @ SV9 @ spain )
| ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(189,plain,
! [SV13: reg] :
( ( ( ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) ) )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(190,plain,
! [SV12: reg] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(191,plain,
! [SV1: $i,SV3: $i,SV14: reg] :
( ( ( ~ ( ~ ! [SY503: reg] :
( ~ ( c @ SY503 @ SV14 )
| ( c @ SY503 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV1: $i,SV3: $i,SV15: reg] :
( ( ( ~ ( ~ ! [SY505: reg] :
( ~ ( c @ SY505 @ SV15 )
| ( c @ SY505 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV4: $i,SV2: $i,SV5: reg] :
( ( ( ! [SY485: reg] :
~ ~ ( ~ ! [SY486: reg] :
( ~ ( c @ SY486 @ SY485 )
| ( c @ SY486 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY485 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(194,plain,
! [SV8: reg] :
( ( ( ~ ( c @ SV8 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(195,plain,
! [SV9: reg] :
( ( ( ~ ( c @ SV9 @ spain ) )
= $true )
| ( ( ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(196,plain,
! [SV13: reg] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) )
| ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(197,plain,
! [SV12: reg] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) ) )
= $true )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(198,plain,
! [SV1: $i,SV3: $i,SV14: reg] :
( ( ( ~ ! [SY503: reg] :
( ~ ( c @ SY503 @ SV14 )
| ( c @ SY503 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(199,plain,
! [SV1: $i,SV3: $i,SV15: reg] :
( ( ( ~ ! [SY505: reg] :
( ~ ( c @ SY505 @ SV15 )
| ( c @ SY505 @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(200,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY507: reg] :
( ~ ( c @ SY507 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY507 @ SV5 ) )
| ~ ! [SY508: reg] :
( ~ ( c @ SY508 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY508 @ paris ) ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[193]) ).
thf(201,plain,
! [SV8: reg] :
( ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV9: reg] :
( ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV13: reg] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) ) )
= $true )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(204,plain,
! [SV12: reg] :
( ( ( ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(205,plain,
! [SV1: $i,SV3: $i,SV14: reg] :
( ( ( ~ ! [SY503: reg] :
( ~ ( c @ SY503 @ SV14 )
| ( c @ SY503 @ ( sK4_SX2 @ SV3 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(206,plain,
! [SV1: $i,SV3: $i,SV15: reg] :
( ( ( ~ ! [SY505: reg] :
( ~ ( c @ SY505 @ SV15 )
| ( c @ SY505 @ ( sK4_SX2 @ SV3 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SY507: reg] :
( ~ ( c @ SY507 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY507 @ SV5 ) )
| ~ ! [SY508: reg] :
( ~ ( c @ SY508 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY508 @ paris ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(208,plain,
! [SV8: reg] :
( ( ( ~ ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(209,plain,
! [SV9: reg] :
( ( ( ~ ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(210,plain,
! [SV13: reg] :
( ( ( ! [SY477: reg] :
( ~ ( c @ SY477 @ catalunya )
| ( c @ SY477 @ sK3_SX0 ) ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(211,plain,
! [SV12: reg] :
( ( ( ~ ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
| ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[204]) ).
thf(212,plain,
! [SV1: $i,SV3: $i,SV14: reg] :
( ( ( ! [SY503: reg] :
( ~ ( c @ SY503 @ SV14 )
| ( c @ SY503 @ ( sK4_SX2 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(213,plain,
! [SV1: $i,SV3: $i,SV15: reg] :
( ( ( ! [SY505: reg] :
( ~ ( c @ SY505 @ SV15 )
| ( c @ SY505 @ ( sK4_SX2 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(214,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY507: reg] :
( ~ ( c @ SY507 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY507 @ SV5 ) )
| ~ ! [SY508: reg] :
( ~ ( c @ SY508 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY508 @ paris ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(215,plain,
! [SV8: reg] :
( ( ( ~ ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(216,plain,
! [SV9: reg] :
( ( ( ~ ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(217,plain,
! [SV13: reg] :
( ( ( ~ ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
| ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(218,plain,
! [SV12: reg] :
( ( ( ~ ( c @ ( sK11_SY477 @ SV12 ) @ catalunya ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(219,plain,
! [SV12: reg] :
( ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(220,plain,
! [SV14: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
| ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(221,plain,
! [SV15: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
| ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(222,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY507: reg] :
( ~ ( c @ SY507 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY507 @ SV5 ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(223,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY508: reg] :
( ~ ( c @ SY508 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY508 @ paris ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(224,plain,
! [SV8: reg] :
( ( ( ! [SY491: reg] :
~ ~ ( ~ ! [SY492: reg] :
( ~ ( c @ SY492 @ SY491 )
| ( c @ SY492 @ SV8 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY491 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV9: reg] :
( ( ( ! [SY497: reg] :
~ ~ ( ~ ! [SY498: reg] :
( ~ ( c @ SY498 @ SY497 )
| ( c @ SY498 @ SV9 ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SY497 )
| ( c @ SX3 @ spain ) ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV13: reg] :
( ( ( ~ ( c @ ( sK12_SY477 @ SV13 ) @ catalunya ) )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(227,plain,
! [SV13: reg] :
( ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(228,plain,
! [SV12: reg] :
( ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(229,plain,
! [SV12: reg] :
( ( ( ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(230,plain,
! [SV14: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 ) )
= $false )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(231,plain,
! [SV14: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(232,plain,
! [SV15: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 ) )
= $false )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(233,plain,
! [SV15: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(234,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ! [SY507: reg] :
( ~ ( c @ SY507 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY507 @ SV5 ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(235,plain,
! [SV5: reg,SV2: $i,SV4: $i] :
( ( ( ! [SY508: reg] :
( ~ ( c @ SY508 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SY508 @ paris ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(236,plain,
! [SV8: reg] :
( ( ( ~ ~ ( ~ ! [SY509: reg] :
( ~ ( c @ SY509 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY509 @ SV8 ) )
| ~ ! [SY510: reg] :
( ~ ( c @ SY510 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY510 @ france ) ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(237,plain,
! [SV9: reg] :
( ( ( ~ ~ ( ~ ! [SY511: reg] :
( ~ ( c @ SY511 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY511 @ SV9 ) )
| ~ ! [SY512: reg] :
( ~ ( c @ SY512 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY512 @ spain ) ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(238,plain,
! [SV13: reg] :
( ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( ~ ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(239,plain,
! [SV13: reg] :
( ( ( ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV12: reg] :
( ( ( ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV12: reg] :
( ( ( ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(242,plain,
! [SV14: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( ~ ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(243,plain,
! [SV3: $i,SV1: $i,SV14: reg] :
( ( ( ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV15: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( ~ ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(245,plain,
! [SV3: $i,SV1: $i,SV15: reg] :
( ( ( ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( ~ ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SV16 @ SV5 ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
| ( c @ SV17 @ paris ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV8: reg] :
( ( ( ~ ( ~ ! [SY509: reg] :
( ~ ( c @ SY509 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY509 @ SV8 ) )
| ~ ! [SY510: reg] :
( ~ ( c @ SY510 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY510 @ france ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(249,plain,
! [SV9: reg] :
( ( ( ~ ( ~ ! [SY511: reg] :
( ~ ( c @ SY511 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY511 @ SV9 ) )
| ~ ! [SY512: reg] :
( ~ ( c @ SY512 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY512 @ spain ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(250,plain,
! [SV13: reg] :
( ( ( ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV13: reg] :
( ( ( ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(252,plain,
! [SV12: reg] :
( ( ( ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(253,plain,
! [SV12: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ sK3_SX0 )
| ( c @ SV18 @ catalunya ) )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV3: $i,SV1: $i,SV14: reg] :
( ( ( ! [SY504: reg] :
( ~ ( c @ SY504 @ SV14 )
| ( c @ SY504 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK17_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 )
| ( c @ ( sK17_SY504 @ SV3 @ SV1 @ SV14 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(256,plain,
! [SV3: $i,SV1: $i,SV15: reg] :
( ( ( ! [SY506: reg] :
( ~ ( c @ SY506 @ SV15 )
| ( c @ SY506 @ spain ) ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK18_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 )
| ( c @ ( sK18_SY506 @ SV3 @ SV1 @ SV15 ) @ spain ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[245]) ).
thf(258,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( ~ ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) ) )
= $true )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(259,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) ) )
= $true )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV8: reg] :
( ( ( ~ ! [SY509: reg] :
( ~ ( c @ SY509 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY509 @ SV8 ) )
| ~ ! [SY510: reg] :
( ~ ( c @ SY510 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY510 @ france ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV9: reg] :
( ( ( ~ ! [SY511: reg] :
( ~ ( c @ SY511 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY511 @ SV9 ) )
| ~ ! [SY512: reg] :
( ~ ( c @ SY512 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY512 @ spain ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV13: reg] :
( ( ( ! [SY478: reg] :
( ~ ( c @ SY478 @ sK3_SX0 )
| ( c @ SY478 @ catalunya ) ) )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(263,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ( c @ SV19 @ sK3_SX0 )
| ( c @ SV19 @ catalunya ) )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV12: reg,SV20: reg] :
( ( ( ~ ( c @ SV20 @ sK3_SX0 )
| ( c @ SV20 @ catalunya ) )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(265,plain,
! [SV12: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV18 @ catalunya )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(266,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK19_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 )
| ( c @ ( sK19_SY504 @ SV3 @ SV1 @ SV14 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[254]) ).
thf(267,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK17_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(268,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK17_SY504 @ SV3 @ SV1 @ SV14 ) @ catalunya )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(269,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK20_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 )
| ( c @ ( sK20_SY506 @ SV3 @ SV1 @ SV15 ) @ spain ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[256]) ).
thf(270,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK18_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(271,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK18_SY506 @ SV3 @ SV1 @ SV15 ) @ spain )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(272,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(273,plain,
! [SV5: reg,SV2: $i,SV4: $i,SV17: reg] :
( ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(274,plain,
! [SV8: reg] :
( ( ( ~ ! [SY509: reg] :
( ~ ( c @ SY509 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY509 @ SV8 ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(275,plain,
! [SV8: reg] :
( ( ( ~ ! [SY510: reg] :
( ~ ( c @ SY510 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY510 @ france ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(276,plain,
! [SV9: reg] :
( ( ( ~ ! [SY511: reg] :
( ~ ( c @ SY511 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY511 @ SV9 ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(277,plain,
! [SV9: reg] :
( ( ( ~ ! [SY512: reg] :
( ~ ( c @ SY512 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY512 @ spain ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(278,plain,
! [SV13: reg,SV21: reg] :
( ( ( ~ ( c @ SV21 @ sK3_SX0 )
| ( c @ SV21 @ catalunya ) )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(279,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ( c @ SV19 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV19 @ catalunya )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(280,plain,
! [SV12: reg,SV20: reg] :
( ( ( ~ ( c @ SV20 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV20 @ catalunya )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(281,plain,
! [SV12: reg,SV18: reg] :
( ( ( c @ SV18 @ sK3_SX0 )
= $false )
| ( ( c @ SV18 @ catalunya )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(282,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK19_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(283,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK19_SY504 @ SV3 @ SV1 @ SV14 ) @ catalunya )
= $false )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(284,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK17_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(285,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK20_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 ) )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(286,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK20_SY506 @ SV3 @ SV1 @ SV15 ) @ spain )
= $false )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(287,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK18_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 )
= $true )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ ( sK4_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(288,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(289,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ~ ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(290,plain,
! [SV8: reg] :
( ( ( ! [SY509: reg] :
( ~ ( c @ SY509 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY509 @ SV8 ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(291,plain,
! [SV8: reg] :
( ( ( ! [SY510: reg] :
( ~ ( c @ SY510 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SY510 @ france ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(292,plain,
! [SV9: reg] :
( ( ( ! [SY511: reg] :
( ~ ( c @ SY511 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY511 @ SV9 ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(293,plain,
! [SV9: reg] :
( ( ( ! [SY512: reg] :
( ~ ( c @ SY512 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SY512 @ spain ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(294,plain,
! [SV13: reg,SV21: reg] :
( ( ( ~ ( c @ SV21 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV21 @ catalunya )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(295,plain,
! [SV13: reg,SV19: reg] :
( ( ( c @ SV19 @ sK3_SX0 )
= $false )
| ( ( c @ SV19 @ catalunya )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ sK3_SX0 )
= $false )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(296,plain,
! [SV12: reg,SV20: reg] :
( ( ( c @ SV20 @ sK3_SX0 )
= $false )
| ( ( c @ SV20 @ catalunya )
= $true )
| ( ( c @ ( sK11_SY477 @ SV12 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ sK3_SX0 )
= $false )
| ( ( c @ SV12 @ paris )
= $true )
| ( ( c @ SV12 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(297,plain,
! [SV14: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK19_SY504 @ SV3 @ SV1 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK13_SY503 @ SV1 @ SV3 @ SV14 ) @ SV14 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(298,plain,
! [SV15: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK20_SY506 @ SV3 @ SV1 @ SV15 ) @ SV15 )
= $true )
| ( ( c @ ( sK14_SY505 @ SV1 @ SV3 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(299,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(300,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ~ ( c @ SV5 @ france )
| ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(301,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SV22 @ SV8 ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(302,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
| ( c @ SV23 @ france ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SV24 @ SV9 ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(304,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
| ( c @ SV25 @ spain ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(305,plain,
! [SV13: reg,SV21: reg] :
( ( ( c @ SV21 @ sK3_SX0 )
= $false )
| ( ( c @ SV21 @ catalunya )
= $true )
| ( ( c @ ( sK12_SY477 @ SV13 ) @ catalunya )
= $true )
| ( ( c @ sK5_SY475 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $true )
| ( ( c @ SV13 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(306,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ~ ( c @ SV5 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(307,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ~ ( c @ SV5 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(308,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK15_SY491 @ SV8 ) ) )
= $true )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(309,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ ( sK15_SY491 @ SV8 ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(310,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ( c @ SV24 @ ( sK16_SY497 @ SV9 ) ) )
= $true )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(311,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ( c @ SV25 @ ( sK16_SY497 @ SV9 ) ) )
= $true )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( c @ SV5 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(313,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( c @ SV5 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(314,plain,
! [SV8: reg,SV22: reg] :
( ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(315,plain,
! [SV8: reg,SV23: reg] :
( ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV9: reg,SV24: reg] :
( ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV9: reg,SV25: reg] :
( ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(318,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(319,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ~ ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(320,plain,
! [SV22: reg,SV8: reg] :
( ( ( ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(321,plain,
! [SV23: reg,SV8: reg] :
( ( ( ~ ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) ) )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(322,plain,
! [SV24: reg,SV9: reg] :
( ( ( ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(323,plain,
! [SV25: reg,SV9: reg] :
( ( ( ~ ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) ) )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(324,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(325,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ~ ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(326,plain,
! [SV22: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(327,plain,
! [SV23: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ sK3_SX0 )
| ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(328,plain,
! [SV24: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(329,plain,
! [SV25: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ sK3_SX0 )
| ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(330,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV5: reg] :
( ( ( ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(331,plain,
! [SV2: $i,SV4: $i,SV17: reg,SV5: reg] :
( ( ( ! [SY488: reg] :
~ ~ ( ~ ! [SY489: reg] :
( ~ ( c @ SY489 @ SY488 )
| ( c @ SY489 @ SV5 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY488 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(332,plain,
! [SV22: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ sK3_SX0 ) )
= $true )
| ( ( ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(333,plain,
! [SV23: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ sK3_SX0 ) )
= $true )
| ( ( ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(334,plain,
! [SV24: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ sK3_SX0 ) )
= $true )
| ( ( ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(335,plain,
! [SV25: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ sK3_SX0 ) )
= $true )
| ( ( ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(336,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY513: reg] :
( ~ ( c @ SY513 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY513 @ SV5 ) )
| ~ ! [SY514: reg] :
( ~ ( c @ SY514 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY514 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[330]) ).
thf(337,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY515: reg] :
( ~ ( c @ SY515 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY515 @ SV5 ) )
| ~ ! [SY516: reg] :
( ~ ( c @ SY516 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY516 @ france ) ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[331]) ).
thf(338,plain,
! [SV22: reg,SV8: reg] :
( ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(339,plain,
! [SV23: reg,SV8: reg] :
( ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV24: reg,SV9: reg] :
( ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(341,plain,
! [SV25: reg,SV9: reg] :
( ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(342,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY513: reg] :
( ~ ( c @ SY513 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY513 @ SV5 ) )
| ~ ! [SY514: reg] :
( ~ ( c @ SY514 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY514 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY515: reg] :
( ~ ( c @ SY515 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY515 @ SV5 ) )
| ~ ! [SY516: reg] :
( ~ ( c @ SY516 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY516 @ france ) ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(344,plain,
! [SV22: reg,SV8: reg] :
( ( ( ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(345,plain,
! [SV23: reg,SV8: reg] :
( ( ( ~ ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(346,plain,
! [SV24: reg,SV9: reg] :
( ( ( ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(347,plain,
! [SV25: reg,SV9: reg] :
( ( ( ~ ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(348,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY513: reg] :
( ~ ( c @ SY513 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY513 @ SV5 ) )
| ~ ! [SY514: reg] :
( ~ ( c @ SY514 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY514 @ france ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(349,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY515: reg] :
( ~ ( c @ SY515 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY515 @ SV5 ) )
| ~ ! [SY516: reg] :
( ~ ( c @ SY516 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY516 @ france ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(350,plain,
! [SV22: reg,SV8: reg] :
( ( ( ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(351,plain,
! [SV23: reg,SV8: reg] :
( ( ( ~ ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(352,plain,
! [SV24: reg,SV9: reg] :
( ( ( ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(353,plain,
! [SV25: reg,SV9: reg] :
( ( ( ~ ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(354,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY513: reg] :
( ~ ( c @ SY513 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY513 @ SV5 ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(355,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY514: reg] :
( ~ ( c @ SY514 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY514 @ france ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(356,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY515: reg] :
( ~ ( c @ SY515 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY515 @ SV5 ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(357,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY516: reg] :
( ~ ( c @ SY516 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY516 @ france ) ) )
= $false )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(358,plain,
! [SV22: reg,SV8: reg] :
( ( ( ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(359,plain,
! [SV23: reg,SV8: reg] :
( ( ( ! [SY494: reg] :
~ ~ ( ~ ! [SY495: reg] :
( ~ ( c @ SY495 @ SY494 )
| ( c @ SY495 @ SV8 ) )
| ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY494 )
| ( c @ SY465 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(360,plain,
! [SV24: reg,SV9: reg] :
( ( ( ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(361,plain,
! [SV25: reg,SV9: reg] :
( ( ( ! [SY500: reg] :
~ ~ ( ~ ! [SY501: reg] :
( ~ ( c @ SY501 @ SY500 )
| ( c @ SY501 @ SV9 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ SY500 )
| ( c @ SY474 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(362,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY513: reg] :
( ~ ( c @ SY513 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY513 @ SV5 ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(363,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY514: reg] :
( ~ ( c @ SY514 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SY514 @ france ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(364,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY515: reg] :
( ~ ( c @ SY515 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY515 @ SV5 ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(365,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY516: reg] :
( ~ ( c @ SY516 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SY516 @ france ) ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(366,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ~ ( ~ ! [SY517: reg] :
( ~ ( c @ SY517 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY517 @ SV8 ) )
| ~ ! [SY518: reg] :
( ~ ( c @ SY518 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY518 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[358]) ).
thf(367,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ~ ( ~ ! [SY519: reg] :
( ~ ( c @ SY519 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY519 @ SV8 ) )
| ~ ! [SY520: reg] :
( ~ ( c @ SY520 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY520 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[359]) ).
thf(368,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ~ ( ~ ! [SY521: reg] :
( ~ ( c @ SY521 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY521 @ SV9 ) )
| ~ ! [SY522: reg] :
( ~ ( c @ SY522 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY522 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(369,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ~ ( ~ ! [SY523: reg] :
( ~ ( c @ SY523 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY523 @ SV9 ) )
| ~ ! [SY524: reg] :
( ~ ( c @ SY524 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY524 @ sK3_SX0 ) ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[361]) ).
thf(370,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SV26 @ SV5 ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(371,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
| ( c @ SV27 @ france ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(372,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SV28 @ SV5 ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(373,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV29: reg] :
( ( ( ~ ( c @ SV29 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
| ( c @ SV29 @ france ) )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(374,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ( ~ ! [SY517: reg] :
( ~ ( c @ SY517 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY517 @ SV8 ) )
| ~ ! [SY518: reg] :
( ~ ( c @ SY518 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY518 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(375,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ( ~ ! [SY519: reg] :
( ~ ( c @ SY519 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY519 @ SV8 ) )
| ~ ! [SY520: reg] :
( ~ ( c @ SY520 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY520 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(376,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ( ~ ! [SY521: reg] :
( ~ ( c @ SY521 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY521 @ SV9 ) )
| ~ ! [SY522: reg] :
( ~ ( c @ SY522 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY522 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(377,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ( ~ ! [SY523: reg] :
( ~ ( c @ SY523 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY523 @ SV9 ) )
| ~ ! [SY524: reg] :
( ~ ( c @ SY524 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY524 @ sK3_SX0 ) ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(378,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) ) )
= $true )
| ( ( c @ SV26 @ SV5 )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(379,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) ) )
= $true )
| ( ( c @ SV27 @ france )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(380,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) ) )
= $true )
| ( ( c @ SV28 @ SV5 )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(381,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV29: reg] :
( ( ( ~ ( c @ SV29 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) ) )
= $true )
| ( ( c @ SV29 @ france )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(382,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ! [SY517: reg] :
( ~ ( c @ SY517 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY517 @ SV8 ) )
| ~ ! [SY518: reg] :
( ~ ( c @ SY518 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY518 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(383,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ! [SY519: reg] :
( ~ ( c @ SY519 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY519 @ SV8 ) )
| ~ ! [SY520: reg] :
( ~ ( c @ SY520 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY520 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(384,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ! [SY521: reg] :
( ~ ( c @ SY521 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY521 @ SV9 ) )
| ~ ! [SY522: reg] :
( ~ ( c @ SY522 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY522 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(385,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ! [SY523: reg] :
( ~ ( c @ SY523 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY523 @ SV9 ) )
| ~ ! [SY524: reg] :
( ~ ( c @ SY524 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY524 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(386,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV26: reg] :
( ( ( c @ SV26 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
= $false )
| ( ( c @ SV26 @ SV5 )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(387,plain,
! [SV5: reg,SV16: reg,SV4: $i,SV2: $i,SV27: reg] :
( ( ( c @ SV27 @ ( sK21_SY488 @ SV2 @ SV4 @ SV16 @ SV5 ) )
= $false )
| ( ( c @ SV27 @ france )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV16 @ SV5 )
= $true )
| ( ( c @ SV16 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(388,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV28: reg] :
( ( ( c @ SV28 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
= $false )
| ( ( c @ SV28 @ SV5 )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(389,plain,
! [SV5: reg,SV17: reg,SV4: $i,SV2: $i,SV29: reg] :
( ( ( c @ SV29 @ ( sK22_SY488 @ SV2 @ SV4 @ SV17 @ SV5 ) )
= $false )
| ( ( c @ SV29 @ france )
= $true )
| ( ( c @ SV5 @ france )
= $false )
| ( ( c @ SV5 @ paris )
= $false )
| ( ( c @ SV17 @ paris )
= $true )
| ( ( c @ SV17 @ ( sK10_SY485 @ SV4 @ SV2 @ SV5 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(390,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ! [SY517: reg] :
( ~ ( c @ SY517 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY517 @ SV8 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(391,plain,
! [SV8: reg,SV22: reg] :
( ( ( ~ ! [SY518: reg] :
( ~ ( c @ SY518 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY518 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(392,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ! [SY519: reg] :
( ~ ( c @ SY519 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY519 @ SV8 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(393,plain,
! [SV8: reg,SV23: reg] :
( ( ( ~ ! [SY520: reg] :
( ~ ( c @ SY520 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY520 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(394,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ! [SY521: reg] :
( ~ ( c @ SY521 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY521 @ SV9 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(395,plain,
! [SV9: reg,SV24: reg] :
( ( ( ~ ! [SY522: reg] :
( ~ ( c @ SY522 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY522 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(396,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ! [SY523: reg] :
( ~ ( c @ SY523 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY523 @ SV9 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(397,plain,
! [SV9: reg,SV25: reg] :
( ( ( ~ ! [SY524: reg] :
( ~ ( c @ SY524 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY524 @ sK3_SX0 ) ) )
= $false )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(398,plain,
! [SV8: reg,SV22: reg] :
( ( ( ! [SY517: reg] :
( ~ ( c @ SY517 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY517 @ SV8 ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(399,plain,
! [SV8: reg,SV22: reg] :
( ( ( ! [SY518: reg] :
( ~ ( c @ SY518 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SY518 @ sK3_SX0 ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(400,plain,
! [SV8: reg,SV23: reg] :
( ( ( ! [SY519: reg] :
( ~ ( c @ SY519 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY519 @ SV8 ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(401,plain,
! [SV8: reg,SV23: reg] :
( ( ( ! [SY520: reg] :
( ~ ( c @ SY520 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SY520 @ sK3_SX0 ) ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(402,plain,
! [SV9: reg,SV24: reg] :
( ( ( ! [SY521: reg] :
( ~ ( c @ SY521 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY521 @ SV9 ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(403,plain,
! [SV9: reg,SV24: reg] :
( ( ( ! [SY522: reg] :
( ~ ( c @ SY522 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SY522 @ sK3_SX0 ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(404,plain,
! [SV9: reg,SV25: reg] :
( ( ( ! [SY523: reg] :
( ~ ( c @ SY523 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY523 @ SV9 ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(405,plain,
! [SV9: reg,SV25: reg] :
( ( ( ! [SY524: reg] :
( ~ ( c @ SY524 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SY524 @ sK3_SX0 ) ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(406,plain,
! [SV8: reg,SV22: reg,SV30: reg] :
( ( ( ~ ( c @ SV30 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SV30 @ SV8 ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(407,plain,
! [SV8: reg,SV22: reg,SV31: reg] :
( ( ( ~ ( c @ SV31 @ ( sK23_SY494 @ SV22 @ SV8 ) )
| ( c @ SV31 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(408,plain,
! [SV8: reg,SV23: reg,SV32: reg] :
( ( ( ~ ( c @ SV32 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SV32 @ SV8 ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(409,plain,
! [SV8: reg,SV23: reg,SV33: reg] :
( ( ( ~ ( c @ SV33 @ ( sK24_SY494 @ SV23 @ SV8 ) )
| ( c @ SV33 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(410,plain,
! [SV9: reg,SV24: reg,SV34: reg] :
( ( ( ~ ( c @ SV34 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SV34 @ SV9 ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(411,plain,
! [SV9: reg,SV24: reg,SV35: reg] :
( ( ( ~ ( c @ SV35 @ ( sK25_SY500 @ SV24 @ SV9 ) )
| ( c @ SV35 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(412,plain,
! [SV9: reg,SV25: reg,SV36: reg] :
( ( ( ~ ( c @ SV36 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SV36 @ SV9 ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(413,plain,
! [SV9: reg,SV25: reg,SV37: reg] :
( ( ( ~ ( c @ SV37 @ ( sK26_SY500 @ SV25 @ SV9 ) )
| ( c @ SV37 @ sK3_SX0 ) )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(414,plain,
! [SV8: reg,SV22: reg,SV30: reg] :
( ( ( ~ ( c @ SV30 @ ( sK23_SY494 @ SV22 @ SV8 ) ) )
= $true )
| ( ( c @ SV30 @ SV8 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(415,plain,
! [SV8: reg,SV22: reg,SV31: reg] :
( ( ( ~ ( c @ SV31 @ ( sK23_SY494 @ SV22 @ SV8 ) ) )
= $true )
| ( ( c @ SV31 @ sK3_SX0 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(416,plain,
! [SV8: reg,SV23: reg,SV32: reg] :
( ( ( ~ ( c @ SV32 @ ( sK24_SY494 @ SV23 @ SV8 ) ) )
= $true )
| ( ( c @ SV32 @ SV8 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(417,plain,
! [SV8: reg,SV23: reg,SV33: reg] :
( ( ( ~ ( c @ SV33 @ ( sK24_SY494 @ SV23 @ SV8 ) ) )
= $true )
| ( ( c @ SV33 @ sK3_SX0 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(418,plain,
! [SV9: reg,SV24: reg,SV34: reg] :
( ( ( ~ ( c @ SV34 @ ( sK25_SY500 @ SV24 @ SV9 ) ) )
= $true )
| ( ( c @ SV34 @ SV9 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(419,plain,
! [SV9: reg,SV24: reg,SV35: reg] :
( ( ( ~ ( c @ SV35 @ ( sK25_SY500 @ SV24 @ SV9 ) ) )
= $true )
| ( ( c @ SV35 @ sK3_SX0 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(420,plain,
! [SV9: reg,SV25: reg,SV36: reg] :
( ( ( ~ ( c @ SV36 @ ( sK26_SY500 @ SV25 @ SV9 ) ) )
= $true )
| ( ( c @ SV36 @ SV9 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(421,plain,
! [SV9: reg,SV25: reg,SV37: reg] :
( ( ( ~ ( c @ SV37 @ ( sK26_SY500 @ SV25 @ SV9 ) ) )
= $true )
| ( ( c @ SV37 @ sK3_SX0 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(422,plain,
! [SV8: reg,SV22: reg,SV30: reg] :
( ( ( c @ SV30 @ ( sK23_SY494 @ SV22 @ SV8 ) )
= $false )
| ( ( c @ SV30 @ SV8 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(423,plain,
! [SV8: reg,SV22: reg,SV31: reg] :
( ( ( c @ SV31 @ ( sK23_SY494 @ SV22 @ SV8 ) )
= $false )
| ( ( c @ SV31 @ sK3_SX0 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV22 @ SV8 )
= $true )
| ( ( c @ SV22 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(424,plain,
! [SV8: reg,SV23: reg,SV32: reg] :
( ( ( c @ SV32 @ ( sK24_SY494 @ SV23 @ SV8 ) )
= $false )
| ( ( c @ SV32 @ SV8 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(425,plain,
! [SV8: reg,SV23: reg,SV33: reg] :
( ( ( c @ SV33 @ ( sK24_SY494 @ SV23 @ SV8 ) )
= $false )
| ( ( c @ SV33 @ sK3_SX0 )
= $true )
| ( ( c @ SV8 @ sK3_SX0 )
= $false )
| ( ( c @ SV8 @ france )
= $false )
| ( ( c @ SV23 @ france )
= $true )
| ( ( c @ SV23 @ ( sK15_SY491 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(426,plain,
! [SV9: reg,SV24: reg,SV34: reg] :
( ( ( c @ SV34 @ ( sK25_SY500 @ SV24 @ SV9 ) )
= $false )
| ( ( c @ SV34 @ SV9 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(427,plain,
! [SV9: reg,SV24: reg,SV35: reg] :
( ( ( c @ SV35 @ ( sK25_SY500 @ SV24 @ SV9 ) )
= $false )
| ( ( c @ SV35 @ sK3_SX0 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV24 @ SV9 )
= $true )
| ( ( c @ SV24 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(428,plain,
! [SV9: reg,SV25: reg,SV36: reg] :
( ( ( c @ SV36 @ ( sK26_SY500 @ SV25 @ SV9 ) )
= $false )
| ( ( c @ SV36 @ SV9 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(429,plain,
! [SV9: reg,SV25: reg,SV37: reg] :
( ( ( c @ SV37 @ ( sK26_SY500 @ SV25 @ SV9 ) )
= $false )
| ( ( c @ SV37 @ sK3_SX0 )
= $true )
| ( ( c @ SV9 @ sK3_SX0 )
= $false )
| ( ( c @ SV9 @ spain )
= $false )
| ( ( c @ SV25 @ spain )
= $true )
| ( ( c @ SV25 @ ( sK16_SY497 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(430,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,429,428,427,426,425,424,423,422,389,388,387,386,305,298,297,296,295,287,286,284,283,281,271,268,180,178,171,169,167,165,151,149,126,123,113,111,108,106]) ).
thf(431,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG011^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n017.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 09:57:30 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.36
% 0.54/0.36 No.of.Axioms: 2
% 0.54/0.36
% 0.54/0.36 Length.of.Defs: 6611
% 0.54/0.36
% 0.54/0.36 Contains.Choice.Funs: false
% 0.54/0.36 ......................
% 0.54/0.36
% 0.54/0.36 ********************************
% 0.54/0.36 * All subproblems solved! *
% 0.54/0.36 ********************************
% 0.54/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:430,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.54/0.36
% 0.54/0.36 %**** Beginning of derivation protocol ****
% 0.54/0.36 % SZS output start CNFRefutation
% See solution above
% 0.46/0.36
% 0.46/0.36 %**** End of derivation protocol ****
% 0.46/0.36 %**** no. of clauses in derivation: 425 ****
% 0.46/0.36 %**** clause counter: 430 ****
% 0.46/0.36
% 0.46/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:430,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------