%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG006^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 10:17:22 AM UTC 2026
% Result : Theorem 0.52s 0.35s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 43
% Syntax : Number of formulae : 339 ( 64 unt; 0 typ; 40 def)
% Number of atoms : 4010 (1019 equ; 0 cnn)
% Maximal formula atoms : 7 ( 11 avg)
% Number of connectives : 8736 (2118 ~;1536 |; 63 &;4966 @)
% ( 0 <=>; 53 =>; 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 : 79 ( 76 usr; 8 con; 0-4 aty)
% Number of variables : 1527 ( 71 ^;1425 !; 31 ?;1527 :)
% 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_SY289,type,
sK10_SY289: $i > $i > reg > reg ).
thf(tp_sK11_SY291,type,
sK11_SY291: $i > $i > reg > reg ).
thf(tp_sK12_SY293,type,
sK12_SY293: reg > reg > reg ).
thf(tp_sK13_SY295,type,
sK13_SY295: reg > reg > reg ).
thf(tp_sK14_SY297,type,
sK14_SY297: reg > reg > reg ).
thf(tp_sK15_SY301,type,
sK15_SY301: reg > reg > reg ).
thf(tp_sK16_SY290,type,
sK16_SY290: $i > $i > reg > reg ).
thf(tp_sK17_SY292,type,
sK17_SY292: $i > $i > reg > reg ).
thf(tp_sK18_SY294,type,
sK18_SY294: reg > reg > reg ).
thf(tp_sK19_SY290,type,
sK19_SY290: $i > $i > reg > reg ).
thf(tp_sK1_SY34,type,
sK1_SY34: $i ).
thf(tp_sK20_SY292,type,
sK20_SY292: $i > $i > reg > reg ).
thf(tp_sK21_SY296,type,
sK21_SY296: reg > reg > reg ).
thf(tp_sK22_SY298,type,
sK22_SY298: reg > reg > reg ).
thf(tp_sK23_SY294,type,
sK23_SY294: reg > reg > reg ).
thf(tp_sK24_SY302,type,
sK24_SY302: reg > reg > reg ).
thf(tp_sK25_SY296,type,
sK25_SY296: reg > reg > reg ).
thf(tp_sK26_SY298,type,
sK26_SY298: reg > reg > reg ).
thf(tp_sK27_SY302,type,
sK27_SY302: reg > reg > reg ).
thf(tp_sK28_SY286,type,
sK28_SY286: $i > $i > reg > reg > reg ).
thf(tp_sK29_SY286,type,
sK29_SY286: $i > $i > reg > reg > reg ).
thf(tp_sK2_SY224,type,
sK2_SY224: $i ).
thf(tp_sK3_SX2,type,
sK3_SX2: $i > $i > reg ).
thf(tp_sK4_SX2,type,
sK4_SX2: $i > $i > reg ).
thf(tp_sK5_SX2,type,
sK5_SX2: $i > $i > reg ).
thf(tp_sK6_SY275,type,
sK6_SY275: reg > reg ).
thf(tp_sK7_SY276,type,
sK7_SY276: reg > reg ).
thf(tp_sK8_SY276,type,
sK8_SY276: reg > reg ).
thf(tp_sK9_SY283,type,
sK9_SY283: $i > $i > reg > 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/sandbox/benchmark/theBenchmark.p',dc) ).
thf(ec,definition,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec) ).
thf(eq,definition,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reg_type) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ntpp) ).
thf(o,definition,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ X )
& ( p @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o) ).
thf(p,definition,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p) ).
thf(po,definition,
( po
= ( ^ [X: reg,Y: reg] :
( ( o @ X @ Y )
& ~ ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',po) ).
thf(pp,definition,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',tpp) ).
thf(1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(9,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
( ( o @ catalunya @ spain )
& ( o @ france @ paris ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
( ( o @ catalunya @ spain )
& ( o @ france @ paris ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [SY34: $i,SY35: $i] :
( ~ ( a @ SY34 @ SY35 )
| ( ? [SY12: reg] :
( ! [SY8: reg] :
( ( c @ SY8 @ SY12 )
=> ( c @ SY8 @ catalunya ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY12 )
=> ( c @ SY14 @ spain ) ) )
& ? [SY23: reg] :
( ! [SY19: reg] :
( ( c @ SY19 @ SY23 )
=> ( c @ SY19 @ france ) )
& ! [SY25: reg] :
( ( c @ SY25 @ SY23 )
=> ( c @ SY25 @ paris ) ) ) ) ) )
= $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,
( ( ! [SY115: $i,SY116: $i] :
( ~ ( a @ SY115 @ SY116 )
| ( ! [SY95: reg] :
( ( c @ SY95 @ paris )
=> ( c @ SY95 @ france ) )
& ~ ! [SY96: reg] :
( ( c @ SY96 @ france )
=> ( c @ SY96 @ paris ) )
& ~ ? [SY97: reg] :
( ( c @ SY97 @ paris )
& ~ ? [SY77: reg] :
( ! [SY70: reg] :
( ( c @ SY70 @ SY77 )
=> ( c @ SY70 @ SY97 ) )
& ! [SY79: reg] :
( ( c @ SY79 @ SY77 )
=> ( c @ SY79 @ paris ) ) )
& ( c @ SY97 @ france )
& ~ ? [SY101: reg] :
( ! [SY85: reg] :
( ( c @ SY85 @ SY101 )
=> ( c @ SY85 @ SY97 ) )
& ! [SY103: reg] :
( ( c @ SY103 @ SY101 )
=> ( c @ SY103 @ 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,
( ( ! [SY202: $i,SY203: $i] :
( ~ ( a @ SY202 @ SY203 )
| ( ! [SY182: reg] :
( ( c @ SY182 @ catalunya )
=> ( c @ SY182 @ spain ) )
& ~ ! [SY183: reg] :
( ( c @ SY183 @ spain )
=> ( c @ SY183 @ catalunya ) )
& ? [SY184: reg] :
( ( c @ SY184 @ catalunya )
& ~ ? [SY164: reg] :
( ! [SY157: reg] :
( ( c @ SY157 @ SY164 )
=> ( c @ SY157 @ SY184 ) )
& ! [SY166: reg] :
( ( c @ SY166 @ SY164 )
=> ( c @ SY166 @ catalunya ) ) )
& ( c @ SY184 @ spain )
& ~ ? [SY188: reg] :
( ! [SY172: reg] :
( ( c @ SY172 @ SY188 )
=> ( c @ SY172 @ SY184 ) )
& ! [SY190: reg] :
( ( c @ SY190 @ SY188 )
=> ( c @ SY190 @ 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,
( ( ! [SY224: $i] :
( ~ ( a @ sK1_SY34 @ SY224 )
| ( ? [SY12: reg] :
( ! [SY8: reg] :
( ( c @ SY8 @ SY12 )
=> ( c @ SY8 @ catalunya ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY12 )
=> ( c @ SY14 @ spain ) ) )
& ? [SY23: reg] :
( ! [SY19: reg] :
( ( c @ SY19 @ SY23 )
=> ( c @ SY19 @ france ) )
& ! [SY25: reg] :
( ( c @ SY25 @ SY23 )
=> ( c @ SY25 @ paris ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(15,plain,
( ( ~ ( a @ sK1_SY34 @ sK2_SY224 )
| ( ? [SY12: reg] :
( ! [SY8: reg] :
( ( c @ SY8 @ SY12 )
=> ( c @ SY8 @ catalunya ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY12 )
=> ( c @ SY14 @ spain ) ) )
& ? [SY23: reg] :
( ! [SY19: reg] :
( ( c @ SY19 @ SY23 )
=> ( c @ SY19 @ france ) )
& ! [SY25: reg] :
( ( c @ SY25 @ SY23 )
=> ( c @ SY25 @ paris ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ~ ( ~ ( a @ sK1_SY34 @ sK2_SY224 )
| ( ? [SY12: reg] :
( ! [SY8: reg] :
( ( c @ SY8 @ SY12 )
=> ( c @ SY8 @ catalunya ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY12 )
=> ( c @ SY14 @ spain ) ) )
& ? [SY23: reg] :
( ! [SY19: reg] :
( ( c @ SY19 @ SY23 )
=> ( c @ SY19 @ france ) )
& ! [SY25: reg] :
( ( c @ SY25 @ SY23 )
=> ( c @ SY25 @ paris ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [SY202: $i,SY203: $i] :
( ~ ( a @ SY202 @ SY203 )
| ( ! [SY182: reg] :
( ( c @ SY182 @ catalunya )
=> ( c @ SY182 @ spain ) )
& ~ ! [SY183: reg] :
( ( c @ SY183 @ spain )
=> ( c @ SY183 @ catalunya ) )
& ? [SY184: reg] :
( ( c @ SY184 @ catalunya )
& ~ ? [SY164: reg] :
( ! [SY157: reg] :
( ( c @ SY157 @ SY164 )
=> ( c @ SY157 @ SY184 ) )
& ! [SY166: reg] :
( ( c @ SY166 @ SY164 )
=> ( c @ SY166 @ catalunya ) ) )
& ( c @ SY184 @ spain )
& ~ ? [SY188: reg] :
( ! [SY172: reg] :
( ( c @ SY172 @ SY188 )
=> ( c @ SY172 @ SY184 ) )
& ! [SY190: reg] :
( ( c @ SY190 @ SY188 )
=> ( c @ SY190 @ spain ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [SY115: $i,SY116: $i] :
( ~ ( a @ SY115 @ SY116 )
| ( ! [SY95: reg] :
( ( c @ SY95 @ paris )
=> ( c @ SY95 @ france ) )
& ~ ! [SY96: reg] :
( ( c @ SY96 @ france )
=> ( c @ SY96 @ paris ) )
& ~ ? [SY97: reg] :
( ( c @ SY97 @ paris )
& ~ ? [SY77: reg] :
( ! [SY70: reg] :
( ( c @ SY70 @ SY77 )
=> ( c @ SY70 @ SY97 ) )
& ! [SY79: reg] :
( ( c @ SY79 @ SY77 )
=> ( c @ SY79 @ paris ) ) )
& ( c @ SY97 @ france )
& ~ ? [SY101: reg] :
( ! [SY85: reg] :
( ( c @ SY85 @ SY101 )
=> ( c @ SY85 @ SY97 ) )
& ! [SY103: reg] :
( ( c @ SY103 @ SY101 )
=> ( c @ SY103 @ france ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( ~ ( ~ ( a @ sK1_SY34 @ sK2_SY224 )
| ( ? [SY12: reg] :
( ! [SY8: reg] :
( ( c @ SY8 @ SY12 )
=> ( c @ SY8 @ catalunya ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY12 )
=> ( c @ SY14 @ spain ) ) )
& ? [SY23: reg] :
( ! [SY19: reg] :
( ( c @ SY19 @ SY23 )
=> ( c @ SY19 @ france ) )
& ! [SY25: reg] :
( ( c @ SY25 @ SY23 )
=> ( c @ SY25 @ paris ) ) ) ) ) )
= $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_SY34 @ sK2_SY224 )
| ~ ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) ) ) )
= $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] :
( ( ! [SY237: $i] :
( ~ ( a @ SV1 @ SY237 )
| ~ ( ~ ~ ( ~ ! [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] :
( ( ! [SY247: $i] :
( ~ ( a @ SV2 @ SY247 )
| ~ ( ~ ~ ( ~ ! [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_SY34 @ sK2_SY224 )
| ~ ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) ) )
= $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_SY34 @ sK2_SY224 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) ) )
= $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_SY34 @ sK2_SY224 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[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,
( ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,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(38,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(39,plain,
( ( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) ) )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,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)],[37]) ).
thf(41,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)],[37]) ).
thf(42,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)],[38]) ).
thf(43,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)],[38]) ).
thf(44,plain,
( ( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ catalunya ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,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)],[40]) ).
thf(46,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)],[41]) ).
thf(47,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)],[42]) ).
thf(48,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)],[43]) ).
thf(49,plain,
! [SV5: reg] :
( ( ( ~ ~ ( ~ ! [SY275: reg] :
( ~ ( c @ SY275 @ SV5 )
| ( c @ SY275 @ catalunya ) )
| ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(50,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)],[45]) ).
thf(51,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)],[46]) ).
thf(52,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)],[47]) ).
thf(53,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)],[48]) ).
thf(54,plain,
! [SV5: reg] :
( ( ( ~ ( ~ ! [SY275: reg] :
( ~ ( c @ SY275 @ SV5 )
| ( c @ SY275 @ catalunya ) )
| ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) ) )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(58,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,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)],[53]) ).
thf(61,plain,
! [SV5: reg] :
( ( ( ~ ! [SY275: reg] :
( ~ ( c @ SY275 @ SV5 )
| ( c @ SY275 @ catalunya ) )
| ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV5: reg] :
( ( ( ~ ! [SY275: reg] :
( ~ ( c @ SY275 @ SV5 )
| ( c @ SY275 @ catalunya ) ) )
= $true )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV3: $i,SV1: $i,SV7: reg] :
( ( ( ~ ( c @ SV7 @ catalunya )
| ( c @ SV7 @ spain ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV4: $i,SV2: $i,SV8: reg] :
( ( ( ~ ( c @ SV8 @ paris )
| ( c @ SV8 @ france ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ( ~ ~ ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV5: reg] :
( ( ( ! [SY275: reg] :
( ~ ( c @ SY275 @ SV5 )
| ( c @ SY275 @ catalunya ) ) )
= $false )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV3: $i,SV1: $i,SV7: reg] :
( ( ( ~ ( c @ SV7 @ catalunya ) )
= $true )
| ( ( c @ SV7 @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
| ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(78,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV4: $i,SV2: $i,SV8: reg] :
( ( ( ~ ( c @ SV8 @ paris ) )
= $true )
| ( ( c @ SV8 @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK5_SX2 @ SV4 @ SV2 ) @ france )
| ( c @ ( sK5_SX2 @ SV4 @ SV2 ) @ paris ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(82,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ~ ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
| ( c @ ( sK6_SY275 @ SV5 ) @ catalunya ) )
= $false )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(84,plain,
! [SV3: $i,SV1: $i,SV7: reg] :
( ( ( c @ SV7 @ catalunya )
= $false )
| ( ( c @ SV7 @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ catalunya )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(88,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV4: $i,SV2: $i,SV8: reg] :
( ( ( c @ SV8 @ paris )
= $false )
| ( ( c @ SV8 @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK5_SX2 @ SV4 @ SV2 ) @ france ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(91,plain,
! [SV2: $i,SV4: $i] :
( ( ( c @ ( sK5_SX2 @ SV4 @ SV2 ) @ paris )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ~ ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK6_SY275 @ SV5 ) @ SV5 ) )
= $false )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(94,plain,
! [SV5: reg] :
( ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(95,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK4_SX2 @ SV3 @ SV1 ) @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
| ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
| ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV2: $i,SV4: $i] :
( ( ( c @ ( sK5_SX2 @ SV4 @ SV2 ) @ france )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV5: reg] :
( ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(101,plain,
! [SV5: reg] :
( ( ( ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(103,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(105,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(106,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ( c @ SV6 @ paris )
| ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(107,plain,
! [SV5: reg] :
( ( ( ! [SY276: reg] :
( ~ ( c @ SY276 @ SV5 )
| ( c @ SY276 @ spain ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(108,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
| ( c @ ( sK7_SY276 @ SV5 ) @ spain ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(109,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ catalunya )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(110,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(111,plain,
! [SV1: $i,SV3: $i] :
( ( ( c @ ( sK3_SX2 @ SV3 @ SV1 ) @ spain )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(112,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(113,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ( c @ SV6 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(114,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
| ( c @ ( sK8_SY276 @ SV5 ) @ spain ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(115,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK7_SY276 @ SV5 ) @ SV5 ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(116,plain,
! [SV5: reg] :
( ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK8_SY276 @ SV5 ) @ SV5 ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV5: reg] :
( ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV5: reg] :
( ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(123,plain,
! [SV5: reg] :
( ( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV1: $i,SV3: $i] :
( ( ( ! [SY277: reg] :
~ ~ ( ~ ! [SY278: reg] :
( ~ ( c @ SY278 @ SY277 )
| ( c @ SY278 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY277 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(125,plain,
! [SV1: $i,SV3: $i] :
( ( ( ! [SY280: reg] :
~ ~ ( ~ ! [SY281: reg] :
( ~ ( c @ SY281 @ SY280 )
| ( c @ SY281 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY280 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(126,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(127,plain,
! [SV5: reg] :
( ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(128,plain,
! [SV5: reg] :
( ( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(129,plain,
! [SV5: reg] :
( ( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(130,plain,
! [SV5: reg] :
( ( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(131,plain,
! [SV1: $i,SV3: $i,SV9: reg] :
( ( ( ~ ~ ( ~ ! [SY289: reg] :
( ~ ( c @ SY289 @ SV9 )
| ( c @ SY289 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(132,plain,
! [SV1: $i,SV3: $i,SV10: reg] :
( ( ( ~ ~ ( ~ ! [SY291: reg] :
( ~ ( c @ SY291 @ SV10 )
| ( c @ SY291 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(133,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ~ ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(134,plain,
! [SV5: reg] :
( ( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV5: reg] :
( ( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(136,plain,
! [SV5: reg] :
( ( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(137,plain,
! [SV5: reg,SV11: reg] :
( ( ( ~ ~ ( ~ ! [SY293: reg] :
( ~ ( c @ SY293 @ SV11 )
| ( c @ SY293 @ france ) )
| ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV1: $i,SV3: $i,SV9: reg] :
( ( ( ~ ( ~ ! [SY289: reg] :
( ~ ( c @ SY289 @ SV9 )
| ( c @ SY289 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV1: $i,SV3: $i,SV10: reg] :
( ( ( ~ ( ~ ! [SY291: reg] :
( ~ ( c @ SY291 @ SV10 )
| ( c @ SY291 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV4: $i,SV2: $i,SV6: reg] :
( ( ( ! [SY283: reg] :
~ ~ ( ~ ! [SY284: reg] :
( ~ ( c @ SY284 @ SY283 )
| ( c @ SY284 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY283 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV5: reg] :
( ( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(142,plain,
! [SV5: reg,SV12: reg] :
( ( ( ~ ~ ( ~ ! [SY295: reg] :
( ~ ( c @ SY295 @ SV12 )
| ( c @ SY295 @ france ) )
| ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV5: reg,SV13: reg] :
( ( ( ~ ~ ( ~ ! [SY297: reg] :
( ~ ( c @ SY297 @ SV13 )
| ( c @ SY297 @ france ) )
| ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV5: reg,SV11: reg] :
( ( ( ~ ( ~ ! [SY293: reg] :
( ~ ( c @ SY293 @ SV11 )
| ( c @ SY293 @ france ) )
| ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(145,plain,
! [SV1: $i,SV3: $i,SV9: reg] :
( ( ( ~ ! [SY289: reg] :
( ~ ( c @ SY289 @ SV9 )
| ( c @ SY289 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(146,plain,
! [SV1: $i,SV3: $i,SV10: reg] :
( ( ( ~ ! [SY291: reg] :
( ~ ( c @ SY291 @ SV10 )
| ( c @ SY291 @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
| ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(147,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY299: reg] :
( ~ ( c @ SY299 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY299 @ SV6 ) )
| ~ ! [SY300: reg] :
( ~ ( c @ SY300 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY300 @ paris ) ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[140]) ).
thf(148,plain,
! [SV5: reg,SV14: reg] :
( ( ( ~ ~ ( ~ ! [SY301: reg] :
( ~ ( c @ SY301 @ SV14 )
| ( c @ SY301 @ france ) )
| ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV5: reg,SV12: reg] :
( ( ( ~ ( ~ ! [SY295: reg] :
( ~ ( c @ SY295 @ SV12 )
| ( c @ SY295 @ france ) )
| ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV5: reg,SV13: reg] :
( ( ( ~ ( ~ ! [SY297: reg] :
( ~ ( c @ SY297 @ SV13 )
| ( c @ SY297 @ france ) )
| ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV5: reg,SV11: reg] :
( ( ( ~ ! [SY293: reg] :
( ~ ( c @ SY293 @ SV11 )
| ( c @ SY293 @ france ) )
| ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(152,plain,
! [SV1: $i,SV3: $i,SV9: reg] :
( ( ( ~ ! [SY289: reg] :
( ~ ( c @ SY289 @ SV9 )
| ( c @ SY289 @ ( sK3_SX2 @ SV3 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV1: $i,SV3: $i,SV10: reg] :
( ( ( ~ ! [SY291: reg] :
( ~ ( c @ SY291 @ SV10 )
| ( c @ SY291 @ ( sK3_SX2 @ SV3 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(154,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SY299: reg] :
( ~ ( c @ SY299 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY299 @ SV6 ) )
| ~ ! [SY300: reg] :
( ~ ( c @ SY300 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY300 @ paris ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(155,plain,
! [SV5: reg,SV14: reg] :
( ( ( ~ ( ~ ! [SY301: reg] :
( ~ ( c @ SY301 @ SV14 )
| ( c @ SY301 @ france ) )
| ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) ) )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(156,plain,
! [SV5: reg,SV12: reg] :
( ( ( ~ ! [SY295: reg] :
( ~ ( c @ SY295 @ SV12 )
| ( c @ SY295 @ france ) )
| ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(157,plain,
! [SV5: reg,SV13: reg] :
( ( ( ~ ! [SY297: reg] :
( ~ ( c @ SY297 @ SV13 )
| ( c @ SY297 @ france ) )
| ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(158,plain,
! [SV5: reg,SV11: reg] :
( ( ( ~ ! [SY293: reg] :
( ~ ( c @ SY293 @ SV11 )
| ( c @ SY293 @ france ) ) )
= $true )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(159,plain,
! [SV1: $i,SV3: $i,SV9: reg] :
( ( ( ! [SY289: reg] :
( ~ ( c @ SY289 @ SV9 )
| ( c @ SY289 @ ( sK3_SX2 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(160,plain,
! [SV1: $i,SV3: $i,SV10: reg] :
( ( ( ! [SY291: reg] :
( ~ ( c @ SY291 @ SV10 )
| ( c @ SY291 @ ( sK3_SX2 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(161,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY299: reg] :
( ~ ( c @ SY299 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY299 @ SV6 ) )
| ~ ! [SY300: reg] :
( ~ ( c @ SY300 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY300 @ paris ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV5: reg,SV14: reg] :
( ( ( ~ ! [SY301: reg] :
( ~ ( c @ SY301 @ SV14 )
| ( c @ SY301 @ france ) )
| ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(163,plain,
! [SV5: reg,SV12: reg] :
( ( ( ~ ! [SY295: reg] :
( ~ ( c @ SY295 @ SV12 )
| ( c @ SY295 @ france ) ) )
= $true )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV5: reg,SV13: reg] :
( ( ( ~ ! [SY297: reg] :
( ~ ( c @ SY297 @ SV13 )
| ( c @ SY297 @ france ) ) )
= $true )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(165,plain,
! [SV5: reg,SV11: reg] :
( ( ( ! [SY293: reg] :
( ~ ( c @ SY293 @ SV11 )
| ( c @ SY293 @ france ) ) )
= $false )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(166,plain,
! [SV9: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
| ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(167,plain,
! [SV10: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
| ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[160]) ).
thf(168,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY299: reg] :
( ~ ( c @ SY299 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY299 @ SV6 ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(169,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY300: reg] :
( ~ ( c @ SY300 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY300 @ paris ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(170,plain,
! [SV5: reg,SV14: reg] :
( ( ( ~ ! [SY301: reg] :
( ~ ( c @ SY301 @ SV14 )
| ( c @ SY301 @ france ) ) )
= $true )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV5: reg,SV12: reg] :
( ( ( ! [SY295: reg] :
( ~ ( c @ SY295 @ SV12 )
| ( c @ SY295 @ france ) ) )
= $false )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV5: reg,SV13: reg] :
( ( ( ! [SY297: reg] :
( ~ ( c @ SY297 @ SV13 )
| ( c @ SY297 @ france ) ) )
= $false )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
| ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france ) )
= $false )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(174,plain,
! [SV9: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 ) )
= $false )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(175,plain,
! [SV9: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(176,plain,
! [SV10: reg,SV3: $i,SV1: $i] :
( ( ( ~ ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 ) )
= $false )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(177,plain,
! [SV10: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(178,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ! [SY299: reg] :
( ~ ( c @ SY299 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY299 @ SV6 ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(179,plain,
! [SV6: reg,SV2: $i,SV4: $i] :
( ( ( ! [SY300: reg] :
( ~ ( c @ SY300 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SY300 @ paris ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(180,plain,
! [SV5: reg,SV14: reg] :
( ( ( ! [SY301: reg] :
( ~ ( c @ SY301 @ SV14 )
| ( c @ SY301 @ france ) ) )
= $false )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
| ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france ) )
= $false )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(182,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
| ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france ) )
= $false )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[172]) ).
thf(183,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 ) )
= $false )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(184,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(185,plain,
! [SV9: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( ~ ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(186,plain,
! [SV3: $i,SV1: $i,SV9: reg] :
( ( ( ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV10: reg,SV3: $i,SV1: $i] :
( ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( ~ ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(188,plain,
! [SV3: $i,SV1: $i,SV10: reg] :
( ( ( ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(189,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV15: reg] :
( ( ( ~ ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SV15 @ SV6 ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(190,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( ~ ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
| ( c @ SV16 @ paris ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(191,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
| ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france ) )
= $false )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[180]) ).
thf(192,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 ) )
= $false )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(193,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(194,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 ) )
= $false )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(195,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(196,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( ~ ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(197,plain,
! [SV5: reg,SV11: reg] :
( ( ( ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV3: $i,SV1: $i,SV9: reg] :
( ( ( ! [SY290: reg] :
( ~ ( c @ SY290 @ SV9 )
| ( c @ SY290 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK16_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 )
| ( c @ ( sK16_SY290 @ SV3 @ SV1 @ SV9 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(200,plain,
! [SV3: $i,SV1: $i,SV10: reg] :
( ( ( ! [SY292: reg] :
( ~ ( c @ SY292 @ SV10 )
| ( c @ SY292 @ spain ) ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK17_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 )
| ( c @ ( sK17_SY292 @ SV3 @ SV1 @ SV10 ) @ spain ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(202,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV15: reg] :
( ( ( ~ ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) ) )
= $true )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( ~ ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) ) )
= $true )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 ) )
= $false )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(205,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(206,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(207,plain,
! [SV5: reg,SV12: reg] :
( ( ( ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(208,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( ~ ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(209,plain,
! [SV5: reg,SV13: reg] :
( ( ( ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(210,plain,
! [SV5: reg,SV11: reg] :
( ( ( ! [SY294: reg] :
( ~ ( c @ SY294 @ SV11 )
| ( c @ SY294 @ paris ) ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(211,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK18_SY294 @ SV5 @ SV11 ) @ SV11 )
| ( c @ ( sK18_SY294 @ SV5 @ SV11 ) @ paris ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(212,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK19_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 )
| ( c @ ( sK19_SY290 @ SV3 @ SV1 @ SV9 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[198]) ).
thf(213,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK16_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(214,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK16_SY290 @ SV3 @ SV1 @ SV9 ) @ catalunya )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(215,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK20_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 )
| ( c @ ( sK20_SY292 @ SV3 @ SV1 @ SV10 ) @ spain ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(216,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK17_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(217,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK17_SY292 @ SV3 @ SV1 @ SV10 ) @ spain )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(218,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV15: reg] :
( ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(219,plain,
! [SV6: reg,SV2: $i,SV4: $i,SV16: reg] :
( ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(220,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( ~ ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(221,plain,
! [SV5: reg,SV14: reg] :
( ( ( ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(222,plain,
! [SV5: reg,SV12: reg] :
( ( ( ! [SY296: reg] :
( ~ ( c @ SY296 @ SV12 )
| ( c @ SY296 @ paris ) ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(223,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK21_SY296 @ SV5 @ SV12 ) @ SV12 )
| ( c @ ( sK21_SY296 @ SV5 @ SV12 ) @ paris ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[207]) ).
thf(224,plain,
! [SV5: reg,SV13: reg] :
( ( ( ! [SY298: reg] :
( ~ ( c @ SY298 @ SV13 )
| ( c @ SY298 @ paris ) ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(225,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK22_SY298 @ SV5 @ SV13 ) @ SV13 )
| ( c @ ( sK22_SY298 @ SV5 @ SV13 ) @ paris ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(226,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK23_SY294 @ SV5 @ SV11 ) @ SV11 )
| ( c @ ( sK23_SY294 @ SV5 @ SV11 ) @ paris ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(227,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK18_SY294 @ SV5 @ SV11 ) @ SV11 ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(228,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK18_SY294 @ SV5 @ SV11 ) @ paris )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(229,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK19_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 ) )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(230,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK19_SY290 @ SV3 @ SV1 @ SV9 ) @ catalunya )
= $false )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(231,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK16_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 )
= $true )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(232,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK20_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 ) )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(233,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK20_SY292 @ SV3 @ SV1 @ SV10 ) @ spain )
= $false )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(234,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK17_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 )
= $true )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ ( sK3_SX2 @ SV3 @ SV1 ) )
= $false )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(235,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(236,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ~ ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV5: reg,SV14: reg] :
( ( ( ! [SY302: reg] :
( ~ ( c @ SY302 @ SV14 )
| ( c @ SY302 @ paris ) ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK24_SY302 @ SV5 @ SV14 ) @ SV14 )
| ( c @ ( sK24_SY302 @ SV5 @ SV14 ) @ paris ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(239,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK25_SY296 @ SV5 @ SV12 ) @ SV12 )
| ( c @ ( sK25_SY296 @ SV5 @ SV12 ) @ paris ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(240,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK21_SY296 @ SV5 @ SV12 ) @ SV12 ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(241,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK21_SY296 @ SV5 @ SV12 ) @ paris )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(242,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK26_SY298 @ SV5 @ SV13 ) @ SV13 )
| ( c @ ( sK26_SY298 @ SV5 @ SV13 ) @ paris ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(243,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK22_SY298 @ SV5 @ SV13 ) @ SV13 ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(244,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK22_SY298 @ SV5 @ SV13 ) @ paris )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(245,plain,
! [SV11: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK23_SY294 @ SV5 @ SV11 ) @ SV11 ) )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(246,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK23_SY294 @ SV5 @ SV11 ) @ paris )
= $false )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(247,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK18_SY294 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(248,plain,
! [SV9: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK19_SY290 @ SV3 @ SV1 @ SV9 ) @ SV9 )
= $true )
| ( ( c @ ( sK10_SY289 @ SV1 @ SV3 @ SV9 ) @ SV9 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(249,plain,
! [SV10: reg,SV1: $i,SV3: $i] :
( ( ( c @ ( sK20_SY292 @ SV3 @ SV1 @ SV10 ) @ SV10 )
= $true )
| ( ( c @ ( sK11_SY291 @ SV1 @ SV3 @ SV10 ) @ SV10 )
= $true )
| ( ( a @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(250,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(251,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ~ ( c @ SV6 @ france )
| ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(252,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK27_SY302 @ SV5 @ SV14 ) @ SV14 )
| ( c @ ( sK27_SY302 @ SV5 @ SV14 ) @ paris ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(253,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK24_SY302 @ SV5 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(254,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK24_SY302 @ SV5 @ SV14 ) @ paris )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(255,plain,
! [SV12: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK25_SY296 @ SV5 @ SV12 ) @ SV12 ) )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(256,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK25_SY296 @ SV5 @ SV12 ) @ paris )
= $false )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(257,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK21_SY296 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(258,plain,
! [SV13: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK26_SY298 @ SV5 @ SV13 ) @ SV13 ) )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(259,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK26_SY298 @ SV5 @ SV13 ) @ paris )
= $false )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(260,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK22_SY298 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(261,plain,
! [SV11: reg,SV5: reg] :
( ( ( c @ ( sK23_SY294 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK12_SY293 @ SV5 @ SV11 ) @ SV11 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(262,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ~ ( c @ SV6 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ~ ( c @ SV6 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV14: reg,SV5: reg] :
( ( ( ~ ( c @ ( sK27_SY302 @ SV5 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(265,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK27_SY302 @ SV5 @ SV14 ) @ paris )
= $false )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(266,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK24_SY302 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(267,plain,
! [SV12: reg,SV5: reg] :
( ( ( c @ ( sK25_SY296 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK13_SY295 @ SV5 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(268,plain,
! [SV13: reg,SV5: reg] :
( ( ( c @ ( sK26_SY298 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK14_SY297 @ SV5 @ SV13 ) @ SV13 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK7_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(269,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( c @ SV6 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( c @ SV6 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV14: reg,SV5: reg] :
( ( ( c @ ( sK27_SY302 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK15_SY301 @ SV5 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK6_SY275 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY276 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(272,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(273,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ~ ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(274,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(275,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ~ ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(276,plain,
! [SV2: $i,SV4: $i,SV15: reg,SV6: reg] :
( ( ( ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(277,plain,
! [SV2: $i,SV4: $i,SV16: reg,SV6: reg] :
( ( ( ! [SY286: reg] :
~ ~ ( ~ ! [SY287: reg] :
( ~ ( c @ SY287 @ SY286 )
| ( c @ SY287 @ SV6 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY286 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(278,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY303: reg] :
( ~ ( c @ SY303 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY303 @ SV6 ) )
| ~ ! [SY304: reg] :
( ~ ( c @ SY304 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY304 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[276]) ).
thf(279,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY305: reg] :
( ~ ( c @ SY305 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY305 @ SV6 ) )
| ~ ! [SY306: reg] :
( ~ ( c @ SY306 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY306 @ france ) ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(280,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY303: reg] :
( ~ ( c @ SY303 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY303 @ SV6 ) )
| ~ ! [SY304: reg] :
( ~ ( c @ SY304 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY304 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(281,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY305: reg] :
( ~ ( c @ SY305 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY305 @ SV6 ) )
| ~ ! [SY306: reg] :
( ~ ( c @ SY306 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY306 @ france ) ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(282,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY303: reg] :
( ~ ( c @ SY303 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY303 @ SV6 ) )
| ~ ! [SY304: reg] :
( ~ ( c @ SY304 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY304 @ france ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(283,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY305: reg] :
( ~ ( c @ SY305 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY305 @ SV6 ) )
| ~ ! [SY306: reg] :
( ~ ( c @ SY306 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY306 @ france ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(284,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY303: reg] :
( ~ ( c @ SY303 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY303 @ SV6 ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(285,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY304: reg] :
( ~ ( c @ SY304 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY304 @ france ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(286,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY305: reg] :
( ~ ( c @ SY305 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY305 @ SV6 ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(287,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY306: reg] :
( ~ ( c @ SY306 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY306 @ france ) ) )
= $false )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(288,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY303: reg] :
( ~ ( c @ SY303 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY303 @ SV6 ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(289,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY304: reg] :
( ~ ( c @ SY304 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SY304 @ france ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(290,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY305: reg] :
( ~ ( c @ SY305 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY305 @ SV6 ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(291,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i] :
( ( ( ! [SY306: reg] :
( ~ ( c @ SY306 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SY306 @ france ) ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(292,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SV17 @ SV6 ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(293,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
| ( c @ SV18 @ france ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(294,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SV19 @ SV6 ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(295,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
| ( c @ SV20 @ france ) )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(296,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) ) )
= $true )
| ( ( c @ SV17 @ SV6 )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(297,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(298,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) ) )
= $true )
| ( ( c @ SV19 @ SV6 )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(299,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) ) )
= $true )
| ( ( c @ SV20 @ france )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(300,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV17: reg] :
( ( ( c @ SV17 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
= $false )
| ( ( c @ SV17 @ SV6 )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(301,plain,
! [SV6: reg,SV15: reg,SV4: $i,SV2: $i,SV18: reg] :
( ( ( c @ SV18 @ ( sK28_SY286 @ SV2 @ SV4 @ SV15 @ SV6 ) )
= $false )
| ( ( c @ SV18 @ france )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV15 @ SV6 )
= $true )
| ( ( c @ SV15 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(302,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV19: reg] :
( ( ( c @ SV19 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
= $false )
| ( ( c @ SV19 @ SV6 )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(303,plain,
! [SV6: reg,SV16: reg,SV4: $i,SV2: $i,SV20: reg] :
( ( ( c @ SV20 @ ( sK29_SY286 @ SV2 @ SV4 @ SV16 @ SV6 ) )
= $false )
| ( ( c @ SV20 @ france )
= $true )
| ( ( c @ SV6 @ france )
= $false )
| ( ( c @ SV6 @ paris )
= $false )
| ( ( c @ SV16 @ paris )
= $true )
| ( ( c @ SV16 @ ( sK9_SY283 @ SV4 @ SV2 @ SV6 ) )
= $false )
| ( ( a @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(304,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,303,302,301,300,271,268,267,266,265,261,260,259,257,256,254,249,248,247,246,244,241,234,233,231,230,228,217,214,111,109,98,95,91,89,86,84]) ).
thf(305,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEG006^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n011.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % 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 10:02:06 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.35
% 0.52/0.35 No.of.Axioms: 2
% 0.52/0.35
% 0.52/0.35 Length.of.Defs: 6571
% 0.52/0.35
% 0.52/0.35 Contains.Choice.Funs: false
% 0.52/0.35 .............
% 0.52/0.35
% 0.52/0.35 ********************************
% 0.52/0.35 * All subproblems solved! *
% 0.52/0.35 ********************************
% 0.52/0.35 % SZS status Theorem for /export/starexec/sandbox/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:304,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.52/0.35
% 0.52/0.35 %**** Beginning of derivation protocol ****
% 0.52/0.35 % SZS output start CNFRefutation
% See solution above
% 0.52/0.35
% 0.52/0.35 %**** End of derivation protocol ****
% 0.52/0.35 %**** no. of clauses in derivation: 299 ****
% 0.52/0.35 %**** clause counter: 304 ****
% 0.52/0.35
% 0.52/0.35 % SZS status Theorem for /export/starexec/sandbox/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:304,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------