%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG009^1 : 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 : n001.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 10:17:23 AM UTC 2026
% Result : Theorem 1.46s 0.56s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 49
% Syntax : Number of formulae : 376 ( 93 unt; 0 typ; 40 def)
% Number of atoms : 3854 ( 961 equ; 0 cnn)
% Maximal formula atoms : 9 ( 10 avg)
% Number of connectives : 8580 (2209 ~;1508 |; 67 &;4736 @)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 108 ( 108 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 68 usr; 8 con; 0-4 aty)
% Number of variables : 1687 ( 75 ^;1577 !; 35 ?;1687 :)
% 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_SY459,type,
sK10_SY459: $i > $i > reg > reg ).
thf(tp_sK11_SY460,type,
sK11_SY460: $i > $i > reg > reg ).
thf(tp_sK12_SY460,type,
sK12_SY460: $i > $i > reg > reg ).
thf(tp_sK13_SY461,type,
sK13_SY461: $i > $i > reg > reg ).
thf(tp_sK14_SY469,type,
sK14_SY469: $i > $i > reg > reg ).
thf(tp_sK15_SY471,type,
sK15_SY471: $i > $i > reg > reg ).
thf(tp_sK16_SY470,type,
sK16_SY470: $i > $i > reg > reg ).
thf(tp_sK17_SY472,type,
sK17_SY472: $i > $i > reg > reg ).
thf(tp_sK18_SY470,type,
sK18_SY470: $i > $i > reg > reg ).
thf(tp_sK19_SY472,type,
sK19_SY472: $i > $i > reg > reg ).
thf(tp_sK1_SY33,type,
sK1_SY33: $i ).
thf(tp_sK20_SY464,type,
sK20_SY464: $i > $i > reg > reg > reg ).
thf(tp_sK21_SY464,type,
sK21_SY464: $i > $i > reg > reg > reg ).
thf(tp_sK2_SY372,type,
sK2_SY372: $i ).
thf(tp_sK3_SY419,type,
sK3_SY419: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY420,type,
sK4_SY420: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY423,type,
sK5_SY423: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SX2,type,
sK6_SX2: $i > $i > reg ).
thf(tp_sK7_SY446,type,
sK7_SY446: reg > reg ).
thf(tp_sK8_SX2,type,
sK8_SX2: $i > $i > reg ).
thf(tp_sK9_SX2,type,
sK9_SX2: $i > $i > 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(2,axiom,
( mvalid
@ ( mbox @ fool
@ ^ [X: $i] : ( ec @ spain @ france ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(4,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_axiom_for_fool_a) ).
thf(5,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ ( mbox @ fool @ ( mbox @ fool @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_axiom_for_fool) ).
thf(6,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_axiom_for_fool) ).
thf(7,axiom,
! [X: reg,Y: reg] :
( ( c @ X @ Y )
=> ( c @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_symmetric) ).
thf(8,axiom,
! [X: reg] : ( c @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_reflexive) ).
thf(9,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
? [Z: reg] :
( ~ ( o @ Z @ paris )
& ~ ( eq @ Z @ spain ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
? [Z: reg] :
( ~ ( o @ Z @ paris )
& ~ ( eq @ Z @ spain ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [SY33: $i,SY34: $i] :
( ~ ( a @ SY33 @ SY34 )
| ? [SY4: reg] :
( ~ ? [SY13: reg] :
( ! [SY9: reg] :
( ( c @ SY9 @ SY13 )
=> ( c @ SY9 @ SY4 ) )
& ! [SY15: reg] :
( ( c @ SY15 @ SY13 )
=> ( c @ SY15 @ paris ) ) )
& ~ ( ! [SY23: reg] :
( ( c @ SY23 @ SY4 )
=> ( c @ SY23 @ spain ) )
& ! [SY24: reg] :
( ( c @ SY24 @ spain )
=> ( c @ SY24 @ SY4 ) ) ) ) ) )
= $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,
( ( ! [SY114: $i,SY115: $i] :
( ~ ( a @ SY114 @ SY115 )
| ( ! [SY94: reg] :
( ( c @ SY94 @ paris )
=> ( c @ SY94 @ france ) )
& ~ ! [SY95: reg] :
( ( c @ SY95 @ france )
=> ( c @ SY95 @ paris ) )
& ~ ? [SY96: reg] :
( ( c @ SY96 @ paris )
& ~ ? [SY76: reg] :
( ! [SY69: reg] :
( ( c @ SY69 @ SY76 )
=> ( c @ SY69 @ SY96 ) )
& ! [SY78: reg] :
( ( c @ SY78 @ SY76 )
=> ( c @ SY78 @ paris ) ) )
& ( c @ SY96 @ france )
& ~ ? [SY100: reg] :
( ! [SY84: reg] :
( ( c @ SY84 @ SY100 )
=> ( c @ SY84 @ SY96 ) )
& ! [SY102: reg] :
( ( c @ SY102 @ SY100 )
=> ( c @ SY102 @ 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,
( ( ! [SY160: $i,SY161: $i] :
( ~ ( fool @ SY160 @ SY161 )
| ( ( c @ spain @ france )
& ~ ? [SY152: reg] :
( ! [SY145: reg] :
( ( c @ SY145 @ SY152 )
=> ( c @ SY145 @ spain ) )
& ! [SY154: reg] :
( ( c @ SY154 @ SY152 )
=> ( c @ SY154 @ france ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,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,
( ( ! [SY235: $i,SY236: $i] :
( ~ ( a @ SY235 @ SY236 )
| ( ! [SY215: reg] :
( ( c @ SY215 @ catalunya )
=> ( c @ SY215 @ spain ) )
& ~ ! [SY216: reg] :
( ( c @ SY216 @ spain )
=> ( c @ SY216 @ catalunya ) )
& ? [SY217: reg] :
( ( c @ SY217 @ catalunya )
& ~ ? [SY197: reg] :
( ! [SY190: reg] :
( ( c @ SY190 @ SY197 )
=> ( c @ SY190 @ SY217 ) )
& ! [SY199: reg] :
( ( c @ SY199 @ SY197 )
=> ( c @ SY199 @ catalunya ) ) )
& ( c @ SY217 @ spain )
& ~ ? [SY221: reg] :
( ! [SY205: reg] :
( ( c @ SY205 @ SY221 )
=> ( c @ SY205 @ SY217 ) )
& ! [SY223: reg] :
( ( c @ SY223 @ SY221 )
=> ( c @ SY223 @ 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(15,plain,
( ( ! [SY286: $i,SY287: $i > $o] :
( ~ ! [SY288: $i] :
( ~ ( fool @ SY286 @ SY288 )
| ( SY287 @ SY288 ) )
| ! [SY289: $i] :
( ~ ( a @ SY286 @ SY289 )
| ( SY287 @ SY289 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,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(16,plain,
( ( ! [SY332: $i,SY333: $i > $o] :
( ~ ! [SY334: $i] :
( ~ ( fool @ SY332 @ SY334 )
| ( SY333 @ SY334 ) )
| ! [SY335: $i] :
( ~ ( fool @ SY332 @ SY335 )
| ! [SY328: $i] :
( ~ ( fool @ SY335 @ SY328 )
| ( SY333 @ SY328 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,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(17,plain,
( ( ! [SY363: $i,SY364: $i > $o] :
( ~ ! [SY365: $i] :
( ~ ( fool @ SY363 @ SY365 )
| ( SY364 @ SY365 ) )
| ( SY364 @ SY363 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,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(18,plain,
( ( ! [X: reg,Y: reg] :
( ( c @ X @ Y )
=> ( c @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,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(19,plain,
( ( ! [X: reg] : ( c @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[8,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(20,plain,
( ( ! [SY372: $i] :
( ~ ( a @ sK1_SY33 @ SY372 )
| ? [SY4: reg] :
( ~ ? [SY13: reg] :
( ! [SY9: reg] :
( ( c @ SY9 @ SY13 )
=> ( c @ SY9 @ SY4 ) )
& ! [SY15: reg] :
( ( c @ SY15 @ SY13 )
=> ( c @ SY15 @ paris ) ) )
& ~ ( ! [SY23: reg] :
( ( c @ SY23 @ SY4 )
=> ( c @ SY23 @ spain ) )
& ! [SY24: reg] :
( ( c @ SY24 @ spain )
=> ( c @ SY24 @ SY4 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(21,plain,
( ( ~ ( a @ sK1_SY33 @ sK2_SY372 )
| ? [SY4: reg] :
( ~ ? [SY13: reg] :
( ! [SY9: reg] :
( ( c @ SY9 @ SY13 )
=> ( c @ SY9 @ SY4 ) )
& ! [SY15: reg] :
( ( c @ SY15 @ SY13 )
=> ( c @ SY15 @ paris ) ) )
& ~ ( ! [SY23: reg] :
( ( c @ SY23 @ SY4 )
=> ( c @ SY23 @ spain ) )
& ! [SY24: reg] :
( ( c @ SY24 @ spain )
=> ( c @ SY24 @ SY4 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
( ( ~ ( ~ ( a @ sK1_SY33 @ sK2_SY372 )
| ? [SY4: reg] :
( ~ ? [SY13: reg] :
( ! [SY9: reg] :
( ( c @ SY9 @ SY13 )
=> ( c @ SY9 @ SY4 ) )
& ! [SY15: reg] :
( ( c @ SY15 @ SY13 )
=> ( c @ SY15 @ paris ) ) )
& ~ ( ! [SY23: reg] :
( ( c @ SY23 @ SY4 )
=> ( c @ SY23 @ spain ) )
& ! [SY24: reg] :
( ( c @ SY24 @ spain )
=> ( c @ SY24 @ SY4 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [X: reg] : ( c @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [X: reg,Y: reg] :
( ( c @ X @ Y )
=> ( c @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(25,plain,
( ( ! [SY363: $i,SY364: $i > $o] :
( ~ ! [SY365: $i] :
( ~ ( fool @ SY363 @ SY365 )
| ( SY364 @ SY365 ) )
| ( SY364 @ SY363 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [SY332: $i,SY333: $i > $o] :
( ~ ! [SY334: $i] :
( ~ ( fool @ SY332 @ SY334 )
| ( SY333 @ SY334 ) )
| ! [SY335: $i] :
( ~ ( fool @ SY332 @ SY335 )
| ! [SY328: $i] :
( ~ ( fool @ SY335 @ SY328 )
| ( SY333 @ SY328 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(27,plain,
( ( ! [SY286: $i,SY287: $i > $o] :
( ~ ! [SY288: $i] :
( ~ ( fool @ SY286 @ SY288 )
| ( SY287 @ SY288 ) )
| ! [SY289: $i] :
( ~ ( a @ SY286 @ SY289 )
| ( SY287 @ SY289 ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(28,plain,
( ( ! [SY235: $i,SY236: $i] :
( ~ ( a @ SY235 @ SY236 )
| ( ! [SY215: reg] :
( ( c @ SY215 @ catalunya )
=> ( c @ SY215 @ spain ) )
& ~ ! [SY216: reg] :
( ( c @ SY216 @ spain )
=> ( c @ SY216 @ catalunya ) )
& ? [SY217: reg] :
( ( c @ SY217 @ catalunya )
& ~ ? [SY197: reg] :
( ! [SY190: reg] :
( ( c @ SY190 @ SY197 )
=> ( c @ SY190 @ SY217 ) )
& ! [SY199: reg] :
( ( c @ SY199 @ SY197 )
=> ( c @ SY199 @ catalunya ) ) )
& ( c @ SY217 @ spain )
& ~ ? [SY221: reg] :
( ! [SY205: reg] :
( ( c @ SY205 @ SY221 )
=> ( c @ SY205 @ SY217 ) )
& ! [SY223: reg] :
( ( c @ SY223 @ SY221 )
=> ( c @ SY223 @ spain ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [SY160: $i,SY161: $i] :
( ~ ( fool @ SY160 @ SY161 )
| ( ( c @ spain @ france )
& ~ ? [SY152: reg] :
( ! [SY145: reg] :
( ( c @ SY145 @ SY152 )
=> ( c @ SY145 @ spain ) )
& ! [SY154: reg] :
( ( c @ SY154 @ SY152 )
=> ( c @ SY154 @ france ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(30,plain,
( ( ! [SY114: $i,SY115: $i] :
( ~ ( a @ SY114 @ SY115 )
| ( ! [SY94: reg] :
( ( c @ SY94 @ paris )
=> ( c @ SY94 @ france ) )
& ~ ! [SY95: reg] :
( ( c @ SY95 @ france )
=> ( c @ SY95 @ paris ) )
& ~ ? [SY96: reg] :
( ( c @ SY96 @ paris )
& ~ ? [SY76: reg] :
( ! [SY69: reg] :
( ( c @ SY69 @ SY76 )
=> ( c @ SY69 @ SY96 ) )
& ! [SY78: reg] :
( ( c @ SY78 @ SY76 )
=> ( c @ SY78 @ paris ) ) )
& ( c @ SY96 @ france )
& ~ ? [SY100: reg] :
( ! [SY84: reg] :
( ( c @ SY84 @ SY100 )
=> ( c @ SY84 @ SY96 ) )
& ! [SY102: reg] :
( ( c @ SY102 @ SY100 )
=> ( c @ SY102 @ france ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(31,plain,
( ( ~ ( ~ ( a @ sK1_SY33 @ sK2_SY372 )
| ? [SY4: reg] :
( ~ ? [SY13: reg] :
( ! [SY9: reg] :
( ( c @ SY9 @ SY13 )
=> ( c @ SY9 @ SY4 ) )
& ! [SY15: reg] :
( ( c @ SY15 @ SY13 )
=> ( c @ SY15 @ paris ) ) )
& ~ ( ! [SY23: reg] :
( ( c @ SY23 @ SY4 )
=> ( c @ SY23 @ spain ) )
& ! [SY24: reg] :
( ( c @ SY24 @ spain )
=> ( c @ SY24 @ SY4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,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(33,plain,
( ( ~ ( ~ ( a @ sK1_SY33 @ sK2_SY372 )
| ~ ! [SX0: reg] :
~ ~ ( ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,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(34,plain,
( ( ! [SX0: reg,SX1: reg] :
( ~ ( c @ SX0 @ SX1 )
| ( c @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,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(35,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)],[30,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(36,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)],[28,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(37,plain,
! [SV1: reg] :
( ( c @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(38,plain,
! [SV2: $i] :
( ( ! [SY385: $i > $o] :
( ~ ! [SY386: $i] :
( ~ ( fool @ SV2 @ SY386 )
| ( SY385 @ SY386 ) )
| ( SY385 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(39,plain,
! [SV3: $i] :
( ( ! [SY387: $i > $o] :
( ~ ! [SY388: $i] :
( ~ ( fool @ SV3 @ SY388 )
| ( SY387 @ SY388 ) )
| ! [SY389: $i] :
( ~ ( fool @ SV3 @ SY389 )
| ! [SY328: $i] :
( ~ ( fool @ SY389 @ SY328 )
| ( SY387 @ SY328 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(40,plain,
! [SV4: $i] :
( ( ! [SY391: $i > $o] :
( ~ ! [SY392: $i] :
( ~ ( fool @ SV4 @ SY392 )
| ( SY391 @ SY392 ) )
| ! [SY393: $i] :
( ~ ( a @ SV4 @ SY393 )
| ( SY391 @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(41,plain,
! [SV5: $i] :
( ( ! [SY394: $i] :
( ~ ( fool @ SV5 @ SY394 )
| ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(42,plain,
( ( ~ ( a @ sK1_SY33 @ sK2_SY372 )
| ~ ! [SX0: reg] :
~ ~ ( ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV6: reg] :
( ( ! [SY398: reg] :
( ~ ( c @ SV6 @ SY398 )
| ( c @ SY398 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
! [SV7: $i] :
( ( ! [SY399: $i] :
( ~ ( a @ SV7 @ SY399 )
| ~ ( ~ ~ ( ~ ! [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)],[35]) ).
thf(45,plain,
! [SV8: $i] :
( ( ! [SY409: $i] :
( ~ ( a @ SV8 @ SY409 )
| ~ ( ~ ~ ( ~ ! [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)],[36]) ).
thf(46,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ~ ! [SY419: $i] :
( ~ ( fool @ SV2 @ SY419 )
| ( SV9 @ SY419 ) )
| ( SV9 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ~ ! [SY420: $i] :
( ~ ( fool @ SV3 @ SY420 )
| ( SV10 @ SY420 ) )
| ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ~ ! [SY423: $i] :
( ~ ( fool @ SV4 @ SY423 )
| ( SV11 @ SY423 ) )
| ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV12: $i,SV5: $i] :
( ( ~ ( fool @ SV5 @ SV12 )
| ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
( ( ~ ( a @ sK1_SY33 @ sK2_SY372 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(52,plain,
! [SV13: reg,SV6: reg] :
( ( ~ ( c @ SV6 @ SV13 )
| ( c @ SV13 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(53,plain,
! [SV14: $i,SV7: $i] :
( ( ~ ( a @ SV7 @ SV14 )
| ~ ( ~ ~ ( ~ ! [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)],[44]) ).
thf(54,plain,
! [SV15: $i,SV8: $i] :
( ( ~ ( a @ SV8 @ SV15 )
| ~ ( ~ ~ ( ~ ! [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)],[45]) ).
thf(55,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ( ~ ! [SY419: $i] :
( ~ ( fool @ SV2 @ SY419 )
| ( SV9 @ SY419 ) ) )
= $true )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ( ~ ! [SY420: $i] :
( ~ ( fool @ SV3 @ SY420 )
| ( SV10 @ SY420 ) ) )
= $true )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ( ~ ! [SY423: $i] :
( ~ ( fool @ SV4 @ SY423 )
| ( SV11 @ SY423 ) ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(58,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( fool @ SV5 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(59,plain,
( ( a @ sK1_SY33 @ sK2_SY372 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ spain )
| ( c @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(61,plain,
! [SV13: reg,SV6: reg] :
( ( ( ~ ( c @ SV6 @ SV13 ) )
= $true )
| ( ( c @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(62,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ( a @ SV7 @ SV14 ) )
= $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)],[53]) ).
thf(63,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( a @ SV8 @ SV15 ) )
= $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)],[54]) ).
thf(64,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ( ! [SY419: $i] :
( ~ ( fool @ SV2 @ SY419 )
| ( SV9 @ SY419 ) ) )
= $false )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ( ! [SY420: $i] :
( ~ ( fool @ SV3 @ SY420 )
| ( SV10 @ SY420 ) ) )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ( ! [SY423: $i] :
( ~ ( fool @ SV4 @ SY423 )
| ( SV11 @ SY423 ) ) )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV12: $i,SV5: $i] :
( ( ( fool @ SV5 @ SV12 )
= $false )
| ( ( ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV16: reg] :
( ( ~ ~ ( ~ ~ ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV13: reg,SV6: reg] :
( ( ( c @ SV6 @ SV13 )
= $false )
| ( ( c @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV14: $i,SV7: $i] :
( ( ( a @ SV7 @ SV14 )
= $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)],[62]) ).
thf(71,plain,
! [SV15: $i,SV8: $i] :
( ( ( a @ SV8 @ SV15 )
= $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)],[63]) ).
thf(72,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ ( sK3_SY419 @ SV9 @ SV2 ) )
| ( SV9 @ ( sK3_SY419 @ SV9 @ SV2 ) ) )
= $false )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(73,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
| ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(74,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ( ~ ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) )
| ( SV11 @ ( sK5_SY423 @ SV11 @ SV4 ) ) )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(75,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV16: reg] :
( ( ~ ( ~ ~ ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV14: $i,SV7: $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 @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV15: $i,SV8: $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 @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ ( sK3_SY419 @ SV9 @ SV2 ) ) )
= $false )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV2: $i,SV9: $i > $o] :
( ( ( SV9 @ ( sK3_SY419 @ SV9 @ SV2 ) )
= $false )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV3: $i,SV10: $i > $o] :
( ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ( ~ ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) ) )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(84,plain,
! [SV4: $i,SV11: $i > $o] :
( ( ( SV11 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( c @ spain @ france ) )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(86,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
! [SV16: reg] :
( ( ~ ~ ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(88,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(89,plain,
! [SV14: $i,SV7: $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 @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(90,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(91,plain,
! [SV15: $i,SV8: $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 @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(92,plain,
! [SV9: $i > $o,SV2: $i] :
( ( ( fool @ SV2 @ ( sK3_SY419 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(93,plain,
! [SV10: $i > $o,SV3: $i] :
( ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true )
| ( ( ! [SY421: $i] :
( ~ ( fool @ SV3 @ SY421 )
| ! [SY422: $i] :
( ~ ( fool @ SY421 @ SY422 )
| ( SV10 @ SY422 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(94,plain,
! [SV10: $i > $o,SV17: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV17 )
| ! [SY451: $i] :
( ~ ( fool @ SV17 @ SY451 )
| ( SV10 @ SY451 ) ) )
= $true )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV11: $i > $o,SV4: $i] :
( ( ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( a @ SV4 @ SY424 )
| ( SV11 @ SY424 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(96,plain,
! [SV11: $i > $o,SV18: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV18 )
| ( SV11 @ SV18 ) )
= $true )
| ( ( SV11 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV12: $i,SV5: $i] :
( ( ( c @ spain @ france )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(98,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(99,plain,
! [SV16: reg] :
( ( ( ~ ~ ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(101,plain,
! [SV14: $i,SV7: $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 @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(103,plain,
! [SV15: $i,SV8: $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 @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(104,plain,
! [SV10: $i > $o,SV19: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV19 )
| ! [SY452: $i] :
( ~ ( fool @ SV19 @ SY452 )
| ( SV10 @ SY452 ) ) )
= $true )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV10: $i > $o,SV17: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV17 ) )
= $true )
| ( ( ! [SY451: $i] :
( ~ ( fool @ SV17 @ SY451 )
| ( SV10 @ SY451 ) ) )
= $true )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV11: $i > $o,SV20: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV20 )
| ( SV11 @ SV20 ) )
= $true )
| ( ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV11: $i > $o,SV18: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV18 ) )
= $true )
| ( ( SV11 @ SV18 )
= $true )
| ( ( SV11 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV16: reg] :
( ( ( ~ ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV14: $i,SV7: $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 @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV15: $i,SV8: $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 @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV10: $i > $o,SV19: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV19 ) )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( fool @ SV19 @ SY452 )
| ( SV10 @ SY452 ) ) )
= $true )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV10: $i > $o,SV17: $i,SV3: $i] :
( ( ( fool @ SV3 @ SV17 )
= $false )
| ( ( ! [SY451: $i] :
( ~ ( fool @ SV17 @ SY451 )
| ( SV10 @ SY451 ) ) )
= $true )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV11: $i > $o,SV20: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV20 ) )
= $true )
| ( ( SV11 @ SV20 )
= $true )
| ( ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV11: $i > $o,SV18: $i,SV4: $i] :
( ( ( a @ SV4 @ SV18 )
= $false )
| ( ( SV11 @ SV18 )
= $true )
| ( ( SV11 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV12: $i,SV5: $i] :
( ( ( ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(119,plain,
! [SV16: reg] :
( ( ( ~ ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(120,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(121,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(122,plain,
! [SV14: $i,SV7: $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 @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(123,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(124,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(125,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[113]) ).
thf(126,plain,
! [SV10: $i > $o,SV19: $i,SV3: $i] :
( ( ( fool @ SV3 @ SV19 )
= $false )
| ( ( ! [SY452: $i] :
( ~ ( fool @ SV19 @ SY452 )
| ( SV10 @ SY452 ) ) )
= $true )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV3: $i,SV10: $i > $o,SV21: $i,SV17: $i] :
( ( ( ~ ( fool @ SV17 @ SV21 )
| ( SV10 @ SV21 ) )
= $true )
| ( ( fool @ SV3 @ SV17 )
= $false )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV11: $i > $o,SV20: $i,SV4: $i] :
( ( ( a @ SV4 @ SV20 )
= $false )
| ( ( SV11 @ SV20 )
= $true )
| ( ( fool @ SV4 @ ( sK5_SY423 @ SV11 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV12: $i,SV5: $i,SV22: reg] :
( ( ( ~ ~ ( ~ ! [SY459: reg] :
( ~ ( c @ SY459 @ SV22 )
| ( c @ SY459 @ spain ) )
| ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(130,plain,
! [SV16: reg] :
( ( ( ! [SY446: reg] :
~ ~ ( ~ ! [SY447: reg] :
( ~ ( c @ SY447 @ SY446 )
| ( c @ SY447 @ SV16 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY446 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV14: $i,SV7: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(132,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(133,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV15: $i,SV8: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(135,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(136,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(137,plain,
! [SV3: $i,SV10: $i > $o,SV24: $i,SV19: $i] :
( ( ( ~ ( fool @ SV19 @ SV24 )
| ( SV10 @ SV24 ) )
= $true )
| ( ( fool @ SV3 @ SV19 )
= $false )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV3: $i,SV10: $i > $o,SV21: $i,SV17: $i] :
( ( ( ~ ( fool @ SV17 @ SV21 ) )
= $true )
| ( ( SV10 @ SV21 )
= $true )
| ( ( fool @ SV3 @ SV17 )
= $false )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV12: $i,SV5: $i,SV22: reg] :
( ( ( ~ ( ~ ! [SY459: reg] :
( ~ ( c @ SY459 @ SV22 )
| ( c @ SY459 @ spain ) )
| ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) ) )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV16: reg] :
( ( ( ~ ~ ( ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY467 @ SV16 ) )
| ~ ! [SY468: reg] :
( ~ ( c @ SY468 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY468 @ paris ) ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(141,plain,
! [SV14: $i,SV7: $i,SV25: reg] :
( ( ( ~ ( c @ SV25 @ paris )
| ( c @ SV25 @ france ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV14: $i,SV7: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(143,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ( ~ ~ ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(144,plain,
! [SV15: $i,SV8: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ catalunya )
| ( c @ SV26 @ spain ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV15: $i,SV8: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(146,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV3: $i,SV10: $i > $o,SV24: $i,SV19: $i] :
( ( ( ~ ( fool @ SV19 @ SV24 ) )
= $true )
| ( ( SV10 @ SV24 )
= $true )
| ( ( fool @ SV3 @ SV19 )
= $false )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(148,plain,
! [SV3: $i,SV10: $i > $o,SV21: $i,SV17: $i] :
( ( ( fool @ SV17 @ SV21 )
= $false )
| ( ( SV10 @ SV21 )
= $true )
| ( ( fool @ SV3 @ SV17 )
= $false )
| ( ( SV10 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(149,plain,
! [SV12: $i,SV5: $i,SV22: reg] :
( ( ( ~ ! [SY459: reg] :
( ~ ( c @ SY459 @ SV22 )
| ( c @ SY459 @ spain ) )
| ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(150,plain,
! [SV16: reg] :
( ( ( ~ ( ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY467 @ SV16 ) )
| ~ ! [SY468: reg] :
( ~ ( c @ SY468 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY468 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(151,plain,
! [SV14: $i,SV7: $i,SV25: reg] :
( ( ( ~ ( c @ SV25 @ paris ) )
= $true )
| ( ( c @ SV25 @ france )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(152,plain,
! [SV7: $i,SV14: $i] :
( ( ( ~ ( c @ ( sK8_SX2 @ SV14 @ SV7 ) @ france )
| ( c @ ( sK8_SX2 @ SV14 @ SV7 ) @ paris ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(153,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ~ ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(154,plain,
! [SV15: $i,SV8: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ catalunya ) )
= $true )
| ( ( c @ SV26 @ spain )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(155,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK9_SX2 @ SV15 @ SV8 ) @ spain )
| ( c @ ( sK9_SX2 @ SV15 @ SV8 ) @ catalunya ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(156,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(157,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(158,plain,
! [SV3: $i,SV10: $i > $o,SV24: $i,SV19: $i] :
( ( ( fool @ SV19 @ SV24 )
= $false )
| ( ( SV10 @ SV24 )
= $true )
| ( ( fool @ SV3 @ SV19 )
= $false )
| ( ( fool @ SV3 @ ( sK4_SY420 @ SV10 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(159,plain,
! [SV12: $i,SV5: $i,SV22: reg] :
( ( ( ~ ! [SY459: reg] :
( ~ ( c @ SY459 @ SV22 )
| ( c @ SY459 @ spain ) ) )
= $true )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV16: reg] :
( ( ( ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY467 @ SV16 ) )
| ~ ! [SY468: reg] :
( ~ ( c @ SY468 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY468 @ paris ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV14: $i,SV7: $i,SV25: reg] :
( ( ( c @ SV25 @ paris )
= $false )
| ( ( c @ SV25 @ france )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV7: $i,SV14: $i] :
( ( ( ~ ( c @ ( sK8_SX2 @ SV14 @ SV7 ) @ france ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(163,plain,
! [SV7: $i,SV14: $i] :
( ( ( c @ ( sK8_SX2 @ SV14 @ SV7 ) @ paris )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(164,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ~ ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV15: $i,SV8: $i,SV26: reg] :
( ( ( c @ SV26 @ catalunya )
= $false )
| ( ( c @ SV26 @ spain )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK9_SX2 @ SV15 @ SV8 ) @ spain ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV8: $i,SV15: $i] :
( ( ( c @ ( sK9_SX2 @ SV15 @ SV8 ) @ catalunya )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(168,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(169,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(170,plain,
! [SV12: $i,SV5: $i,SV22: reg] :
( ( ( ! [SY459: reg] :
( ~ ( c @ SY459 @ SV22 )
| ( c @ SY459 @ spain ) ) )
= $false )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV16: reg] :
( ( ( ~ ! [SY467: reg] :
( ~ ( c @ SY467 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY467 @ SV16 ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(172,plain,
! [SV16: reg] :
( ( ( ~ ! [SY468: reg] :
( ~ ( c @ SY468 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY468 @ paris ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(173,plain,
! [SV7: $i,SV14: $i] :
( ( ( c @ ( sK8_SX2 @ SV14 @ SV7 ) @ france )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(174,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(175,plain,
! [SV8: $i,SV15: $i] :
( ( ( c @ ( sK9_SX2 @ SV15 @ SV8 ) @ spain )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(176,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
| ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(177,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
| ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(178,plain,
! [SV22: reg,SV5: $i,SV12: $i] :
( ( ( ~ ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
| ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain ) )
= $false )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[170]) ).
thf(179,plain,
! [SV16: reg] :
( ( ( ! [SY467: reg] :
( ~ ( c @ SY467 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY467 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(180,plain,
! [SV16: reg] :
( ( ( ! [SY468: reg] :
( ~ ( c @ SY468 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SY468 @ paris ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(181,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ( c @ SV23 @ paris )
| ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(182,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(183,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(184,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(185,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(186,plain,
! [SV22: reg,SV5: $i,SV12: $i] :
( ( ( ~ ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 ) )
= $false )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(187,plain,
! [SV22: reg,SV5: $i,SV12: $i] :
( ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(188,plain,
! [SV16: reg,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SV27 @ SV16 ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV16: reg,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
| ( c @ SV28 @ paris ) )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ( c @ SV23 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(191,plain,
! [SV8: $i,SV15: $i] :
( ( ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ catalunya )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(192,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(193,plain,
! [SV8: $i,SV15: $i] :
( ( ( c @ ( sK6_SX2 @ SV15 @ SV8 ) @ spain )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(194,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(195,plain,
! [SV22: reg,SV5: $i,SV12: $i] :
( ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( ~ ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(196,plain,
! [SV5: $i,SV12: $i,SV22: reg] :
( ( ( ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(197,plain,
! [SV16: reg,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK7_SY446 @ SV16 ) ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(198,plain,
! [SV16: reg,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK7_SY446 @ SV16 ) ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(199,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(200,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV5: $i,SV12: $i,SV22: reg] :
( ( ( ! [SY460: reg] :
( ~ ( c @ SY460 @ SV22 )
| ( c @ SY460 @ france ) ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK11_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 )
| ( c @ ( sK11_SY460 @ SV5 @ SV12 @ SV22 ) @ france ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[196]) ).
thf(204,plain,
! [SV16: reg,SV27: reg] :
( ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(205,plain,
! [SV16: reg,SV28: reg] :
( ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( ~ ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(206,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV8: $i,SV15: $i] :
( ( ( ! [SY453: reg] :
~ ~ ( ~ ! [SY454: reg] :
( ~ ( c @ SY454 @ SY453 )
| ( c @ SY454 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY453 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(208,plain,
! [SV8: $i,SV15: $i] :
( ( ( ! [SY456: reg] :
~ ~ ( ~ ! [SY457: reg] :
( ~ ( c @ SY457 @ SY456 )
| ( c @ SY457 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY456 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(209,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK12_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 )
| ( c @ ( sK12_SY460 @ SV5 @ SV12 @ SV22 ) @ france ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(210,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK11_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(211,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( c @ ( sK11_SY460 @ SV5 @ SV12 @ SV22 ) @ france )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(212,plain,
! [SV27: reg,SV16: reg] :
( ( ( ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $false )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV28: reg,SV16: reg] :
( ( ( ~ ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $false )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ~ ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(215,plain,
! [SV8: $i,SV15: $i,SV29: reg] :
( ( ( ~ ~ ( ~ ! [SY469: reg] :
( ~ ( c @ SY469 @ SV29 )
| ( c @ SY469 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV8: $i,SV15: $i,SV30: reg] :
( ( ( ~ ~ ( ~ ! [SY471: reg] :
( ~ ( c @ SY471 @ SV30 )
| ( c @ SY471 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK12_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 ) )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(218,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( c @ ( sK12_SY460 @ SV5 @ SV12 @ SV22 ) @ france )
= $false )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(219,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( c @ ( sK11_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 )
= $true )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ spain )
= $false )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(220,plain,
! [SV27: reg,SV16: reg] :
( ( ( ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(221,plain,
! [SV28: reg,SV16: reg] :
( ( ( ~ ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(222,plain,
! [SV14: $i,SV7: $i,SV23: reg] :
( ( ( ! [SY461: reg] :
~ ~ ( ~ ! [SY462: reg] :
( ~ ( c @ SY462 @ SY461 )
| ( c @ SY462 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY461 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(223,plain,
! [SV8: $i,SV15: $i,SV29: reg] :
( ( ( ~ ( ~ ! [SY469: reg] :
( ~ ( c @ SY469 @ SV29 )
| ( c @ SY469 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(224,plain,
! [SV8: $i,SV15: $i,SV30: reg] :
( ( ( ~ ( ~ ! [SY471: reg] :
( ~ ( c @ SY471 @ SV30 )
| ( c @ SY471 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(225,plain,
! [SV22: reg,SV12: $i,SV5: $i] :
( ( ( c @ ( sK12_SY460 @ SV5 @ SV12 @ SV22 ) @ SV22 )
= $true )
| ( ( c @ ( sK10_SY459 @ SV12 @ SV5 @ SV22 ) @ SV22 )
= $true )
| ( ( fool @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV27: reg,SV16: reg] :
( ( ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $false )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(227,plain,
! [SV28: reg,SV16: reg] :
( ( ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) )
| ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $false )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(228,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ! [SY473: reg] :
( ~ ( c @ SY473 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY473 @ SV23 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY474 @ paris ) ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(229,plain,
! [SV8: $i,SV15: $i,SV29: reg] :
( ( ( ~ ! [SY469: reg] :
( ~ ( c @ SY469 @ SV29 )
| ( c @ SY469 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(230,plain,
! [SV8: $i,SV15: $i,SV30: reg] :
( ( ( ~ ! [SY471: reg] :
( ~ ( c @ SY471 @ SV30 )
| ( c @ SY471 @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
| ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(231,plain,
! [SV27: reg,SV16: reg] :
( ( ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) ) )
= $false )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(232,plain,
! [SV27: reg,SV16: reg] :
( ( ( ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $false )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(233,plain,
! [SV28: reg,SV16: reg] :
( ( ( ~ ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) ) )
= $false )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(234,plain,
! [SV28: reg,SV16: reg] :
( ( ( ~ ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $false )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(235,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ~ ( ~ ! [SY473: reg] :
( ~ ( c @ SY473 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY473 @ SV23 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY474 @ paris ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(236,plain,
! [SV8: $i,SV15: $i,SV29: reg] :
( ( ( ~ ! [SY469: reg] :
( ~ ( c @ SY469 @ SV29 )
| ( c @ SY469 @ ( sK6_SX2 @ SV15 @ SV8 ) ) ) )
= $true )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV8: $i,SV15: $i,SV30: reg] :
( ( ( ~ ! [SY471: reg] :
( ~ ( c @ SY471 @ SV30 )
| ( c @ SY471 @ ( sK6_SX2 @ SV15 @ SV8 ) ) ) )
= $true )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(238,plain,
! [SV27: reg,SV16: reg] :
( ( ( ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(239,plain,
! [SV27: reg,SV16: reg] :
( ( ( ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(240,plain,
! [SV28: reg,SV16: reg] :
( ( ( ! [SY449: reg] :
( ~ ( c @ SY449 @ SV16 )
| ( c @ SY449 @ spain ) ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(241,plain,
! [SV28: reg,SV16: reg] :
( ( ( ! [SY450: reg] :
( ~ ( c @ SY450 @ spain )
| ( c @ SY450 @ SV16 ) ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(242,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ~ ! [SY473: reg] :
( ~ ( c @ SY473 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY473 @ SV23 ) )
| ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY474 @ paris ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV8: $i,SV15: $i,SV29: reg] :
( ( ( ! [SY469: reg] :
( ~ ( c @ SY469 @ SV29 )
| ( c @ SY469 @ ( sK6_SX2 @ SV15 @ SV8 ) ) ) )
= $false )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(244,plain,
! [SV8: $i,SV15: $i,SV30: reg] :
( ( ( ! [SY471: reg] :
( ~ ( c @ SY471 @ SV30 )
| ( c @ SY471 @ ( sK6_SX2 @ SV15 @ SV8 ) ) ) )
= $false )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(245,plain,
! [SV27: reg,SV16: reg,SV31: reg] :
( ( ( ~ ( c @ SV31 @ SV16 )
| ( c @ SV31 @ spain ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV27: reg,SV16: reg,SV32: reg] :
( ( ( ~ ( c @ SV32 @ spain )
| ( c @ SV32 @ SV16 ) )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV28: reg,SV16: reg,SV33: reg] :
( ( ( ~ ( c @ SV33 @ SV16 )
| ( c @ SV33 @ spain ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(248,plain,
! [SV28: reg,SV16: reg,SV34: reg] :
( ( ( ~ ( c @ SV34 @ spain )
| ( c @ SV34 @ SV16 ) )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(249,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ~ ! [SY473: reg] :
( ~ ( c @ SY473 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY473 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(250,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ~ ! [SY474: reg] :
( ~ ( c @ SY474 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY474 @ paris ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(251,plain,
! [SV29: reg,SV15: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
| ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(252,plain,
! [SV30: reg,SV15: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
| ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[244]) ).
thf(253,plain,
! [SV27: reg,SV16: reg,SV31: reg] :
( ( ( ~ ( c @ SV31 @ SV16 ) )
= $true )
| ( ( c @ SV31 @ spain )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV27: reg,SV16: reg,SV32: reg] :
( ( ( ~ ( c @ SV32 @ spain ) )
= $true )
| ( ( c @ SV32 @ SV16 )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(255,plain,
! [SV28: reg,SV16: reg,SV33: reg] :
( ( ( ~ ( c @ SV33 @ SV16 ) )
= $true )
| ( ( c @ SV33 @ spain )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV28: reg,SV16: reg,SV34: reg] :
( ( ( ~ ( c @ SV34 @ spain ) )
= $true )
| ( ( c @ SV34 @ SV16 )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(257,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ! [SY473: reg] :
( ~ ( c @ SY473 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY473 @ SV23 ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(258,plain,
! [SV23: reg,SV7: $i,SV14: $i] :
( ( ( ! [SY474: reg] :
( ~ ( c @ SY474 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SY474 @ paris ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(259,plain,
! [SV29: reg,SV15: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 ) )
= $false )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(260,plain,
! [SV29: reg,SV15: $i,SV8: $i] :
( ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(261,plain,
! [SV30: reg,SV15: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 ) )
= $false )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(262,plain,
! [SV30: reg,SV15: $i,SV8: $i] :
( ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(263,plain,
! [SV27: reg,SV16: reg,SV31: reg] :
( ( ( c @ SV31 @ SV16 )
= $false )
| ( ( c @ SV31 @ spain )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV27: reg,SV16: reg,SV32: reg] :
( ( ( c @ SV32 @ spain )
= $false )
| ( ( c @ SV32 @ SV16 )
= $true )
| ( ( c @ SV27 @ SV16 )
= $true )
| ( ( c @ SV27 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(265,plain,
! [SV28: reg,SV16: reg,SV33: reg] :
( ( ( c @ SV33 @ SV16 )
= $false )
| ( ( c @ SV33 @ spain )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(266,plain,
! [SV28: reg,SV16: reg,SV34: reg] :
( ( ( c @ SV34 @ spain )
= $false )
| ( ( c @ SV34 @ SV16 )
= $true )
| ( ( c @ SV28 @ paris )
= $true )
| ( ( c @ SV28 @ ( sK7_SY446 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(267,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV35: reg] :
( ( ( ~ ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SV35 @ SV23 ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(268,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV36: reg] :
( ( ( ~ ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
| ( c @ SV36 @ paris ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(269,plain,
! [SV29: reg,SV15: $i,SV8: $i] :
( ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( ~ ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(270,plain,
! [SV15: $i,SV8: $i,SV29: reg] :
( ( ( ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(271,plain,
! [SV30: reg,SV15: $i,SV8: $i] :
( ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( ~ ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(272,plain,
! [SV15: $i,SV8: $i,SV30: reg] :
( ( ( ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(273,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV35: reg] :
( ( ( ~ ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) ) )
= $true )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(274,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV36: reg] :
( ( ( ~ ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) ) )
= $true )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(275,plain,
! [SV15: $i,SV8: $i,SV29: reg] :
( ( ( ! [SY470: reg] :
( ~ ( c @ SY470 @ SV29 )
| ( c @ SY470 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(276,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK16_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 )
| ( c @ ( sK16_SY470 @ SV15 @ SV8 @ SV29 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[270]) ).
thf(277,plain,
! [SV15: $i,SV8: $i,SV30: reg] :
( ( ( ! [SY472: reg] :
( ~ ( c @ SY472 @ SV30 )
| ( c @ SY472 @ spain ) ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(278,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK17_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 )
| ( c @ ( sK17_SY472 @ SV15 @ SV8 @ SV30 ) @ spain ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(279,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV35: reg] :
( ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(280,plain,
! [SV23: reg,SV7: $i,SV14: $i,SV36: reg] :
( ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(281,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK18_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 )
| ( c @ ( sK18_SY470 @ SV15 @ SV8 @ SV29 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[275]) ).
thf(282,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK16_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(283,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK16_SY470 @ SV15 @ SV8 @ SV29 ) @ catalunya )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(284,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK19_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 )
| ( c @ ( sK19_SY472 @ SV15 @ SV8 @ SV30 ) @ spain ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(285,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK17_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(286,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK17_SY472 @ SV15 @ SV8 @ SV30 ) @ spain )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(287,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(288,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ~ ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(289,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK18_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 ) )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(290,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK18_SY470 @ SV15 @ SV8 @ SV29 ) @ catalunya )
= $false )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(291,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK16_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 )
= $true )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(292,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( ~ ( c @ ( sK19_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 ) )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(293,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK19_SY472 @ SV15 @ SV8 @ SV30 ) @ spain )
= $false )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(294,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK17_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 )
= $true )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ ( sK6_SX2 @ SV15 @ SV8 ) )
= $false )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(295,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(296,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ france )
| ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(297,plain,
! [SV29: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK18_SY470 @ SV15 @ SV8 @ SV29 ) @ SV29 )
= $true )
| ( ( c @ ( sK14_SY469 @ SV8 @ SV15 @ SV29 ) @ SV29 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(298,plain,
! [SV30: reg,SV8: $i,SV15: $i] :
( ( ( c @ ( sK19_SY472 @ SV15 @ SV8 @ SV30 ) @ SV30 )
= $true )
| ( ( c @ ( sK15_SY471 @ SV8 @ SV15 @ SV30 ) @ SV30 )
= $true )
| ( ( a @ SV8 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(299,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(300,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(301,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( c @ SV23 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(302,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( c @ SV23 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(303,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(304,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ~ ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(305,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(306,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ~ ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(307,plain,
! [SV7: $i,SV14: $i,SV35: reg,SV23: reg] :
( ( ( ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(308,plain,
! [SV7: $i,SV14: $i,SV36: reg,SV23: reg] :
( ( ( ! [SY464: reg] :
~ ~ ( ~ ! [SY465: reg] :
( ~ ( c @ SY465 @ SY464 )
| ( c @ SY465 @ SV23 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY464 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(309,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY475 @ SV23 ) )
| ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY476 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(310,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY477 @ SV23 ) )
| ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY478 @ france ) ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(311,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ~ ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY475 @ SV23 ) )
| ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY476 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(312,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ~ ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY477 @ SV23 ) )
| ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY478 @ france ) ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(313,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY475 @ SV23 ) )
| ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY476 @ france ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(314,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY477 @ SV23 ) )
| ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY478 @ france ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(315,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY475: reg] :
( ~ ( c @ SY475 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY475 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(316,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY476: reg] :
( ~ ( c @ SY476 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY476 @ france ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(317,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY477: reg] :
( ~ ( c @ SY477 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY477 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(318,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ~ ! [SY478: reg] :
( ~ ( c @ SY478 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY478 @ france ) ) )
= $false )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(319,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ! [SY475: reg] :
( ~ ( c @ SY475 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY475 @ SV23 ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(320,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i] :
( ( ( ! [SY476: reg] :
( ~ ( c @ SY476 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SY476 @ france ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(321,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ! [SY477: reg] :
( ~ ( c @ SY477 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY477 @ SV23 ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(322,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i] :
( ( ( ! [SY478: reg] :
( ~ ( c @ SY478 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SY478 @ france ) ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(323,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV37: reg] :
( ( ( ~ ( c @ SV37 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SV37 @ SV23 ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(324,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV38: reg] :
( ( ( ~ ( c @ SV38 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
| ( c @ SV38 @ france ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV39: reg] :
( ( ( ~ ( c @ SV39 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SV39 @ SV23 ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(326,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV40: reg] :
( ( ( ~ ( c @ SV40 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
| ( c @ SV40 @ france ) )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(327,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV37: reg] :
( ( ( ~ ( c @ SV37 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) ) )
= $true )
| ( ( c @ SV37 @ SV23 )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(328,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV38: reg] :
( ( ( ~ ( c @ SV38 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) ) )
= $true )
| ( ( c @ SV38 @ france )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(329,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV39: reg] :
( ( ( ~ ( c @ SV39 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) ) )
= $true )
| ( ( c @ SV39 @ SV23 )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(330,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV40: reg] :
( ( ( ~ ( c @ SV40 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) ) )
= $true )
| ( ( c @ SV40 @ france )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(331,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV37: reg] :
( ( ( c @ SV37 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
= $false )
| ( ( c @ SV37 @ SV23 )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(332,plain,
! [SV23: reg,SV35: reg,SV14: $i,SV7: $i,SV38: reg] :
( ( ( c @ SV38 @ ( sK20_SY464 @ SV7 @ SV14 @ SV35 @ SV23 ) )
= $false )
| ( ( c @ SV38 @ france )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV35 @ SV23 )
= $true )
| ( ( c @ SV35 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(333,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV39: reg] :
( ( ( c @ SV39 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
= $false )
| ( ( c @ SV39 @ SV23 )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(334,plain,
! [SV23: reg,SV36: reg,SV14: $i,SV7: $i,SV40: reg] :
( ( ( c @ SV40 @ ( sK21_SY464 @ SV7 @ SV14 @ SV36 @ SV23 ) )
= $false )
| ( ( c @ SV40 @ france )
= $true )
| ( ( c @ SV23 @ france )
= $false )
| ( ( c @ SV23 @ paris )
= $false )
| ( ( c @ SV36 @ paris )
= $true )
| ( ( c @ SV36 @ ( sK13_SY461 @ SV14 @ SV7 @ SV23 ) )
= $false )
| ( ( a @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(335,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,334,333,332,331,298,297,294,293,291,290,286,283,266,265,264,263,225,219,218,211,193,191,175,173,167,165,163,161,158,148,128,117,97,92,80,69,59]) ).
thf(336,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG009^1 : 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
% 0.13/0.18 % Computer : n001.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Oct 6 10:08:08 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/0.56
% 1.46/0.56 No.of.Axioms: 8
% 1.46/0.56
% 1.46/0.56 Length.of.Defs: 6571
% 1.46/0.56
% 1.46/0.56 Contains.Choice.Funs: false
% 1.46/0.56 ................
% 1.46/0.56
% 1.46/0.56 ********************************
% 1.46/0.56 * All subproblems solved! *
% 1.46/0.56 ********************************
% 1.46/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,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:335,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.46/0.56
% 1.46/0.56 %**** Beginning of derivation protocol ****
% 1.46/0.56 % SZS output start CNFRefutation
% See solution above
% 1.46/0.56
% 1.46/0.56 %**** End of derivation protocol ****
% 1.46/0.56 %**** no. of clauses in derivation: 336 ****
% 1.46/0.56 %**** clause counter: 335 ****
% 1.46/0.56
% 1.46/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,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:335,loop_count:0,foatp_calls:1,translation:fof_full)
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