%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG003^1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:22 AM UTC 2026
% Result : Theorem 80.63s 13.61s
% Output : CNFRefutation 80.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 45
% Syntax : Number of formulae : 289 ( 73 unt; 0 typ; 40 def)
% Number of atoms : 3054 ( 762 equ; 0 cnn)
% Maximal formula atoms : 7 ( 10 avg)
% Number of connectives : 6902 (1820 ~;1184 |; 57 &;3804 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 65 usr; 8 con; 0-4 aty)
% Number of variables : 1308 ( 73 ^;1212 !; 23 ?;1308 :)
% 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_SY314,type,
sK10_SY314: $i > $i > reg > reg ).
thf(tp_sK11_SY322,type,
sK11_SY322: $i > $i > reg > reg ).
thf(tp_sK12_SY324,type,
sK12_SY324: $i > $i > reg > reg ).
thf(tp_sK13_SY323,type,
sK13_SY323: $i > $i > reg > reg ).
thf(tp_sK14_SY325,type,
sK14_SY325: $i > $i > reg > reg ).
thf(tp_sK15_SY323,type,
sK15_SY323: $i > $i > reg > reg ).
thf(tp_sK16_SY325,type,
sK16_SY325: $i > $i > reg > reg ).
thf(tp_sK17_SY317,type,
sK17_SY317: $i > $i > reg > reg > reg ).
thf(tp_sK18_SY317,type,
sK18_SY317: $i > $i > reg > reg > reg ).
thf(tp_sK1_SY8,type,
sK1_SY8: $i ).
thf(tp_sK2_SY257,type,
sK2_SY257: $i ).
thf(tp_sK3_SY285,type,
sK3_SY285: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SX2,type,
sK4_SX2: $i > $i > reg ).
thf(tp_sK5_SX2,type,
sK5_SX2: $i > $i > reg ).
thf(tp_sK6_SX2,type,
sK6_SX2: $i > $i > reg ).
thf(tp_sK7_SY320,type,
sK7_SY320: $i > $i > reg > reg ).
thf(tp_sK8_SY321,type,
sK8_SY321: $i > $i > reg > reg ).
thf(tp_sK9_SY321,type,
sK9_SY321: $i > $i > reg > reg ).
thf(tp_spain,type,
spain: reg ).
thf(tp_tpp,type,
tpp: reg > reg > $o ).
thf(dc,definition,
( dc
= ( ^ [X: reg,Y: reg] :
~ ( c @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dc) ).
thf(ec,definition,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec) ).
thf(eq,definition,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reg_type) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(ntpp,definition,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ntpp) ).
thf(o,definition,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ X )
& ( p @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o) ).
thf(p,definition,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p) ).
thf(po,definition,
( po
= ( ^ [X: reg,Y: reg] :
( ( o @ X @ Y )
& ~ ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',po) ).
thf(pp,definition,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pp) ).
thf(tpp,definition,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tpp) ).
thf(1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(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(7,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(8,negated_conjecture,
( ( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ! [SY8: $i,SY9: $i] :
( ~ ( a @ SY8 @ SY9 )
| ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) ) )
= $false ),
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(10,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( a @ SY77 @ SY78 )
| ( ! [SY57: reg] :
( ( c @ SY57 @ paris )
=> ( c @ SY57 @ france ) )
& ~ ! [SY58: reg] :
( ( c @ SY58 @ france )
=> ( c @ SY58 @ paris ) )
& ~ ? [SY59: reg] :
( ( c @ SY59 @ paris )
& ~ ? [SY39: reg] :
( ! [SY32: reg] :
( ( c @ SY32 @ SY39 )
=> ( c @ SY32 @ SY59 ) )
& ! [SY41: reg] :
( ( c @ SY41 @ SY39 )
=> ( c @ SY41 @ paris ) ) )
& ( c @ SY59 @ france )
& ~ ? [SY63: reg] :
( ! [SY47: reg] :
( ( c @ SY47 @ SY63 )
=> ( c @ SY47 @ SY59 ) )
& ! [SY65: reg] :
( ( c @ SY65 @ SY63 )
=> ( c @ SY65 @ 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(11,plain,
( ( ! [SY123: $i,SY124: $i] :
( ~ ( fool @ SY123 @ SY124 )
| ( ( c @ spain @ france )
& ~ ? [SY115: reg] :
( ! [SY108: reg] :
( ( c @ SY108 @ SY115 )
=> ( c @ SY108 @ spain ) )
& ! [SY117: reg] :
( ( c @ SY117 @ SY115 )
=> ( c @ SY117 @ 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(12,plain,
( ( ! [SY198: $i,SY199: $i] :
( ~ ( a @ SY198 @ SY199 )
| ( ! [SY178: reg] :
( ( c @ SY178 @ catalunya )
=> ( c @ SY178 @ spain ) )
& ~ ! [SY179: reg] :
( ( c @ SY179 @ spain )
=> ( c @ SY179 @ catalunya ) )
& ? [SY180: reg] :
( ( c @ SY180 @ catalunya )
& ~ ? [SY160: reg] :
( ! [SY153: reg] :
( ( c @ SY153 @ SY160 )
=> ( c @ SY153 @ SY180 ) )
& ! [SY162: reg] :
( ( c @ SY162 @ SY160 )
=> ( c @ SY162 @ catalunya ) ) )
& ( c @ SY180 @ spain )
& ~ ? [SY184: reg] :
( ! [SY168: reg] :
( ( c @ SY168 @ SY184 )
=> ( c @ SY168 @ SY180 ) )
& ! [SY186: reg] :
( ( c @ SY186 @ SY184 )
=> ( c @ SY186 @ 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(13,plain,
( ( ! [SY249: $i,SY250: $i > $o] :
( ~ ! [SY251: $i] :
( ~ ( fool @ SY249 @ SY251 )
| ( SY250 @ SY251 ) )
| ! [SY252: $i] :
( ~ ( a @ SY249 @ SY252 )
| ( SY250 @ SY252 ) ) ) )
= $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(14,plain,
( ( ! [SY257: $i] :
( ~ ( a @ sK1_SY8 @ SY257 )
| ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(15,plain,
( ( ~ ( a @ sK1_SY8 @ sK2_SY257 )
| ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ~ ( ~ ( a @ sK1_SY8 @ sK2_SY257 )
| ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [SY249: $i,SY250: $i > $o] :
( ~ ! [SY251: $i] :
( ~ ( fool @ SY249 @ SY251 )
| ( SY250 @ SY251 ) )
| ! [SY252: $i] :
( ~ ( a @ SY249 @ SY252 )
| ( SY250 @ SY252 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [SY198: $i,SY199: $i] :
( ~ ( a @ SY198 @ SY199 )
| ( ! [SY178: reg] :
( ( c @ SY178 @ catalunya )
=> ( c @ SY178 @ spain ) )
& ~ ! [SY179: reg] :
( ( c @ SY179 @ spain )
=> ( c @ SY179 @ catalunya ) )
& ? [SY180: reg] :
( ( c @ SY180 @ catalunya )
& ~ ? [SY160: reg] :
( ! [SY153: reg] :
( ( c @ SY153 @ SY160 )
=> ( c @ SY153 @ SY180 ) )
& ! [SY162: reg] :
( ( c @ SY162 @ SY160 )
=> ( c @ SY162 @ catalunya ) ) )
& ( c @ SY180 @ spain )
& ~ ? [SY184: reg] :
( ! [SY168: reg] :
( ( c @ SY168 @ SY184 )
=> ( c @ SY168 @ SY180 ) )
& ! [SY186: reg] :
( ( c @ SY186 @ SY184 )
=> ( c @ SY186 @ spain ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( ! [SY123: $i,SY124: $i] :
( ~ ( fool @ SY123 @ SY124 )
| ( ( c @ spain @ france )
& ~ ? [SY115: reg] :
( ! [SY108: reg] :
( ( c @ SY108 @ SY115 )
=> ( c @ SY108 @ spain ) )
& ! [SY117: reg] :
( ( c @ SY117 @ SY115 )
=> ( c @ SY117 @ france ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(20,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( a @ SY77 @ SY78 )
| ( ! [SY57: reg] :
( ( c @ SY57 @ paris )
=> ( c @ SY57 @ france ) )
& ~ ! [SY58: reg] :
( ( c @ SY58 @ france )
=> ( c @ SY58 @ paris ) )
& ~ ? [SY59: reg] :
( ( c @ SY59 @ paris )
& ~ ? [SY39: reg] :
( ! [SY32: reg] :
( ( c @ SY32 @ SY39 )
=> ( c @ SY32 @ SY59 ) )
& ! [SY41: reg] :
( ( c @ SY41 @ SY39 )
=> ( c @ SY41 @ paris ) ) )
& ( c @ SY59 @ france )
& ~ ? [SY63: reg] :
( ! [SY47: reg] :
( ( c @ SY47 @ SY63 )
=> ( c @ SY47 @ SY59 ) )
& ! [SY65: reg] :
( ( c @ SY65 @ SY63 )
=> ( c @ SY65 @ france ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(21,plain,
( ( ~ ( ~ ( a @ sK1_SY8 @ sK2_SY257 )
| ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,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)],[20,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(23,plain,
( ( ~ ( ~ ( a @ sK1_SY8 @ sK2_SY257 )
| ~ ( ~ ~ ( c @ catalunya @ paris )
| ~ ~ ( c @ spain @ paris ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,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(24,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)],[19,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(25,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)],[18,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(26,plain,
! [SV1: $i] :
( ( ! [SY258: $i > $o] :
( ~ ! [SY259: $i] :
( ~ ( fool @ SV1 @ SY259 )
| ( SY258 @ SY259 ) )
| ! [SY260: $i] :
( ~ ( a @ SV1 @ SY260 )
| ( SY258 @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(27,plain,
! [SV2: $i] :
( ( ! [SY261: $i] :
( ~ ( a @ SV2 @ SY261 )
| ~ ( ~ ~ ( ~ ! [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)],[22]) ).
thf(28,plain,
( ( ~ ( a @ sK1_SY8 @ sK2_SY257 )
| ~ ( ~ ~ ( c @ catalunya @ paris )
| ~ ~ ( c @ spain @ paris ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i] :
( ( ! [SY271: $i] :
( ~ ( fool @ SV3 @ SY271 )
| ~ ( ~ ( 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)],[24]) ).
thf(30,plain,
! [SV4: $i] :
( ( ! [SY275: $i] :
( ~ ( a @ SV4 @ SY275 )
| ~ ( ~ ~ ( ~ ! [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)],[25]) ).
thf(31,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ~ ! [SY285: $i] :
( ~ ( fool @ SV1 @ SY285 )
| ( SV5 @ SY285 ) )
| ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( a @ SV2 @ SV6 )
| ~ ( ~ ~ ( ~ ! [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)],[27]) ).
thf(33,plain,
( ( ~ ( a @ sK1_SY8 @ sK2_SY257 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ~ ~ ( c @ catalunya @ paris )
| ~ ~ ( c @ spain @ paris ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( fool @ SV3 @ SV7 )
| ~ ( ~ ( 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)],[29]) ).
thf(36,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( a @ SV4 @ SV8 )
| ~ ( ~ ~ ( ~ ! [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)],[30]) ).
thf(37,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ( ~ ! [SY285: $i] :
( ~ ( fool @ SV1 @ SY285 )
| ( SV5 @ SY285 ) ) )
= $true )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( a @ SV2 @ SV6 ) )
= $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)],[32]) ).
thf(39,plain,
( ( a @ sK1_SY8 @ sK2_SY257 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ~ ( c @ catalunya @ paris )
| ~ ~ ( c @ spain @ paris ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV7 ) )
= $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)],[35]) ).
thf(42,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV8 ) )
= $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)],[36]) ).
thf(43,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ( ! [SY285: $i] :
( ~ ( fool @ SV1 @ SY285 )
| ( SV5 @ SY285 ) ) )
= $false )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV6: $i,SV2: $i] :
( ( ( a @ SV2 @ SV6 )
= $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)],[38]) ).
thf(45,plain,
( ( ( ~ ~ ( c @ catalunya @ paris ) )
= $true )
| ( ( ~ ~ ( c @ spain @ paris ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV7: $i,SV3: $i] :
( ( ( fool @ SV3 @ SV7 )
= $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)],[41]) ).
thf(47,plain,
! [SV8: $i,SV4: $i] :
( ( ( a @ SV4 @ SV8 )
= $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)],[42]) ).
thf(48,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) )
| ( SV5 @ ( sK3_SY285 @ SV5 @ SV1 ) ) )
= $false )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(49,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
( ( ( ~ ( c @ catalunya @ paris ) )
= $false )
| ( ( ~ ~ ( c @ spain @ paris ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV8: $i,SV4: $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 @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) ) )
= $false )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV1: $i,SV5: $i > $o] :
( ( ( SV5 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $false )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( ( c @ catalunya @ paris )
= $true )
| ( ( ~ ~ ( c @ spain @ paris ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( c @ spain @ france ) )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV8: $i,SV4: $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 @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
! [SV5: $i > $o,SV1: $i] :
( ( ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $true )
| ( ( ! [SY286: $i] :
( ~ ( a @ SV1 @ SY286 )
| ( SV5 @ SY286 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(63,plain,
! [SV5: $i > $o,SV9: $i,SV1: $i] :
( ( ( ~ ( a @ SV1 @ SV9 )
| ( SV5 @ SV9 ) )
= $true )
| ( ( SV5 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(66,plain,
( ( ( ~ ( c @ spain @ paris ) )
= $false )
| ( ( c @ catalunya @ paris )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV7: $i,SV3: $i] :
( ( ( c @ spain @ france )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(70,plain,
! [SV8: $i,SV4: $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 @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(71,plain,
! [SV5: $i > $o,SV10: $i,SV1: $i] :
( ( ( ~ ( a @ SV1 @ SV10 )
| ( SV5 @ SV10 ) )
= $true )
| ( ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV5: $i > $o,SV9: $i,SV1: $i] :
( ( ( ~ ( a @ SV1 @ SV9 ) )
= $true )
| ( ( SV5 @ SV9 )
= $true )
| ( ( SV5 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
( ( ( c @ spain @ paris )
= $true )
| ( ( c @ catalunya @ paris )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV8: $i,SV4: $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 @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV5: $i > $o,SV10: $i,SV1: $i] :
( ( ( ~ ( a @ SV1 @ SV10 ) )
= $true )
| ( ( SV5 @ SV10 )
= $true )
| ( ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV5: $i > $o,SV9: $i,SV1: $i] :
( ( ( a @ SV1 @ SV9 )
= $false )
| ( ( SV5 @ SV9 )
= $true )
| ( ( SV5 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV6: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX2 @ paris )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX2 @ france )
| ~ ~ ~ ! [SX3: reg] :
~ ~ ( ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ SX2 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SX3 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(84,plain,
! [SV7: $i,SV3: $i] :
( ( ( ! [SX2: reg] :
~ ~ ( ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ spain ) )
| ~ ! [SX3: reg] :
( ~ ( c @ SX3 @ SX2 )
| ( c @ SX3 @ france ) ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[78]) ).
thf(88,plain,
! [SV5: $i > $o,SV10: $i,SV1: $i] :
( ( ( a @ SV1 @ SV10 )
= $false )
| ( ( SV5 @ SV10 )
= $true )
| ( ( fool @ SV1 @ ( sK3_SY285 @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV6: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(90,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(91,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV7: $i,SV3: $i,SV12: reg] :
( ( ( ~ ~ ( ~ ! [SY320: reg] :
( ~ ( c @ SY320 @ SV12 )
| ( c @ SY320 @ spain ) )
| ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(94,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(95,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(96,plain,
! [SV6: $i,SV2: $i,SV13: reg] :
( ( ( ~ ( c @ SV13 @ paris )
| ( c @ SV13 @ france ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV6: $i,SV2: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ( ~ ~ ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV7: $i,SV3: $i,SV12: reg] :
( ( ( ~ ( ~ ! [SY320: reg] :
( ~ ( c @ SY320 @ SV12 )
| ( c @ SY320 @ spain ) )
| ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) ) )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV8: $i,SV4: $i,SV14: reg] :
( ( ( ~ ( c @ SV14 @ catalunya )
| ( c @ SV14 @ spain ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV6: $i,SV2: $i,SV13: reg] :
( ( ( ~ ( c @ SV13 @ paris ) )
= $true )
| ( ( c @ SV13 @ france )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(104,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( c @ ( sK5_SX2 @ SV6 @ SV2 ) @ france )
| ( c @ ( sK5_SX2 @ SV6 @ SV2 ) @ paris ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(105,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ~ ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(106,plain,
! [SV7: $i,SV3: $i,SV12: reg] :
( ( ( ~ ! [SY320: reg] :
( ~ ( c @ SY320 @ SV12 )
| ( c @ SY320 @ spain ) )
| ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(107,plain,
! [SV8: $i,SV4: $i,SV14: reg] :
( ( ( ~ ( c @ SV14 @ catalunya ) )
= $true )
| ( ( c @ SV14 @ spain )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(108,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV8 @ SV4 ) @ spain )
| ( c @ ( sK6_SX2 @ SV8 @ SV4 ) @ catalunya ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(109,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(110,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(111,plain,
! [SV6: $i,SV2: $i,SV13: reg] :
( ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV13 @ france )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( c @ ( sK5_SX2 @ SV6 @ SV2 ) @ france ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(113,plain,
! [SV2: $i,SV6: $i] :
( ( ( c @ ( sK5_SX2 @ SV6 @ SV2 ) @ paris )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(114,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ~ ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV7: $i,SV3: $i,SV12: reg] :
( ( ( ~ ! [SY320: reg] :
( ~ ( c @ SY320 @ SV12 )
| ( c @ SY320 @ spain ) ) )
= $true )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV8: $i,SV4: $i,SV14: reg] :
( ( ( c @ SV14 @ catalunya )
= $false )
| ( ( c @ SV14 @ spain )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV8 @ SV4 ) @ spain ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV4: $i,SV8: $i] :
( ( ( c @ ( sK6_SX2 @ SV8 @ SV4 ) @ catalunya )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(119,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(120,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(121,plain,
! [SV2: $i,SV6: $i] :
( ( ( c @ ( sK5_SX2 @ SV6 @ SV2 ) @ france )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(122,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV7: $i,SV3: $i,SV12: reg] :
( ( ( ! [SY320: reg] :
( ~ ( c @ SY320 @ SV12 )
| ( c @ SY320 @ spain ) ) )
= $false )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV4: $i,SV8: $i] :
( ( ( c @ ( sK6_SX2 @ SV8 @ SV4 ) @ spain )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(125,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
| ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
| ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ( c @ SV11 @ paris )
| ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(128,plain,
! [SV12: reg,SV3: $i,SV7: $i] :
( ( ( ~ ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
| ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain ) )
= $false )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(129,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(131,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ( c @ SV11 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV12: reg,SV3: $i,SV7: $i] :
( ( ( ~ ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 ) )
= $false )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(135,plain,
! [SV12: reg,SV3: $i,SV7: $i] :
( ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(136,plain,
! [SV4: $i,SV8: $i] :
( ( ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ catalunya )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(137,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(138,plain,
! [SV4: $i,SV8: $i] :
( ( ( c @ ( sK4_SX2 @ SV8 @ SV4 ) @ spain )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(140,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV12: reg,SV3: $i,SV7: $i] :
( ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(142,plain,
! [SV3: $i,SV7: $i,SV12: reg] :
( ( ( ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(144,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(146,plain,
! [SV3: $i,SV7: $i,SV12: reg] :
( ( ( ! [SY321: reg] :
( ~ ( c @ SY321 @ SV12 )
| ( c @ SY321 @ france ) ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(147,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK8_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 )
| ( c @ ( sK8_SY321 @ SV3 @ SV7 @ SV12 ) @ france ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(148,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY308: reg] :
~ ~ ( ~ ! [SY309: reg] :
( ~ ( c @ SY309 @ SY308 )
| ( c @ SY309 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY308 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(149,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY311: reg] :
~ ~ ( ~ ! [SY312: reg] :
( ~ ( c @ SY312 @ SY311 )
| ( c @ SY312 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY311 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(150,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ~ ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(151,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK9_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 )
| ( c @ ( sK9_SY321 @ SV3 @ SV7 @ SV12 ) @ france ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(152,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK8_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(153,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( c @ ( sK8_SY321 @ SV3 @ SV7 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(154,plain,
! [SV4: $i,SV8: $i,SV15: reg] :
( ( ( ~ ~ ( ~ ! [SY322: reg] :
( ~ ( c @ SY322 @ SV15 )
| ( c @ SY322 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV4: $i,SV8: $i,SV16: reg] :
( ( ( ~ ~ ( ~ ! [SY324: reg] :
( ~ ( c @ SY324 @ SV16 )
| ( c @ SY324 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV6: $i,SV2: $i,SV11: reg] :
( ( ( ! [SY314: reg] :
~ ~ ( ~ ! [SY315: reg] :
( ~ ( c @ SY315 @ SY314 )
| ( c @ SY315 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY314 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( ~ ( c @ ( sK9_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 ) )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(158,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( c @ ( sK9_SY321 @ SV3 @ SV7 @ SV12 ) @ france )
= $false )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(159,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( c @ ( sK8_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ spain )
= $false )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(160,plain,
! [SV4: $i,SV8: $i,SV15: reg] :
( ( ( ~ ( ~ ! [SY322: reg] :
( ~ ( c @ SY322 @ SV15 )
| ( c @ SY322 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(161,plain,
! [SV4: $i,SV8: $i,SV16: reg] :
( ( ( ~ ( ~ ! [SY324: reg] :
( ~ ( c @ SY324 @ SV16 )
| ( c @ SY324 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(162,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ! [SY326: reg] :
( ~ ( c @ SY326 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY326 @ SV11 ) )
| ~ ! [SY327: reg] :
( ~ ( c @ SY327 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY327 @ paris ) ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[156]) ).
thf(163,plain,
! [SV12: reg,SV7: $i,SV3: $i] :
( ( ( c @ ( sK9_SY321 @ SV3 @ SV7 @ SV12 ) @ SV12 )
= $true )
| ( ( c @ ( sK7_SY320 @ SV7 @ SV3 @ SV12 ) @ SV12 )
= $true )
| ( ( fool @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(164,plain,
! [SV4: $i,SV8: $i,SV15: reg] :
( ( ( ~ ! [SY322: reg] :
( ~ ( c @ SY322 @ SV15 )
| ( c @ SY322 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(165,plain,
! [SV4: $i,SV8: $i,SV16: reg] :
( ( ( ~ ! [SY324: reg] :
( ~ ( c @ SY324 @ SV16 )
| ( c @ SY324 @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
| ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(166,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ~ ( ~ ! [SY326: reg] :
( ~ ( c @ SY326 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY326 @ SV11 ) )
| ~ ! [SY327: reg] :
( ~ ( c @ SY327 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY327 @ paris ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(167,plain,
! [SV4: $i,SV8: $i,SV15: reg] :
( ( ( ~ ! [SY322: reg] :
( ~ ( c @ SY322 @ SV15 )
| ( c @ SY322 @ ( sK4_SX2 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV4: $i,SV8: $i,SV16: reg] :
( ( ( ~ ! [SY324: reg] :
( ~ ( c @ SY324 @ SV16 )
| ( c @ SY324 @ ( sK4_SX2 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(169,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ~ ! [SY326: reg] :
( ~ ( c @ SY326 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY326 @ SV11 ) )
| ~ ! [SY327: reg] :
( ~ ( c @ SY327 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY327 @ paris ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(170,plain,
! [SV4: $i,SV8: $i,SV15: reg] :
( ( ( ! [SY322: reg] :
( ~ ( c @ SY322 @ SV15 )
| ( c @ SY322 @ ( sK4_SX2 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(171,plain,
! [SV4: $i,SV8: $i,SV16: reg] :
( ( ( ! [SY324: reg] :
( ~ ( c @ SY324 @ SV16 )
| ( c @ SY324 @ ( sK4_SX2 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(172,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ~ ! [SY326: reg] :
( ~ ( c @ SY326 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY326 @ SV11 ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(173,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ~ ! [SY327: reg] :
( ~ ( c @ SY327 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY327 @ paris ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV15: reg,SV8: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
| ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[170]) ).
thf(175,plain,
! [SV16: reg,SV8: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
| ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(176,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ! [SY326: reg] :
( ~ ( c @ SY326 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY326 @ SV11 ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(177,plain,
! [SV11: reg,SV2: $i,SV6: $i] :
( ( ( ! [SY327: reg] :
( ~ ( c @ SY327 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SY327 @ paris ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(178,plain,
! [SV15: reg,SV8: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 ) )
= $false )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(179,plain,
! [SV15: reg,SV8: $i,SV4: $i] :
( ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(180,plain,
! [SV16: reg,SV8: $i,SV4: $i] :
( ( ( ~ ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV16: reg,SV8: $i,SV4: $i] :
( ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(182,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SV17 @ SV11 ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
| ( c @ SV18 @ paris ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV15: reg,SV8: $i,SV4: $i] :
( ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( ~ ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(185,plain,
! [SV8: $i,SV4: $i,SV15: reg] :
( ( ( ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(186,plain,
! [SV16: reg,SV8: $i,SV4: $i] :
( ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(187,plain,
! [SV8: $i,SV4: $i,SV16: reg] :
( ( ( ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(188,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV17: reg] :
( ( ( ~ ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) ) )
= $true )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(189,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(190,plain,
! [SV8: $i,SV4: $i,SV15: reg] :
( ( ( ! [SY323: reg] :
( ~ ( c @ SY323 @ SV15 )
| ( c @ SY323 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(191,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK13_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 )
| ( c @ ( sK13_SY323 @ SV8 @ SV4 @ SV15 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[185]) ).
thf(192,plain,
! [SV8: $i,SV4: $i,SV16: reg] :
( ( ( ! [SY325: reg] :
( ~ ( c @ SY325 @ SV16 )
| ( c @ SY325 @ spain ) ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(193,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK14_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 )
| ( c @ ( sK14_SY325 @ SV8 @ SV4 @ SV16 ) @ spain ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[187]) ).
thf(194,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV17: reg] :
( ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(195,plain,
! [SV11: reg,SV2: $i,SV6: $i,SV18: reg] :
( ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(196,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK15_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 )
| ( c @ ( sK15_SY323 @ SV8 @ SV4 @ SV15 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(197,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK13_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(198,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK13_SY323 @ SV8 @ SV4 @ SV15 ) @ catalunya )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(199,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK16_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 )
| ( c @ ( sK16_SY325 @ SV8 @ SV4 @ SV16 ) @ spain ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(200,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK14_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(201,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK14_SY325 @ SV8 @ SV4 @ SV16 ) @ spain )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(202,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ~ ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK15_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 ) )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(205,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK15_SY323 @ SV8 @ SV4 @ SV15 ) @ catalunya )
= $false )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(206,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK13_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 )
= $true )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(207,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( ~ ( c @ ( sK16_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 ) )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(208,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK16_SY325 @ SV8 @ SV4 @ SV16 ) @ spain )
= $false )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(209,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK14_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 )
= $true )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ ( sK4_SX2 @ SV8 @ SV4 ) )
= $false )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(210,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(211,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ france )
| ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(212,plain,
! [SV15: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK15_SY323 @ SV8 @ SV4 @ SV15 ) @ SV15 )
= $true )
| ( ( c @ ( sK11_SY322 @ SV4 @ SV8 @ SV15 ) @ SV15 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(213,plain,
! [SV16: reg,SV4: $i,SV8: $i] :
( ( ( c @ ( sK16_SY325 @ SV8 @ SV4 @ SV16 ) @ SV16 )
= $true )
| ( ( c @ ( sK12_SY324 @ SV4 @ SV8 @ SV16 ) @ SV16 )
= $true )
| ( ( a @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(214,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(215,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(216,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( c @ SV11 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(217,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( c @ SV11 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(218,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(219,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ~ ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(220,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(221,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ~ ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(222,plain,
! [SV2: $i,SV6: $i,SV17: reg,SV11: reg] :
( ( ( ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(223,plain,
! [SV2: $i,SV6: $i,SV18: reg,SV11: reg] :
( ( ( ! [SY317: reg] :
~ ~ ( ~ ! [SY318: reg] :
( ~ ( c @ SY318 @ SY317 )
| ( c @ SY318 @ SV11 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY317 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(224,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY328: reg] :
( ~ ( c @ SY328 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY328 @ SV11 ) )
| ~ ! [SY329: reg] :
( ~ ( c @ SY329 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY329 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(225,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY330: reg] :
( ~ ( c @ SY330 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY330 @ SV11 ) )
| ~ ! [SY331: reg] :
( ~ ( c @ SY331 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY331 @ france ) ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[223]) ).
thf(226,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY328: reg] :
( ~ ( c @ SY328 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY328 @ SV11 ) )
| ~ ! [SY329: reg] :
( ~ ( c @ SY329 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY329 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(227,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY330: reg] :
( ~ ( c @ SY330 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY330 @ SV11 ) )
| ~ ! [SY331: reg] :
( ~ ( c @ SY331 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY331 @ france ) ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(228,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY328: reg] :
( ~ ( c @ SY328 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY328 @ SV11 ) )
| ~ ! [SY329: reg] :
( ~ ( c @ SY329 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY329 @ france ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(229,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY330: reg] :
( ~ ( c @ SY330 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY330 @ SV11 ) )
| ~ ! [SY331: reg] :
( ~ ( c @ SY331 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY331 @ france ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(230,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY328: reg] :
( ~ ( c @ SY328 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY328 @ SV11 ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(231,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY329: reg] :
( ~ ( c @ SY329 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY329 @ france ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(232,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY330: reg] :
( ~ ( c @ SY330 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY330 @ SV11 ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(233,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ~ ! [SY331: reg] :
( ~ ( c @ SY331 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY331 @ france ) ) )
= $false )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(234,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ! [SY328: reg] :
( ~ ( c @ SY328 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY328 @ SV11 ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(235,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i] :
( ( ( ! [SY329: reg] :
( ~ ( c @ SY329 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SY329 @ france ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(236,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ! [SY330: reg] :
( ~ ( c @ SY330 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY330 @ SV11 ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(237,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i] :
( ( ( ! [SY331: reg] :
( ~ ( c @ SY331 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SY331 @ france ) ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(238,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SV19 @ SV11 ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(239,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
| ( c @ SV20 @ france ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(240,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV21: reg] :
( ( ( ~ ( c @ SV21 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SV21 @ SV11 ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(241,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
| ( c @ SV22 @ france ) )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(242,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) ) )
= $true )
| ( ( c @ SV19 @ SV11 )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(243,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) ) )
= $true )
| ( ( c @ SV20 @ france )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(244,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV21: reg] :
( ( ( ~ ( c @ SV21 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) ) )
= $true )
| ( ( c @ SV21 @ SV11 )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(245,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) ) )
= $true )
| ( ( c @ SV22 @ france )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(246,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV19: reg] :
( ( ( c @ SV19 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
= $false )
| ( ( c @ SV19 @ SV11 )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(247,plain,
! [SV11: reg,SV17: reg,SV6: $i,SV2: $i,SV20: reg] :
( ( ( c @ SV20 @ ( sK17_SY317 @ SV2 @ SV6 @ SV17 @ SV11 ) )
= $false )
| ( ( c @ SV20 @ france )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV17 @ SV11 )
= $true )
| ( ( c @ SV17 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV21: reg] :
( ( ( c @ SV21 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
= $false )
| ( ( c @ SV21 @ SV11 )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(249,plain,
! [SV11: reg,SV18: reg,SV6: $i,SV2: $i,SV22: reg] :
( ( ( c @ SV22 @ ( sK18_SY317 @ SV2 @ SV6 @ SV18 @ SV11 ) )
= $false )
| ( ( c @ SV22 @ france )
= $true )
| ( ( c @ SV11 @ france )
= $false )
| ( ( c @ SV11 @ paris )
= $false )
| ( ( c @ SV18 @ paris )
= $true )
| ( ( c @ SV18 @ ( sK10_SY314 @ SV6 @ SV2 @ SV11 ) )
= $false )
| ( ( a @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(250,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[39,249,248,247,246,213,212,209,208,206,205,201,198,163,159,158,153,138,136,124,121,118,116,113,111,88,80,75,67]) ).
thf(251,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEG003^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n009.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 10:02:02 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.63/13.61
% 80.63/13.61 No.of.Axioms: 4
% 80.63/13.61
% 80.63/13.61 Length.of.Defs: 6571
% 80.63/13.61
% 80.63/13.61 Contains.Choice.Funs: false
% 80.63/13.61 ............
% 80.63/13.61
% 80.63/13.61 ********************************
% 80.63/13.61 * All subproblems solved! *
% 80.63/13.61 ********************************
% 80.63/13.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:250,loop_count:0,foatp_calls:1,translation:fof_full)
% 80.63/13.61
% 80.63/13.61 %**** Beginning of derivation protocol ****
% 80.63/13.61 % SZS output start CNFRefutation
% See solution above
% 80.63/13.62
% 80.63/13.62 %**** End of derivation protocol ****
% 80.63/13.62 %**** no. of clauses in derivation: 249 ****
% 80.63/13.62 %**** clause counter: 250 ****
% 80.63/13.62
% 80.63/13.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:250,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------