%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG013^1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:24 AM UTC 2026
% Result : Theorem 0.25s 0.35s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 46
% Syntax : Number of formulae : 301 ( 89 unt; 0 typ; 40 def)
% Number of atoms : 3046 ( 766 equ; 0 cnn)
% Maximal formula atoms : 9 ( 10 avg)
% Number of connectives : 6882 (1801 ~;1201 |; 51 &;3786 @)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 108 ( 108 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 64 usr; 8 con; 0-4 aty)
% Number of variables : 1390 ( 74 ^;1281 !; 35 ?;1390 :)
% 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_SY400,type,
sK10_SY400: $i > $i > reg > reg ).
thf(tp_sK11_SY402,type,
sK11_SY402: $i > $i > reg > reg ).
thf(tp_sK12_SY401,type,
sK12_SY401: $i > $i > reg > reg ).
thf(tp_sK13_SY403,type,
sK13_SY403: $i > $i > reg > reg ).
thf(tp_sK14_SY401,type,
sK14_SY401: $i > $i > reg > reg ).
thf(tp_sK15_SY403,type,
sK15_SY403: $i > $i > reg > reg ).
thf(tp_sK16_SY397,type,
sK16_SY397: $i > $i > reg > reg > reg ).
thf(tp_sK17_SY397,type,
sK17_SY397: $i > $i > reg > reg > reg ).
thf(tp_sK1_SY21,type,
sK1_SY21: $i ).
thf(tp_sK2_SY319,type,
sK2_SY319: $i ).
thf(tp_sK3_SY357,type,
sK3_SY357: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY358,type,
sK4_SY358: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY361,type,
sK5_SY361: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SX2,type,
sK6_SX2: $i > $i > reg ).
thf(tp_sK7_SX2,type,
sK7_SX2: $i > $i > reg ).
thf(tp_sK8_SX2,type,
sK8_SX2: $i > $i > reg ).
thf(tp_sK9_SY394,type,
sK9_SY394: $i > $i > reg > reg ).
thf(tp_spain,type,
spain: reg ).
thf(tp_tpp,type,
tpp: reg > reg > $o ).
thf(dc,definition,
( dc
= ( ^ [X: reg,Y: reg] :
~ ( c @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dc) ).
thf(ec,definition,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec) ).
thf(eq,definition,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reg_type) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(ntpp,definition,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ntpp) ).
thf(o,definition,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ X )
& ( p @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o) ).
thf(p,definition,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p) ).
thf(po,definition,
( po
= ( ^ [X: reg,Y: reg] :
( ( o @ X @ Y )
& ~ ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',po) ).
thf(pp,definition,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pp) ).
thf(tpp,definition,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tpp) ).
thf(1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(4,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_axiom_for_fool_a) ).
thf(5,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ ( mbox @ fool @ ( mbox @ fool @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_axiom_for_fool) ).
thf(6,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_axiom_for_fool) ).
thf(9,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
? [Z: reg,Y: reg] :
~ ( eq @ Z @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
? [Z: reg,Y: reg] :
~ ( eq @ Z @ Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [SY21: $i,SY22: $i] :
( ~ ( a @ SY21 @ SY22 )
| ? [SY4: reg,SY5: reg] :
~ ( ! [SY13: reg] :
( ( c @ SY13 @ SY4 )
=> ( c @ SY13 @ SY5 ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY5 )
=> ( c @ SY14 @ SY4 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(12,plain,
( ( ! [SY98: $i,SY99: $i] :
( ~ ( a @ SY98 @ SY99 )
| ( ! [SY78: reg] :
( ( c @ SY78 @ paris )
=> ( c @ SY78 @ france ) )
& ~ ! [SY79: reg] :
( ( c @ SY79 @ france )
=> ( c @ SY79 @ paris ) )
& ~ ? [SY80: reg] :
( ( c @ SY80 @ paris )
& ~ ? [SY60: reg] :
( ! [SY53: reg] :
( ( c @ SY53 @ SY60 )
=> ( c @ SY53 @ SY80 ) )
& ! [SY62: reg] :
( ( c @ SY62 @ SY60 )
=> ( c @ SY62 @ paris ) ) )
& ( c @ SY80 @ france )
& ~ ? [SY84: reg] :
( ! [SY68: reg] :
( ( c @ SY68 @ SY84 )
=> ( c @ SY68 @ SY80 ) )
& ! [SY86: reg] :
( ( c @ SY86 @ SY84 )
=> ( c @ SY86 @ france ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(13,plain,
( ( ! [SY185: $i,SY186: $i] :
( ~ ( a @ SY185 @ SY186 )
| ( ! [SY165: reg] :
( ( c @ SY165 @ catalunya )
=> ( c @ SY165 @ spain ) )
& ~ ! [SY166: reg] :
( ( c @ SY166 @ spain )
=> ( c @ SY166 @ catalunya ) )
& ? [SY167: reg] :
( ( c @ SY167 @ catalunya )
& ~ ? [SY147: reg] :
( ! [SY140: reg] :
( ( c @ SY140 @ SY147 )
=> ( c @ SY140 @ SY167 ) )
& ! [SY149: reg] :
( ( c @ SY149 @ SY147 )
=> ( c @ SY149 @ catalunya ) ) )
& ( c @ SY167 @ spain )
& ~ ? [SY171: reg] :
( ! [SY155: reg] :
( ( c @ SY155 @ SY171 )
=> ( c @ SY155 @ SY167 ) )
& ! [SY173: reg] :
( ( c @ SY173 @ SY171 )
=> ( c @ SY173 @ spain ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(14,plain,
( ( ! [SY236: $i,SY237: $i > $o] :
( ~ ! [SY238: $i] :
( ~ ( fool @ SY236 @ SY238 )
| ( SY237 @ SY238 ) )
| ! [SY239: $i] :
( ~ ( a @ SY236 @ SY239 )
| ( SY237 @ SY239 ) ) ) )
= $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(15,plain,
( ( ! [SY282: $i,SY283: $i > $o] :
( ~ ! [SY284: $i] :
( ~ ( fool @ SY282 @ SY284 )
| ( SY283 @ SY284 ) )
| ! [SY285: $i] :
( ~ ( fool @ SY282 @ SY285 )
| ! [SY278: $i] :
( ~ ( fool @ SY285 @ SY278 )
| ( SY283 @ SY278 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(16,plain,
( ( ! [SY313: $i,SY314: $i > $o] :
( ~ ! [SY315: $i] :
( ~ ( fool @ SY313 @ SY315 )
| ( SY314 @ SY315 ) )
| ( SY314 @ SY313 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(17,plain,
( ( ! [SY319: $i] :
( ~ ( a @ sK1_SY21 @ SY319 )
| ? [SY4: reg,SY5: reg] :
~ ( ! [SY13: reg] :
( ( c @ SY13 @ SY4 )
=> ( c @ SY13 @ SY5 ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY5 )
=> ( c @ SY14 @ SY4 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(18,plain,
( ( ~ ( a @ sK1_SY21 @ sK2_SY319 )
| ? [SY4: reg,SY5: reg] :
~ ( ! [SY13: reg] :
( ( c @ SY13 @ SY4 )
=> ( c @ SY13 @ SY5 ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY5 )
=> ( c @ SY14 @ SY4 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[17]) ).
thf(19,plain,
( ( ~ ( ~ ( a @ sK1_SY21 @ sK2_SY319 )
| ? [SY4: reg,SY5: reg] :
~ ( ! [SY13: reg] :
( ( c @ SY13 @ SY4 )
=> ( c @ SY13 @ SY5 ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY5 )
=> ( c @ SY14 @ SY4 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [SY313: $i,SY314: $i > $o] :
( ~ ! [SY315: $i] :
( ~ ( fool @ SY313 @ SY315 )
| ( SY314 @ SY315 ) )
| ( SY314 @ SY313 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [SY282: $i,SY283: $i > $o] :
( ~ ! [SY284: $i] :
( ~ ( fool @ SY282 @ SY284 )
| ( SY283 @ SY284 ) )
| ! [SY285: $i] :
( ~ ( fool @ SY282 @ SY285 )
| ! [SY278: $i] :
( ~ ( fool @ SY285 @ SY278 )
| ( SY283 @ SY278 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(22,plain,
( ( ! [SY236: $i,SY237: $i > $o] :
( ~ ! [SY238: $i] :
( ~ ( fool @ SY236 @ SY238 )
| ( SY237 @ SY238 ) )
| ! [SY239: $i] :
( ~ ( a @ SY236 @ SY239 )
| ( SY237 @ SY239 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(23,plain,
( ( ! [SY185: $i,SY186: $i] :
( ~ ( a @ SY185 @ SY186 )
| ( ! [SY165: reg] :
( ( c @ SY165 @ catalunya )
=> ( c @ SY165 @ spain ) )
& ~ ! [SY166: reg] :
( ( c @ SY166 @ spain )
=> ( c @ SY166 @ catalunya ) )
& ? [SY167: reg] :
( ( c @ SY167 @ catalunya )
& ~ ? [SY147: reg] :
( ! [SY140: reg] :
( ( c @ SY140 @ SY147 )
=> ( c @ SY140 @ SY167 ) )
& ! [SY149: reg] :
( ( c @ SY149 @ SY147 )
=> ( c @ SY149 @ catalunya ) ) )
& ( c @ SY167 @ spain )
& ~ ? [SY171: reg] :
( ! [SY155: reg] :
( ( c @ SY155 @ SY171 )
=> ( c @ SY155 @ SY167 ) )
& ! [SY173: reg] :
( ( c @ SY173 @ SY171 )
=> ( c @ SY173 @ spain ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(24,plain,
( ( ! [SY98: $i,SY99: $i] :
( ~ ( a @ SY98 @ SY99 )
| ( ! [SY78: reg] :
( ( c @ SY78 @ paris )
=> ( c @ SY78 @ france ) )
& ~ ! [SY79: reg] :
( ( c @ SY79 @ france )
=> ( c @ SY79 @ paris ) )
& ~ ? [SY80: reg] :
( ( c @ SY80 @ paris )
& ~ ? [SY60: reg] :
( ! [SY53: reg] :
( ( c @ SY53 @ SY60 )
=> ( c @ SY53 @ SY80 ) )
& ! [SY62: reg] :
( ( c @ SY62 @ SY60 )
=> ( c @ SY62 @ paris ) ) )
& ( c @ SY80 @ france )
& ~ ? [SY84: reg] :
( ! [SY68: reg] :
( ( c @ SY68 @ SY84 )
=> ( c @ SY68 @ SY80 ) )
& ! [SY86: reg] :
( ( c @ SY86 @ SY84 )
=> ( c @ SY86 @ france ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(25,plain,
( ( ~ ( ~ ( a @ sK1_SY21 @ sK2_SY319 )
| ? [SY4: reg,SY5: reg] :
~ ( ! [SY13: reg] :
( ( c @ SY13 @ SY4 )
=> ( c @ SY13 @ SY5 ) )
& ! [SY14: reg] :
( ( c @ SY14 @ SY5 )
=> ( c @ SY14 @ SY4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(26,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)],[24,dc,ec,eq,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,ntpp,o,p,po,pp,tpp]) ).
thf(27,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)],[23,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(28,plain,
( ( ~ ( ~ ( a @ sK1_SY21 @ sK2_SY319 )
| ~ ! [SX0: reg] :
~ ~ ! [SX1: reg] :
~ ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX0 )
| ( c @ SX2 @ SX1 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,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(29,plain,
! [SV1: $i] :
( ( ! [SY328: $i > $o] :
( ~ ! [SY329: $i] :
( ~ ( fool @ SV1 @ SY329 )
| ( SY328 @ SY329 ) )
| ( SY328 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(30,plain,
! [SV2: $i] :
( ( ! [SY330: $i > $o] :
( ~ ! [SY331: $i] :
( ~ ( fool @ SV2 @ SY331 )
| ( SY330 @ SY331 ) )
| ! [SY332: $i] :
( ~ ( fool @ SV2 @ SY332 )
| ! [SY278: $i] :
( ~ ( fool @ SY332 @ SY278 )
| ( SY330 @ SY278 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(31,plain,
! [SV3: $i] :
( ( ! [SY334: $i > $o] :
( ~ ! [SY335: $i] :
( ~ ( fool @ SV3 @ SY335 )
| ( SY334 @ SY335 ) )
| ! [SY336: $i] :
( ~ ( a @ SV3 @ SY336 )
| ( SY334 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(32,plain,
! [SV4: $i] :
( ( ! [SY337: $i] :
( ~ ( a @ SV4 @ SY337 )
| ~ ( ~ ~ ( ~ ! [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)],[26]) ).
thf(33,plain,
! [SV5: $i] :
( ( ! [SY347: $i] :
( ~ ( a @ SV5 @ SY347 )
| ~ ( ~ ~ ( ~ ! [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)],[27]) ).
thf(34,plain,
( ( ~ ( a @ sK1_SY21 @ sK2_SY319 )
| ~ ! [SX0: reg] :
~ ~ ! [SX1: reg] :
~ ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX0 )
| ( c @ SX2 @ SX1 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ~ ! [SY357: $i] :
( ~ ( fool @ SV1 @ SY357 )
| ( SV6 @ SY357 ) )
| ( SV6 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ~ ! [SY358: $i] :
( ~ ( fool @ SV2 @ SY358 )
| ( SV7 @ SY358 ) )
| ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ~ ! [SY361: $i] :
( ~ ( fool @ SV3 @ SY361 )
| ( SV8 @ SY361 ) )
| ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ( a @ SV4 @ SV9 )
| ~ ( ~ ~ ( ~ ! [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)],[32]) ).
thf(39,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( a @ SV5 @ SV10 )
| ~ ( ~ ~ ( ~ ! [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)],[33]) ).
thf(40,plain,
( ( ~ ( a @ sK1_SY21 @ sK2_SY319 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ~ ! [SX0: reg] :
~ ~ ! [SX1: reg] :
~ ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX0 )
| ( c @ SX2 @ SX1 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(42,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ( ~ ! [SY357: $i] :
( ~ ( fool @ SV1 @ SY357 )
| ( SV6 @ SY357 ) ) )
= $true )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ( ~ ! [SY358: $i] :
( ~ ( fool @ SV2 @ SY358 )
| ( SV7 @ SY358 ) ) )
= $true )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ( ~ ! [SY361: $i] :
( ~ ( fool @ SV3 @ SY361 )
| ( SV8 @ SY361 ) ) )
= $true )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ( a @ SV4 @ SV9 ) )
= $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)],[38]) ).
thf(46,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( a @ SV5 @ SV10 ) )
= $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)],[39]) ).
thf(47,plain,
( ( a @ sK1_SY21 @ sK2_SY319 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(48,plain,
( ( ! [SX0: reg] :
~ ~ ! [SX1: reg] :
~ ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX0 )
| ( c @ SX2 @ SX1 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(49,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ( ! [SY357: $i] :
( ~ ( fool @ SV1 @ SY357 )
| ( SV6 @ SY357 ) ) )
= $false )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ( ! [SY358: $i] :
( ~ ( fool @ SV2 @ SY358 )
| ( SV7 @ SY358 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ( ! [SY361: $i] :
( ~ ( fool @ SV3 @ SY361 )
| ( SV8 @ SY361 ) ) )
= $false )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV9: $i,SV4: $i] :
( ( ( a @ SV4 @ SV9 )
= $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)],[45]) ).
thf(53,plain,
! [SV10: $i,SV5: $i] :
( ( ( a @ SV5 @ SV10 )
= $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)],[46]) ).
thf(54,plain,
! [SV11: reg] :
( ( ~ ~ ! [SY381: reg] :
~ ~ ~ ( ~ ! [SY382: reg] :
( ~ ( c @ SY382 @ SV11 )
| ( c @ SY382 @ SY381 ) )
| ~ ! [SY383: reg] :
( ~ ( c @ SY383 @ SY381 )
| ( c @ SY383 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ ( sK3_SY357 @ SV6 @ SV1 ) )
| ( SV6 @ ( sK3_SY357 @ SV6 @ SV1 ) ) )
= $false )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[49]) ).
thf(56,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
| ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(57,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) )
| ( SV8 @ ( sK5_SY361 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(58,plain,
! [SV9: $i,SV4: $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 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV10: $i,SV5: $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 @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV11: reg] :
( ( ~ ! [SY381: reg] :
~ ~ ~ ( ~ ! [SY382: reg] :
( ~ ( c @ SY382 @ SV11 )
| ( c @ SY382 @ SY381 ) )
| ~ ! [SY383: reg] :
( ~ ( c @ SY383 @ SY381 )
| ( c @ SY383 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ ( sK3_SY357 @ SV6 @ SV1 ) ) )
= $false )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i,SV6: $i > $o] :
( ( ( SV6 @ ( sK3_SY357 @ SV6 @ SV1 ) )
= $false )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV2: $i,SV7: $i > $o] :
( ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(66,plain,
! [SV3: $i,SV8: $i > $o] :
( ( ( SV8 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $false )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV9: $i,SV4: $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 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(69,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV10: $i,SV5: $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 @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(71,plain,
! [SV11: reg] :
( ( ! [SY381: reg] :
~ ~ ~ ( ~ ! [SY382: reg] :
( ~ ( c @ SY382 @ SV11 )
| ( c @ SY382 @ SY381 ) )
| ~ ! [SY383: reg] :
( ~ ( c @ SY383 @ SY381 )
| ( c @ SY383 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(72,plain,
! [SV6: $i > $o,SV1: $i] :
( ( ( fool @ SV1 @ ( sK3_SY357 @ SV6 @ SV1 ) )
= $true )
| ( ( SV6 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(73,plain,
! [SV7: $i > $o,SV2: $i] :
( ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true )
| ( ( ! [SY359: $i] :
( ~ ( fool @ SV2 @ SY359 )
| ! [SY360: $i] :
( ~ ( fool @ SY359 @ SY360 )
| ( SV7 @ SY360 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(74,plain,
! [SV7: $i > $o,SV12: $i,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ SV12 )
| ! [SY384: $i] :
( ~ ( fool @ SV12 @ SY384 )
| ( SV7 @ SY384 ) ) )
= $true )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV8: $i > $o,SV3: $i] :
( ( ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $true )
| ( ( ! [SY362: $i] :
( ~ ( a @ SV3 @ SY362 )
| ( SV8 @ SY362 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(76,plain,
! [SV8: $i > $o,SV13: $i,SV3: $i] :
( ( ( ~ ( a @ SV3 @ SV13 )
| ( SV8 @ SV13 ) )
= $true )
| ( ( SV8 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(78,plain,
! [SV9: $i,SV4: $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 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(79,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV10: $i,SV5: $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 @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV14: reg,SV11: reg] :
( ( ~ ~ ~ ( ~ ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) )
| ~ ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV7: $i > $o,SV15: $i,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ SV15 )
| ! [SY387: $i] :
( ~ ( fool @ SV15 @ SY387 )
| ( SV7 @ SY387 ) ) )
= $true )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(83,plain,
! [SV7: $i > $o,SV12: $i,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ SV12 ) )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( fool @ SV12 @ SY384 )
| ( SV7 @ SY384 ) ) )
= $true )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV8: $i > $o,SV16: $i,SV3: $i] :
( ( ( ~ ( a @ SV3 @ SV16 )
| ( SV8 @ SV16 ) )
= $true )
| ( ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV8: $i > $o,SV13: $i,SV3: $i] :
( ( ( ~ ( a @ SV3 @ SV13 ) )
= $true )
| ( ( SV8 @ SV13 )
= $true )
| ( ( SV8 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(87,plain,
! [SV9: $i,SV4: $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 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) )
| ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV10: $i,SV5: $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 @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV14: reg,SV11: reg] :
( ( ~ ~ ( ~ ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) )
| ~ ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV7: $i > $o,SV15: $i,SV2: $i] :
( ( ( ~ ( fool @ SV2 @ SV15 ) )
= $true )
| ( ( ! [SY387: $i] :
( ~ ( fool @ SV15 @ SY387 )
| ( SV7 @ SY387 ) ) )
= $true )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV7: $i > $o,SV12: $i,SV2: $i] :
( ( ( fool @ SV2 @ SV12 )
= $false )
| ( ( ! [SY384: $i] :
( ~ ( fool @ SV12 @ SY384 )
| ( SV7 @ SY384 ) ) )
= $true )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(93,plain,
! [SV8: $i > $o,SV16: $i,SV3: $i] :
( ( ( ~ ( a @ SV3 @ SV16 ) )
= $true )
| ( ( SV8 @ SV16 )
= $true )
| ( ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV8: $i > $o,SV13: $i,SV3: $i] :
( ( ( a @ SV3 @ SV13 )
= $false )
| ( ( SV8 @ SV13 )
= $true )
| ( ( SV8 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(96,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(97,plain,
! [SV9: $i,SV4: $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 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(98,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(99,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(100,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(101,plain,
! [SV14: reg,SV11: reg] :
( ( ~ ( ~ ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) )
| ~ ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV7: $i > $o,SV15: $i,SV2: $i] :
( ( ( fool @ SV2 @ SV15 )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( fool @ SV15 @ SY387 )
| ( SV7 @ SY387 ) ) )
= $true )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV2: $i,SV7: $i > $o,SV17: $i,SV12: $i] :
( ( ( ~ ( fool @ SV12 @ SV17 )
| ( SV7 @ SV17 ) )
= $true )
| ( ( fool @ SV2 @ SV12 )
= $false )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV8: $i > $o,SV16: $i,SV3: $i] :
( ( ( a @ SV3 @ SV16 )
= $false )
| ( ( SV8 @ SV16 )
= $true )
| ( ( fool @ SV3 @ ( sK5_SY361 @ SV8 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV9: $i,SV4: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ paris )
| ( c @ SX2 @ france ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(106,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(107,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ~ ( ~ ~ ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV10: $i,SV5: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ catalunya )
| ( c @ SX2 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(109,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(110,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(111,plain,
! [SV14: reg,SV11: reg] :
( ( ~ ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) )
| ~ ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV2: $i,SV7: $i > $o,SV19: $i,SV15: $i] :
( ( ( ~ ( fool @ SV15 @ SV19 )
| ( SV7 @ SV19 ) )
= $true )
| ( ( fool @ SV2 @ SV15 )
= $false )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV2: $i,SV7: $i > $o,SV17: $i,SV12: $i] :
( ( ( ~ ( fool @ SV12 @ SV17 ) )
= $true )
| ( ( SV7 @ SV17 )
= $true )
| ( ( fool @ SV2 @ SV12 )
= $false )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV9: $i,SV4: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ paris )
| ( c @ SV20 @ france ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV9: $i,SV4: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ france )
| ( c @ SX2 @ paris ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ( ~ ~ ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV10: $i,SV5: $i,SV21: reg] :
( ( ( ~ ( c @ SV21 @ catalunya )
| ( c @ SV21 @ spain ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV10: $i,SV5: $i] :
( ( ( ! [SX2: reg] :
( ~ ( c @ SX2 @ spain )
| ( c @ SX2 @ catalunya ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV14: reg,SV11: reg] :
( ( ~ ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(121,plain,
! [SV11: reg,SV14: reg] :
( ( ~ ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV2: $i,SV7: $i > $o,SV19: $i,SV15: $i] :
( ( ( ~ ( fool @ SV15 @ SV19 ) )
= $true )
| ( ( SV7 @ SV19 )
= $true )
| ( ( fool @ SV2 @ SV15 )
= $false )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV2: $i,SV7: $i > $o,SV17: $i,SV12: $i] :
( ( ( fool @ SV12 @ SV17 )
= $false )
| ( ( SV7 @ SV17 )
= $true )
| ( ( fool @ SV2 @ SV12 )
= $false )
| ( ( SV7 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV9: $i,SV4: $i,SV20: reg] :
( ( ( ~ ( c @ SV20 @ paris ) )
= $true )
| ( ( c @ SV20 @ france )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV4: $i,SV9: $i] :
( ( ( ~ ( c @ ( sK7_SX2 @ SV9 @ SV4 ) @ france )
| ( c @ ( sK7_SX2 @ SV9 @ SV4 ) @ paris ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[115]) ).
thf(126,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ~ ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(127,plain,
! [SV10: $i,SV5: $i,SV21: reg] :
( ( ( ~ ( c @ SV21 @ catalunya ) )
= $true )
| ( ( c @ SV21 @ spain )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK8_SX2 @ SV10 @ SV5 ) @ spain )
| ( c @ ( sK8_SX2 @ SV10 @ SV5 ) @ catalunya ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(129,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(130,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(131,plain,
! [SV14: reg,SV11: reg] :
( ( ! [SY385: reg] :
( ~ ( c @ SY385 @ SV11 )
| ( c @ SY385 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(132,plain,
! [SV11: reg,SV14: reg] :
( ( ! [SY386: reg] :
( ~ ( c @ SY386 @ SV14 )
| ( c @ SY386 @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(133,plain,
! [SV2: $i,SV7: $i > $o,SV19: $i,SV15: $i] :
( ( ( fool @ SV15 @ SV19 )
= $false )
| ( ( SV7 @ SV19 )
= $true )
| ( ( fool @ SV2 @ SV15 )
= $false )
| ( ( fool @ SV2 @ ( sK4_SY358 @ SV7 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV9: $i,SV4: $i,SV20: reg] :
( ( ( c @ SV20 @ paris )
= $false )
| ( ( c @ SV20 @ france )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV4: $i,SV9: $i] :
( ( ( ~ ( c @ ( sK7_SX2 @ SV9 @ SV4 ) @ france ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(136,plain,
! [SV4: $i,SV9: $i] :
( ( ( c @ ( sK7_SX2 @ SV9 @ SV4 ) @ paris )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(137,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ~ ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV10: $i,SV5: $i,SV21: reg] :
( ( ( c @ SV21 @ catalunya )
= $false )
| ( ( c @ SV21 @ spain )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK8_SX2 @ SV10 @ SV5 ) @ spain ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(140,plain,
! [SV5: $i,SV10: $i] :
( ( ( c @ ( sK8_SX2 @ SV10 @ SV5 ) @ catalunya )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(141,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(142,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(143,plain,
! [SV14: reg,SV11: reg,SV22: reg] :
( ( ~ ( c @ SV22 @ SV11 )
| ( c @ SV22 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(144,plain,
! [SV11: reg,SV14: reg,SV23: reg] :
( ( ~ ( c @ SV23 @ SV14 )
| ( c @ SV23 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(145,plain,
! [SV4: $i,SV9: $i] :
( ( ( c @ ( sK7_SX2 @ SV9 @ SV4 ) @ france )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(146,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV5: $i,SV10: $i] :
( ( ( c @ ( sK8_SX2 @ SV10 @ SV5 ) @ spain )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
| ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
| ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV14: reg,SV11: reg,SV22: reg] :
( ( ( ~ ( c @ SV22 @ SV11 ) )
= $true )
| ( ( c @ SV22 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV11: reg,SV14: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ SV14 ) )
= $true )
| ( ( c @ SV23 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ paris )
| ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(153,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(154,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(155,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(156,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(157,plain,
! [SV14: reg,SV11: reg,SV22: reg] :
( ( ( c @ SV22 @ SV11 )
= $false )
| ( ( c @ SV22 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(158,plain,
! [SV11: reg,SV14: reg,SV23: reg] :
( ( ( c @ SV23 @ SV14 )
= $false )
| ( ( c @ SV23 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(159,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ( c @ SV18 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(160,plain,
! [SV5: $i,SV10: $i] :
( ( ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ catalunya )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(161,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(162,plain,
! [SV5: $i,SV10: $i] :
( ( ( c @ ( sK6_SX2 @ SV10 @ SV5 ) @ spain )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(163,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(164,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(165,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(166,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(167,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV5: $i,SV10: $i] :
( ( ( ! [SY388: reg] :
~ ~ ( ~ ! [SY389: reg] :
( ~ ( c @ SY389 @ SY388 )
| ( c @ SY389 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY388 )
| ( c @ SX4 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(169,plain,
! [SV5: $i,SV10: $i] :
( ( ( ! [SY391: reg] :
~ ~ ( ~ ! [SY392: reg] :
( ~ ( c @ SY392 @ SY391 )
| ( c @ SY392 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY391 )
| ( c @ SX4 @ spain ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(170,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ~ ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(171,plain,
! [SV5: $i,SV10: $i,SV24: reg] :
( ( ( ~ ~ ( ~ ! [SY400: reg] :
( ~ ( c @ SY400 @ SV24 )
| ( c @ SY400 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(172,plain,
! [SV5: $i,SV10: $i,SV25: reg] :
( ( ( ~ ~ ( ~ ! [SY402: reg] :
( ~ ( c @ SY402 @ SV25 )
| ( c @ SY402 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(173,plain,
! [SV9: $i,SV4: $i,SV18: reg] :
( ( ( ! [SY394: reg] :
~ ~ ( ~ ! [SY395: reg] :
( ~ ( c @ SY395 @ SY394 )
| ( c @ SY395 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY394 )
| ( c @ SX4 @ paris ) ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(174,plain,
! [SV5: $i,SV10: $i,SV24: reg] :
( ( ( ~ ( ~ ! [SY400: reg] :
( ~ ( c @ SY400 @ SV24 )
| ( c @ SY400 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(175,plain,
! [SV5: $i,SV10: $i,SV25: reg] :
( ( ( ~ ( ~ ! [SY402: reg] :
( ~ ( c @ SY402 @ SV25 )
| ( c @ SY402 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(176,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ! [SY404: reg] :
( ~ ( c @ SY404 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY404 @ SV18 ) )
| ~ ! [SY405: reg] :
( ~ ( c @ SY405 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY405 @ paris ) ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[173]) ).
thf(177,plain,
! [SV5: $i,SV10: $i,SV24: reg] :
( ( ( ~ ! [SY400: reg] :
( ~ ( c @ SY400 @ SV24 )
| ( c @ SY400 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(178,plain,
! [SV5: $i,SV10: $i,SV25: reg] :
( ( ( ~ ! [SY402: reg] :
( ~ ( c @ SY402 @ SV25 )
| ( c @ SY402 @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
| ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(179,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ~ ( ~ ! [SY404: reg] :
( ~ ( c @ SY404 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY404 @ SV18 ) )
| ~ ! [SY405: reg] :
( ~ ( c @ SY405 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY405 @ paris ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(180,plain,
! [SV5: $i,SV10: $i,SV24: reg] :
( ( ( ~ ! [SY400: reg] :
( ~ ( c @ SY400 @ SV24 )
| ( c @ SY400 @ ( sK6_SX2 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(181,plain,
! [SV5: $i,SV10: $i,SV25: reg] :
( ( ( ~ ! [SY402: reg] :
( ~ ( c @ SY402 @ SV25 )
| ( c @ SY402 @ ( sK6_SX2 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(182,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ~ ! [SY404: reg] :
( ~ ( c @ SY404 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY404 @ SV18 ) )
| ~ ! [SY405: reg] :
( ~ ( c @ SY405 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY405 @ paris ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV5: $i,SV10: $i,SV24: reg] :
( ( ( ! [SY400: reg] :
( ~ ( c @ SY400 @ SV24 )
| ( c @ SY400 @ ( sK6_SX2 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(184,plain,
! [SV5: $i,SV10: $i,SV25: reg] :
( ( ( ! [SY402: reg] :
( ~ ( c @ SY402 @ SV25 )
| ( c @ SY402 @ ( sK6_SX2 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(185,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ~ ! [SY404: reg] :
( ~ ( c @ SY404 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY404 @ SV18 ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(186,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ~ ! [SY405: reg] :
( ~ ( c @ SY405 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY405 @ paris ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(187,plain,
! [SV24: reg,SV10: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
| ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(188,plain,
! [SV25: reg,SV10: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
| ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(189,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ! [SY404: reg] :
( ~ ( c @ SY404 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY404 @ SV18 ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(190,plain,
! [SV18: reg,SV4: $i,SV9: $i] :
( ( ( ! [SY405: reg] :
( ~ ( c @ SY405 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SY405 @ paris ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(191,plain,
! [SV24: reg,SV10: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(192,plain,
! [SV24: reg,SV10: $i,SV5: $i] :
( ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(193,plain,
! [SV25: reg,SV10: $i,SV5: $i] :
( ( ( ~ ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 ) )
= $false )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(194,plain,
! [SV25: reg,SV10: $i,SV5: $i] :
( ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(195,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SV26 @ SV18 ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(196,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
| ( c @ SV27 @ paris ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(197,plain,
! [SV24: reg,SV10: $i,SV5: $i] :
( ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( ~ ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(198,plain,
! [SV10: $i,SV5: $i,SV24: reg] :
( ( ( ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV25: reg,SV10: $i,SV5: $i] :
( ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( ~ ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(200,plain,
! [SV10: $i,SV5: $i,SV25: reg] :
( ( ( ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(201,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV26: reg] :
( ( ( ~ ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) ) )
= $true )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(202,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV27: reg] :
( ( ( ~ ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) ) )
= $true )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV10: $i,SV5: $i,SV24: reg] :
( ( ( ! [SY401: reg] :
( ~ ( c @ SY401 @ SV24 )
| ( c @ SY401 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(204,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK12_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 )
| ( c @ ( sK12_SY401 @ SV10 @ SV5 @ SV24 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[198]) ).
thf(205,plain,
! [SV10: $i,SV5: $i,SV25: reg] :
( ( ( ! [SY403: reg] :
( ~ ( c @ SY403 @ SV25 )
| ( c @ SY403 @ spain ) ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(206,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK13_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 )
| ( c @ ( sK13_SY403 @ SV10 @ SV5 @ SV25 ) @ spain ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(207,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV26: reg] :
( ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(208,plain,
! [SV18: reg,SV4: $i,SV9: $i,SV27: reg] :
( ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $true )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(209,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK14_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 )
| ( c @ ( sK14_SY401 @ SV10 @ SV5 @ SV24 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(210,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK12_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(211,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK12_SY401 @ SV10 @ SV5 @ SV24 ) @ catalunya )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(212,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK15_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 )
| ( c @ ( sK15_SY403 @ SV10 @ SV5 @ SV25 ) @ spain ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(213,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK13_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(214,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK13_SY403 @ SV10 @ SV5 @ SV25 ) @ spain )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(215,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ~ ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) ) )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK14_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 ) )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(218,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK14_SY401 @ SV10 @ SV5 @ SV24 ) @ catalunya )
= $false )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(219,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK12_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 )
= $true )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(220,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( ~ ( c @ ( sK15_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 ) )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(221,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK15_SY403 @ SV10 @ SV5 @ SV25 ) @ spain )
= $false )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(222,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK13_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 )
= $true )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ ( sK6_SX2 @ SV10 @ SV5 ) )
= $false )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(223,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(224,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ france )
| ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(225,plain,
! [SV24: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK14_SY401 @ SV10 @ SV5 @ SV24 ) @ SV24 )
= $true )
| ( ( c @ ( sK10_SY400 @ SV5 @ SV10 @ SV24 ) @ SV24 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV25: reg,SV5: $i,SV10: $i] :
( ( ( c @ ( sK15_SY403 @ SV10 @ SV5 @ SV25 ) @ SV25 )
= $true )
| ( ( c @ ( sK11_SY402 @ SV5 @ SV10 @ SV25 ) @ SV25 )
= $true )
| ( ( a @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(227,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(228,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ~ ( c @ SV18 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(229,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( c @ SV18 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(230,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( c @ SV18 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(231,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(232,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ~ ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(233,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(234,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ~ ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(235,plain,
! [SV4: $i,SV9: $i,SV26: reg,SV18: reg] :
( ( ( ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(236,plain,
! [SV4: $i,SV9: $i,SV27: reg,SV18: reg] :
( ( ( ! [SY397: reg] :
~ ~ ( ~ ! [SY398: reg] :
( ~ ( c @ SY398 @ SY397 )
| ( c @ SY398 @ SV18 ) )
| ~ ! [SX4: reg] :
( ~ ( c @ SX4 @ SY397 )
| ( c @ SX4 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(237,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY406: reg] :
( ~ ( c @ SY406 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY406 @ SV18 ) )
| ~ ! [SY407: reg] :
( ~ ( c @ SY407 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY407 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(238,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY408: reg] :
( ~ ( c @ SY408 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY408 @ SV18 ) )
| ~ ! [SY409: reg] :
( ~ ( c @ SY409 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY409 @ france ) ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(239,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SY406: reg] :
( ~ ( c @ SY406 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY406 @ SV18 ) )
| ~ ! [SY407: reg] :
( ~ ( c @ SY407 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY407 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(240,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SY408: reg] :
( ~ ( c @ SY408 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY408 @ SV18 ) )
| ~ ! [SY409: reg] :
( ~ ( c @ SY409 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY409 @ france ) ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(241,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY406: reg] :
( ~ ( c @ SY406 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY406 @ SV18 ) )
| ~ ! [SY407: reg] :
( ~ ( c @ SY407 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY407 @ france ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(242,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY408: reg] :
( ~ ( c @ SY408 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY408 @ SV18 ) )
| ~ ! [SY409: reg] :
( ~ ( c @ SY409 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY409 @ france ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(243,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY406: reg] :
( ~ ( c @ SY406 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY406 @ SV18 ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(244,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY407: reg] :
( ~ ( c @ SY407 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY407 @ france ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(245,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY408: reg] :
( ~ ( c @ SY408 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY408 @ SV18 ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(246,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ~ ! [SY409: reg] :
( ~ ( c @ SY409 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY409 @ france ) ) )
= $false )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(247,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ! [SY406: reg] :
( ~ ( c @ SY406 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY406 @ SV18 ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(248,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i] :
( ( ( ! [SY407: reg] :
( ~ ( c @ SY407 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SY407 @ france ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(249,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ! [SY408: reg] :
( ~ ( c @ SY408 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY408 @ SV18 ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(250,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i] :
( ( ( ! [SY409: reg] :
( ~ ( c @ SY409 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SY409 @ france ) ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(251,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SV28 @ SV18 ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(252,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV29: reg] :
( ( ( ~ ( c @ SV29 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
| ( c @ SV29 @ france ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(253,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV30: reg] :
( ( ( ~ ( c @ SV30 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SV30 @ SV18 ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(254,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV31: reg] :
( ( ( ~ ( c @ SV31 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
| ( c @ SV31 @ france ) )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(255,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV28: reg] :
( ( ( ~ ( c @ SV28 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) ) )
= $true )
| ( ( c @ SV28 @ SV18 )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(256,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV29: reg] :
( ( ( ~ ( c @ SV29 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) ) )
= $true )
| ( ( c @ SV29 @ france )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(257,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV30: reg] :
( ( ( ~ ( c @ SV30 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) ) )
= $true )
| ( ( c @ SV30 @ SV18 )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(258,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV31: reg] :
( ( ( ~ ( c @ SV31 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) ) )
= $true )
| ( ( c @ SV31 @ france )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(259,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV28: reg] :
( ( ( c @ SV28 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
= $false )
| ( ( c @ SV28 @ SV18 )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(260,plain,
! [SV18: reg,SV26: reg,SV9: $i,SV4: $i,SV29: reg] :
( ( ( c @ SV29 @ ( sK16_SY397 @ SV4 @ SV9 @ SV26 @ SV18 ) )
= $false )
| ( ( c @ SV29 @ france )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV26 @ SV18 )
= $true )
| ( ( c @ SV26 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(261,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV30: reg] :
( ( ( c @ SV30 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
= $false )
| ( ( c @ SV30 @ SV18 )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(262,plain,
! [SV18: reg,SV27: reg,SV9: $i,SV4: $i,SV31: reg] :
( ( ( c @ SV31 @ ( sK17_SY397 @ SV4 @ SV9 @ SV27 @ SV18 ) )
= $false )
| ( ( c @ SV31 @ france )
= $true )
| ( ( c @ SV18 @ france )
= $false )
| ( ( c @ SV18 @ paris )
= $false )
| ( ( c @ SV27 @ paris )
= $true )
| ( ( c @ SV27 @ ( sK9_SY394 @ SV9 @ SV4 @ SV18 ) )
= $false )
| ( ( a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(263,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,262,261,260,259,226,225,222,221,219,218,214,211,162,160,158,157,147,145,140,138,136,134,133,123,104,94,72,62]) ).
thf(264,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG013^1 : 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
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 10:02:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.35
% 0.25/0.35 No.of.Axioms: 5
% 0.25/0.35
% 0.25/0.35 Length.of.Defs: 6571
% 0.25/0.35
% 0.25/0.35 Contains.Choice.Funs: false
% 0.25/0.35 .............
% 0.25/0.35
% 0.25/0.35 ********************************
% 0.25/0.35 * All subproblems solved! *
% 0.25/0.35 ********************************
% 0.25/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:263,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.25/0.35
% 0.25/0.35 %**** Beginning of derivation protocol ****
% 0.25/0.35 % SZS output start CNFRefutation
% See solution above
% 0.25/0.35
% 0.25/0.35 %**** End of derivation protocol ****
% 0.25/0.35 %**** no. of clauses in derivation: 261 ****
% 0.25/0.35 %**** clause counter: 263 ****
% 0.25/0.35
% 0.25/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:263,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------