%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEG002^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:22 AM UTC 2026
% Result : Theorem 1.21s 0.45s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 13
% Syntax : Number of formulae : 415 ( 188 unt; 0 typ; 9 def)
% Number of atoms : 3967 ( 928 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 9062 (2760 ~;1592 |; 61 &;4606 @)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 12 con; 0-2 aty)
% Number of variables : 1275 ( 18 ^;1233 !; 24 ?;1275 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_reg,type,
reg: $tType ).
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_france,type,
france: reg ).
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_SY153,type,
sK10_SY153: reg > reg ).
thf(tp_sK11_SY155,type,
sK11_SY155: reg > reg ).
thf(tp_sK12_SY153,type,
sK12_SY153: reg > reg ).
thf(tp_sK13_SY155,type,
sK13_SY155: reg > reg ).
thf(tp_sK14_SY149,type,
sK14_SY149: reg > reg > reg ).
thf(tp_sK15_SY149,type,
sK15_SY149: reg > reg > reg ).
thf(tp_sK16_SX0,type,
sK16_SX0: reg ).
thf(tp_sK17_SX0,type,
sK17_SX0: reg ).
thf(tp_sK18_SX0,type,
sK18_SX0: reg ).
thf(tp_sK19_SY174,type,
sK19_SY174: reg > reg ).
thf(tp_sK1_SX0,type,
sK1_SX0: reg ).
thf(tp_sK20_SY175,type,
sK20_SY175: reg > reg ).
thf(tp_sK21_SY175,type,
sK21_SY175: reg > reg ).
thf(tp_sK22_SY168,type,
sK22_SY168: reg > reg ).
thf(tp_sK23_SY176,type,
sK23_SY176: reg > reg ).
thf(tp_sK24_SY178,type,
sK24_SY178: reg > reg ).
thf(tp_sK25_SY177,type,
sK25_SY177: reg > reg ).
thf(tp_sK26_SY179,type,
sK26_SY179: reg > reg ).
thf(tp_sK27_SY177,type,
sK27_SY177: reg > reg ).
thf(tp_sK28_SY179,type,
sK28_SY179: reg > reg ).
thf(tp_sK29_SY171,type,
sK29_SY171: reg > reg > reg ).
thf(tp_sK2_SX0,type,
sK2_SX0: reg ).
thf(tp_sK30_SY171,type,
sK30_SY171: reg > reg > reg ).
thf(tp_sK3_SX0,type,
sK3_SX0: reg ).
thf(tp_sK4_SY144,type,
sK4_SY144: reg > reg ).
thf(tp_sK5_SY145,type,
sK5_SY145: reg > reg ).
thf(tp_sK6_SY145,type,
sK6_SY145: reg > reg ).
thf(tp_sK7_SY146,type,
sK7_SY146: reg > reg ).
thf(tp_sK8_SY152,type,
sK8_SY152: reg > reg ).
thf(tp_sK9_SY154,type,
sK9_SY154: 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/sandbox2/benchmark/theBenchmark.p',dc) ).
thf(ec,definition,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec) ).
thf(eq,definition,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
thf(ntpp,definition,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp) ).
thf(o,definition,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ X )
& ( p @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o) ).
thf(p,definition,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p) ).
thf(po,definition,
( po
= ( ^ [X: reg,Y: reg] :
( ( o @ X @ Y )
& ~ ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',po) ).
thf(pp,definition,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp) ).
thf(tpp,definition,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ X )
& ( ec @ Z @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp) ).
thf(1,axiom,
ntpp @ paris @ france,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(2,axiom,
ec @ spain @ france,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
tpp @ catalunya @ spain,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(6,conjecture,
( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(7,negated_conjecture,
( ( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) )
= $false ),
inference(unfold_def,[status(thm)],[7,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(9,plain,
( ( ! [SY43: reg] :
( ( c @ SY43 @ paris )
=> ( c @ SY43 @ france ) )
& ~ ! [SY44: reg] :
( ( c @ SY44 @ france )
=> ( c @ SY44 @ paris ) )
& ~ ? [SY45: reg] :
( ( c @ SY45 @ paris )
& ~ ? [SY25: reg] :
( ! [SY18: reg] :
( ( c @ SY18 @ SY25 )
=> ( c @ SY18 @ SY45 ) )
& ! [SY27: reg] :
( ( c @ SY27 @ SY25 )
=> ( c @ SY27 @ paris ) ) )
& ( c @ SY45 @ france )
& ~ ? [SY49: reg] :
( ! [SY33: reg] :
( ( c @ SY33 @ SY49 )
=> ( c @ SY33 @ SY45 ) )
& ! [SY51: reg] :
( ( c @ SY51 @ SY49 )
=> ( c @ SY51 @ france ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(10,plain,
( ( ( c @ spain @ france )
& ~ ? [SY73: reg] :
( ! [SY66: reg] :
( ( c @ SY66 @ SY73 )
=> ( c @ SY66 @ spain ) )
& ! [SY75: reg] :
( ( c @ SY75 @ SY73 )
=> ( c @ SY75 @ france ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(11,plain,
( ( ! [SY120: reg] :
( ( c @ SY120 @ catalunya )
=> ( c @ SY120 @ spain ) )
& ~ ! [SY121: reg] :
( ( c @ SY121 @ spain )
=> ( c @ SY121 @ catalunya ) )
& ? [SY122: reg] :
( ( c @ SY122 @ catalunya )
& ~ ? [SY102: reg] :
( ! [SY95: reg] :
( ( c @ SY95 @ SY102 )
=> ( c @ SY95 @ SY122 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ catalunya ) ) )
& ( c @ SY122 @ spain )
& ~ ? [SY126: reg] :
( ! [SY110: reg] :
( ( c @ SY110 @ SY126 )
=> ( c @ SY110 @ SY122 ) )
& ! [SY128: reg] :
( ( c @ SY128 @ SY126 )
=> ( c @ SY128 @ spain ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(12,plain,
( ( ~ ( c @ catalunya @ paris ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(13,plain,
( ( ~ ( c @ spain @ paris ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(14,plain,
( ( c @ catalunya @ paris )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(15,plain,
( ( c @ spain @ paris )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SY120: reg] :
( ( c @ SY120 @ catalunya )
=> ( c @ SY120 @ spain ) )
& ~ ! [SY121: reg] :
( ( c @ SY121 @ spain )
=> ( c @ SY121 @ catalunya ) )
& ? [SY122: reg] :
( ( c @ SY122 @ catalunya )
& ~ ? [SY102: reg] :
( ! [SY95: reg] :
( ( c @ SY95 @ SY102 )
=> ( c @ SY95 @ SY122 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ catalunya ) ) )
& ( c @ SY122 @ spain )
& ~ ? [SY126: reg] :
( ! [SY110: reg] :
( ( c @ SY110 @ SY126 )
=> ( c @ SY110 @ SY122 ) )
& ! [SY128: reg] :
( ( c @ SY128 @ SY126 )
=> ( c @ SY128 @ spain ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ( c @ spain @ france )
& ~ ? [SY73: reg] :
( ! [SY66: reg] :
( ( c @ SY66 @ SY73 )
=> ( c @ SY66 @ spain ) )
& ! [SY75: reg] :
( ( c @ SY75 @ SY73 )
=> ( c @ SY75 @ france ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(18,plain,
( ( ! [SY43: reg] :
( ( c @ SY43 @ paris )
=> ( c @ SY43 @ france ) )
& ~ ! [SY44: reg] :
( ( c @ SY44 @ france )
=> ( c @ SY44 @ paris ) )
& ~ ? [SY45: reg] :
( ( c @ SY45 @ paris )
& ~ ? [SY25: reg] :
( ! [SY18: reg] :
( ( c @ SY18 @ SY25 )
=> ( c @ SY18 @ SY45 ) )
& ! [SY27: reg] :
( ( c @ SY27 @ SY25 )
=> ( c @ SY27 @ paris ) ) )
& ( c @ SY45 @ france )
& ~ ? [SY49: reg] :
( ! [SY33: reg] :
( ( c @ SY33 @ SY49 )
=> ( c @ SY33 @ SY45 ) )
& ! [SY51: reg] :
( ( c @ SY51 @ SY49 )
=> ( c @ SY51 @ france ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(19,plain,
( ( c @ catalunya @ paris )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(20,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(21,plain,
( ( ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(23,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( c @ spain @ france ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
( ( c @ spain @ france )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ~ ( ~ ~ ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(46,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(50,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(51,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV1: reg] :
( ( ~ ~ ( ~ ! [SY144: reg] :
( ~ ( c @ SY144 @ SV1 )
| ( c @ SY144 @ spain ) )
| ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: reg] :
( ( ~ ~ ( ~ ~ ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV3: reg] :
( ( ~ ( c @ SV3 @ catalunya )
| ( c @ SV3 @ spain ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(58,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ~ ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV1: reg] :
( ( ~ ( ~ ! [SY144: reg] :
( ~ ( c @ SY144 @ SV1 )
| ( c @ SY144 @ spain ) )
| ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV4: reg] :
( ( ~ ( c @ SV4 @ paris )
| ( c @ SV4 @ france ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV2: reg] :
( ( ~ ( ~ ~ ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV3: reg] :
( ( ( ~ ( c @ SV3 @ catalunya ) )
= $true )
| ( ( c @ SV3 @ spain )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ ( c @ sK2_SX0 @ spain )
| ( c @ sK2_SX0 @ catalunya ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(66,plain,
( ( ~ ~ ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( ~ ~ ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV1: reg] :
( ( ~ ! [SY144: reg] :
( ~ ( c @ SY144 @ SV1 )
| ( c @ SY144 @ spain ) )
| ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV4: reg] :
( ( ( ~ ( c @ SV4 @ paris ) )
= $true )
| ( ( c @ SV4 @ france )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( ~ ( c @ sK3_SX0 @ france )
| ( c @ sK3_SX0 @ paris ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(71,plain,
! [SV2: reg] :
( ( ~ ~ ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
! [SV3: reg] :
( ( ( c @ SV3 @ catalunya )
= $false )
| ( ( c @ SV3 @ spain )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(73,plain,
( ( ~ ( c @ sK2_SX0 @ spain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(74,plain,
( ( c @ sK2_SX0 @ catalunya )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(77,plain,
! [SV1: reg] :
( ( ( ~ ! [SY144: reg] :
( ~ ( c @ SY144 @ SV1 )
| ( c @ SY144 @ spain ) ) )
= $true )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV4: reg] :
( ( ( c @ SV4 @ paris )
= $false )
| ( ( c @ SV4 @ france )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(79,plain,
( ( ~ ( c @ sK3_SX0 @ france ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(80,plain,
( ( c @ sK3_SX0 @ paris )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV2: reg] :
( ( ( ~ ~ ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
( ( c @ sK2_SX0 @ spain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(83,plain,
( ( ~ ( c @ sK1_SX0 @ catalunya )
| ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
( ( ~ ( c @ sK1_SX0 @ spain )
| ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV1: reg] :
( ( ( ! [SY144: reg] :
( ~ ( c @ SY144 @ SV1 )
| ( c @ SY144 @ spain ) ) )
= $false )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(86,plain,
( ( c @ sK3_SX0 @ france )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(87,plain,
! [SV2: reg] :
( ( ( ~ ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
( ( ~ ( c @ sK1_SX0 @ catalunya ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(89,plain,
( ( ~ ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ( c @ sK1_SX0 @ spain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(91,plain,
( ( ~ ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(92,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
| ( c @ ( sK4_SY144 @ SV1 ) @ spain ) )
= $false )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(93,plain,
! [SV2: reg] :
( ( ( ~ ( c @ SV2 @ paris )
| ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(94,plain,
( ( c @ sK1_SX0 @ catalunya )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(95,plain,
( ( ~ ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(96,plain,
( ( c @ sK1_SX0 @ spain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(97,plain,
( ( ~ ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK4_SY144 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV1: reg] :
( ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV2: reg] :
( ( ( ~ ( c @ SV2 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(101,plain,
( ( ~ ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(102,plain,
( ( ~ ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV1: reg] :
( ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV1: reg] :
( ( ( ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV2: reg] :
( ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(106,plain,
( ( ! [SY138: reg] :
~ ~ ( ~ ! [SY139: reg] :
( ~ ( c @ SY139 @ SY138 )
| ( c @ SY139 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY138 )
| ( c @ SX2 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(107,plain,
( ( ! [SY141: reg] :
~ ~ ( ~ ! [SY142: reg] :
( ~ ( c @ SY142 @ SY141 )
| ( c @ SY142 @ sK1_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY141 )
| ( c @ SX2 @ spain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(108,plain,
! [SV1: reg] :
( ( ( ! [SY145: reg] :
( ~ ( c @ SY145 @ SV1 )
| ( c @ SY145 @ france ) ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK5_SY145 @ SV1 ) @ SV1 )
| ( c @ ( sK5_SY145 @ SV1 ) @ france ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[104]) ).
thf(110,plain,
! [SV2: reg] :
( ( ( ~ ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(111,plain,
! [SV5: reg] :
( ( ~ ~ ( ~ ! [SY152: reg] :
( ~ ( c @ SY152 @ SV5 )
| ( c @ SY152 @ sK1_SX0 ) )
| ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(112,plain,
! [SV6: reg] :
( ( ~ ~ ( ~ ! [SY154: reg] :
( ~ ( c @ SY154 @ SV6 )
| ( c @ SY154 @ sK1_SX0 ) )
| ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK6_SY145 @ SV1 ) @ SV1 )
| ( c @ ( sK6_SY145 @ SV1 ) @ france ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(114,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK5_SY145 @ SV1 ) @ SV1 ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(115,plain,
! [SV1: reg] :
( ( ( c @ ( sK5_SY145 @ SV1 ) @ france )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(116,plain,
! [SV2: reg] :
( ( ( ~ ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(117,plain,
! [SV5: reg] :
( ( ~ ( ~ ! [SY152: reg] :
( ~ ( c @ SY152 @ SV5 )
| ( c @ SY152 @ sK1_SX0 ) )
| ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV6: reg] :
( ( ~ ( ~ ! [SY154: reg] :
( ~ ( c @ SY154 @ SV6 )
| ( c @ SY154 @ sK1_SX0 ) )
| ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV1: reg] :
( ( ( ~ ( c @ ( sK6_SY145 @ SV1 ) @ SV1 ) )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV1: reg] :
( ( ( c @ ( sK6_SY145 @ SV1 ) @ france )
= $false )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV1: reg] :
( ( ( c @ ( sK5_SY145 @ SV1 ) @ SV1 )
= $true )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV2: reg] :
( ( ( ! [SY146: reg] :
~ ~ ( ~ ! [SY147: reg] :
( ~ ( c @ SY147 @ SY146 )
| ( c @ SY147 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY146 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV5: reg] :
( ( ~ ! [SY152: reg] :
( ~ ( c @ SY152 @ SV5 )
| ( c @ SY152 @ sK1_SX0 ) )
| ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV6: reg] :
( ( ~ ! [SY154: reg] :
( ~ ( c @ SY154 @ SV6 )
| ( c @ SY154 @ sK1_SX0 ) )
| ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(125,plain,
! [SV1: reg] :
( ( ( c @ ( sK6_SY145 @ SV1 ) @ SV1 )
= $true )
| ( ( c @ ( sK4_SY144 @ SV1 ) @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV2: reg] :
( ( ( ~ ~ ( ~ ! [SY156: reg] :
( ~ ( c @ SY156 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY156 @ SV2 ) )
| ~ ! [SY157: reg] :
( ~ ( c @ SY157 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY157 @ paris ) ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(127,plain,
! [SV5: reg] :
( ( ( ~ ! [SY152: reg] :
( ~ ( c @ SY152 @ SV5 )
| ( c @ SY152 @ sK1_SX0 ) ) )
= $true )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV6: reg] :
( ( ( ~ ! [SY154: reg] :
( ~ ( c @ SY154 @ SV6 )
| ( c @ SY154 @ sK1_SX0 ) ) )
= $true )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV2: reg] :
( ( ( ~ ( ~ ! [SY156: reg] :
( ~ ( c @ SY156 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY156 @ SV2 ) )
| ~ ! [SY157: reg] :
( ~ ( c @ SY157 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY157 @ paris ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(130,plain,
! [SV5: reg] :
( ( ( ! [SY152: reg] :
( ~ ( c @ SY152 @ SV5 )
| ( c @ SY152 @ sK1_SX0 ) ) )
= $false )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV6: reg] :
( ( ( ! [SY154: reg] :
( ~ ( c @ SY154 @ SV6 )
| ( c @ SY154 @ sK1_SX0 ) ) )
= $false )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV2: reg] :
( ( ( ~ ! [SY156: reg] :
( ~ ( c @ SY156 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY156 @ SV2 ) )
| ~ ! [SY157: reg] :
( ~ ( c @ SY157 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY157 @ paris ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
| ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 ) )
= $false )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(134,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
| ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 ) )
= $false )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(135,plain,
! [SV2: reg] :
( ( ( ~ ! [SY156: reg] :
( ~ ( c @ SY156 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY156 @ SV2 ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(136,plain,
! [SV2: reg] :
( ( ( ~ ! [SY157: reg] :
( ~ ( c @ SY157 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY157 @ paris ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(137,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK8_SY152 @ SV5 ) @ SV5 ) )
= $false )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(138,plain,
! [SV5: reg] :
( ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(139,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK9_SY154 @ SV6 ) @ SV6 ) )
= $false )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(140,plain,
! [SV6: reg] :
( ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(141,plain,
! [SV2: reg] :
( ( ( ! [SY156: reg] :
( ~ ( c @ SY156 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY156 @ SV2 ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(142,plain,
! [SV2: reg] :
( ( ( ! [SY157: reg] :
( ~ ( c @ SY157 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SY157 @ paris ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(143,plain,
! [SV5: reg] :
( ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(144,plain,
! [SV5: reg] :
( ( ( ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV6: reg] :
( ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true )
| ( ( ~ ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(146,plain,
! [SV6: reg] :
( ( ( ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SV7 @ SV2 ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
| ( c @ SV8 @ paris ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV5: reg] :
( ( ( ! [SY153: reg] :
( ~ ( c @ SY153 @ SV5 )
| ( c @ SY153 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(150,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK10_SY153 @ SV5 ) @ SV5 )
| ( c @ ( sK10_SY153 @ SV5 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(151,plain,
! [SV6: reg] :
( ( ( ! [SY155: reg] :
( ~ ( c @ SY155 @ SV6 )
| ( c @ SY155 @ spain ) ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK11_SY155 @ SV6 ) @ SV6 )
| ( c @ ( sK11_SY155 @ SV6 ) @ spain ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(153,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ( c @ SV7 @ ( sK7_SY146 @ SV2 ) ) )
= $true )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ( c @ SV8 @ ( sK7_SY146 @ SV2 ) ) )
= $true )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK12_SY153 @ SV5 ) @ SV5 )
| ( c @ ( sK12_SY153 @ SV5 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[149]) ).
thf(156,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK10_SY153 @ SV5 ) @ SV5 ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(157,plain,
! [SV5: reg] :
( ( ( c @ ( sK10_SY153 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(158,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK13_SY155 @ SV6 ) @ SV6 )
| ( c @ ( sK13_SY155 @ SV6 ) @ spain ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(159,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK11_SY155 @ SV6 ) @ SV6 ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(160,plain,
! [SV6: reg] :
( ( ( c @ ( sK11_SY155 @ SV6 ) @ spain )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(161,plain,
! [SV2: reg,SV7: reg] :
( ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(162,plain,
! [SV2: reg,SV8: reg] :
( ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(163,plain,
! [SV5: reg] :
( ( ( ~ ( c @ ( sK12_SY153 @ SV5 ) @ SV5 ) )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(164,plain,
! [SV5: reg] :
( ( ( c @ ( sK12_SY153 @ SV5 ) @ catalunya )
= $false )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(165,plain,
! [SV5: reg] :
( ( ( c @ ( sK10_SY153 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(166,plain,
! [SV6: reg] :
( ( ( ~ ( c @ ( sK13_SY155 @ SV6 ) @ SV6 ) )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(167,plain,
! [SV6: reg] :
( ( ( c @ ( sK13_SY155 @ SV6 ) @ spain )
= $false )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(168,plain,
! [SV6: reg] :
( ( ( c @ ( sK11_SY155 @ SV6 ) @ SV6 )
= $true )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(169,plain,
! [SV7: reg,SV2: reg] :
( ( ( ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV8: reg,SV2: reg] :
( ( ( ~ ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) ) )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV5: reg] :
( ( ( c @ ( sK12_SY153 @ SV5 ) @ SV5 )
= $true )
| ( ( c @ ( sK8_SY152 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(172,plain,
! [SV6: reg] :
( ( ( c @ ( sK13_SY155 @ SV6 ) @ SV6 )
= $true )
| ( ( c @ ( sK9_SY154 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(173,plain,
! [SV7: reg,SV2: reg] :
( ( ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV8: reg,SV2: reg] :
( ( ( ~ ( c @ SV2 @ france )
| ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(175,plain,
! [SV7: reg,SV2: reg] :
( ( ( ~ ( c @ SV2 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(176,plain,
! [SV8: reg,SV2: reg] :
( ( ( ~ ( c @ SV2 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(177,plain,
! [SV7: reg,SV2: reg] :
( ( ( c @ SV2 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(178,plain,
! [SV8: reg,SV2: reg] :
( ( ( c @ SV2 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(179,plain,
! [SV7: reg,SV2: reg] :
( ( ( ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(180,plain,
! [SV8: reg,SV2: reg] :
( ( ( ~ ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(181,plain,
! [SV7: reg,SV2: reg] :
( ( ( ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(182,plain,
! [SV8: reg,SV2: reg] :
( ( ( ~ ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(183,plain,
! [SV7: reg,SV2: reg] :
( ( ( ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(184,plain,
! [SV8: reg,SV2: reg] :
( ( ( ! [SY149: reg] :
~ ~ ( ~ ! [SY150: reg] :
( ~ ( c @ SY150 @ SY149 )
| ( c @ SY150 @ SV2 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY149 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(185,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ~ ( ~ ! [SY158: reg] :
( ~ ( c @ SY158 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY158 @ SV2 ) )
| ~ ! [SY159: reg] :
( ~ ( c @ SY159 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY159 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(186,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ~ ( ~ ! [SY160: reg] :
( ~ ( c @ SY160 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY160 @ SV2 ) )
| ~ ! [SY161: reg] :
( ~ ( c @ SY161 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY161 @ france ) ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(187,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ( ~ ! [SY158: reg] :
( ~ ( c @ SY158 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY158 @ SV2 ) )
| ~ ! [SY159: reg] :
( ~ ( c @ SY159 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY159 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(188,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ( ~ ! [SY160: reg] :
( ~ ( c @ SY160 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY160 @ SV2 ) )
| ~ ! [SY161: reg] :
( ~ ( c @ SY161 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY161 @ france ) ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(189,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ! [SY158: reg] :
( ~ ( c @ SY158 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY158 @ SV2 ) )
| ~ ! [SY159: reg] :
( ~ ( c @ SY159 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY159 @ france ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ! [SY160: reg] :
( ~ ( c @ SY160 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY160 @ SV2 ) )
| ~ ! [SY161: reg] :
( ~ ( c @ SY161 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY161 @ france ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ! [SY158: reg] :
( ~ ( c @ SY158 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY158 @ SV2 ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(192,plain,
! [SV2: reg,SV7: reg] :
( ( ( ~ ! [SY159: reg] :
( ~ ( c @ SY159 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY159 @ france ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(193,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ! [SY160: reg] :
( ~ ( c @ SY160 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY160 @ SV2 ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(194,plain,
! [SV2: reg,SV8: reg] :
( ( ( ~ ! [SY161: reg] :
( ~ ( c @ SY161 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY161 @ france ) ) )
= $false )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(195,plain,
! [SV2: reg,SV7: reg] :
( ( ( ! [SY158: reg] :
( ~ ( c @ SY158 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY158 @ SV2 ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(196,plain,
! [SV2: reg,SV7: reg] :
( ( ( ! [SY159: reg] :
( ~ ( c @ SY159 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SY159 @ france ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV2: reg,SV8: reg] :
( ( ( ! [SY160: reg] :
( ~ ( c @ SY160 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY160 @ SV2 ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(198,plain,
! [SV2: reg,SV8: reg] :
( ( ( ! [SY161: reg] :
( ~ ( c @ SY161 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SY161 @ france ) ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(199,plain,
! [SV2: reg,SV7: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SV9 @ SV2 ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(200,plain,
! [SV2: reg,SV7: reg,SV10: reg] :
( ( ( ~ ( c @ SV10 @ ( sK14_SY149 @ SV7 @ SV2 ) )
| ( c @ SV10 @ france ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV2: reg,SV8: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SV11 @ SV2 ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV2: reg,SV8: reg,SV12: reg] :
( ( ( ~ ( c @ SV12 @ ( sK15_SY149 @ SV8 @ SV2 ) )
| ( c @ SV12 @ france ) )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(203,plain,
! [SV2: reg,SV7: reg,SV9: reg] :
( ( ( ~ ( c @ SV9 @ ( sK14_SY149 @ SV7 @ SV2 ) ) )
= $true )
| ( ( c @ SV9 @ SV2 )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV2: reg,SV7: reg,SV10: reg] :
( ( ( ~ ( c @ SV10 @ ( sK14_SY149 @ SV7 @ SV2 ) ) )
= $true )
| ( ( c @ SV10 @ france )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV2: reg,SV8: reg,SV11: reg] :
( ( ( ~ ( c @ SV11 @ ( sK15_SY149 @ SV8 @ SV2 ) ) )
= $true )
| ( ( c @ SV11 @ SV2 )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV2: reg,SV8: reg,SV12: reg] :
( ( ( ~ ( c @ SV12 @ ( sK15_SY149 @ SV8 @ SV2 ) ) )
= $true )
| ( ( c @ SV12 @ france )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(207,plain,
! [SV2: reg,SV7: reg,SV9: reg] :
( ( ( c @ SV9 @ ( sK14_SY149 @ SV7 @ SV2 ) )
= $false )
| ( ( c @ SV9 @ SV2 )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(208,plain,
! [SV2: reg,SV7: reg,SV10: reg] :
( ( ( c @ SV10 @ ( sK14_SY149 @ SV7 @ SV2 ) )
= $false )
| ( ( c @ SV10 @ france )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV7 @ SV2 )
= $true )
| ( ( c @ SV7 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(209,plain,
! [SV2: reg,SV8: reg,SV11: reg] :
( ( ( c @ SV11 @ ( sK15_SY149 @ SV8 @ SV2 ) )
= $false )
| ( ( c @ SV11 @ SV2 )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(210,plain,
! [SV2: reg,SV8: reg,SV12: reg] :
( ( ( c @ SV12 @ ( sK15_SY149 @ SV8 @ SV2 ) )
= $false )
| ( ( c @ SV12 @ france )
= $true )
| ( ( c @ SV2 @ france )
= $false )
| ( ( c @ SV2 @ paris )
= $false )
| ( ( c @ SV8 @ paris )
= $true )
| ( ( c @ SV8 @ ( sK7_SY146 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(211,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,210,209,208,207,172,171,168,167,165,164,160,157,125,121,120,115,96,94,86,82,80,78,74,72,34]) ).
thf(212,plain,
( ( ! [SY120: reg] :
( ( c @ SY120 @ catalunya )
=> ( c @ SY120 @ spain ) )
& ~ ! [SY121: reg] :
( ( c @ SY121 @ spain )
=> ( c @ SY121 @ catalunya ) )
& ? [SY122: reg] :
( ( c @ SY122 @ catalunya )
& ~ ? [SY102: reg] :
( ! [SY95: reg] :
( ( c @ SY95 @ SY102 )
=> ( c @ SY95 @ SY122 ) )
& ! [SY104: reg] :
( ( c @ SY104 @ SY102 )
=> ( c @ SY104 @ catalunya ) ) )
& ( c @ SY122 @ spain )
& ~ ? [SY126: reg] :
( ! [SY110: reg] :
( ( c @ SY110 @ SY126 )
=> ( c @ SY110 @ SY122 ) )
& ! [SY128: reg] :
( ( c @ SY128 @ SY126 )
=> ( c @ SY128 @ spain ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(213,plain,
( ( ( c @ spain @ france )
& ~ ? [SY73: reg] :
( ! [SY66: reg] :
( ( c @ SY66 @ SY73 )
=> ( c @ SY66 @ spain ) )
& ! [SY75: reg] :
( ( c @ SY75 @ SY73 )
=> ( c @ SY75 @ france ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(214,plain,
( ( ! [SY43: reg] :
( ( c @ SY43 @ paris )
=> ( c @ SY43 @ france ) )
& ~ ! [SY44: reg] :
( ( c @ SY44 @ france )
=> ( c @ SY44 @ paris ) )
& ~ ? [SY45: reg] :
( ( c @ SY45 @ paris )
& ~ ? [SY25: reg] :
( ! [SY18: reg] :
( ( c @ SY18 @ SY25 )
=> ( c @ SY18 @ SY45 ) )
& ! [SY27: reg] :
( ( c @ SY27 @ SY25 )
=> ( c @ SY27 @ paris ) ) )
& ( c @ SY45 @ france )
& ~ ? [SY49: reg] :
( ! [SY33: reg] :
( ( c @ SY33 @ SY49 )
=> ( c @ SY33 @ SY45 ) )
& ! [SY51: reg] :
( ( c @ SY51 @ SY49 )
=> ( c @ SY51 @ france ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(215,plain,
( ( c @ spain @ paris )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(216,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(217,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(218,plain,
( ( ~ ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213,dc,ec,eq,ntpp,o,p,po,pp,tpp]) ).
thf(219,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(220,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
| ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(221,plain,
( ( ~ ( c @ spain @ france )
| ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(222,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(223,plain,
( ( ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(224,plain,
( ( ~ ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(225,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(226,plain,
( ( ~ ( c @ spain @ france ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(227,plain,
( ( ~ ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(228,plain,
( ( ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(229,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(230,plain,
( ( ~ ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(231,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(232,plain,
( ( c @ spain @ france )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(233,plain,
( ( ~ ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(234,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(235,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(236,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) )
| ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(237,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ catalunya )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ spain )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(238,plain,
( ( ~ ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(239,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(240,plain,
( ( ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(241,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ~ ( ~ ( c @ SX0 @ paris )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SX0 @ france )
| ~ ~ ~ ! [SX1: reg] :
~ ~ ( ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SX1 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(242,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(243,plain,
( ( ~ ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(244,plain,
( ( ~ ~ ( ~ ~ ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(245,plain,
( ( ! [SX0: reg] :
~ ~ ( ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ spain ) )
| ~ ! [SX1: reg] :
( ~ ( c @ SX1 @ SX0 )
| ( c @ SX1 @ france ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(246,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ paris )
| ( c @ SX0 @ france ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(247,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(248,plain,
! [SV13: reg] :
( ( ~ ~ ( ~ ~ ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(249,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ catalunya )
| ( c @ SX0 @ spain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(250,plain,
( ( ~ ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(251,plain,
( ( ~ ( ~ ~ ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(252,plain,
! [SV14: reg] :
( ( ~ ~ ( ~ ! [SY174: reg] :
( ~ ( c @ SY174 @ SV14 )
| ( c @ SY174 @ spain ) )
| ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(253,plain,
! [SV15: reg] :
( ( ~ ( c @ SV15 @ paris )
| ( c @ SV15 @ france ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(254,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ france )
| ( c @ SX0 @ paris ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(255,plain,
! [SV13: reg] :
( ( ~ ( ~ ~ ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(256,plain,
! [SV16: reg] :
( ( ~ ( c @ SV16 @ catalunya )
| ( c @ SV16 @ spain ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(257,plain,
( ( ! [SX0: reg] :
( ~ ( c @ SX0 @ spain )
| ( c @ SX0 @ catalunya ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(258,plain,
( ( ~ ~ ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
| ~ ~ ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(259,plain,
! [SV14: reg] :
( ( ~ ( ~ ! [SY174: reg] :
( ~ ( c @ SY174 @ SV14 )
| ( c @ SY174 @ spain ) )
| ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(260,plain,
! [SV15: reg] :
( ( ( ~ ( c @ SV15 @ paris ) )
= $true )
| ( ( c @ SV15 @ france )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(261,plain,
( ( ~ ( c @ sK17_SX0 @ france )
| ( c @ sK17_SX0 @ paris ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[254]) ).
thf(262,plain,
! [SV13: reg] :
( ( ~ ~ ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
| ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(263,plain,
! [SV16: reg] :
( ( ( ~ ( c @ SV16 @ catalunya ) )
= $true )
| ( ( c @ SV16 @ spain )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(264,plain,
( ( ~ ( c @ sK18_SX0 @ spain )
| ( c @ sK18_SX0 @ catalunya ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[257]) ).
thf(265,plain,
( ( ~ ~ ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(266,plain,
( ( ~ ~ ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(267,plain,
! [SV14: reg] :
( ( ~ ! [SY174: reg] :
( ~ ( c @ SY174 @ SV14 )
| ( c @ SY174 @ spain ) )
| ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(268,plain,
! [SV15: reg] :
( ( ( c @ SV15 @ paris )
= $false )
| ( ( c @ SV15 @ france )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(269,plain,
( ( ~ ( c @ sK17_SX0 @ france ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(270,plain,
( ( c @ sK17_SX0 @ paris )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(271,plain,
! [SV13: reg] :
( ( ( ~ ~ ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV16: reg] :
( ( ( c @ SV16 @ catalunya )
= $false )
| ( ( c @ SV16 @ spain )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(273,plain,
( ( ~ ( c @ sK18_SX0 @ spain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(274,plain,
( ( c @ sK18_SX0 @ catalunya )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(275,plain,
( ( ~ ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(276,plain,
( ( ~ ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(277,plain,
! [SV14: reg] :
( ( ( ~ ! [SY174: reg] :
( ~ ( c @ SY174 @ SV14 )
| ( c @ SY174 @ spain ) ) )
= $true )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(278,plain,
( ( c @ sK17_SX0 @ france )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(279,plain,
! [SV13: reg] :
( ( ( ~ ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(280,plain,
( ( c @ sK18_SX0 @ spain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(281,plain,
( ( ~ ( c @ sK16_SX0 @ catalunya )
| ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(282,plain,
( ( ~ ( c @ sK16_SX0 @ spain )
| ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV14: reg] :
( ( ( ! [SY174: reg] :
( ~ ( c @ SY174 @ SV14 )
| ( c @ SY174 @ spain ) ) )
= $false )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(284,plain,
! [SV13: reg] :
( ( ( ~ ( c @ SV13 @ paris )
| ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(285,plain,
( ( ~ ( c @ sK16_SX0 @ catalunya ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(286,plain,
( ( ~ ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(287,plain,
( ( ~ ( c @ sK16_SX0 @ spain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(288,plain,
( ( ~ ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(289,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
| ( c @ ( sK19_SY174 @ SV14 ) @ spain ) )
= $false )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[283]) ).
thf(290,plain,
! [SV13: reg] :
( ( ( ~ ( c @ SV13 @ paris ) )
= $true )
| ( ( ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(291,plain,
( ( c @ sK16_SX0 @ catalunya )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(292,plain,
( ( ~ ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(293,plain,
( ( c @ sK16_SX0 @ spain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(294,plain,
( ( ~ ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(295,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK19_SY174 @ SV14 ) @ SV14 ) )
= $false )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(296,plain,
! [SV14: reg] :
( ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(297,plain,
! [SV13: reg] :
( ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(298,plain,
( ( ~ ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(299,plain,
( ( ~ ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(300,plain,
! [SV14: reg] :
( ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true )
| ( ( ~ ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(301,plain,
! [SV14: reg] :
( ( ( ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(302,plain,
! [SV13: reg] :
( ( ( ~ ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(303,plain,
( ( ! [SY162: reg] :
~ ~ ( ~ ! [SY163: reg] :
( ~ ( c @ SY163 @ SY162 )
| ( c @ SY163 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY162 )
| ( c @ SX2 @ catalunya ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(304,plain,
( ( ! [SY165: reg] :
~ ~ ( ~ ! [SY166: reg] :
( ~ ( c @ SY166 @ SY165 )
| ( c @ SY166 @ sK16_SX0 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY165 )
| ( c @ SX2 @ spain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(305,plain,
! [SV14: reg] :
( ( ( ! [SY175: reg] :
( ~ ( c @ SY175 @ SV14 )
| ( c @ SY175 @ france ) ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(306,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK20_SY175 @ SV14 ) @ SV14 )
| ( c @ ( sK20_SY175 @ SV14 ) @ france ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[301]) ).
thf(307,plain,
! [SV13: reg] :
( ( ( ~ ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(308,plain,
! [SV17: reg] :
( ( ~ ~ ( ~ ! [SY176: reg] :
( ~ ( c @ SY176 @ SV17 )
| ( c @ SY176 @ sK16_SX0 ) )
| ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(309,plain,
! [SV18: reg] :
( ( ~ ~ ( ~ ! [SY178: reg] :
( ~ ( c @ SY178 @ SV18 )
| ( c @ SY178 @ sK16_SX0 ) )
| ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(310,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK21_SY175 @ SV14 ) @ SV14 )
| ( c @ ( sK21_SY175 @ SV14 ) @ france ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[305]) ).
thf(311,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK20_SY175 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(312,plain,
! [SV14: reg] :
( ( ( c @ ( sK20_SY175 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(313,plain,
! [SV13: reg] :
( ( ( ! [SY168: reg] :
~ ~ ( ~ ! [SY169: reg] :
( ~ ( c @ SY169 @ SY168 )
| ( c @ SY169 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY168 )
| ( c @ SX2 @ paris ) ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(314,plain,
! [SV17: reg] :
( ( ~ ( ~ ! [SY176: reg] :
( ~ ( c @ SY176 @ SV17 )
| ( c @ SY176 @ sK16_SX0 ) )
| ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(315,plain,
! [SV18: reg] :
( ( ~ ( ~ ! [SY178: reg] :
( ~ ( c @ SY178 @ SV18 )
| ( c @ SY178 @ sK16_SX0 ) )
| ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV14: reg] :
( ( ( ~ ( c @ ( sK21_SY175 @ SV14 ) @ SV14 ) )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(317,plain,
! [SV14: reg] :
( ( ( c @ ( sK21_SY175 @ SV14 ) @ france )
= $false )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(318,plain,
! [SV14: reg] :
( ( ( c @ ( sK20_SY175 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ spain )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(319,plain,
! [SV13: reg] :
( ( ( ~ ~ ( ~ ! [SY180: reg] :
( ~ ( c @ SY180 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY180 @ SV13 ) )
| ~ ! [SY181: reg] :
( ~ ( c @ SY181 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY181 @ paris ) ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(320,plain,
! [SV17: reg] :
( ( ~ ! [SY176: reg] :
( ~ ( c @ SY176 @ SV17 )
| ( c @ SY176 @ sK16_SX0 ) )
| ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(321,plain,
! [SV18: reg] :
( ( ~ ! [SY178: reg] :
( ~ ( c @ SY178 @ SV18 )
| ( c @ SY178 @ sK16_SX0 ) )
| ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(322,plain,
! [SV14: reg] :
( ( ( c @ ( sK21_SY175 @ SV14 ) @ SV14 )
= $true )
| ( ( c @ ( sK19_SY174 @ SV14 ) @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(323,plain,
! [SV13: reg] :
( ( ( ~ ( ~ ! [SY180: reg] :
( ~ ( c @ SY180 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY180 @ SV13 ) )
| ~ ! [SY181: reg] :
( ~ ( c @ SY181 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY181 @ paris ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(324,plain,
! [SV17: reg] :
( ( ( ~ ! [SY176: reg] :
( ~ ( c @ SY176 @ SV17 )
| ( c @ SY176 @ sK16_SX0 ) ) )
= $true )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV18: reg] :
( ( ( ~ ! [SY178: reg] :
( ~ ( c @ SY178 @ SV18 )
| ( c @ SY178 @ sK16_SX0 ) ) )
= $true )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(326,plain,
! [SV13: reg] :
( ( ( ~ ! [SY180: reg] :
( ~ ( c @ SY180 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY180 @ SV13 ) )
| ~ ! [SY181: reg] :
( ~ ( c @ SY181 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY181 @ paris ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(327,plain,
! [SV17: reg] :
( ( ( ! [SY176: reg] :
( ~ ( c @ SY176 @ SV17 )
| ( c @ SY176 @ sK16_SX0 ) ) )
= $false )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(328,plain,
! [SV18: reg] :
( ( ( ! [SY178: reg] :
( ~ ( c @ SY178 @ SV18 )
| ( c @ SY178 @ sK16_SX0 ) ) )
= $false )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(329,plain,
! [SV13: reg] :
( ( ( ~ ! [SY180: reg] :
( ~ ( c @ SY180 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY180 @ SV13 ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(330,plain,
! [SV13: reg] :
( ( ( ~ ! [SY181: reg] :
( ~ ( c @ SY181 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY181 @ paris ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(331,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
| ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 ) )
= $false )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[327]) ).
thf(332,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
| ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 ) )
= $false )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(333,plain,
! [SV13: reg] :
( ( ( ! [SY180: reg] :
( ~ ( c @ SY180 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY180 @ SV13 ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(334,plain,
! [SV13: reg] :
( ( ( ! [SY181: reg] :
( ~ ( c @ SY181 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SY181 @ paris ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(335,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK23_SY176 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(336,plain,
! [SV17: reg] :
( ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(337,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK24_SY178 @ SV18 ) @ SV18 ) )
= $false )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(338,plain,
! [SV18: reg] :
( ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(339,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SV19 @ SV13 ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
| ( c @ SV20 @ paris ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(341,plain,
! [SV17: reg] :
( ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(342,plain,
! [SV17: reg] :
( ( ( ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(343,plain,
! [SV18: reg] :
( ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true )
| ( ( ~ ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(344,plain,
! [SV18: reg] :
( ( ( ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(345,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ( c @ SV19 @ ( sK22_SY168 @ SV13 ) ) )
= $true )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(346,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ( c @ SV20 @ ( sK22_SY168 @ SV13 ) ) )
= $true )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(347,plain,
! [SV17: reg] :
( ( ( ! [SY177: reg] :
( ~ ( c @ SY177 @ SV17 )
| ( c @ SY177 @ catalunya ) ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(348,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK25_SY177 @ SV17 ) @ SV17 )
| ( c @ ( sK25_SY177 @ SV17 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(349,plain,
! [SV18: reg] :
( ( ( ! [SY179: reg] :
( ~ ( c @ SY179 @ SV18 )
| ( c @ SY179 @ spain ) ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(350,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK26_SY179 @ SV18 ) @ SV18 )
| ( c @ ( sK26_SY179 @ SV18 ) @ spain ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[344]) ).
thf(351,plain,
! [SV13: reg,SV19: reg] :
( ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(352,plain,
! [SV13: reg,SV20: reg] :
( ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( ~ ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(353,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK27_SY177 @ SV17 ) @ SV17 )
| ( c @ ( sK27_SY177 @ SV17 ) @ catalunya ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[347]) ).
thf(354,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK25_SY177 @ SV17 ) @ SV17 ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(355,plain,
! [SV17: reg] :
( ( ( c @ ( sK25_SY177 @ SV17 ) @ catalunya )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(356,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK28_SY179 @ SV18 ) @ SV18 )
| ( c @ ( sK28_SY179 @ SV18 ) @ spain ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[349]) ).
thf(357,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK26_SY179 @ SV18 ) @ SV18 ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(358,plain,
! [SV18: reg] :
( ( ( c @ ( sK26_SY179 @ SV18 ) @ spain )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(359,plain,
! [SV19: reg,SV13: reg] :
( ( ( ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(360,plain,
! [SV20: reg,SV13: reg] :
( ( ( ~ ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) ) )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(361,plain,
! [SV17: reg] :
( ( ( ~ ( c @ ( sK27_SY177 @ SV17 ) @ SV17 ) )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(362,plain,
! [SV17: reg] :
( ( ( c @ ( sK27_SY177 @ SV17 ) @ catalunya )
= $false )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(363,plain,
! [SV17: reg] :
( ( ( c @ ( sK25_SY177 @ SV17 ) @ SV17 )
= $true )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(364,plain,
! [SV18: reg] :
( ( ( ~ ( c @ ( sK28_SY179 @ SV18 ) @ SV18 ) )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(365,plain,
! [SV18: reg] :
( ( ( c @ ( sK28_SY179 @ SV18 ) @ spain )
= $false )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(366,plain,
! [SV18: reg] :
( ( ( c @ ( sK26_SY179 @ SV18 ) @ SV18 )
= $true )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ sK16_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(367,plain,
! [SV19: reg,SV13: reg] :
( ( ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(368,plain,
! [SV20: reg,SV13: reg] :
( ( ( ~ ( c @ SV13 @ france )
| ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(369,plain,
! [SV17: reg] :
( ( ( c @ ( sK27_SY177 @ SV17 ) @ SV17 )
= $true )
| ( ( c @ ( sK23_SY176 @ SV17 ) @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(370,plain,
! [SV18: reg] :
( ( ( c @ ( sK28_SY179 @ SV18 ) @ SV18 )
= $true )
| ( ( c @ ( sK24_SY178 @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(371,plain,
! [SV19: reg,SV13: reg] :
( ( ( ~ ( c @ SV13 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(372,plain,
! [SV20: reg,SV13: reg] :
( ( ( ~ ( c @ SV13 @ france ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(373,plain,
! [SV19: reg,SV13: reg] :
( ( ( c @ SV13 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(374,plain,
! [SV20: reg,SV13: reg] :
( ( ( c @ SV13 @ france )
= $false )
| ( ( ~ ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(375,plain,
! [SV19: reg,SV13: reg] :
( ( ( ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(376,plain,
! [SV20: reg,SV13: reg] :
( ( ( ~ ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(377,plain,
! [SV19: reg,SV13: reg] :
( ( ( ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(378,plain,
! [SV20: reg,SV13: reg] :
( ( ( ~ ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(379,plain,
! [SV19: reg,SV13: reg] :
( ( ( ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(380,plain,
! [SV20: reg,SV13: reg] :
( ( ( ! [SY171: reg] :
~ ~ ( ~ ! [SY172: reg] :
( ~ ( c @ SY172 @ SY171 )
| ( c @ SY172 @ SV13 ) )
| ~ ! [SX2: reg] :
( ~ ( c @ SX2 @ SY171 )
| ( c @ SX2 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(381,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ~ ( ~ ! [SY182: reg] :
( ~ ( c @ SY182 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY182 @ SV13 ) )
| ~ ! [SY183: reg] :
( ~ ( c @ SY183 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY183 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[379]) ).
thf(382,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ~ ( ~ ! [SY184: reg] :
( ~ ( c @ SY184 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY184 @ SV13 ) )
| ~ ! [SY185: reg] :
( ~ ( c @ SY185 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY185 @ france ) ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(383,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ( ~ ! [SY182: reg] :
( ~ ( c @ SY182 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY182 @ SV13 ) )
| ~ ! [SY183: reg] :
( ~ ( c @ SY183 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY183 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(384,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ( ~ ! [SY184: reg] :
( ~ ( c @ SY184 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY184 @ SV13 ) )
| ~ ! [SY185: reg] :
( ~ ( c @ SY185 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY185 @ france ) ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(385,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ! [SY182: reg] :
( ~ ( c @ SY182 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY182 @ SV13 ) )
| ~ ! [SY183: reg] :
( ~ ( c @ SY183 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY183 @ france ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(386,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ! [SY184: reg] :
( ~ ( c @ SY184 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY184 @ SV13 ) )
| ~ ! [SY185: reg] :
( ~ ( c @ SY185 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY185 @ france ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(387,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ! [SY182: reg] :
( ~ ( c @ SY182 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY182 @ SV13 ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(388,plain,
! [SV13: reg,SV19: reg] :
( ( ( ~ ! [SY183: reg] :
( ~ ( c @ SY183 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY183 @ france ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(389,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ! [SY184: reg] :
( ~ ( c @ SY184 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY184 @ SV13 ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(390,plain,
! [SV13: reg,SV20: reg] :
( ( ( ~ ! [SY185: reg] :
( ~ ( c @ SY185 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY185 @ france ) ) )
= $false )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(391,plain,
! [SV13: reg,SV19: reg] :
( ( ( ! [SY182: reg] :
( ~ ( c @ SY182 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY182 @ SV13 ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(392,plain,
! [SV13: reg,SV19: reg] :
( ( ( ! [SY183: reg] :
( ~ ( c @ SY183 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SY183 @ france ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(393,plain,
! [SV13: reg,SV20: reg] :
( ( ( ! [SY184: reg] :
( ~ ( c @ SY184 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY184 @ SV13 ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(394,plain,
! [SV13: reg,SV20: reg] :
( ( ( ! [SY185: reg] :
( ~ ( c @ SY185 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SY185 @ france ) ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(395,plain,
! [SV13: reg,SV19: reg,SV21: reg] :
( ( ( ~ ( c @ SV21 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SV21 @ SV13 ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(396,plain,
! [SV13: reg,SV19: reg,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK29_SY171 @ SV19 @ SV13 ) )
| ( c @ SV22 @ france ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(397,plain,
! [SV13: reg,SV20: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SV23 @ SV13 ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(398,plain,
! [SV13: reg,SV20: reg,SV24: reg] :
( ( ( ~ ( c @ SV24 @ ( sK30_SY171 @ SV20 @ SV13 ) )
| ( c @ SV24 @ france ) )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(399,plain,
! [SV13: reg,SV19: reg,SV21: reg] :
( ( ( ~ ( c @ SV21 @ ( sK29_SY171 @ SV19 @ SV13 ) ) )
= $true )
| ( ( c @ SV21 @ SV13 )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(400,plain,
! [SV13: reg,SV19: reg,SV22: reg] :
( ( ( ~ ( c @ SV22 @ ( sK29_SY171 @ SV19 @ SV13 ) ) )
= $true )
| ( ( c @ SV22 @ france )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(401,plain,
! [SV13: reg,SV20: reg,SV23: reg] :
( ( ( ~ ( c @ SV23 @ ( sK30_SY171 @ SV20 @ SV13 ) ) )
= $true )
| ( ( c @ SV23 @ SV13 )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(402,plain,
! [SV13: reg,SV20: reg,SV24: reg] :
( ( ( ~ ( c @ SV24 @ ( sK30_SY171 @ SV20 @ SV13 ) ) )
= $true )
| ( ( c @ SV24 @ france )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(403,plain,
! [SV13: reg,SV19: reg,SV21: reg] :
( ( ( c @ SV21 @ ( sK29_SY171 @ SV19 @ SV13 ) )
= $false )
| ( ( c @ SV21 @ SV13 )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(404,plain,
! [SV13: reg,SV19: reg,SV22: reg] :
( ( ( c @ SV22 @ ( sK29_SY171 @ SV19 @ SV13 ) )
= $false )
| ( ( c @ SV22 @ france )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV19 @ SV13 )
= $true )
| ( ( c @ SV19 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(405,plain,
! [SV13: reg,SV20: reg,SV23: reg] :
( ( ( c @ SV23 @ ( sK30_SY171 @ SV20 @ SV13 ) )
= $false )
| ( ( c @ SV23 @ SV13 )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(406,plain,
! [SV13: reg,SV20: reg,SV24: reg] :
( ( ( c @ SV24 @ ( sK30_SY171 @ SV20 @ SV13 ) )
= $false )
| ( ( c @ SV24 @ france )
= $true )
| ( ( c @ SV13 @ france )
= $false )
| ( ( c @ SV13 @ paris )
= $false )
| ( ( c @ SV20 @ paris )
= $true )
| ( ( c @ SV20 @ ( sK22_SY168 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(407,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[215,406,405,404,403,370,369,366,365,363,362,358,355,322,318,317,312,293,291,280,278,274,272,270,268,232]) ).
thf(408,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[407,211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG002^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n007.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 10:00:00 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.21/0.45
% 1.21/0.45 No.of.Axioms: 3
% 1.21/0.45
% 1.21/0.45 Length.of.Defs: 1298
% 1.21/0.45
% 1.21/0.45 Contains.Choice.Funs: false
% 1.21/0.45 ..............
% 1.21/0.45
% 1.21/0.45 ********************************
% 1.21/0.45 * All subproblems solved! *
% 1.21/0.45 ********************************
% 1.21/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:3,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:407,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.21/0.45
% 1.21/0.45 %**** Beginning of derivation protocol ****
% 1.21/0.45 % SZS output start CNFRefutation
% See solution above
% 1.21/0.45
% 1.21/0.45 %**** End of derivation protocol ****
% 1.21/0.45 %**** no. of clauses in derivation: 406 ****
% 1.21/0.45 %**** clause counter: 407 ****
% 1.21/0.45
% 1.21/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:3,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:407,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------