TSTP Solution File: LCL956^18 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL956^18 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:27:50 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 76
% Syntax : Number of formulae : 566 ( 31 unt; 62 typ; 10 def)
% Number of atoms : 7295 (1851 equ; 0 cnn)
% Maximal formula atoms : 30 ( 14 avg)
% Number of connectives : 14446 (3613 ~;2978 |; 4 &;7846 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 119 ( 119 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 61 usr; 10 con; 0-3 aty)
% Number of variables : 1764 ( 39 ^1722 !; 3 ?;1764 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_big_q,type,
big_q: $i > mworld > $o ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_p,type,
p: mworld > $o ).
thf(tp_sK10_SX0,type,
sK10_SX0: mworld > mworld ).
thf(tp_sK11_SX0,type,
sK11_SX0: mworld > mworld ).
thf(tp_sK12_SY27,type,
sK12_SY27: $i > mworld ).
thf(tp_sK13_SY22,type,
sK13_SY22: $i ).
thf(tp_sK14_SX0,type,
sK14_SX0: $i > mworld ).
thf(tp_sK15_SY19,type,
sK15_SY19: $i > mworld ).
thf(tp_sK16_SX0,type,
sK16_SX0: $i > mworld ).
thf(tp_sK17_SX0,type,
sK17_SX0: $i > mworld ).
thf(tp_sK18_SY19,type,
sK18_SY19: $i > mworld ).
thf(tp_sK19_SX0,type,
sK19_SX0: $i > mworld ).
thf(tp_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK20_SY25,type,
sK20_SY25: $i > mworld ).
thf(tp_sK21_SY32,type,
sK21_SY32: mworld > $i ).
thf(tp_sK22_SY38,type,
sK22_SY38: mworld > $i ).
thf(tp_sK23_SY30,type,
sK23_SY30: $i > mworld ).
thf(tp_sK24_SY45,type,
sK24_SY45: $i > $i ).
thf(tp_sK25_SY30,type,
sK25_SY30: $i > mworld ).
thf(tp_sK26_SY51,type,
sK26_SY51: $i > $i ).
thf(tp_sK27_SY57,type,
sK27_SY57: $i > $i ).
thf(tp_sK28_SY67,type,
sK28_SY67: $i > $i ).
thf(tp_sK29_SY35,type,
sK29_SY35: $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK30_SY41,type,
sK30_SY41: $i > mworld > mworld ).
thf(tp_sK31_SY48,type,
sK31_SY48: $i > $i > mworld ).
thf(tp_sK32_SY63,type,
sK32_SY63: $i > mworld > mworld ).
thf(tp_sK33_SY65,type,
sK33_SY65: $i > mworld > mworld ).
thf(tp_sK34_SY54,type,
sK34_SY54: $i > $i > mworld ).
thf(tp_sK35_SY60,type,
sK35_SY60: $i > $i > mworld ).
thf(tp_sK36_SY63,type,
sK36_SY63: $i > mworld > mworld ).
thf(tp_sK37_SY65,type,
sK37_SY65: $i > mworld > mworld ).
thf(tp_sK38_SY70,type,
sK38_SY70: $i > $i > mworld ).
thf(tp_sK39_SY73,type,
sK39_SY73: $i > $i > mworld ).
thf(tp_sK3_SX0,type,
sK3_SX0: mworld ).
thf(tp_sK40_SY75,type,
sK40_SY75: $i > $i > mworld ).
thf(tp_sK41_SY77,type,
sK41_SY77: $i > $i > mworld ).
thf(tp_sK42_SY73,type,
sK42_SY73: $i > $i > mworld ).
thf(tp_sK43_SY81,type,
sK43_SY81: $i > $i > mworld ).
thf(tp_sK44_SY75,type,
sK44_SY75: $i > $i > mworld ).
thf(tp_sK45_SY77,type,
sK45_SY77: $i > $i > mworld ).
thf(tp_sK46_SY81,type,
sK46_SY81: $i > $i > mworld ).
thf(tp_sK4_SY4,type,
sK4_SY4: $i ).
thf(tp_sK5_SY7,type,
sK5_SY7: mworld ).
thf(tp_sK6_SX0,type,
sK6_SX0: mworld ).
thf(tp_sK7_SY11,type,
sK7_SY11: $i ).
thf(tp_sK8_SY20,type,
sK8_SY20: $i > mworld ).
thf(tp_sK9_SY14,type,
sK9_SY14: $i > mworld ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ W @ V ) )
=> ( eiw_di @ X @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(2,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(3,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(4,conjecture,
( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) )
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) )
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2109) ).
thf(5,negated_conjecture,
( ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) )
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) )
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) )
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) )
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(8,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(9,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ~ ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) )
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mand @ ( mbox @ p )
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) )
@ ( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(14,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(16,plain,
! [SV3: mworld] :
( ( ! [SY1: mworld,SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV3 )
| ~ ( mrel @ SV3 @ SY1 )
| ( eiw_di @ SY2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV4: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV5: mworld,SV3: mworld] :
( ( ! [SY3: $i] :
( ~ ( eiw_di @ SY3 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 )
| ( eiw_di @ SY3 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 )
| ( eiw_di @ SV6 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ~ ~ ! [SY4: $i] :
~ ~ ( ~ ( eiw_di @ SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY6 )
| ( big_q @ SY4 @ SY6 ) ) ) )
| ~ ( ~ ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) )
| ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(27,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ~ ! [SY4: $i] :
~ ~ ( ~ ( eiw_di @ SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY6 )
| ( big_q @ SY4 @ SY6 ) ) ) )
| ~ ( ~ ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) )
| ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV6: $i,SV5: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV5 )
= $false )
| ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ( mrel @ mactual @ sK2_SX0 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ~ ~ ! [SY4: $i] :
~ ~ ( ~ ( eiw_di @ SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY6 )
| ( big_q @ SY4 @ SY6 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ ( ~ ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) )
| ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ! [SY4: $i] :
~ ~ ( ~ ( eiw_di @ SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY6 )
| ( big_q @ SY4 @ SY6 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( ( ~ ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) )
| ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ~ ( mrel @ mactual @ sK3_SX0 )
| ~ ~ ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
| ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY15: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY15 )
| ( big_q @ SY13 @ SY15 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(38,plain,
( ( ( ! [SY4: $i] :
~ ~ ( ~ ( eiw_di @ SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY6 )
| ( big_q @ SY4 @ SY6 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( ( ~ ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) ) )
= $true )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ( ~ ( mrel @ mactual @ sK3_SX0 ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ( ~ ~ ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
| ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY15: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY15 )
| ( big_q @ SY13 @ SY15 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
( ( ( ~ ~ ( ~ ( eiw_di @ sK4_SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(43,plain,
( ( ( ! [SY7: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY7 )
| ( p @ SY7 ) ) )
= $false )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( ( mrel @ mactual @ sK3_SX0 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ~ ~ ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ( ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY15: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY15 )
| ( big_q @ SY13 @ SY15 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( ( ~ ( ~ ( eiw_di @ sK4_SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ( ~ ( mrel @ sK2_SX0 @ sK5_SY7 )
| ( p @ sK5_SY7 ) )
= $false )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(49,plain,
( ( ( ~ ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( ( ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY15: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY15 )
| ( big_q @ SY13 @ SY15 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
( ( ( ~ ( eiw_di @ sK4_SY4 @ sK2_SX0 )
| ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ( ~ ( mrel @ sK2_SX0 @ sK5_SY7 ) )
= $false )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV7 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(56,plain,
( ( ( ~ ( eiw_di @ sK4_SY4 @ sK2_SX0 ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
( ( ( ~ ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
( ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
( ( ( ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
( ( ( ~ ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(61,plain,
( ( ( ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV7 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( ( ~ ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( ( ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( ( ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( ( ! [SY10: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY10 )
| ( p @ SY10 ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
( ( ( ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV7: $i] :
( ( ( ~ ( eiw_di @ SV7 @ sK3_SX0 )
| ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
( ( ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
( ( ( ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ( big_q @ SY8 @ SY9 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(73,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV9 )
| ( p @ SV9 ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(75,plain,
( ( ( ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ( big_q @ SY11 @ SY12 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV7: $i] :
( ( ( ~ ( eiw_di @ SV7 @ sK3_SX0 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(77,plain,
( ( ( ~ ( mrel @ mactual @ sK6_SX0 )
| ~ ~ ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
| ~ ! [SY24: $i] :
~ ~ ( ~ ( eiw_di @ SY24 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY26: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY26 )
| ( big_q @ SY24 @ SY26 ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(78,plain,
( ( ( ~ ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
( ( ( ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV10 @ sK2_SX0 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV9 ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ~ ~ ( ~ ( eiw_di @ sK7_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ( big_q @ sK7_SY11 @ SY28 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(84,plain,
! [SV7: $i] :
( ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
( ( ( ~ ( mrel @ mactual @ sK6_SX0 ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(86,plain,
( ( ( ~ ~ ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
| ~ ! [SY24: $i] :
~ ~ ( ~ ( eiw_di @ SY24 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY26: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY26 )
| ( big_q @ SY24 @ SY26 ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(87,plain,
( ( ( ! [SY5: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY5 )
| ( p @ SY5 ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(88,plain,
( ( ( ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ( big_q @ sK4_SY4 @ SY17 ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV10 @ sK2_SX0 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(91,plain,
! [SV9: mworld] :
( ( ( mrel @ sK3_SX0 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(92,plain,
( ( ( ~ ( ~ ( eiw_di @ sK7_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ( big_q @ sK7_SY11 @ SY28 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(93,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(94,plain,
( ( ( mrel @ mactual @ sK6_SX0 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(95,plain,
( ( ( ~ ~ ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(96,plain,
( ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( eiw_di @ SY24 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY26: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY26 )
| ( big_q @ SY24 @ SY26 ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(97,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV11 )
| ( p @ SV11 ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV12 )
| ( big_q @ sK4_SY4 @ SV12 ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ sK2_SX0 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(100,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ sK2_SX0 ) )
= $true )
| ( ( ~ ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(101,plain,
( ( ( ~ ( eiw_di @ sK7_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ( big_q @ sK7_SY11 @ SY28 ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV7: $i] :
( ( ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(103,plain,
( ( ( ~ ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(104,plain,
( ( ( ! [SY24: $i] :
~ ~ ( ~ ( eiw_di @ SY24 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY26: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY26 )
| ( big_q @ SY24 @ SY26 ) ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV11 ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV12 ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ sK2_SX0 ) )
= $true )
| ( ( ~ ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV8: $i] :
( ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(109,plain,
( ( ( ~ ( eiw_di @ sK7_SY11 @ sK3_SX0 ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(110,plain,
( ( ( ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ( big_q @ sK7_SY11 @ SY28 ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(111,plain,
! [SV7: $i] :
( ( ( ~ ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(112,plain,
( ( ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) )
| ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV13 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV11: mworld] :
( ( ( mrel @ sK2_SX0 @ SV11 )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV12: mworld] :
( ( ( mrel @ sK2_SX0 @ SV12 )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV10: $i] :
( ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV8: $i] :
( ( ( ! [SY20: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY20 )
| ( big_q @ SV8 @ SY20 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(118,plain,
( ( ( eiw_di @ sK7_SY11 @ sK3_SX0 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(119,plain,
( ( ( ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ( big_q @ sK7_SY11 @ SY28 ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(120,plain,
! [SV7: $i] :
( ( ( ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ( p @ SY14 ) ) )
= $false )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(121,plain,
( ( ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(122,plain,
( ( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(123,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV13 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV11: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV12: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV10: $i] :
( ( ( ! [SY27: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY27 )
| ( big_q @ SV10 @ SY27 ) ) )
= $false )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
| ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(128,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV14 )
| ( big_q @ sK7_SY11 @ SV14 ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
| ( p @ ( sK9_SY14 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(130,plain,
( ( ( ! [SY21: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY21 )
| ( p @ SY21 ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(131,plain,
( ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV13: $i] :
( ( ( ~ ( eiw_di @ SV13 @ sK6_SX0 )
| ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(133,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) )
| ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
| ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY36: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY36 )
| ( big_q @ SY34 @ SY36 ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(134,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) )
| ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
| ~ ! [SY40: $i] :
~ ~ ( ~ ( eiw_di @ SY40 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY42: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY42 )
| ( big_q @ SY40 @ SY42 ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(135,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
| ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) ) )
= $false )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(136,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(137,plain,
! [SV8: $i] :
( ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(138,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV14 ) )
= $true )
| ( ( big_q @ sK7_SY11 @ SV14 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(139,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(140,plain,
! [SV7: $i] :
( ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(141,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ sK6_SX0 @ SV15 )
| ( p @ SV15 ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(142,plain,
( ( ( ! [SY22: $i] :
~ ~ ( ~ ( eiw_di @ SY22 @ sK6_SX0 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY23 )
| ( big_q @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV13: $i] :
( ( ( ~ ( eiw_di @ SV13 @ sK6_SX0 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK10_SX0 @ SV11 ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(145,plain,
! [SV11: mworld] :
( ( ( ~ ~ ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) )
| ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
| ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY36: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY36 )
| ( big_q @ SY34 @ SY36 ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(146,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK11_SX0 @ SV12 ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(147,plain,
! [SV12: mworld] :
( ( ( ~ ~ ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) )
| ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
| ~ ! [SY40: $i] :
~ ~ ( ~ ( eiw_di @ SY40 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY42: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY42 )
| ( big_q @ SY40 @ SY42 ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(148,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) ) )
= $false )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(149,plain,
! [SV10: $i] :
( ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(150,plain,
! [SV8: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(151,plain,
! [SV8: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(152,plain,
! [SV14: mworld] :
( ( ( mrel @ sK3_SX0 @ SV14 )
= $false )
| ( ( big_q @ sK7_SY11 @ SV14 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(153,plain,
! [SV7: $i] :
( ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(154,plain,
! [SV7: $i] :
( ( ( ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $false )
| ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(155,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ sK6_SX0 @ SV15 ) )
= $true )
| ( ( p @ SV15 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(156,plain,
( ( ( ~ ~ ( ~ ( eiw_di @ sK13_SY22 @ sK6_SX0 )
| ~ ! [SY43: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY43 )
| ( big_q @ sK13_SY22 @ SY43 ) ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(157,plain,
! [SV13: $i] :
( ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( ~ ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ ( sK10_SX0 @ SV11 ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(159,plain,
! [SV11: mworld] :
( ( ( ~ ~ ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) )
| ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(160,plain,
! [SV11: mworld] :
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY36: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY36 )
| ( big_q @ SY34 @ SY36 ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(161,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ ( sK11_SX0 @ SV12 ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(162,plain,
! [SV12: mworld] :
( ( ( ~ ~ ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) )
| ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(163,plain,
! [SV12: mworld] :
( ( ( ~ ! [SY40: $i] :
~ ~ ( ~ ( eiw_di @ SY40 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY42: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY42 )
| ( big_q @ SY40 @ SY42 ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(164,plain,
! [SV10: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(165,plain,
! [SV10: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV8: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(167,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) )
| ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
| ~ ! [SY47: $i] :
~ ~ ( ~ ( eiw_di @ SY47 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY49: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY49 )
| ( big_q @ SY47 @ SY49 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(168,plain,
! [SV7: $i] :
( ( ( ! [SY19: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY19 )
| ( big_q @ SV7 @ SY19 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK15_SY19 @ SV7 ) )
| ( big_q @ SV7 @ ( sK15_SY19 @ SV7 ) ) )
= $false )
| ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(170,plain,
! [SV15: mworld] :
( ( ( mrel @ sK6_SX0 @ SV15 )
= $false )
| ( ( p @ SV15 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(171,plain,
( ( ( ~ ( ~ ( eiw_di @ sK13_SY22 @ sK6_SX0 )
| ~ ! [SY43: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY43 )
| ( big_q @ sK13_SY22 @ SY43 ) ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(172,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(173,plain,
! [SV11: mworld] :
( ( ( ~ ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) )
| ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(174,plain,
! [SV11: mworld] :
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY36: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY36 )
| ( big_q @ SY34 @ SY36 ) ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(175,plain,
! [SV12: mworld] :
( ( ( ~ ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) )
| ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(176,plain,
! [SV12: mworld] :
( ( ( ! [SY40: $i] :
~ ~ ( ~ ( eiw_di @ SY40 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY42: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY42 )
| ( big_q @ SY40 @ SY42 ) ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(177,plain,
! [SV10: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( p @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( p @ SX2 ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( big_q @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) )
| ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
| ~ ! [SY53: $i] :
~ ~ ( ~ ( eiw_di @ SY53 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY55 )
| ( big_q @ SY53 @ SY55 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(179,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) )
| ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
| ~ ! [SY59: $i] :
~ ~ ( ~ ( eiw_di @ SY59 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY61 )
| ( big_q @ SY59 @ SY61 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(180,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK14_SX0 @ SV8 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(181,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) )
| ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
| ~ ! [SY47: $i] :
~ ~ ( ~ ( eiw_di @ SY47 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY49: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY49 )
| ( big_q @ SY47 @ SY49 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(182,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK18_SY19 @ SV7 ) )
| ( big_q @ SV7 @ ( sK18_SY19 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[168]) ).
thf(183,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK15_SY19 @ SV7 ) ) )
= $false )
| ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(184,plain,
! [SV7: $i] :
( ( ( big_q @ SV7 @ ( sK15_SY19 @ SV7 ) )
= $false )
| ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(185,plain,
( ( ( ~ ( eiw_di @ sK13_SY22 @ sK6_SX0 )
| ~ ! [SY43: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY43 )
| ( big_q @ sK13_SY22 @ SY43 ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV13: $i] :
( ( ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) )
| ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(187,plain,
! [SV11: mworld] :
( ( ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) )
| ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(188,plain,
! [SV11: mworld,SV16: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(189,plain,
! [SV12: mworld] :
( ( ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) )
| ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV12: mworld,SV17: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
| ~ ! [SY69: $i] :
~ ~ ( ~ ( eiw_di @ SY69 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY71: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY71 )
| ( big_q @ SY69 @ SY71 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[177]) ).
thf(192,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK16_SX0 @ SV10 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(193,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) )
| ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
| ~ ! [SY53: $i] :
~ ~ ( ~ ( eiw_di @ SY53 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY55 )
| ( big_q @ SY53 @ SY55 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(194,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK17_SX0 @ SV8 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(195,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) )
| ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
| ~ ! [SY59: $i] :
~ ~ ( ~ ( eiw_di @ SY59 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY61 )
| ( big_q @ SY59 @ SY61 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(196,plain,
! [SV8: $i] :
( ( ( mrel @ mactual @ ( sK14_SX0 @ SV8 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(197,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) )
| ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(198,plain,
! [SV8: $i] :
( ( ( ~ ! [SY47: $i] :
~ ~ ( ~ ( eiw_di @ SY47 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY49: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY49 )
| ( big_q @ SY47 @ SY49 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(199,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ sK3_SX0 @ ( sK18_SY19 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(200,plain,
! [SV7: $i] :
( ( ( big_q @ SV7 @ ( sK18_SY19 @ SV7 ) )
= $false )
| ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(201,plain,
! [SV7: $i] :
( ( ( mrel @ sK3_SX0 @ ( sK15_SY19 @ SV7 ) )
= $true )
| ( ( p @ ( sK9_SY14 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(202,plain,
( ( ( ~ ( eiw_di @ sK13_SY22 @ sK6_SX0 ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(203,plain,
( ( ( ~ ! [SY43: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY43 )
| ( big_q @ sK13_SY22 @ SY43 ) ) )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(204,plain,
! [SV13: $i] :
( ( ( ~ ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) ) )
= $true )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV11: mworld] :
( ( ( ~ ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(206,plain,
! [SV11: mworld] :
( ( ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(207,plain,
! [SV11: mworld,SV16: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(208,plain,
! [SV12: mworld] :
( ( ( ~ ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(209,plain,
! [SV12: mworld] :
( ( ( ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(210,plain,
! [SV12: mworld,SV17: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(211,plain,
! [SV10: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK19_SX0 @ SV10 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(212,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
| ~ ! [SY69: $i] :
~ ~ ( ~ ( eiw_di @ SY69 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY71: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY71 )
| ( big_q @ SY69 @ SY71 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(213,plain,
! [SV10: $i] :
( ( ( mrel @ mactual @ ( sK16_SX0 @ SV10 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(214,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) )
| ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(215,plain,
! [SV10: $i] :
( ( ( ~ ! [SY53: $i] :
~ ~ ( ~ ( eiw_di @ SY53 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY55 )
| ( big_q @ SY53 @ SY55 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(216,plain,
! [SV8: $i] :
( ( ( mrel @ mactual @ ( sK17_SX0 @ SV8 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(217,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) )
| ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(218,plain,
! [SV8: $i] :
( ( ( ~ ! [SY59: $i] :
~ ~ ( ~ ( eiw_di @ SY59 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY61 )
| ( big_q @ SY59 @ SY61 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(219,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) )
| ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(220,plain,
! [SV8: $i] :
( ( ( ! [SY47: $i] :
~ ~ ( ~ ( eiw_di @ SY47 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY49: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY49 )
| ( big_q @ SY47 @ SY49 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(221,plain,
! [SV7: $i] :
( ( ( mrel @ sK3_SX0 @ ( sK18_SY19 @ SV7 ) )
= $true )
| ( ( mrel @ sK3_SX0 @ ( sK9_SY14 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ sK3_SX0 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(222,plain,
( ( ( eiw_di @ sK13_SY22 @ sK6_SX0 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(223,plain,
( ( ( ! [SY43: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY43 )
| ( big_q @ sK13_SY22 @ SY43 ) ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(224,plain,
! [SV13: $i] :
( ( ( ! [SY25: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY25 )
| ( p @ SY25 ) ) )
= $false )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(225,plain,
! [SV11: mworld] :
( ( ( ! [SY31: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY31 )
| ( p @ SY31 ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(226,plain,
! [SV11: mworld] :
( ( ( ~ ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(227,plain,
! [SV11: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
| ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(228,plain,
! [SV12: mworld] :
( ( ( ! [SY37: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY37 )
| ( p @ SY37 ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(229,plain,
! [SV12: mworld] :
( ( ( ~ ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(230,plain,
! [SV12: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
| ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(231,plain,
! [SV10: $i] :
( ( ( mrel @ mactual @ ( sK19_SX0 @ SV10 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(232,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(233,plain,
! [SV10: $i] :
( ( ( ~ ! [SY69: $i] :
~ ~ ( ~ ( eiw_di @ SY69 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY71: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY71 )
| ( big_q @ SY69 @ SY71 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(234,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) )
| ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(235,plain,
! [SV10: $i] :
( ( ( ! [SY53: $i] :
~ ~ ( ~ ( eiw_di @ SY53 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY55 )
| ( big_q @ SY53 @ SY55 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(236,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) )
| ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(237,plain,
! [SV8: $i] :
( ( ( ! [SY59: $i] :
~ ~ ( ~ ( eiw_di @ SY59 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY61 )
| ( big_q @ SY59 @ SY61 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(238,plain,
! [SV8: $i] :
( ( ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) )
| ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(239,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(240,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ sK6_SX0 @ SV19 )
| ( big_q @ sK13_SY22 @ SV19 ) )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(241,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
| ( p @ ( sK20_SY25 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(242,plain,
! [SV20: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SV20 )
| ( p @ SV20 ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(243,plain,
! [SV11: mworld] :
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( eiw_di @ SY32 @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY33 )
| ( big_q @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(244,plain,
! [SV11: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(245,plain,
! [SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SV21 )
| ( p @ SV21 ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(246,plain,
! [SV12: mworld] :
( ( ( ! [SY38: $i] :
~ ~ ( ~ ( eiw_di @ SY38 @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY39: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY39 )
| ( big_q @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(247,plain,
! [SV12: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(248,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(249,plain,
! [SV10: $i] :
( ( ( ! [SY69: $i] :
~ ~ ( ~ ( eiw_di @ SY69 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY71: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY71 )
| ( big_q @ SY69 @ SY71 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(250,plain,
! [SV10: $i] :
( ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) )
| ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(251,plain,
! [SV10: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(252,plain,
! [SV8: $i] :
( ( ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) )
| ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(253,plain,
! [SV8: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(254,plain,
! [SV8: $i] :
( ( ( ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(255,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(256,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(257,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ sK6_SX0 @ SV19 ) )
= $true )
| ( ( big_q @ sK13_SY22 @ SV19 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(258,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(259,plain,
! [SV13: $i] :
( ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(260,plain,
! [SV20: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SV20 ) )
= $true )
| ( ( p @ SV20 )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(261,plain,
! [SV11: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK21_SY32 @ SV11 ) @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY78: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY78 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SY78 ) ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(262,plain,
! [SV11: mworld,SV16: $i] :
( ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(263,plain,
! [SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SV21 ) )
= $true )
| ( ( p @ SV21 )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(264,plain,
! [SV12: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK22_SY38 @ SV12 ) @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY79 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SY79 ) ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[246]) ).
thf(265,plain,
! [SV12: mworld,SV17: $i] :
( ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(266,plain,
! [SV10: $i] :
( ( ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(267,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(268,plain,
! [SV10: $i] :
( ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(269,plain,
! [SV10: $i] :
( ( ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(270,plain,
! [SV10: $i,SV22: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(271,plain,
! [SV8: $i] :
( ( ( ~ ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(272,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(273,plain,
! [SV8: $i,SV23: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(274,plain,
! [SV8: $i] :
( ( ( ! [SY44: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY44 )
| ( p @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(275,plain,
! [SV8: $i] :
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(276,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(277,plain,
! [SV19: mworld] :
( ( ( mrel @ sK6_SX0 @ SV19 )
= $false )
| ( ( big_q @ sK13_SY22 @ SV19 )
= $true )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(278,plain,
! [SV13: $i] :
( ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( ~ ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(279,plain,
! [SV13: $i] :
( ( ( ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $false )
| ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(280,plain,
! [SV20: mworld,SV11: mworld] :
( ( ( mrel @ ( sK10_SX0 @ SV11 ) @ SV20 )
= $false )
| ( ( p @ SV20 )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(281,plain,
! [SV11: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK21_SY32 @ SV11 ) @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY78: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY78 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SY78 ) ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(282,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(283,plain,
! [SV21: mworld,SV12: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV12 ) @ SV21 )
= $false )
| ( ( p @ SV21 )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(284,plain,
! [SV12: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK22_SY38 @ SV12 ) @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY79 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SY79 ) ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(285,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(286,plain,
! [SV10: $i] :
( ( ( ~ ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(287,plain,
! [SV10: $i] :
( ( ( ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(288,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(289,plain,
! [SV10: $i] :
( ( ( ! [SY50: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY50 )
| ( p @ SY50 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(290,plain,
! [SV10: $i] :
( ( ( ~ ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(291,plain,
! [SV10: $i,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(292,plain,
! [SV8: $i] :
( ( ( ! [SY56: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY56 )
| ( p @ SY56 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(293,plain,
! [SV8: $i] :
( ( ( ~ ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(294,plain,
! [SV8: $i,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
| ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(295,plain,
! [SV25: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SV25 )
| ( p @ SV25 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(296,plain,
! [SV8: $i] :
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( eiw_di @ SY45 @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY46: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY46 )
| ( big_q @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(297,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(298,plain,
! [SV13: $i] :
( ( ( ! [SY30: mworld] :
( ~ ( mrel @ sK6_SX0 @ SY30 )
| ( big_q @ SV13 @ SY30 ) ) )
= $false )
| ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(299,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK23_SY30 @ SV13 ) )
| ( big_q @ SV13 @ ( sK23_SY30 @ SV13 ) ) )
= $false )
| ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[279]) ).
thf(300,plain,
! [SV11: mworld] :
( ( ( ~ ( eiw_di @ ( sK21_SY32 @ SV11 ) @ ( sK10_SX0 @ SV11 ) )
| ~ ! [SY78: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY78 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SY78 ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(301,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) )
| ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(302,plain,
! [SV12: mworld] :
( ( ( ~ ( eiw_di @ ( sK22_SY38 @ SV12 ) @ ( sK11_SX0 @ SV12 ) )
| ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY79 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SY79 ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(303,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) )
| ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(304,plain,
! [SV10: $i] :
( ( ( ! [SY66: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY66 )
| ( p @ SY66 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(305,plain,
! [SV10: $i] :
( ( ( ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(306,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
| ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(307,plain,
! [SV26: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SV26 )
| ( p @ SV26 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(308,plain,
! [SV10: $i] :
( ( ( ! [SY51: $i] :
~ ~ ( ~ ( eiw_di @ SY51 @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY52 )
| ( big_q @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(309,plain,
! [SV10: $i,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(310,plain,
! [SV27: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SV27 )
| ( p @ SV27 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(311,plain,
! [SV8: $i] :
( ( ( ! [SY57: $i] :
~ ~ ( ~ ( eiw_di @ SY57 @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY58 )
| ( big_q @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(312,plain,
! [SV8: $i,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(313,plain,
! [SV25: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SV25 ) )
= $true )
| ( ( p @ SV25 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(314,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK24_SY45 @ SV8 ) @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY82 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SY82 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(315,plain,
! [SV8: $i,SV18: $i] :
( ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(316,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK25_SY30 @ SV13 ) )
| ( big_q @ SV13 @ ( sK25_SY30 @ SV13 ) ) )
= $false )
| ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[298]) ).
thf(317,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK23_SY30 @ SV13 ) ) )
= $false )
| ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(318,plain,
! [SV13: $i] :
( ( ( big_q @ SV13 @ ( sK23_SY30 @ SV13 ) )
= $false )
| ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(319,plain,
! [SV11: mworld] :
( ( ( ~ ( eiw_di @ ( sK21_SY32 @ SV11 ) @ ( sK10_SX0 @ SV11 ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(320,plain,
! [SV11: mworld] :
( ( ( ~ ! [SY78: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY78 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SY78 ) ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(321,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) ) )
= $true )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(322,plain,
! [SV12: mworld] :
( ( ( ~ ( eiw_di @ ( sK22_SY38 @ SV12 ) @ ( sK11_SX0 @ SV12 ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(323,plain,
! [SV12: mworld] :
( ( ( ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY79 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SY79 ) ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(324,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) ) )
= $true )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(325,plain,
! [SV28: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SV28 )
| ( p @ SV28 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(326,plain,
! [SV10: $i] :
( ( ( ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY68 )
| ( big_q @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(327,plain,
! [SV10: $i,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(328,plain,
! [SV26: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SV26 ) )
= $true )
| ( ( p @ SV26 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(329,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK26_SY51 @ SV10 ) @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY83 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SY83 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(330,plain,
! [SV10: $i,SV22: $i] :
( ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(331,plain,
! [SV27: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SV27 ) )
= $true )
| ( ( p @ SV27 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(332,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK27_SY57 @ SV8 ) @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY84 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SY84 ) ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[311]) ).
thf(333,plain,
! [SV8: $i,SV23: $i] :
( ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(334,plain,
! [SV25: mworld,SV8: $i] :
( ( ( mrel @ ( sK14_SX0 @ SV8 ) @ SV25 )
= $false )
| ( ( p @ SV25 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(335,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK24_SY45 @ SV8 ) @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY82 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SY82 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(336,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(337,plain,
! [SV13: $i] :
( ( ( ~ ( mrel @ sK6_SX0 @ ( sK25_SY30 @ SV13 ) ) )
= $false )
| ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(338,plain,
! [SV13: $i] :
( ( ( big_q @ SV13 @ ( sK25_SY30 @ SV13 ) )
= $false )
| ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(339,plain,
! [SV13: $i] :
( ( ( mrel @ sK6_SX0 @ ( sK23_SY30 @ SV13 ) )
= $true )
| ( ( p @ ( sK20_SY25 @ SV13 ) )
= $false )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(340,plain,
! [SV11: mworld] :
( ( ( eiw_di @ ( sK21_SY32 @ SV11 ) @ ( sK10_SX0 @ SV11 ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(341,plain,
! [SV11: mworld] :
( ( ( ! [SY78: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY78 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SY78 ) ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(342,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ! [SY35: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY35 )
| ( p @ SY35 ) ) )
= $false )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(343,plain,
! [SV12: mworld] :
( ( ( eiw_di @ ( sK22_SY38 @ SV12 ) @ ( sK11_SX0 @ SV12 ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(344,plain,
! [SV12: mworld] :
( ( ( ! [SY79: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY79 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SY79 ) ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(345,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ! [SY41: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY41 )
| ( p @ SY41 ) ) )
= $false )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(346,plain,
! [SV28: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SV28 ) )
= $true )
| ( ( p @ SV28 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(347,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK28_SY67 @ SV10 ) @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY85 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SY85 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[326]) ).
thf(348,plain,
! [SV10: $i,SV24: $i] :
( ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(349,plain,
! [SV26: mworld,SV10: $i] :
( ( ( mrel @ ( sK16_SX0 @ SV10 ) @ SV26 )
= $false )
| ( ( p @ SV26 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(350,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK26_SY51 @ SV10 ) @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY83 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SY83 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(351,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(352,plain,
! [SV27: mworld,SV8: $i] :
( ( ( mrel @ ( sK17_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( p @ SV27 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(353,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK27_SY57 @ SV8 ) @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY84 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SY84 ) ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(354,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(355,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK24_SY45 @ SV8 ) @ ( sK14_SX0 @ SV8 ) )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY82 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SY82 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(356,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) )
| ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(357,plain,
! [SV13: $i] :
( ( ( mrel @ sK6_SX0 @ ( sK25_SY30 @ SV13 ) )
= $true )
| ( ( mrel @ sK6_SX0 @ ( sK20_SY25 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV13 @ sK6_SX0 )
= $false )
| ( ( eiw_di @ sK4_SY4 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(358,plain,
! [SV29: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SV29 )
| ( big_q @ ( sK21_SY32 @ SV11 ) @ SV29 ) )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(359,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
| ( p @ ( sK29_SY35 @ SV16 @ SV11 ) ) )
= $false )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(360,plain,
! [SV30: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SV30 )
| ( big_q @ ( sK22_SY38 @ SV12 ) @ SV30 ) )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(361,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
| ( p @ ( sK30_SY41 @ SV17 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(362,plain,
! [SV28: mworld,SV10: $i] :
( ( ( mrel @ ( sK19_SX0 @ SV10 ) @ SV28 )
= $false )
| ( ( p @ SV28 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(363,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK28_SY67 @ SV10 ) @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY85 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SY85 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(364,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(365,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ ( sK26_SY51 @ SV10 ) @ ( sK16_SX0 @ SV10 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY83 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SY83 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(366,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(367,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK27_SY57 @ SV8 ) @ ( sK17_SX0 @ SV8 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY84 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SY84 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(368,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) )
| ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(369,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK24_SY45 @ SV8 ) @ ( sK14_SX0 @ SV8 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(370,plain,
! [SV8: $i] :
( ( ( ~ ! [SY82: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY82 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SY82 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(371,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) ) )
= $true )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(372,plain,
! [SV29: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SV29 ) )
= $true )
| ( ( big_q @ ( sK21_SY32 @ SV11 ) @ SV29 )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(373,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) ) )
= $false )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(374,plain,
! [SV11: mworld,SV16: $i] :
( ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(375,plain,
! [SV30: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SV30 ) )
= $true )
| ( ( big_q @ ( sK22_SY38 @ SV12 ) @ SV30 )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(376,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(377,plain,
! [SV12: mworld,SV17: $i] :
( ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(378,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ ( sK28_SY67 @ SV10 ) @ ( sK19_SX0 @ SV10 ) )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY85 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SY85 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(379,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) )
| ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(380,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ ( sK26_SY51 @ SV10 ) @ ( sK16_SX0 @ SV10 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(381,plain,
! [SV10: $i] :
( ( ( ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY83 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SY83 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(382,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) ) )
= $true )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(383,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK27_SY57 @ SV8 ) @ ( sK17_SX0 @ SV8 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(384,plain,
! [SV8: $i] :
( ( ( ~ ! [SY84: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY84 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SY84 ) ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(385,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) ) )
= $true )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(386,plain,
! [SV8: $i] :
( ( ( eiw_di @ ( sK24_SY45 @ SV8 ) @ ( sK14_SX0 @ SV8 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(387,plain,
! [SV8: $i] :
( ( ( ! [SY82: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY82 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SY82 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(388,plain,
! [SV18: $i,SV8: $i] :
( ( ( ! [SY48: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY48 )
| ( p @ SY48 ) ) )
= $false )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(389,plain,
! [SV29: mworld,SV11: mworld] :
( ( ( mrel @ ( sK10_SX0 @ SV11 ) @ SV29 )
= $false )
| ( ( big_q @ ( sK21_SY32 @ SV11 ) @ SV29 )
= $true )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(390,plain,
! [SV16: $i,SV11: mworld] :
( ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( ~ ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(391,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $false )
| ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(392,plain,
! [SV30: mworld,SV12: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV12 ) @ SV30 )
= $false )
| ( ( big_q @ ( sK22_SY38 @ SV12 ) @ SV30 )
= $true )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(393,plain,
! [SV17: $i,SV12: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( ~ ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(394,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $false )
| ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(395,plain,
! [SV10: $i] :
( ( ( ~ ( eiw_di @ ( sK28_SY67 @ SV10 ) @ ( sK19_SX0 @ SV10 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(396,plain,
! [SV10: $i] :
( ( ( ~ ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY85 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SY85 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(397,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) ) )
= $true )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(398,plain,
! [SV10: $i] :
( ( ( eiw_di @ ( sK26_SY51 @ SV10 ) @ ( sK16_SX0 @ SV10 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(399,plain,
! [SV10: $i] :
( ( ( ! [SY83: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY83 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SY83 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(400,plain,
! [SV22: $i,SV10: $i] :
( ( ( ! [SY54: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY54 )
| ( p @ SY54 ) ) )
= $false )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(401,plain,
! [SV8: $i] :
( ( ( eiw_di @ ( sK27_SY57 @ SV8 ) @ ( sK17_SX0 @ SV8 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(402,plain,
! [SV8: $i] :
( ( ( ! [SY84: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY84 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SY84 ) ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(403,plain,
! [SV23: $i,SV8: $i] :
( ( ( ! [SY60: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY60 )
| ( p @ SY60 ) ) )
= $false )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(404,plain,
! [SV31: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SV31 )
| ( big_q @ ( sK24_SY45 @ SV8 ) @ SV31 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(405,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
| ( p @ ( sK31_SY48 @ SV18 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(406,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ! [SY63: mworld] :
( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ SY63 )
| ( big_q @ SV16 @ SY63 ) ) )
= $false )
| ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(407,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK32_SY63 @ SV16 @ SV11 ) )
| ( big_q @ SV16 @ ( sK32_SY63 @ SV16 @ SV11 ) ) )
= $false )
| ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[391]) ).
thf(408,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ! [SY65: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ SY65 )
| ( big_q @ SV17 @ SY65 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(409,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK33_SY65 @ SV17 @ SV12 ) )
| ( big_q @ SV17 @ ( sK33_SY65 @ SV17 @ SV12 ) ) )
= $false )
| ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(410,plain,
! [SV10: $i] :
( ( ( eiw_di @ ( sK28_SY67 @ SV10 ) @ ( sK19_SX0 @ SV10 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(411,plain,
! [SV10: $i] :
( ( ( ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY85 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SY85 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(412,plain,
! [SV24: $i,SV10: $i] :
( ( ( ! [SY70: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY70 )
| ( p @ SY70 ) ) )
= $false )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(413,plain,
! [SV32: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SV32 )
| ( big_q @ ( sK26_SY51 @ SV10 ) @ SV32 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(414,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
| ( p @ ( sK34_SY54 @ SV22 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(415,plain,
! [SV33: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SV33 )
| ( big_q @ ( sK27_SY57 @ SV8 ) @ SV33 ) )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(416,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
| ( p @ ( sK35_SY60 @ SV23 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[403]) ).
thf(417,plain,
! [SV31: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SV31 ) )
= $true )
| ( ( big_q @ ( sK24_SY45 @ SV8 ) @ SV31 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(418,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(419,plain,
! [SV8: $i,SV18: $i] :
( ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(420,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK36_SY63 @ SV16 @ SV11 ) )
| ( big_q @ SV16 @ ( sK36_SY63 @ SV16 @ SV11 ) ) )
= $false )
| ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[406]) ).
thf(421,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK32_SY63 @ SV16 @ SV11 ) ) )
= $false )
| ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(422,plain,
! [SV11: mworld,SV16: $i] :
( ( ( big_q @ SV16 @ ( sK32_SY63 @ SV16 @ SV11 ) )
= $false )
| ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(423,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK37_SY65 @ SV17 @ SV12 ) )
| ( big_q @ SV17 @ ( sK37_SY65 @ SV17 @ SV12 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(424,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK33_SY65 @ SV17 @ SV12 ) ) )
= $false )
| ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(425,plain,
! [SV12: mworld,SV17: $i] :
( ( ( big_q @ SV17 @ ( sK33_SY65 @ SV17 @ SV12 ) )
= $false )
| ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(426,plain,
! [SV34: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SV34 )
| ( big_q @ ( sK28_SY67 @ SV10 ) @ SV34 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(427,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
| ( p @ ( sK38_SY70 @ SV24 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(428,plain,
! [SV32: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SV32 ) )
= $true )
| ( ( big_q @ ( sK26_SY51 @ SV10 ) @ SV32 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(429,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(430,plain,
! [SV10: $i,SV22: $i] :
( ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(431,plain,
! [SV33: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SV33 ) )
= $true )
| ( ( big_q @ ( sK27_SY57 @ SV8 ) @ SV33 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(432,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(433,plain,
! [SV8: $i,SV23: $i] :
( ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(434,plain,
! [SV31: mworld,SV8: $i] :
( ( ( mrel @ ( sK14_SX0 @ SV8 ) @ SV31 )
= $false )
| ( ( big_q @ ( sK24_SY45 @ SV8 ) @ SV31 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(435,plain,
! [SV18: $i,SV8: $i] :
( ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( ~ ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(436,plain,
! [SV18: $i,SV8: $i] :
( ( ( ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $false )
| ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(437,plain,
! [SV16: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK36_SY63 @ SV16 @ SV11 ) ) )
= $false )
| ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(438,plain,
! [SV11: mworld,SV16: $i] :
( ( ( big_q @ SV16 @ ( sK36_SY63 @ SV16 @ SV11 ) )
= $false )
| ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(439,plain,
! [SV16: $i,SV11: mworld] :
( ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK32_SY63 @ SV16 @ SV11 ) )
= $true )
| ( ( p @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $false )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(440,plain,
! [SV17: $i,SV12: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK37_SY65 @ SV17 @ SV12 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(441,plain,
! [SV12: mworld,SV17: $i] :
( ( ( big_q @ SV17 @ ( sK37_SY65 @ SV17 @ SV12 ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(442,plain,
! [SV17: $i,SV12: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK33_SY65 @ SV17 @ SV12 ) )
= $true )
| ( ( p @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $false )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(443,plain,
! [SV34: mworld,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SV34 ) )
= $true )
| ( ( big_q @ ( sK28_SY67 @ SV10 ) @ SV34 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(444,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(445,plain,
! [SV10: $i,SV24: $i] :
( ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(446,plain,
! [SV32: mworld,SV10: $i] :
( ( ( mrel @ ( sK16_SX0 @ SV10 ) @ SV32 )
= $false )
| ( ( big_q @ ( sK26_SY51 @ SV10 ) @ SV32 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV22: $i,SV10: $i] :
( ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( ~ ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(448,plain,
! [SV22: $i,SV10: $i] :
( ( ( ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $false )
| ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(449,plain,
! [SV33: mworld,SV8: $i] :
( ( ( mrel @ ( sK17_SX0 @ SV8 ) @ SV33 )
= $false )
| ( ( big_q @ ( sK27_SY57 @ SV8 ) @ SV33 )
= $true )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(450,plain,
! [SV23: $i,SV8: $i] :
( ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( ~ ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(451,plain,
! [SV23: $i,SV8: $i] :
( ( ( ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $false )
| ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(452,plain,
! [SV18: $i,SV8: $i] :
( ( ( ! [SY73: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ SY73 )
| ( big_q @ SV18 @ SY73 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(453,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK39_SY73 @ SV18 @ SV8 ) )
| ( big_q @ SV18 @ ( sK39_SY73 @ SV18 @ SV8 ) ) )
= $false )
| ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[436]) ).
thf(454,plain,
! [SV16: $i,SV11: mworld] :
( ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK36_SY63 @ SV16 @ SV11 ) )
= $true )
| ( ( mrel @ ( sK10_SX0 @ SV11 ) @ ( sK29_SY35 @ SV16 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV16 @ ( sK10_SX0 @ SV11 ) )
= $false )
| ( ( p @ SV11 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(455,plain,
! [SV17: $i,SV12: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK37_SY65 @ SV17 @ SV12 ) )
= $true )
| ( ( mrel @ ( sK11_SX0 @ SV12 ) @ ( sK30_SY41 @ SV17 @ SV12 ) )
= $true )
| ( ( eiw_di @ SV17 @ ( sK11_SX0 @ SV12 ) )
= $false )
| ( ( big_q @ sK4_SY4 @ SV12 )
= $true )
| ( ( mrel @ sK2_SX0 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(456,plain,
! [SV34: mworld,SV10: $i] :
( ( ( mrel @ ( sK19_SX0 @ SV10 ) @ SV34 )
= $false )
| ( ( big_q @ ( sK28_SY67 @ SV10 ) @ SV34 )
= $true )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(457,plain,
! [SV24: $i,SV10: $i] :
( ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(458,plain,
! [SV24: $i,SV10: $i] :
( ( ( ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $false )
| ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(459,plain,
! [SV22: $i,SV10: $i] :
( ( ( ! [SY75: mworld] :
( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ SY75 )
| ( big_q @ SV22 @ SY75 ) ) )
= $false )
| ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(460,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK40_SY75 @ SV22 @ SV10 ) )
| ( big_q @ SV22 @ ( sK40_SY75 @ SV22 @ SV10 ) ) )
= $false )
| ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[448]) ).
thf(461,plain,
! [SV23: $i,SV8: $i] :
( ( ( ! [SY77: mworld] :
( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ SY77 )
| ( big_q @ SV23 @ SY77 ) ) )
= $false )
| ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(462,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK41_SY77 @ SV23 @ SV8 ) )
| ( big_q @ SV23 @ ( sK41_SY77 @ SV23 @ SV8 ) ) )
= $false )
| ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[451]) ).
thf(463,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK42_SY73 @ SV18 @ SV8 ) )
| ( big_q @ SV18 @ ( sK42_SY73 @ SV18 @ SV8 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(464,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK39_SY73 @ SV18 @ SV8 ) ) )
= $false )
| ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(465,plain,
! [SV8: $i,SV18: $i] :
( ( ( big_q @ SV18 @ ( sK39_SY73 @ SV18 @ SV8 ) )
= $false )
| ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(466,plain,
! [SV24: $i,SV10: $i] :
( ( ( ! [SY81: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ SY81 )
| ( big_q @ SV24 @ SY81 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(467,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK43_SY81 @ SV24 @ SV10 ) )
| ( big_q @ SV24 @ ( sK43_SY81 @ SV24 @ SV10 ) ) )
= $false )
| ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[458]) ).
thf(468,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK44_SY75 @ SV22 @ SV10 ) )
| ( big_q @ SV22 @ ( sK44_SY75 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[459]) ).
thf(469,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK40_SY75 @ SV22 @ SV10 ) ) )
= $false )
| ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(470,plain,
! [SV10: $i,SV22: $i] :
( ( ( big_q @ SV22 @ ( sK40_SY75 @ SV22 @ SV10 ) )
= $false )
| ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(471,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK45_SY77 @ SV23 @ SV8 ) )
| ( big_q @ SV23 @ ( sK45_SY77 @ SV23 @ SV8 ) ) )
= $false )
| ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[461]) ).
thf(472,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK41_SY77 @ SV23 @ SV8 ) ) )
= $false )
| ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(473,plain,
! [SV8: $i,SV23: $i] :
( ( ( big_q @ SV23 @ ( sK41_SY77 @ SV23 @ SV8 ) )
= $false )
| ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(474,plain,
! [SV18: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK42_SY73 @ SV18 @ SV8 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(475,plain,
! [SV8: $i,SV18: $i] :
( ( ( big_q @ SV18 @ ( sK42_SY73 @ SV18 @ SV8 ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(476,plain,
! [SV18: $i,SV8: $i] :
( ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK39_SY73 @ SV18 @ SV8 ) )
= $true )
| ( ( p @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(477,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK46_SY81 @ SV24 @ SV10 ) )
| ( big_q @ SV24 @ ( sK46_SY81 @ SV24 @ SV10 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[466]) ).
thf(478,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK43_SY81 @ SV24 @ SV10 ) ) )
= $false )
| ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(479,plain,
! [SV10: $i,SV24: $i] :
( ( ( big_q @ SV24 @ ( sK43_SY81 @ SV24 @ SV10 ) )
= $false )
| ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(480,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK44_SY75 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(481,plain,
! [SV10: $i,SV22: $i] :
( ( ( big_q @ SV22 @ ( sK44_SY75 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(482,plain,
! [SV22: $i,SV10: $i] :
( ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK40_SY75 @ SV22 @ SV10 ) )
= $true )
| ( ( p @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(483,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK45_SY77 @ SV23 @ SV8 ) ) )
= $false )
| ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(484,plain,
! [SV8: $i,SV23: $i] :
( ( ( big_q @ SV23 @ ( sK45_SY77 @ SV23 @ SV8 ) )
= $false )
| ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(485,plain,
! [SV23: $i,SV8: $i] :
( ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK41_SY77 @ SV23 @ SV8 ) )
= $true )
| ( ( p @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $false )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(486,plain,
! [SV18: $i,SV8: $i] :
( ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK42_SY73 @ SV18 @ SV8 ) )
= $true )
| ( ( mrel @ ( sK14_SX0 @ SV8 ) @ ( sK31_SY48 @ SV18 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV18 @ ( sK14_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV8 @ ( sK8_SY20 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(487,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK46_SY81 @ SV24 @ SV10 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(488,plain,
! [SV10: $i,SV24: $i] :
( ( ( big_q @ SV24 @ ( sK46_SY81 @ SV24 @ SV10 ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(489,plain,
! [SV24: $i,SV10: $i] :
( ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK43_SY81 @ SV24 @ SV10 ) )
= $true )
| ( ( p @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $false )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(490,plain,
! [SV22: $i,SV10: $i] :
( ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK44_SY75 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ ( sK16_SX0 @ SV10 ) @ ( sK34_SY54 @ SV22 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV22 @ ( sK16_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( big_q @ SV10 @ ( sK12_SY27 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(491,plain,
! [SV23: $i,SV8: $i] :
( ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK45_SY77 @ SV23 @ SV8 ) )
= $true )
| ( ( mrel @ ( sK17_SX0 @ SV8 ) @ ( sK35_SY60 @ SV23 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV23 @ ( sK17_SX0 @ SV8 ) )
= $false )
| ( ( p @ sK5_SY7 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY20 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(492,plain,
! [SV24: $i,SV10: $i] :
( ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK46_SY81 @ SV24 @ SV10 ) )
= $true )
| ( ( mrel @ ( sK19_SX0 @ SV10 ) @ ( sK38_SY70 @ SV24 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV24 @ ( sK19_SX0 @ SV10 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ sK5_SY7 )
= $true )
| ( ( eiw_di @ SV10 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK12_SY27 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(493,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,492,491,490,489,488,486,485,484,482,481,479,476,475,473,470,465,456,455,454,449,446,442,441,439,438,434,425,422,410,401,398,392,389,386,362,357,352,349,343,340,339,338,334,318,283,280,277,231,222,221,216,213,201,200,196,184,170,161,158,152,118,94,91,44,30,18]) ).
thf(494,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL956^18 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 15:25:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 3
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 1623
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)...............................
% 0.19/0.57
% 0.19/0.57 ********************************
% 0.19/0.57 * All subproblems solved! *
% 0.19/0.57 ********************************
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:493,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.71
% 0.45/0.71 %**** Beginning of derivation protocol ****
% 0.45/0.71 % SZS output start CNFRefutation
% See solution above
% 0.45/0.71
% 0.45/0.71 %**** End of derivation protocol ****
% 0.45/0.71 %**** no. of clauses in derivation: 494 ****
% 0.45/0.71 %**** clause counter: 493 ****
% 0.45/0.71
% 0.45/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:493,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------