%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV293^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:53 AM UTC 2026
% Result : Theorem 96.40s 16.32s
% Output : CNFRefutation 96.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 4
% Syntax : Number of formulae : 862 ( 22 unt; 0 typ; 3 def)
% Number of atoms : 9113 (4470 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 7195 (2502 ~;2243 |; 10 &;2440 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 26 con; 0-2 aty)
% Number of variables : 1543 ( 394 ^;1133 !; 16 ?;1543 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cONE,type,
cONE: ( $i > $o ) > $o ).
thf(tp_cSUCC,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(tp_cZERO,type,
cZERO: ( $i > $o ) > $o ).
thf(tp_sK10_E,type,
sK10_E: $i > $o ).
thf(tp_sK11_E,type,
sK11_E: $i ).
thf(tp_sK12_E,type,
sK12_E: $i ).
thf(tp_sK13_E,type,
sK13_E: $i > $i > $i ).
thf(tp_sK14_E,type,
sK14_E: $i > $i > $i ).
thf(tp_sK15_SY32,type,
sK15_SY32: $i ).
thf(tp_sK16_SY20,type,
sK16_SY20: $i ).
thf(tp_sK17_SY32,type,
sK17_SY32: $i ).
thf(tp_sK18_SY30,type,
sK18_SY30: $i ).
thf(tp_sK19_SY22,type,
sK19_SY22: $i ).
thf(tp_sK1_SV1,type,
sK1_SV1: $i > $o ).
thf(tp_sK20_SY35,type,
sK20_SY35: $i ).
thf(tp_sK21_SY37,type,
sK21_SY37: $i ).
thf(tp_sK22_SY30,type,
sK22_SY30: $i ).
thf(tp_sK23_SY35,type,
sK23_SY35: $i ).
thf(tp_sK24_SY37,type,
sK24_SY37: $i ).
thf(tp_sK25_SY39,type,
sK25_SY39: $i > $i ).
thf(tp_sK26_SY41,type,
sK26_SY41: $i > $i ).
thf(tp_sK27_SY42,type,
sK27_SY42: $i > $i ).
thf(tp_sK28_SV42,type,
sK28_SV42: $i ).
thf(tp_sK29_SV43,type,
sK29_SV43: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_sK30_SV44,type,
sK30_SV44: $i ).
thf(tp_sK31_SV46,type,
sK31_SV46: $i ).
thf(tp_sK32_SY30,type,
sK32_SY30: $i > $i ).
thf(tp_sK33_SV49,type,
sK33_SV49: $i ).
thf(tp_sK34_SY22,type,
sK34_SY22: $i > $i ).
thf(tp_sK35_SV52,type,
sK35_SV52: $i ).
thf(tp_sK36_SV56,type,
sK36_SV56: $i ).
thf(tp_sK37_SV59,type,
sK37_SV59: $i ).
thf(tp_sK38_SY30,type,
sK38_SY30: $i > $i ).
thf(tp_sK39_SV61,type,
sK39_SV61: $i > $i > $i ).
thf(tp_sK3_SY22,type,
sK3_SY22: $i ).
thf(tp_sK40_SV63,type,
sK40_SV63: $i > $i > $i ).
thf(tp_sK41_SV67,type,
sK41_SV67: $i > $i > $i ).
thf(tp_sK42_SV69,type,
sK42_SV69: $i > $i > $i ).
thf(tp_sK43_SV70,type,
sK43_SV70: $i > $i > $i ).
thf(tp_sK44_SV73,type,
sK44_SV73: $i > $i > $i ).
thf(tp_sK4_SY25,type,
sK4_SY25: $i > $i ).
thf(tp_sK5_SY22,type,
sK5_SY22: $i > $i ).
thf(tp_sK6_SV10,type,
sK6_SV10: $i > $i > $i ).
thf(tp_sK7_SV11,type,
sK7_SV11: $i > $i > $i ).
thf(tp_sK8_SV16,type,
sK8_SV16: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(cONE,definition,
( cONE
= ( cSUCC @ cZERO ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cONE_def) ).
thf(cSUCC,definition,
( cSUCC
= ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
? [Xx: $i] :
( ( Xp @ Xx )
& ( Xn
@ ^ [Xt: $i] :
( ( Xt != Xx )
& ( Xp @ Xt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSUCC_def) ).
thf(cZERO,definition,
( cZERO
= ( ^ [Xp: $i > $o] :
~ ? [Xx: $i] : ( Xp @ Xx ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cZERO_def) ).
thf(1,conjecture,
( cONE
= ( ^ [P: $i > $o] :
? [Xy: $i] :
( P
= ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
@ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6101_pme) ).
thf(2,negated_conjecture,
( ( cONE
= ( ^ [P: $i > $o] :
? [Xy: $i] :
( P
= ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
@ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( ( SY3 @ SY4 )
& ~ ? [SY6: $i] :
( ( SY6 != SY4 )
& ( SY3 @ SY6 ) ) ) )
= ( ^ [SY0: $i > $o] :
? [SY1: $i] :
( SY0
= ( ^ [SY2: $i] : ( SY1 = SY2 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cONE,cSUCC,cZERO]) ).
thf(4,plain,
( ( ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( ( SY3 @ SY4 )
& ~ ? [SY6: $i] :
( ( SY6 != SY4 )
& ( SY3 @ SY6 ) ) ) )
!= ( ^ [SY0: $i > $o] :
? [SY1: $i] :
( SY0
= ( ^ [SY2: $i] : ( SY1 = SY2 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( ( SY3 @ SY4 )
& ~ ? [SY6: $i] :
( ( SY6 != SY4 )
& ( SY3 @ SY6 ) ) ) )
!= ( ^ [SY0: $i > $o] :
? [SY1: $i] :
( SY0
= ( ^ [SY2: $i] : ( SY1 = SY2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( ( SY3 @ SY4 )
& ~ ? [SY6: $i] :
( ( SY6 != SY4 )
& ( SY3 @ SY6 ) ) ) )
!= ( ^ [SY0: $i > $o] :
? [SY1: $i] :
( SY0
= ( ^ [SY2: $i] : ( SY1 = SY2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( ( SX2 != SX1 ) )
| ~ ( SX0 @ SX2 ) ) ) )
!= ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
( SX0
!= ( ^ [SX2: $i] : ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,cONE,cSUCC,cZERO]) ).
thf(8,plain,
( ( ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( ( SX2 != SX1 ) )
| ~ ( SX0 @ SX2 ) ) ) )
= ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
( SX0
!= ( ^ [SX2: $i] : ( SX1 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SV1: $i > $o] :
( ( ~ ! [SY16: $i] :
~ ~ ( ~ ( SV1 @ SY16 )
| ~ ~ ~ ! [SY17: $i] :
~ ~ ( ~ ( ( SY17 != SY16 ) )
| ~ ( SV1 @ SY17 ) ) ) )
= ( ~ ! [SY18: $i] :
( SV1
!= ( ^ [SX2: $i] : ( SY18 = SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( ( SX2 != SX1 ) )
| ~ ( SX0 @ SX2 ) ) ) )
= ( ^ [SX0: $i > $o] :
~ ! [SX1: $i] :
( SX0
!= ( ^ [SX2: $i] : ( SX1 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
| ~ ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) )
| ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK2_SY20 )
| ~ ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK2_SY20 )
| ~ ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV2 )
| ~ ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY20 )
| ~ ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ SV2 )
| ~ ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY20 ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i] :
( ( ( ~ ( sK1_SV1 @ SV2 )
| ~ ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( ~ ( sK1_SV1 @ SV2 ) )
= $true )
| ( ( ~ ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i] :
( ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $true )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ( sK1_SV1
!= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(38,plain,
( ( ( ! [SY24: $i] :
~ ~ ( ~ ( ( SY24 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SY24 ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SV3 ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ! [SV4: $i] :
( ( sK1_SV1 @ SV4 )
= ( sK3_SY22 = SV4 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( ( SV3 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( ! [SY25: $i] :
~ ~ ( ~ ( ( SY25 != SV2 ) )
| ~ ( sK1_SV1 @ SY25 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3 != sK2_SY20 ) )
| ~ ( sK1_SV1 @ SV3 ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK4_SY25 @ SV2 )
!= SV2 ) )
| ~ ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(50,plain,
! [SV5: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) )
| ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3 != sK2_SY20 ) ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV3 ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ( ( sK4_SY25 @ SV2 )
!= SV2 ) )
| ~ ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV3: $i] :
( ( ( SV3 != sK2_SY20 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV3 ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ( ( ( sK4_SY25 @ SV2 )
!= SV2 ) )
| ~ ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV3: $i] :
( ( ( SV3 = sK2_SY20 )
= $true )
| ( ( ~ ( sK1_SV1 @ SV3 ) )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV2: $i] :
( ( ( ~ ( ( ( sK4_SY25 @ SV2 )
!= SV2 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( sK3_SY22 = SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV3: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( ( sK4_SY25 @ SV2 )
!= SV2 )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV2: $i] :
( ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) )
= $false )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) )
= $false )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV3: $i] :
( ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV2: $i] :
( ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ~ ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV2: $i] :
( ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( sK3_SY22 != SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 ) )
= $false )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(75,plain,
! [SV3: $i] :
( ( ( sK1_SV1
!= ( ^ [SY27: $i] :
( ( sK5_SY22 @ SV3 )
= SY27 ) ) )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( ~ ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV2: $i] :
( ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(79,plain,
! [SV5: $i] :
( ( ( sK3_SY22 = SV5 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ SV5 )
= $true )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV3: $i] :
( ( ( sK1_SV1
= ( ^ [SY27: $i] :
( ( sK5_SY22 @ SV3 )
= SY27 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(83,plain,
! [SV2: $i] :
( ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV2: $i,SV6: $i] :
( ( ( sK1_SV1
!= ( ^ [SY28: $i] : ( SV6 = SY28 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV3: $i] :
( ( ( ! [SV7: $i] :
( ( sK1_SV1 @ SV7 )
= ( ( sK5_SY22 @ SV3 )
= SV7 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV3: $i] :
( ( ( sK1_SV1
= ( ^ [SY27: $i] :
( ( sK5_SY22 @ SV3 )
= SY27 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV2: $i,SV8: $i] :
( ( ( sK1_SV1
!= ( ^ [SY29: $i] : ( SV8 = SY29 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV2: $i,SV6: $i] :
( ( ( sK1_SV1
= ( ^ [SY28: $i] : ( SV6 = SY28 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV3: $i,SV9: $i] :
( ( ( ( sK1_SV1 @ SV9 )
= ( ( sK5_SY22 @ SV3 )
= SV9 ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV2: $i,SV8: $i] :
( ( ( sK1_SV1
= ( ^ [SY29: $i] : ( SV8 = SY29 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(91,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SV10: $i] :
( ( sK1_SV1 @ SV10 )
= ( SV6 = SV10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(92,plain,
! [SV2: $i,SV6: $i] :
( ( ( sK1_SV1
= ( ^ [SY28: $i] : ( SV6 = SY28 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
= SV9 ) )
| ~ ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV3: $i,SV9: $i] :
( ( ( ( sK1_SV1 @ SV9 )
= ( ( sK5_SY22 @ SV3 )
= SV9 ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SV11: $i] :
( ( sK1_SV1 @ SV11 )
= ( SV8 = SV11 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV2: $i,SV8: $i] :
( ( ( sK1_SV1
= ( ^ [SY29: $i] : ( SV8 = SY29 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(97,plain,
! [SV6: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
= ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(98,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
= SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV8: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
= ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(100,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) ) )
| ~ ( ~ ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
!= ( sK6_SV10 @ SV2 @ SV6 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[97]) ).
thf(101,plain,
! [SV6: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
= ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[97]) ).
thf(102,plain,
! [SV3: $i,SV9: $i] :
( ( ( ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
= SV9 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) ) )
| ~ ( ~ ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
!= ( sK7_SV11 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(104,plain,
! [SV8: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
= ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(105,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(106,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
!= ( sK6_SV10 @ SV2 @ SV6 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(107,plain,
! [SV3: $i,SV9: $i] :
( ( ( sK1_SV1 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(108,plain,
! [SV9: $i,SV3: $i] :
( ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(109,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
!= ( sK7_SV11 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(111,plain,
! [SV6: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(112,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
| ( SV6
!= ( sK6_SV10 @ SV2 @ SV6 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(113,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) )
= $false )
| ( ( sK1_SV1 @ SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( sK1_SV1 @ SV9 )
| ( ( sK5_SY22 @ SV3 )
!= SV9 ) )
= $false )
| ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV8: $i,SV2: $i] :
( ( ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(116,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
| ( SV8
!= ( sK7_SV11 @ SV2 @ SV8 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(117,plain,
! [SV6: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
= $true )
| ( ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) ) )
= $true )
| ( ( SV6
!= ( sK6_SV10 @ SV2 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV9: $i,SV3: $i] :
( ( ( ( sK5_SY22 @ SV3 )
!= SV9 )
= $false )
| ( ( sK1_SV1 @ SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( sK1_SV1 @ SV9 ) )
= $false )
| ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV8: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) ) )
= $true )
| ( ( SV8
!= ( sK7_SV11 @ SV2 @ SV8 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV6: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
= $false )
| ( ( SV6
!= ( sK6_SV10 @ SV2 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV9: $i,SV3: $i] :
( ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $true )
| ( ( sK1_SV1 @ SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(128,plain,
! [SV3: $i,SV9: $i] :
( ( ( sK1_SV1 @ SV9 )
= $true )
| ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(130,plain,
! [SV8: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8
!= ( sK7_SV11 @ SV2 @ SV8 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV2: $i,SV6: $i] :
( ( ( SV6
= ( sK6_SV10 @ SV2 @ SV6 ) )
= $false )
| ( ( sK1_SV1 @ ( sK6_SV10 @ SV2 @ SV6 ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV2: $i,SV8: $i] :
( ( ( SV8
= ( sK7_SV11 @ SV2 @ SV8 ) )
= $false )
| ( ( sK1_SV1 @ ( sK7_SV11 @ SV2 @ SV8 ) )
= $false )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( ( sK4_SY25 @ SV2 )
= SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(133,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= ( sK1_SV1 @ sK2_SY20 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[44]) ).
thf(134,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
= ( sK1_SV1 @ sK2_SY20 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[51]) ).
thf(135,plain,
! [SV12: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( ( sK1_SV1 @ SV12 )
= ( sK3_SY22 = SV12 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(136,plain,
! [SV3: $i,SV13: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( ( sK1_SV1 @ SV13 )
= ( ( sK5_SY22 @ SV3 )
= SV13 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(137,plain,
! [SV12: $i] :
( ( ( sK1_SV1 @ SV12 )
= $true )
| ( ( sK3_SY22 = SV12 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV12: $i] :
( ( ( sK1_SV1 @ SV12 )
= $false )
| ( ( sK3_SY22 = SV12 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $true )
| ( ( sK3_SY22 = SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(140,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK3_SY22 = SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(141,plain,
! [SV3: $i,SV13: $i] :
( ( ( sK1_SV1 @ SV13 )
= $true )
| ( ( ( sK5_SY22 @ SV3 )
= SV13 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV3: $i,SV13: $i] :
( ( ( sK1_SV1 @ SV13 )
= $false )
| ( ( ( sK5_SY22 @ SV3 )
= SV13 )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[136]) ).
thf(143,plain,
! [SV3: $i,SV9: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV9 )
= $true )
| ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[94]) ).
thf(144,plain,
! [SV3: $i,SV9: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV9 )
= $false )
| ( ( ( sK5_SY22 @ SV3 )
= SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[94]) ).
thf(145,plain,
( ( ( ~ ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
| ( sK1_SV1 @ sK2_SY20 ) )
| ~ ( ( sK1_SV1
!= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
| ~ ( sK1_SV1 @ sK2_SY20 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[133]) ).
thf(147,plain,
! [SV5: $i] :
( ( ( ~ ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
| ( sK1_SV1 @ sK2_SY20 ) )
| ~ ( ( ( sK1_SV1 @ SV5 )
!= ( sK3_SY22 = SV5 ) )
| ~ ( sK1_SV1 @ sK2_SY20 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[134]) ).
thf(149,plain,
( ( ( ~ ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
| ( sK1_SV1 @ sK2_SY20 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(151,plain,
! [SV5: $i] :
( ( ( ~ ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
| ( sK1_SV1 @ sK2_SY20 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(153,plain,
( ( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
| ( sK1_SV1 @ sK2_SY20 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(155,plain,
! [SV5: $i] :
( ( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
| ( sK1_SV1 @ sK2_SY20 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(157,plain,
( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(161,plain,
( ( ( ! [SV14: $i] :
( ( sK1_SV1 @ SV14 )
= ( sK3_SY22 = SV14 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[157]) ).
thf(162,plain,
( ( ( sK1_SV1
= ( ^ [SY26: $i] : ( sK3_SY22 = SY26 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[157]) ).
thf(164,plain,
! [SV5: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) )
| ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(165,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
= ( sK3_SY22 = SV5 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(167,plain,
! [SV15: $i] :
( ( ( ( sK1_SV1 @ SV15 )
= ( sK3_SY22 = SV15 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV5: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV15: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV15 )
| ( sK3_SY22 = SV15 ) )
| ~ ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[167]) ).
thf(174,plain,
! [SV15: $i] :
( ( ( ( sK1_SV1 @ SV15 )
= ( sK3_SY22 = SV15 ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[167]) ).
thf(177,plain,
! [SV5: $i] :
( ( ( ( sK1_SV1 @ SV5 )
| ( sK3_SY22 = SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV15: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV15 )
| ( sK3_SY22 = SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(184,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(185,plain,
! [SV5: $i] :
( ( ( sK3_SY22 = SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(188,plain,
! [SV15: $i] :
( ( ( ( sK1_SV1 @ SV15 )
| ( sK3_SY22 = SV15 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) )
= $false )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 )
| ( sK3_SY22 != SV5 ) )
= $false )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV15: $i] :
( ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(197,plain,
! [SV15: $i] :
( ( ( sK3_SY22 = SV15 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(201,plain,
! [SV5: $i] :
( ( ( sK3_SY22 != SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(202,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SV1 @ SV5 ) )
= $false )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(206,plain,
! [SV15: $i] :
( ( ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) )
= $false )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(207,plain,
! [SV15: $i] :
( ( ( ~ ( sK1_SV1 @ SV15 )
| ( sK3_SY22 != SV15 ) )
= $false )
| ( ( sK3_SY22 = SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(211,plain,
! [SV5: $i] :
( ( ( sK3_SY22 = SV5 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(212,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ SV5 )
= $true )
| ( ( sK3_SY22 = SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(216,plain,
! [SV15: $i] :
( ( ( sK3_SY22 != SV15 )
= $false )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(217,plain,
! [SV15: $i] :
( ( ( ~ ( sK1_SV1 @ SV15 ) )
= $false )
| ( ( sK3_SY22 = SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(223,plain,
! [SV15: $i] :
( ( ( sK3_SY22 = SV15 )
= $true )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(224,plain,
! [SV15: $i] :
( ( ( sK1_SV1 @ SV15 )
= $true )
| ( ( sK3_SY22 = SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(228,plain,
! [SV17: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( ( sK1_SV1 @ SV17 )
= ( sK3_SY22 = SV17 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(229,plain,
! [SV15: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV15 )
= $true )
| ( ( sK3_SY22 = SV15 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(230,plain,
! [SV15: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK3_SY22 = SV15 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(231,plain,
! [SV17: $i] :
( ( ( sK1_SV1 @ SV17 )
= $true )
| ( ( sK3_SY22 = SV17 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[228]) ).
thf(232,plain,
! [SV17: $i] :
( ( ( sK1_SV1 @ SV17 )
= $false )
| ( ( sK3_SY22 = SV17 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[228]) ).
thf(233,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $true )
| ( ( sK3_SY22 = SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(234,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK3_SY22 = SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(235,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(extuni,[status(esa)],[224:[bind(SV15,$thf( sK3_SY22 ))]]) ).
thf(237,plain,
( ( ( sK1_SV1 @ sK3_SY22 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[229:[bind(SV15,$thf( sK3_SY22 ))]]) ).
thf(238,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(extuni,[status(esa)],[231:[bind(SV17,$thf( sK3_SY22 ))]]) ).
thf(241,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(extuni,[status(esa)],[212:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(243,plain,
( ( ( sK1_SV1 @ sK3_SY22 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[233:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(245,plain,
( ( ( ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(246,plain,
( ( ( ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(247,plain,
( ( ( ~ ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(248,plain,
( ( ( ~ ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(249,plain,
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(250,plain,
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(251,plain,
( ( ( ~ ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(252,plain,
( ( ( ~ ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(253,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(254,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(255,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(256,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(257,plain,
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(258,plain,
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( sK1_SV1 @ SY20 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( ( SY21 != SY20 ) )
| ~ ( sK1_SV1 @ SY21 ) ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(259,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(extuni,[status(esa)],[137:[bind(SV12,$thf( sK3_SY22 ))]]) ).
thf(260,plain,
( ( ( sK1_SV1 @ sK3_SY22 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[139:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(261,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(extuni,[status(esa)],[80:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(263,plain,
! [SV3: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ ( sK5_SY22 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[141:[bind(SV13,$thf( sK5_SY22 @ SV3 ))]]) ).
thf(264,plain,
! [SV6: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK13_E @ SV2 @ SV6 ) )
= $true )
| ( ( SV6
= ( sK13_E @ SV2 @ SV6 ) )
= $true ) ),
inference(extuni,[status(esa)],[92]) ).
thf(265,plain,
! [SV6: $i,SV2: $i] :
( ( ( sK1_SV1 @ ( sK4_SY25 @ SV2 ) )
= $true )
| ( ( sK1_SV1 @ SV2 )
= $false )
| ( ( sK1_SV1 @ ( sK13_E @ SV2 @ SV6 ) )
= $false )
| ( ( SV6
= ( sK13_E @ SV2 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[92]) ).
thf(266,plain,
! [SV3: $i] :
( ( ( sK1_SV1 @ ( sK5_SY22 @ SV3 ) )
= $true )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV3 )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV9,$thf( sK5_SY22 @ SV3 ))]]) ).
thf(267,plain,
! [SV3: $i] :
( ( ( sK1_SV1 @ SV3 )
= $false )
| ( ( SV3 = sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ ( sK5_SY22 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[128:[bind(SV9,$thf( sK5_SY22 @ SV3 ))]]) ).
thf(269,plain,
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(270,plain,
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( sK10_E @ SY32 )
| ~ ~ ~ ! [SY33: $i] :
~ ~ ( ~ ( ( SY33 != SY32 ) )
| ~ ( sK10_E @ SY33 ) ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(271,plain,
( ( ( ~ ~ ( ~ ( sK10_E @ sK15_SY32 )
| ~ ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(272,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ( sK10_E @ SV18 )
| ~ ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(273,plain,
( ( ( ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(274,plain,
( ( ( ~ ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(275,plain,
( ( ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(276,plain,
( ( ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(277,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK16_SY20 )
| ~ ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[258]) ).
thf(278,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV19 )
| ~ ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(279,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(280,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(281,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(282,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(283,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( sK10_E @ SV20 )
| ~ ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(284,plain,
( ( ( ~ ~ ( ~ ( sK10_E @ sK17_SY32 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[270]) ).
thf(285,plain,
( ( ( ~ ( ~ ( sK10_E @ sK15_SY32 )
| ~ ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(286,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( sK10_E @ SV18 )
| ~ ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(287,plain,
( ( ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(288,plain,
( ( ( ~ ( sK10_E @ sK11_E )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(289,plain,
( ( ( ~ ( sK10_E @ sK11_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(290,plain,
( ( ( ~ ( sK10_E @ sK11_E ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(291,plain,
( ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(292,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK16_SY20 )
| ~ ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(293,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ SV19 )
| ~ ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(294,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(295,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E )
| ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(296,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(297,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(298,plain,
( ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(299,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( sK10_E @ SV20 )
| ~ ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(300,plain,
( ( ( ~ ( ~ ( sK10_E @ sK17_SY32 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(301,plain,
( ( ( ~ ( sK10_E @ sK15_SY32 )
| ~ ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(302,plain,
! [SV18: $i] :
( ( ( ~ ( sK10_E @ SV18 )
| ~ ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(303,plain,
( ( ( ~ ( sK10_E @ sK11_E ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(304,plain,
( ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(305,plain,
( ( ( ~ ( sK10_E @ sK11_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(306,plain,
( ( ( sK10_E @ sK11_E )
= $false )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(307,plain,
( ( ( sK10_E @ sK11_E )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(308,plain,
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(309,plain,
( ( ( ~ ( sK1_SV1 @ sK16_SY20 )
| ~ ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(310,plain,
! [SV19: $i] :
( ( ( ~ ( sK1_SV1 @ SV19 )
| ~ ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(311,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(312,plain,
( ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(313,plain,
( ( ( ~ ( sK1_SV1 @ sK12_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(314,plain,
( ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(315,plain,
( ( ( sK1_SV1 @ sK12_E )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(316,plain,
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(317,plain,
! [SV20: $i] :
( ( ( ~ ( sK10_E @ SV20 )
| ~ ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(318,plain,
( ( ( ~ ( sK10_E @ sK17_SY32 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(319,plain,
( ( ( ~ ( sK10_E @ sK15_SY32 ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(320,plain,
( ( ( ~ ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(321,plain,
! [SV18: $i] :
( ( ( ~ ( sK10_E @ SV18 ) )
= $true )
| ( ( ~ ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(322,plain,
( ( ( sK10_E @ sK11_E )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(323,plain,
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(324,plain,
( ( ( sK10_E @ sK11_E )
= $false )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(325,plain,
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(326,plain,
( ( ( ! [SV21: $i] :
( ( sK10_E @ SV21 )
= ( sK11_E = SV21 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[307]) ).
thf(327,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[307]) ).
thf(328,plain,
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(329,plain,
( ( ( ~ ( sK1_SV1 @ sK16_SY20 ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(330,plain,
( ( ( ~ ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(331,plain,
! [SV19: $i] :
( ( ( ~ ( sK1_SV1 @ SV19 ) )
= $true )
| ( ( ~ ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(332,plain,
( ( ( sK1_SV1 @ sK12_E )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(333,plain,
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(334,plain,
( ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( ~ ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(335,plain,
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(336,plain,
( ( ( ! [SV22: $i] :
( ( sK1_SV1 @ SV22 )
= ( sK12_E = SV22 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[315]) ).
thf(337,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[315]) ).
thf(338,plain,
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(339,plain,
! [SV20: $i] :
( ( ( ~ ( sK10_E @ SV20 ) )
= $true )
| ( ( ~ ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(340,plain,
( ( ( ~ ( sK10_E @ sK17_SY32 ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(341,plain,
( ( ( ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(342,plain,
( ( ( sK10_E @ sK15_SY32 )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(343,plain,
( ( ( ~ ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(344,plain,
! [SV18: $i] :
( ( ( sK10_E @ SV18 )
= $false )
| ( ( ~ ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(345,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(346,plain,
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(347,plain,
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(348,plain,
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(349,plain,
! [SV23: $i] :
( ( ( ( sK10_E @ SV23 )
= ( sK11_E = SV23 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(350,plain,
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(351,plain,
( ( ( sK1_SV1 @ sK16_SY20 )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(352,plain,
( ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(353,plain,
! [SV19: $i] :
( ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ~ ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(354,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(355,plain,
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(356,plain,
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(357,plain,
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(358,plain,
! [SV24: $i] :
( ( ( ( sK1_SV1 @ SV24 )
= ( sK12_E = SV24 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(359,plain,
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(360,plain,
! [SV20: $i] :
( ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(361,plain,
( ( ( sK10_E @ sK17_SY32 )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(362,plain,
( ( ( ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(363,plain,
( ( ( sK10_E
!= ( ^ [SY44: $i] : ( sK18_SY30 = SY44 ) ) )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(364,plain,
( ( ( ~ ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(365,plain,
! [SV18: $i] :
( ( ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(366,plain,
( ( ( ! [SV25: $i] :
( ( sK10_E @ SV25 )
= ( sK11_E = SV25 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(367,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(368,plain,
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(369,plain,
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(370,plain,
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(371,plain,
! [SV23: $i] :
( ( ( ~ ( ( sK10_E @ SV23 )
| ( sK11_E = SV23 ) )
| ~ ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(372,plain,
! [SV23: $i] :
( ( ( ( sK10_E @ SV23 )
= ( sK11_E = SV23 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(373,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ( ( SV26 != sK11_E ) )
| ~ ( sK10_E @ SV26 ) ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(374,plain,
( ( ( sK1_SV1
!= ( ^ [SY45: $i] : ( sK19_SY22 = SY45 ) ) )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[351]) ).
thf(375,plain,
( ( ( ~ ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(376,plain,
! [SV19: $i] :
( ( ( ~ ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(377,plain,
( ( ( ! [SV27: $i] :
( ( sK1_SV1 @ SV27 )
= ( sK12_E = SV27 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[354]) ).
thf(378,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[354]) ).
thf(379,plain,
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(380,plain,
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(381,plain,
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(382,plain,
! [SV24: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV24 )
| ( sK12_E = SV24 ) )
| ~ ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[358]) ).
thf(383,plain,
! [SV24: $i] :
( ( ( ( sK1_SV1 @ SV24 )
= ( sK12_E = SV24 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[358]) ).
thf(384,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ( ( SV28 != sK12_E ) )
| ~ ( sK1_SV1 @ SV28 ) ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(385,plain,
! [SV20: $i] :
( ( ( ~ ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(386,plain,
( ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(387,plain,
( ( ( ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(388,plain,
( ( ( sK10_E
= ( ^ [SY44: $i] : ( sK18_SY30 = SY44 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(389,plain,
( ( ( ! [SY38: $i] :
~ ~ ( ~ ( ( SY38 != sK15_SY32 ) )
| ~ ( sK10_E @ SY38 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(390,plain,
! [SV18: $i] :
( ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(391,plain,
! [SV29: $i] :
( ( ( ( sK10_E @ SV29 )
= ( sK11_E = SV29 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(392,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ ( ( SV30 != sK11_E ) )
| ~ ( sK10_E @ SV30 ) ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(393,plain,
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != sK11_E ) )
| ~ ( sK10_E @ SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(394,plain,
( ( ( ~ ~ ( ~ ( ( sK20_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK20_SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[370]) ).
thf(395,plain,
! [SV23: $i] :
( ( ( ~ ( ( sK10_E @ SV23 )
| ( sK11_E = SV23 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(396,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ( ( SV26 != sK11_E ) )
| ~ ( sK10_E @ SV26 ) ) )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(397,plain,
( ( ( sK1_SV1
= ( ^ [SY45: $i] : ( sK19_SY22 = SY45 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(398,plain,
( ( ( ! [SY40: $i] :
~ ~ ( ~ ( ( SY40 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SY40 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(399,plain,
! [SV19: $i] :
( ( ( ~ ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(400,plain,
! [SV31: $i] :
( ( ( ( sK1_SV1 @ SV31 )
= ( sK12_E = SV31 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(401,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( ( SV32 != sK12_E ) )
| ~ ( sK1_SV1 @ SV32 ) ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(402,plain,
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( ( SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(403,plain,
( ( ( ~ ~ ( ~ ( ( sK21_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK21_SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(404,plain,
! [SV24: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV24 )
| ( sK12_E = SV24 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(405,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ( ( SV28 != sK12_E ) )
| ~ ( sK1_SV1 @ SV28 ) ) )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(406,plain,
! [SV20: $i] :
( ( ( ~ ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(407,plain,
( ( ( sK10_E
!= ( ^ [SY46: $i] : ( sK22_SY30 = SY46 ) ) )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[386]) ).
thf(408,plain,
( ( ( ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != sK17_SY32 ) )
| ~ ( sK10_E @ SY43 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(409,plain,
( ( ( ! [SV33: $i] :
( ( sK10_E @ SV33 )
= ( sK18_SY30 = SV33 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(410,plain,
( ( ( sK10_E
= ( ^ [SY44: $i] : ( sK18_SY30 = SY44 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(411,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ( ( SV34 != sK15_SY32 ) )
| ~ ( sK10_E @ SV34 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(412,plain,
! [SV18: $i] :
( ( ( ! [SY39: $i] :
~ ~ ( ~ ( ( SY39 != SV18 ) )
| ~ ( sK10_E @ SY39 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(413,plain,
! [SV29: $i] :
( ( ( ~ ( ( sK10_E @ SV29 )
| ( sK11_E = SV29 ) )
| ~ ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(414,plain,
! [SV29: $i] :
( ( ( ( sK10_E @ SV29 )
= ( sK11_E = SV29 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(415,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ( ( SV30 != sK11_E ) )
| ~ ( sK10_E @ SV30 ) ) )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(416,plain,
( ( ( ~ ~ ( ~ ( ( sK23_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK23_SY35 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[393]) ).
thf(417,plain,
( ( ( ~ ( ~ ( ( sK20_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK20_SY35 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(418,plain,
! [SV23: $i] :
( ( ( ( sK10_E @ SV23 )
| ( sK11_E = SV23 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(419,plain,
! [SV26: $i] :
( ( ( ~ ( ( SV26 != sK11_E ) )
| ~ ( sK10_E @ SV26 ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(420,plain,
( ( ( ! [SV35: $i] :
( ( sK1_SV1 @ SV35 )
= ( sK19_SY22 = SV35 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[397]) ).
thf(421,plain,
( ( ( sK1_SV1
= ( ^ [SY45: $i] : ( sK19_SY22 = SY45 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[397]) ).
thf(422,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( ( SV36 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SV36 ) ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(423,plain,
! [SV19: $i] :
( ( ( ! [SY41: $i] :
~ ~ ( ~ ( ( SY41 != SV19 ) )
| ~ ( sK1_SV1 @ SY41 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(424,plain,
! [SV31: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV31 )
| ( sK12_E = SV31 ) )
| ~ ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[400]) ).
thf(425,plain,
! [SV31: $i] :
( ( ( ( sK1_SV1 @ SV31 )
= ( sK12_E = SV31 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[400]) ).
thf(426,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( ( SV32 != sK12_E ) )
| ~ ( sK1_SV1 @ SV32 ) ) )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(427,plain,
( ( ( ~ ~ ( ~ ( ( sK24_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK24_SY37 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(428,plain,
( ( ( ~ ( ~ ( ( sK21_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK21_SY37 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(429,plain,
! [SV24: $i] :
( ( ( ( sK1_SV1 @ SV24 )
| ( sK12_E = SV24 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(430,plain,
! [SV28: $i] :
( ( ( ~ ( ( SV28 != sK12_E ) )
| ~ ( sK1_SV1 @ SV28 ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(431,plain,
! [SV20: $i] :
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( ( SY42 != SV20 ) )
| ~ ( sK10_E @ SY42 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(432,plain,
( ( ( sK10_E
= ( ^ [SY46: $i] : ( sK22_SY30 = SY46 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(433,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( ( SV37 != sK17_SY32 ) )
| ~ ( sK10_E @ SV37 ) ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(434,plain,
! [SV38: $i] :
( ( ( ( sK10_E @ SV38 )
= ( sK18_SY30 = SV38 ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(435,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ( ( SV34 != sK15_SY32 ) )
| ~ ( sK10_E @ SV34 ) ) )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(436,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK25_SY39 @ SV18 )
!= SV18 ) )
| ~ ( sK10_E @ ( sK25_SY39 @ SV18 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(437,plain,
! [SV29: $i] :
( ( ( ~ ( ( sK10_E @ SV29 )
| ( sK11_E = SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(438,plain,
! [SV30: $i] :
( ( ( ~ ( ( SV30 != sK11_E ) )
| ~ ( sK10_E @ SV30 ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(439,plain,
( ( ( ~ ( ~ ( ( sK23_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK23_SY35 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(440,plain,
( ( ( ~ ( ( sK20_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK20_SY35 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(441,plain,
! [SV23: $i] :
( ( ( sK10_E @ SV23 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(442,plain,
! [SV23: $i] :
( ( ( sK11_E = SV23 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(443,plain,
! [SV26: $i] :
( ( ( ~ ( ( SV26 != sK11_E ) ) )
= $true )
| ( ( ~ ( sK10_E @ SV26 ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(444,plain,
! [SV39: $i] :
( ( ( ( sK1_SV1 @ SV39 )
= ( sK19_SY22 = SV39 ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(445,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( ( SV36 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SV36 ) ) )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(446,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK26_SY41 @ SV19 )
!= SV19 ) )
| ~ ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(447,plain,
! [SV31: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV31 )
| ( sK12_E = SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(448,plain,
! [SV32: $i] :
( ( ( ~ ( ( SV32 != sK12_E ) )
| ~ ( sK1_SV1 @ SV32 ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(449,plain,
( ( ( ~ ( ~ ( ( sK24_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK24_SY37 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(450,plain,
( ( ( ~ ( ( sK21_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK21_SY37 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(451,plain,
! [SV24: $i] :
( ( ( sK1_SV1 @ SV24 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(452,plain,
! [SV24: $i] :
( ( ( sK12_E = SV24 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(453,plain,
! [SV28: $i] :
( ( ( ~ ( ( SV28 != sK12_E ) ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV28 ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(454,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_SY42 @ SV20 )
!= SV20 ) )
| ~ ( sK10_E @ ( sK27_SY42 @ SV20 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[431]) ).
thf(455,plain,
( ( ( ! [SV40: $i] :
( ( sK10_E @ SV40 )
= ( sK22_SY30 = SV40 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(456,plain,
( ( ( sK10_E
= ( ^ [SY46: $i] : ( sK22_SY30 = SY46 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(457,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( ( SV37 != sK17_SY32 ) )
| ~ ( sK10_E @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(458,plain,
! [SV38: $i] :
( ( ( ~ ( ( sK10_E @ SV38 )
| ( sK18_SY30 = SV38 ) )
| ~ ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(459,plain,
! [SV38: $i] :
( ( ( ( sK10_E @ SV38 )
= ( sK18_SY30 = SV38 ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(460,plain,
! [SV34: $i] :
( ( ( ~ ( ( SV34 != sK15_SY32 ) )
| ~ ( sK10_E @ SV34 ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(461,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( ( ( sK25_SY39 @ SV18 )
!= SV18 ) )
| ~ ( sK10_E @ ( sK25_SY39 @ SV18 ) ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(462,plain,
! [SV29: $i] :
( ( ( ( sK10_E @ SV29 )
| ( sK11_E = SV29 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(463,plain,
! [SV30: $i] :
( ( ( ~ ( ( SV30 != sK11_E ) ) )
= $true )
| ( ( ~ ( sK10_E @ SV30 ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(464,plain,
( ( ( ~ ( ( sK23_SY35 != sK11_E ) )
| ~ ( sK10_E @ sK23_SY35 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(465,plain,
( ( ( ~ ( ( sK20_SY35 != sK11_E ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(466,plain,
( ( ( ~ ( sK10_E @ sK20_SY35 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(467,plain,
! [SV23: $i] :
( ( ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) )
= $false )
| ( ( sK10_E @ SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(468,plain,
! [SV23: $i] :
( ( ( ~ ( sK10_E @ SV23 )
| ( sK11_E != SV23 ) )
= $false )
| ( ( sK11_E = SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(469,plain,
! [SV26: $i] :
( ( ( SV26 != sK11_E )
= $false )
| ( ( ~ ( sK10_E @ SV26 ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(470,plain,
! [SV39: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV39 )
| ( sK19_SY22 = SV39 ) )
| ~ ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(471,plain,
! [SV39: $i] :
( ( ( ( sK1_SV1 @ SV39 )
= ( sK19_SY22 = SV39 ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(472,plain,
! [SV36: $i] :
( ( ( ~ ( ( SV36 != sK16_SY20 ) )
| ~ ( sK1_SV1 @ SV36 ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(473,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( ( ( sK26_SY41 @ SV19 )
!= SV19 ) )
| ~ ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(474,plain,
! [SV31: $i] :
( ( ( ( sK1_SV1 @ SV31 )
| ( sK12_E = SV31 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(475,plain,
! [SV32: $i] :
( ( ( ~ ( ( SV32 != sK12_E ) ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV32 ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(476,plain,
( ( ( ~ ( ( sK24_SY37 != sK12_E ) )
| ~ ( sK1_SV1 @ sK24_SY37 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(477,plain,
( ( ( ~ ( ( sK21_SY37 != sK12_E ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(478,plain,
( ( ( ~ ( sK1_SV1 @ sK21_SY37 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(479,plain,
! [SV24: $i] :
( ( ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) )
= $false )
| ( ( sK1_SV1 @ SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(480,plain,
! [SV24: $i] :
( ( ( ~ ( sK1_SV1 @ SV24 )
| ( sK12_E != SV24 ) )
= $false )
| ( ( sK12_E = SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(481,plain,
! [SV28: $i] :
( ( ( SV28 != sK12_E )
= $false )
| ( ( ~ ( sK1_SV1 @ SV28 ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(482,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( ( ( sK27_SY42 @ SV20 )
!= SV20 ) )
| ~ ( sK10_E @ ( sK27_SY42 @ SV20 ) ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(483,plain,
! [SV41: $i] :
( ( ( ( sK10_E @ SV41 )
= ( sK22_SY30 = SV41 ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(484,plain,
! [SV37: $i] :
( ( ( ~ ( ( SV37 != sK17_SY32 ) )
| ~ ( sK10_E @ SV37 ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(485,plain,
! [SV38: $i] :
( ( ( ~ ( ( sK10_E @ SV38 )
| ( sK18_SY30 = SV38 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(486,plain,
! [SV34: $i] :
( ( ( ~ ( ( SV34 != sK15_SY32 ) ) )
= $true )
| ( ( ~ ( sK10_E @ SV34 ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(487,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( sK25_SY39 @ SV18 )
!= SV18 ) )
| ~ ( sK10_E @ ( sK25_SY39 @ SV18 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(488,plain,
! [SV29: $i] :
( ( ( sK10_E @ SV29 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(489,plain,
! [SV29: $i] :
( ( ( sK11_E = SV29 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(490,plain,
! [SV30: $i] :
( ( ( SV30 != sK11_E )
= $false )
| ( ( ~ ( sK10_E @ SV30 ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(491,plain,
( ( ( ~ ( ( sK23_SY35 != sK11_E ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(492,plain,
( ( ( ~ ( sK10_E @ sK23_SY35 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(493,plain,
( ( ( sK20_SY35 != sK11_E )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(494,plain,
( ( ( sK10_E @ sK20_SY35 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(496,plain,
! [SV23: $i] :
( ( ( sK11_E != SV23 )
= $false )
| ( ( sK10_E @ SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(497,plain,
! [SV23: $i] :
( ( ( ~ ( sK10_E @ SV23 ) )
= $false )
| ( ( sK11_E = SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(499,plain,
! [SV26: $i] :
( ( ( SV26 = sK11_E )
= $true )
| ( ( ~ ( sK10_E @ SV26 ) )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(500,plain,
! [SV39: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV39 )
| ( sK19_SY22 = SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(501,plain,
! [SV36: $i] :
( ( ( ~ ( ( SV36 != sK16_SY20 ) ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV36 ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(502,plain,
! [SV19: $i] :
( ( ( ~ ( ( ( sK26_SY41 @ SV19 )
!= SV19 ) )
| ~ ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(503,plain,
! [SV31: $i] :
( ( ( sK1_SV1 @ SV31 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(504,plain,
! [SV31: $i] :
( ( ( sK12_E = SV31 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(505,plain,
! [SV32: $i] :
( ( ( SV32 != sK12_E )
= $false )
| ( ( ~ ( sK1_SV1 @ SV32 ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(506,plain,
( ( ( ~ ( ( sK24_SY37 != sK12_E ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(507,plain,
( ( ( ~ ( sK1_SV1 @ sK24_SY37 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(508,plain,
( ( ( sK21_SY37 != sK12_E )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(509,plain,
( ( ( sK1_SV1 @ sK21_SY37 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(511,plain,
! [SV24: $i] :
( ( ( sK12_E != SV24 )
= $false )
| ( ( sK1_SV1 @ SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(512,plain,
! [SV24: $i] :
( ( ( ~ ( sK1_SV1 @ SV24 ) )
= $false )
| ( ( sK12_E = SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(514,plain,
! [SV28: $i] :
( ( ( SV28 = sK12_E )
= $true )
| ( ( ~ ( sK1_SV1 @ SV28 ) )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(515,plain,
! [SV20: $i] :
( ( ( ~ ( ( ( sK27_SY42 @ SV20 )
!= SV20 ) )
| ~ ( sK10_E @ ( sK27_SY42 @ SV20 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(516,plain,
! [SV41: $i] :
( ( ( ~ ( ( sK10_E @ SV41 )
| ( sK22_SY30 = SV41 ) )
| ~ ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(517,plain,
! [SV41: $i] :
( ( ( ( sK10_E @ SV41 )
= ( sK22_SY30 = SV41 ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(518,plain,
! [SV37: $i] :
( ( ( ~ ( ( SV37 != sK17_SY32 ) ) )
= $true )
| ( ( ~ ( sK10_E @ SV37 ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(519,plain,
! [SV38: $i] :
( ( ( ( sK10_E @ SV38 )
| ( sK18_SY30 = SV38 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(520,plain,
! [SV34: $i] :
( ( ( SV34 != sK15_SY32 )
= $false )
| ( ( ~ ( sK10_E @ SV34 ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(521,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( sK25_SY39 @ SV18 )
!= SV18 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(522,plain,
! [SV18: $i] :
( ( ( ~ ( sK10_E @ ( sK25_SY39 @ SV18 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(523,plain,
! [SV29: $i] :
( ( ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) )
= $false )
| ( ( sK10_E @ SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(524,plain,
! [SV29: $i] :
( ( ( ~ ( sK10_E @ SV29 )
| ( sK11_E != SV29 ) )
= $false )
| ( ( sK11_E = SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(525,plain,
! [SV30: $i] :
( ( ( SV30 = sK11_E )
= $true )
| ( ( ~ ( sK10_E @ SV30 ) )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(526,plain,
( ( ( sK23_SY35 != sK11_E )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(527,plain,
( ( ( sK10_E @ sK23_SY35 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(528,plain,
( ( ( sK20_SY35 = sK11_E )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(529,plain,
( ( ( ! [SV42: $i] :
( ( sK10_E @ SV42 )
= ( sK11_E = SV42 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[494]) ).
thf(530,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[494]) ).
thf(532,plain,
! [SV23: $i] :
( ( ( sK11_E = SV23 )
= $true )
| ( ( sK10_E @ SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(533,plain,
! [SV23: $i] :
( ( ( sK10_E @ SV23 )
= $true )
| ( ( sK11_E = SV23 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(535,plain,
! [SV26: $i] :
( ( ( sK10_E @ SV26 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(536,plain,
! [SV39: $i] :
( ( ( ( sK1_SV1 @ SV39 )
| ( sK19_SY22 = SV39 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(537,plain,
! [SV36: $i] :
( ( ( SV36 != sK16_SY20 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV36 ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(538,plain,
! [SV19: $i] :
( ( ( ~ ( ( ( sK26_SY41 @ SV19 )
!= SV19 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(539,plain,
! [SV19: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(540,plain,
! [SV31: $i] :
( ( ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) )
= $false )
| ( ( sK1_SV1 @ SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(541,plain,
! [SV31: $i] :
( ( ( ~ ( sK1_SV1 @ SV31 )
| ( sK12_E != SV31 ) )
= $false )
| ( ( sK12_E = SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(542,plain,
! [SV32: $i] :
( ( ( SV32 = sK12_E )
= $true )
| ( ( ~ ( sK1_SV1 @ SV32 ) )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(543,plain,
( ( ( sK24_SY37 != sK12_E )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(544,plain,
( ( ( sK1_SV1 @ sK24_SY37 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(545,plain,
( ( ( sK21_SY37 = sK12_E )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(546,plain,
( ( ( ! [SV43: $i] :
( ( sK1_SV1 @ SV43 )
= ( sK12_E = SV43 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[509]) ).
thf(547,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[509]) ).
thf(549,plain,
! [SV24: $i] :
( ( ( sK12_E = SV24 )
= $true )
| ( ( sK1_SV1 @ SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(550,plain,
! [SV24: $i] :
( ( ( sK1_SV1 @ SV24 )
= $true )
| ( ( sK12_E = SV24 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(552,plain,
! [SV28: $i] :
( ( ( sK1_SV1 @ SV28 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(553,plain,
! [SV20: $i] :
( ( ( ~ ( ( ( sK27_SY42 @ SV20 )
!= SV20 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(554,plain,
! [SV20: $i] :
( ( ( ~ ( sK10_E @ ( sK27_SY42 @ SV20 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(555,plain,
! [SV41: $i] :
( ( ( ~ ( ( sK10_E @ SV41 )
| ( sK22_SY30 = SV41 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(556,plain,
! [SV37: $i] :
( ( ( SV37 != sK17_SY32 )
= $false )
| ( ( ~ ( sK10_E @ SV37 ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(557,plain,
! [SV38: $i] :
( ( ( sK10_E @ SV38 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(558,plain,
! [SV38: $i] :
( ( ( sK18_SY30 = SV38 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) ) )
= $true )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(559,plain,
! [SV34: $i] :
( ( ( SV34 = sK15_SY32 )
= $true )
| ( ( ~ ( sK10_E @ SV34 ) )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(560,plain,
! [SV18: $i] :
( ( ( ( sK25_SY39 @ SV18 )
!= SV18 )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(561,plain,
! [SV18: $i] :
( ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(563,plain,
! [SV29: $i] :
( ( ( sK11_E != SV29 )
= $false )
| ( ( sK10_E @ SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(564,plain,
! [SV29: $i] :
( ( ( ~ ( sK10_E @ SV29 ) )
= $false )
| ( ( sK11_E = SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(566,plain,
! [SV30: $i] :
( ( ( sK10_E @ SV30 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(567,plain,
( ( ( sK23_SY35 = sK11_E )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E
!= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(568,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(569,plain,
( ( ( ! [SV44: $i] :
( ( sK10_E @ SV44 )
= ( sK11_E = SV44 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[528]) ).
thf(570,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[528]) ).
thf(571,plain,
( ( ( ( sK10_E @ sK28_SV42 )
= ( sK11_E = sK28_SV42 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[529]) ).
thf(572,plain,
! [SV26: $i] :
( ( ( ! [SV45: $i] :
( ( sK10_E @ SV45 )
= ( sK11_E = SV45 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[535]) ).
thf(573,plain,
! [SV26: $i] :
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[535]) ).
thf(574,plain,
! [SV39: $i] :
( ( ( sK1_SV1 @ SV39 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(575,plain,
! [SV39: $i] :
( ( ( sK19_SY22 = SV39 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) ) )
= $true )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(576,plain,
! [SV36: $i] :
( ( ( SV36 = sK16_SY20 )
= $true )
| ( ( ~ ( sK1_SV1 @ SV36 ) )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(577,plain,
! [SV19: $i] :
( ( ( ( sK26_SY41 @ SV19 )
!= SV19 )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(578,plain,
! [SV19: $i] :
( ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(580,plain,
! [SV31: $i] :
( ( ( sK12_E != SV31 )
= $false )
| ( ( sK1_SV1 @ SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(581,plain,
! [SV31: $i] :
( ( ( ~ ( sK1_SV1 @ SV31 ) )
= $false )
| ( ( sK12_E = SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(583,plain,
! [SV32: $i] :
( ( ( sK1_SV1 @ SV32 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(584,plain,
( ( ( sK24_SY37 = sK12_E )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1
!= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(585,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(586,plain,
( ( ( ! [SV46: $i] :
( ( sK1_SV1 @ SV46 )
= ( sK12_E = SV46 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[545]) ).
thf(587,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[545]) ).
thf(588,plain,
( ( ( ( sK1_SV1 @ sK29_SV43 )
= ( sK12_E = sK29_SV43 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[546]) ).
thf(589,plain,
! [SV28: $i] :
( ( ( ! [SV47: $i] :
( ( sK1_SV1 @ SV47 )
= ( sK12_E = SV47 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[552]) ).
thf(590,plain,
! [SV28: $i] :
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[552]) ).
thf(591,plain,
! [SV20: $i] :
( ( ( ( sK27_SY42 @ SV20 )
!= SV20 )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(592,plain,
! [SV20: $i] :
( ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(593,plain,
! [SV41: $i] :
( ( ( ( sK10_E @ SV41 )
| ( sK22_SY30 = SV41 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(594,plain,
! [SV37: $i] :
( ( ( SV37 = sK17_SY32 )
= $true )
| ( ( ~ ( sK10_E @ SV37 ) )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(595,plain,
! [SV38: $i] :
( ( ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) )
= $false )
| ( ( sK10_E @ SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(596,plain,
! [SV38: $i] :
( ( ( ~ ( sK10_E @ SV38 )
| ( sK18_SY30 != SV38 ) )
= $false )
| ( ( sK18_SY30 = SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(597,plain,
! [SV34: $i] :
( ( ( sK10_E @ SV34 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(598,plain,
! [SV18: $i] :
( ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(599,plain,
! [SV18: $i,SV48: $i] :
( ( ( sK10_E
!= ( ^ [SY47: $i] : ( SV48 = SY47 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(601,plain,
! [SV29: $i] :
( ( ( sK11_E = SV29 )
= $true )
| ( ( sK10_E @ SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(602,plain,
! [SV29: $i] :
( ( ( sK10_E @ SV29 )
= $true )
| ( ( sK11_E = SV29 )
= $false )
| ( ( sK10_E @ sK11_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(604,plain,
! [SV30: $i] :
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(605,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(606,plain,
( ( ( ! [SV49: $i] :
( ( sK10_E @ SV49 )
= ( sK11_E = SV49 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[568]) ).
thf(607,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[568]) ).
thf(608,plain,
( ( ( ( sK10_E @ sK30_SV44 )
= ( sK11_E = sK30_SV44 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[569]) ).
thf(609,plain,
( ( ( ~ ( ( sK10_E @ sK28_SV42 )
| ( sK11_E = sK28_SV42 ) )
| ~ ( ~ ( sK10_E @ sK28_SV42 )
| ( sK11_E != sK28_SV42 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[571]) ).
thf(610,plain,
( ( ( ( sK10_E @ sK28_SV42 )
= ( sK11_E = sK28_SV42 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[571]) ).
thf(611,plain,
! [SV26: $i,SV50: $i] :
( ( ( ( sK10_E @ SV50 )
= ( sK11_E = SV50 ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(612,plain,
! [SV39: $i] :
( ( ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) )
= $false )
| ( ( sK1_SV1 @ SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(613,plain,
! [SV39: $i] :
( ( ( ~ ( sK1_SV1 @ SV39 )
| ( sK19_SY22 != SV39 ) )
= $false )
| ( ( sK19_SY22 = SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(614,plain,
! [SV36: $i] :
( ( ( sK1_SV1 @ SV36 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(615,plain,
! [SV19: $i] :
( ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ! [SY22: $i] :
( sK1_SV1
!= ( ^ [SX2: $i] : ( SY22 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(616,plain,
! [SV19: $i,SV51: $i] :
( ( ( sK1_SV1
!= ( ^ [SY48: $i] : ( SV51 = SY48 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(618,plain,
! [SV31: $i] :
( ( ( sK12_E = SV31 )
= $true )
| ( ( sK1_SV1 @ SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(619,plain,
! [SV31: $i] :
( ( ( sK1_SV1 @ SV31 )
= $true )
| ( ( sK12_E = SV31 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(621,plain,
! [SV32: $i] :
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(622,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(623,plain,
( ( ( ! [SV52: $i] :
( ( sK1_SV1 @ SV52 )
= ( sK12_E = SV52 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[585]) ).
thf(624,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[585]) ).
thf(625,plain,
( ( ( ( sK1_SV1 @ sK31_SV46 )
= ( sK12_E = sK31_SV46 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[586]) ).
thf(626,plain,
( ( ( ~ ( ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E = sK29_SV43 ) )
| ~ ( ~ ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E != sK29_SV43 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[588]) ).
thf(627,plain,
( ( ( ( sK1_SV1 @ sK29_SV43 )
= ( sK12_E = sK29_SV43 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[588]) ).
thf(628,plain,
! [SV28: $i,SV53: $i] :
( ( ( ( sK1_SV1 @ SV53 )
= ( sK12_E = SV53 ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(629,plain,
! [SV20: $i] :
( ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(630,plain,
! [SV20: $i] :
( ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(631,plain,
! [SV41: $i] :
( ( ( sK10_E @ SV41 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(632,plain,
! [SV41: $i] :
( ( ( sK22_SY30 = SV41 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) ) )
= $true )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(633,plain,
! [SV37: $i] :
( ( ( sK10_E @ SV37 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( ~ ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(635,plain,
! [SV38: $i] :
( ( ( sK18_SY30 != SV38 )
= $false )
| ( ( sK10_E @ SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(636,plain,
! [SV38: $i] :
( ( ( ~ ( sK10_E @ SV38 ) )
= $false )
| ( ( sK18_SY30 = SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(638,plain,
! [SV34: $i] :
( ( ( sK10_E
!= ( ^ [SY49: $i] :
( ( sK32_SY30 @ SV34 )
= SY49 ) ) )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[597]) ).
thf(639,plain,
! [SV18: $i,SV54: $i] :
( ( ( sK10_E
!= ( ^ [SY50: $i] : ( SV54 = SY50 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(640,plain,
! [SV18: $i,SV48: $i] :
( ( ( sK10_E
= ( ^ [SY47: $i] : ( SV48 = SY47 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(641,plain,
! [SV30: $i] :
( ( ( ! [SV55: $i] :
( ( sK10_E @ SV55 )
= ( sK11_E = SV55 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(642,plain,
! [SV30: $i] :
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(643,plain,
( ( ( ! [SV56: $i] :
( ( sK10_E @ SV56 )
= ( sK11_E = SV56 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[605]) ).
thf(644,plain,
( ( ( sK10_E
= ( ^ [SY34: $i] : ( sK11_E = SY34 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[605]) ).
thf(645,plain,
( ( ( ( sK10_E @ sK33_SV49 )
= ( sK11_E = sK33_SV49 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[606]) ).
thf(646,plain,
( ( ( ~ ( ( sK10_E @ sK30_SV44 )
| ( sK11_E = sK30_SV44 ) )
| ~ ( ~ ( sK10_E @ sK30_SV44 )
| ( sK11_E != sK30_SV44 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[608]) ).
thf(647,plain,
( ( ( ( sK10_E @ sK30_SV44 )
= ( sK11_E = sK30_SV44 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[608]) ).
thf(648,plain,
( ( ( ~ ( ( sK10_E @ sK28_SV42 )
| ( sK11_E = sK28_SV42 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(649,plain,
( ( ( ~ ( ~ ( sK10_E @ sK28_SV42 )
| ( sK11_E != sK28_SV42 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(650,plain,
! [SV26: $i,SV50: $i] :
( ( ( ~ ( ( sK10_E @ SV50 )
| ( sK11_E = SV50 ) )
| ~ ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(651,plain,
! [SV26: $i,SV50: $i] :
( ( ( ( sK10_E @ SV50 )
= ( sK11_E = SV50 ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(653,plain,
! [SV39: $i] :
( ( ( sK19_SY22 != SV39 )
= $false )
| ( ( sK1_SV1 @ SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(654,plain,
! [SV39: $i] :
( ( ( ~ ( sK1_SV1 @ SV39 ) )
= $false )
| ( ( sK19_SY22 = SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(656,plain,
! [SV36: $i] :
( ( ( sK1_SV1
!= ( ^ [SY51: $i] :
( ( sK34_SY22 @ SV36 )
= SY51 ) ) )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[614]) ).
thf(657,plain,
! [SV19: $i,SV57: $i] :
( ( ( sK1_SV1
!= ( ^ [SY52: $i] : ( SV57 = SY52 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(658,plain,
! [SV19: $i,SV51: $i] :
( ( ( sK1_SV1
= ( ^ [SY48: $i] : ( SV51 = SY48 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(659,plain,
! [SV32: $i] :
( ( ( ! [SV58: $i] :
( ( sK1_SV1 @ SV58 )
= ( sK12_E = SV58 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(660,plain,
! [SV32: $i] :
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(661,plain,
( ( ( ! [SV59: $i] :
( ( sK1_SV1 @ SV59 )
= ( sK12_E = SV59 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[622]) ).
thf(662,plain,
( ( ( sK1_SV1
= ( ^ [SY36: $i] : ( sK12_E = SY36 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[622]) ).
thf(663,plain,
( ( ( ( sK1_SV1 @ sK35_SV52 )
= ( sK12_E = sK35_SV52 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[623]) ).
thf(664,plain,
( ( ( ~ ( ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E = sK31_SV46 ) )
| ~ ( ~ ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E != sK31_SV46 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[625]) ).
thf(665,plain,
( ( ( ( sK1_SV1 @ sK31_SV46 )
= ( sK12_E = sK31_SV46 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[625]) ).
thf(666,plain,
( ( ( ~ ( ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E = sK29_SV43 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(667,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E != sK29_SV43 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(668,plain,
! [SV28: $i,SV53: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV53 )
| ( sK12_E = SV53 ) )
| ~ ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(669,plain,
! [SV28: $i,SV53: $i] :
( ( ( ( sK1_SV1 @ SV53 )
= ( sK12_E = SV53 ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(670,plain,
! [SV20: $i] :
( ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(671,plain,
! [SV20: $i,SV60: $i] :
( ( ( sK10_E
!= ( ^ [SY53: $i] : ( SV60 = SY53 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(672,plain,
! [SV41: $i] :
( ( ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) )
= $false )
| ( ( sK10_E @ SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(673,plain,
! [SV41: $i] :
( ( ( ~ ( sK10_E @ SV41 )
| ( sK22_SY30 != SV41 ) )
= $false )
| ( ( sK22_SY30 = SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(674,plain,
! [SV37: $i] :
( ( ( ! [SY30: $i] :
( sK10_E
!= ( ^ [SX2: $i] : ( SY30 = SX2 ) ) ) )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(676,plain,
! [SV38: $i] :
( ( ( sK18_SY30 = SV38 )
= $true )
| ( ( sK10_E @ SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(677,plain,
! [SV38: $i] :
( ( ( sK10_E @ SV38 )
= $true )
| ( ( sK18_SY30 = SV38 )
= $false )
| ( ( sK10_E @ sK15_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(679,plain,
! [SV34: $i] :
( ( ( sK10_E
= ( ^ [SY49: $i] :
( ( sK32_SY30 @ SV34 )
= SY49 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(680,plain,
! [SV18: $i,SV54: $i] :
( ( ( sK10_E
= ( ^ [SY50: $i] : ( SV54 = SY50 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(681,plain,
! [SV18: $i,SV48: $i] :
( ( ( ! [SV61: $i] :
( ( sK10_E @ SV61 )
= ( SV48 = SV61 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[640]) ).
thf(682,plain,
! [SV18: $i,SV48: $i] :
( ( ( sK10_E
= ( ^ [SY47: $i] : ( SV48 = SY47 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[640]) ).
thf(683,plain,
! [SV30: $i,SV62: $i] :
( ( ( ( sK10_E @ SV62 )
= ( sK11_E = SV62 ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(684,plain,
( ( ( ( sK10_E @ sK36_SV56 )
= ( sK11_E = sK36_SV56 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[643]) ).
thf(685,plain,
( ( ( ~ ( ( sK10_E @ sK33_SV49 )
| ( sK11_E = sK33_SV49 ) )
| ~ ( ~ ( sK10_E @ sK33_SV49 )
| ( sK11_E != sK33_SV49 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[645]) ).
thf(686,plain,
( ( ( ( sK10_E @ sK33_SV49 )
= ( sK11_E = sK33_SV49 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[645]) ).
thf(687,plain,
( ( ( ~ ( ( sK10_E @ sK30_SV44 )
| ( sK11_E = sK30_SV44 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(688,plain,
( ( ( ~ ( ~ ( sK10_E @ sK30_SV44 )
| ( sK11_E != sK30_SV44 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(689,plain,
( ( ( ( sK10_E @ sK28_SV42 )
| ( sK11_E = sK28_SV42 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(690,plain,
( ( ( ~ ( sK10_E @ sK28_SV42 )
| ( sK11_E != sK28_SV42 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(691,plain,
! [SV26: $i,SV50: $i] :
( ( ( ~ ( ( sK10_E @ SV50 )
| ( sK11_E = SV50 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(693,plain,
! [SV39: $i] :
( ( ( sK19_SY22 = SV39 )
= $true )
| ( ( sK1_SV1 @ SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(694,plain,
! [SV39: $i] :
( ( ( sK1_SV1 @ SV39 )
= $true )
| ( ( sK19_SY22 = SV39 )
= $false )
| ( ( sK1_SV1 @ sK16_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(696,plain,
! [SV36: $i] :
( ( ( sK1_SV1
= ( ^ [SY51: $i] :
( ( sK34_SY22 @ SV36 )
= SY51 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(697,plain,
! [SV19: $i,SV57: $i] :
( ( ( sK1_SV1
= ( ^ [SY52: $i] : ( SV57 = SY52 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(698,plain,
! [SV19: $i,SV51: $i] :
( ( ( ! [SV63: $i] :
( ( sK1_SV1 @ SV63 )
= ( SV51 = SV63 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[658]) ).
thf(699,plain,
! [SV19: $i,SV51: $i] :
( ( ( sK1_SV1
= ( ^ [SY48: $i] : ( SV51 = SY48 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[658]) ).
thf(700,plain,
! [SV32: $i,SV64: $i] :
( ( ( ( sK1_SV1 @ SV64 )
= ( sK12_E = SV64 ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(701,plain,
( ( ( ( sK1_SV1 @ sK37_SV59 )
= ( sK12_E = sK37_SV59 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[661]) ).
thf(702,plain,
( ( ( ~ ( ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E = sK35_SV52 ) )
| ~ ( ~ ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E != sK35_SV52 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(703,plain,
( ( ( ( sK1_SV1 @ sK35_SV52 )
= ( sK12_E = sK35_SV52 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(704,plain,
( ( ( ~ ( ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E = sK31_SV46 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(705,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E != sK31_SV46 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(706,plain,
( ( ( ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E = sK29_SV43 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(707,plain,
( ( ( ~ ( sK1_SV1 @ sK29_SV43 )
| ( sK12_E != sK29_SV43 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(708,plain,
! [SV28: $i,SV53: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV53 )
| ( sK12_E = SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(709,plain,
! [SV20: $i,SV65: $i] :
( ( ( sK10_E
!= ( ^ [SY54: $i] : ( SV65 = SY54 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(710,plain,
! [SV20: $i,SV60: $i] :
( ( ( sK10_E
= ( ^ [SY53: $i] : ( SV60 = SY53 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(712,plain,
! [SV41: $i] :
( ( ( sK22_SY30 != SV41 )
= $false )
| ( ( sK10_E @ SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(713,plain,
! [SV41: $i] :
( ( ( ~ ( sK10_E @ SV41 ) )
= $false )
| ( ( sK22_SY30 = SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(715,plain,
! [SV37: $i] :
( ( ( sK10_E
!= ( ^ [SY55: $i] :
( ( sK38_SY30 @ SV37 )
= SY55 ) ) )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[674]) ).
thf(716,plain,
! [SV34: $i] :
( ( ( ! [SV66: $i] :
( ( sK10_E @ SV66 )
= ( ( sK32_SY30 @ SV34 )
= SV66 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[679]) ).
thf(717,plain,
! [SV34: $i] :
( ( ( sK10_E
= ( ^ [SY49: $i] :
( ( sK32_SY30 @ SV34 )
= SY49 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[679]) ).
thf(718,plain,
! [SV18: $i,SV54: $i] :
( ( ( ! [SV67: $i] :
( ( sK10_E @ SV67 )
= ( SV54 = SV67 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[680]) ).
thf(719,plain,
! [SV18: $i,SV54: $i] :
( ( ( sK10_E
= ( ^ [SY50: $i] : ( SV54 = SY50 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[680]) ).
thf(720,plain,
! [SV48: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
= ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[681]) ).
thf(721,plain,
! [SV30: $i,SV62: $i] :
( ( ( ~ ( ( sK10_E @ SV62 )
| ( sK11_E = SV62 ) )
| ~ ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[683]) ).
thf(722,plain,
! [SV30: $i,SV62: $i] :
( ( ( ( sK10_E @ SV62 )
= ( sK11_E = SV62 ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[683]) ).
thf(723,plain,
( ( ( ~ ( ( sK10_E @ sK36_SV56 )
| ( sK11_E = sK36_SV56 ) )
| ~ ( ~ ( sK10_E @ sK36_SV56 )
| ( sK11_E != sK36_SV56 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[684]) ).
thf(724,plain,
( ( ( ( sK10_E @ sK36_SV56 )
= ( sK11_E = sK36_SV56 ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[684]) ).
thf(725,plain,
( ( ( ~ ( ( sK10_E @ sK33_SV49 )
| ( sK11_E = sK33_SV49 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(726,plain,
( ( ( ~ ( ~ ( sK10_E @ sK33_SV49 )
| ( sK11_E != sK33_SV49 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(727,plain,
( ( ( ( sK10_E @ sK30_SV44 )
| ( sK11_E = sK30_SV44 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(728,plain,
( ( ( ~ ( sK10_E @ sK30_SV44 )
| ( sK11_E != sK30_SV44 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(729,plain,
( ( ( sK10_E @ sK28_SV42 )
= $true )
| ( ( sK11_E = sK28_SV42 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(730,plain,
( ( ( ~ ( sK10_E @ sK28_SV42 ) )
= $true )
| ( ( sK11_E != sK28_SV42 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(731,plain,
! [SV26: $i,SV50: $i] :
( ( ( ( sK10_E @ SV50 )
| ( sK11_E = SV50 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(732,plain,
! [SV36: $i] :
( ( ( ! [SV68: $i] :
( ( sK1_SV1 @ SV68 )
= ( ( sK34_SY22 @ SV36 )
= SV68 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[696]) ).
thf(733,plain,
! [SV36: $i] :
( ( ( sK1_SV1
= ( ^ [SY51: $i] :
( ( sK34_SY22 @ SV36 )
= SY51 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[696]) ).
thf(734,plain,
! [SV19: $i,SV57: $i] :
( ( ( ! [SV69: $i] :
( ( sK1_SV1 @ SV69 )
= ( SV57 = SV69 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[697]) ).
thf(735,plain,
! [SV19: $i,SV57: $i] :
( ( ( sK1_SV1
= ( ^ [SY52: $i] : ( SV57 = SY52 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[697]) ).
thf(736,plain,
! [SV51: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
= ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[698]) ).
thf(737,plain,
! [SV32: $i,SV64: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV64 )
| ( sK12_E = SV64 ) )
| ~ ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[700]) ).
thf(738,plain,
! [SV32: $i,SV64: $i] :
( ( ( ( sK1_SV1 @ SV64 )
= ( sK12_E = SV64 ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[700]) ).
thf(739,plain,
( ( ( ~ ( ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E = sK37_SV59 ) )
| ~ ( ~ ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E != sK37_SV59 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[701]) ).
thf(740,plain,
( ( ( ( sK1_SV1 @ sK37_SV59 )
= ( sK12_E = sK37_SV59 ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[701]) ).
thf(741,plain,
( ( ( ~ ( ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E = sK35_SV52 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(742,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E != sK35_SV52 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(743,plain,
( ( ( ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E = sK31_SV46 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(744,plain,
( ( ( ~ ( sK1_SV1 @ sK31_SV46 )
| ( sK12_E != sK31_SV46 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(745,plain,
( ( ( sK1_SV1 @ sK29_SV43 )
= $true )
| ( ( sK12_E = sK29_SV43 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(746,plain,
( ( ( ~ ( sK1_SV1 @ sK29_SV43 ) )
= $true )
| ( ( sK12_E != sK29_SV43 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(747,plain,
! [SV28: $i,SV53: $i] :
( ( ( ( sK1_SV1 @ SV53 )
| ( sK12_E = SV53 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(748,plain,
! [SV20: $i,SV65: $i] :
( ( ( sK10_E
= ( ^ [SY54: $i] : ( SV65 = SY54 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(749,plain,
! [SV20: $i,SV60: $i] :
( ( ( ! [SV70: $i] :
( ( sK10_E @ SV70 )
= ( SV60 = SV70 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[710]) ).
thf(750,plain,
! [SV20: $i,SV60: $i] :
( ( ( sK10_E
= ( ^ [SY53: $i] : ( SV60 = SY53 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[710]) ).
thf(752,plain,
! [SV41: $i] :
( ( ( sK22_SY30 = SV41 )
= $true )
| ( ( sK10_E @ SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(753,plain,
! [SV41: $i] :
( ( ( sK10_E @ SV41 )
= $true )
| ( ( sK22_SY30 = SV41 )
= $false )
| ( ( sK10_E @ sK17_SY32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(755,plain,
! [SV37: $i] :
( ( ( sK10_E
= ( ^ [SY55: $i] :
( ( sK38_SY30 @ SV37 )
= SY55 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(756,plain,
! [SV34: $i,SV71: $i] :
( ( ( ( sK10_E @ SV71 )
= ( ( sK32_SY30 @ SV34 )
= SV71 ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(757,plain,
! [SV54: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
= ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[718]) ).
thf(758,plain,
! [SV48: $i,SV18: $i] :
( ( ( ~ ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) ) )
| ~ ( ~ ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
!= ( sK39_SV61 @ SV18 @ SV48 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[720]) ).
thf(759,plain,
! [SV48: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
= ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[720]) ).
thf(760,plain,
! [SV30: $i,SV62: $i] :
( ( ( ~ ( ( sK10_E @ SV62 )
| ( sK11_E = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(761,plain,
( ( ( ~ ( ( sK10_E @ sK36_SV56 )
| ( sK11_E = sK36_SV56 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(762,plain,
( ( ( ~ ( ~ ( sK10_E @ sK36_SV56 )
| ( sK11_E != sK36_SV56 ) ) )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(763,plain,
( ( ( ( sK10_E @ sK33_SV49 )
| ( sK11_E = sK33_SV49 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(764,plain,
( ( ( ~ ( sK10_E @ sK33_SV49 )
| ( sK11_E != sK33_SV49 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(765,plain,
( ( ( sK10_E @ sK30_SV44 )
= $true )
| ( ( sK11_E = sK30_SV44 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(766,plain,
( ( ( ~ ( sK10_E @ sK30_SV44 ) )
= $true )
| ( ( sK11_E != sK30_SV44 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(767,plain,
( ( ( sK10_E @ sK28_SV42 )
= $false )
| ( ( sK11_E != sK28_SV42 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(768,plain,
! [SV26: $i,SV50: $i] :
( ( ( sK10_E @ SV50 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(769,plain,
! [SV26: $i,SV50: $i] :
( ( ( sK11_E = SV50 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) ) )
= $true )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(770,plain,
! [SV36: $i,SV72: $i] :
( ( ( ( sK1_SV1 @ SV72 )
= ( ( sK34_SY22 @ SV36 )
= SV72 ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(771,plain,
! [SV57: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
= ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[734]) ).
thf(772,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) ) )
| ~ ( ~ ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
!= ( sK40_SV63 @ SV19 @ SV51 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[736]) ).
thf(773,plain,
! [SV51: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
= ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[736]) ).
thf(774,plain,
! [SV32: $i,SV64: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV64 )
| ( sK12_E = SV64 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(775,plain,
( ( ( ~ ( ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E = sK37_SV59 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(776,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E != sK37_SV59 ) ) )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(777,plain,
( ( ( ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E = sK35_SV52 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(778,plain,
( ( ( ~ ( sK1_SV1 @ sK35_SV52 )
| ( sK12_E != sK35_SV52 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(779,plain,
( ( ( sK1_SV1 @ sK31_SV46 )
= $true )
| ( ( sK12_E = sK31_SV46 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(780,plain,
( ( ( ~ ( sK1_SV1 @ sK31_SV46 ) )
= $true )
| ( ( sK12_E != sK31_SV46 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(781,plain,
( ( ( sK1_SV1 @ sK29_SV43 )
= $false )
| ( ( sK12_E != sK29_SV43 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(782,plain,
! [SV28: $i,SV53: $i] :
( ( ( sK1_SV1 @ SV53 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(783,plain,
! [SV28: $i,SV53: $i] :
( ( ( sK12_E = SV53 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) ) )
= $true )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(784,plain,
! [SV20: $i,SV65: $i] :
( ( ( ! [SV73: $i] :
( ( sK10_E @ SV73 )
= ( SV65 = SV73 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[748]) ).
thf(785,plain,
! [SV20: $i,SV65: $i] :
( ( ( sK10_E
= ( ^ [SY54: $i] : ( SV65 = SY54 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[748]) ).
thf(786,plain,
! [SV60: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
= ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[749]) ).
thf(787,plain,
! [SV37: $i] :
( ( ( ! [SV74: $i] :
( ( sK10_E @ SV74 )
= ( ( sK38_SY30 @ SV37 )
= SV74 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(788,plain,
! [SV37: $i] :
( ( ( sK10_E
= ( ^ [SY55: $i] :
( ( sK38_SY30 @ SV37 )
= SY55 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(789,plain,
! [SV34: $i,SV71: $i] :
( ( ( ~ ( ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
= SV71 ) )
| ~ ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(790,plain,
! [SV34: $i,SV71: $i] :
( ( ( ( sK10_E @ SV71 )
= ( ( sK32_SY30 @ SV34 )
= SV71 ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(791,plain,
! [SV54: $i,SV18: $i] :
( ( ( ~ ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) ) )
| ~ ( ~ ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
!= ( sK41_SV67 @ SV18 @ SV54 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[757]) ).
thf(792,plain,
! [SV54: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
= ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[757]) ).
thf(793,plain,
! [SV48: $i,SV18: $i] :
( ( ( ~ ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(794,plain,
! [SV48: $i,SV18: $i] :
( ( ( ~ ( ~ ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
!= ( sK39_SV61 @ SV18 @ SV48 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(795,plain,
! [SV30: $i,SV62: $i] :
( ( ( ( sK10_E @ SV62 )
| ( sK11_E = SV62 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(796,plain,
( ( ( ( sK10_E @ sK36_SV56 )
| ( sK11_E = sK36_SV56 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(797,plain,
( ( ( ~ ( sK10_E @ sK36_SV56 )
| ( sK11_E != sK36_SV56 ) )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(798,plain,
( ( ( sK10_E @ sK33_SV49 )
= $true )
| ( ( sK11_E = sK33_SV49 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(799,plain,
( ( ( ~ ( sK10_E @ sK33_SV49 ) )
= $true )
| ( ( sK11_E != sK33_SV49 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(800,plain,
( ( ( sK10_E @ sK30_SV44 )
= $false )
| ( ( sK11_E != sK30_SV44 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(801,plain,
( ( ( sK11_E = sK28_SV42 )
= $false )
| ( ( sK10_E @ sK28_SV42 )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK20_SY35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(802,plain,
! [SV26: $i,SV50: $i] :
( ( ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) )
= $false )
| ( ( sK10_E @ SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(803,plain,
! [SV26: $i,SV50: $i] :
( ( ( ~ ( sK10_E @ SV50 )
| ( sK11_E != SV50 ) )
= $false )
| ( ( sK11_E = SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(804,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
= SV72 ) )
| ~ ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(805,plain,
! [SV36: $i,SV72: $i] :
( ( ( ( sK1_SV1 @ SV72 )
= ( ( sK34_SY22 @ SV36 )
= SV72 ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(806,plain,
! [SV57: $i,SV19: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) ) )
| ~ ( ~ ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
!= ( sK42_SV69 @ SV19 @ SV57 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[771]) ).
thf(807,plain,
! [SV57: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
= ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[771]) ).
thf(808,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(809,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
!= ( sK40_SV63 @ SV19 @ SV51 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(810,plain,
! [SV32: $i,SV64: $i] :
( ( ( ( sK1_SV1 @ SV64 )
| ( sK12_E = SV64 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(811,plain,
( ( ( ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E = sK37_SV59 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(812,plain,
( ( ( ~ ( sK1_SV1 @ sK37_SV59 )
| ( sK12_E != sK37_SV59 ) )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(813,plain,
( ( ( sK1_SV1 @ sK35_SV52 )
= $true )
| ( ( sK12_E = sK35_SV52 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(814,plain,
( ( ( ~ ( sK1_SV1 @ sK35_SV52 ) )
= $true )
| ( ( sK12_E != sK35_SV52 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(815,plain,
( ( ( sK1_SV1 @ sK31_SV46 )
= $false )
| ( ( sK12_E != sK31_SV46 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(816,plain,
( ( ( sK12_E = sK29_SV43 )
= $false )
| ( ( sK1_SV1 @ sK29_SV43 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK21_SY37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(817,plain,
! [SV28: $i,SV53: $i] :
( ( ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) )
= $false )
| ( ( sK1_SV1 @ SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(818,plain,
! [SV28: $i,SV53: $i] :
( ( ( ~ ( sK1_SV1 @ SV53 )
| ( sK12_E != SV53 ) )
= $false )
| ( ( sK12_E = SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(819,plain,
! [SV65: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
= ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[784]) ).
thf(820,plain,
! [SV60: $i,SV20: $i] :
( ( ( ~ ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) ) )
| ~ ( ~ ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
!= ( sK43_SV70 @ SV20 @ SV60 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[786]) ).
thf(821,plain,
! [SV60: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
= ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[786]) ).
thf(822,plain,
! [SV37: $i,SV75: $i] :
( ( ( ( sK10_E @ SV75 )
= ( ( sK38_SY30 @ SV37 )
= SV75 ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(823,plain,
! [SV34: $i,SV71: $i] :
( ( ( ~ ( ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
= SV71 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(824,plain,
! [SV54: $i,SV18: $i] :
( ( ( ~ ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(825,plain,
! [SV54: $i,SV18: $i] :
( ( ( ~ ( ~ ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
!= ( sK41_SV67 @ SV18 @ SV54 ) ) ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(826,plain,
! [SV48: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(827,plain,
! [SV48: $i,SV18: $i] :
( ( ( ~ ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
| ( SV48
!= ( sK39_SV61 @ SV18 @ SV48 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(828,plain,
! [SV30: $i,SV62: $i] :
( ( ( sK10_E @ SV62 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(829,plain,
! [SV30: $i,SV62: $i] :
( ( ( sK11_E = SV62 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) ) )
= $true )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(830,plain,
( ( ( sK10_E @ sK36_SV56 )
= $true )
| ( ( sK11_E = sK36_SV56 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(831,plain,
( ( ( ~ ( sK10_E @ sK36_SV56 ) )
= $true )
| ( ( sK11_E != sK36_SV56 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(832,plain,
( ( ( sK10_E @ sK33_SV49 )
= $false )
| ( ( sK11_E != sK33_SV49 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(833,plain,
( ( ( sK11_E = sK30_SV44 )
= $false )
| ( ( sK10_E @ sK30_SV44 )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK20_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(835,plain,
! [SV26: $i,SV50: $i] :
( ( ( sK11_E != SV50 )
= $false )
| ( ( sK10_E @ SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(836,plain,
! [SV26: $i,SV50: $i] :
( ( ( ~ ( sK10_E @ SV50 ) )
= $false )
| ( ( sK11_E = SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(838,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
= SV72 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(839,plain,
! [SV57: $i,SV19: $i] :
( ( ( ~ ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(840,plain,
! [SV57: $i,SV19: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
!= ( sK42_SV69 @ SV19 @ SV57 ) ) ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(841,plain,
! [SV51: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(842,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
| ( SV51
!= ( sK40_SV63 @ SV19 @ SV51 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(843,plain,
! [SV32: $i,SV64: $i] :
( ( ( sK1_SV1 @ SV64 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(844,plain,
! [SV32: $i,SV64: $i] :
( ( ( sK12_E = SV64 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) ) )
= $true )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(845,plain,
( ( ( sK1_SV1 @ sK37_SV59 )
= $true )
| ( ( sK12_E = sK37_SV59 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(846,plain,
( ( ( ~ ( sK1_SV1 @ sK37_SV59 ) )
= $true )
| ( ( sK12_E != sK37_SV59 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(847,plain,
( ( ( sK1_SV1 @ sK35_SV52 )
= $false )
| ( ( sK12_E != sK35_SV52 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(848,plain,
( ( ( sK12_E = sK31_SV46 )
= $false )
| ( ( sK1_SV1 @ sK31_SV46 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK21_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(850,plain,
! [SV28: $i,SV53: $i] :
( ( ( sK12_E != SV53 )
= $false )
| ( ( sK1_SV1 @ SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(851,plain,
! [SV28: $i,SV53: $i] :
( ( ( ~ ( sK1_SV1 @ SV53 ) )
= $false )
| ( ( sK12_E = SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(853,plain,
! [SV65: $i,SV20: $i] :
( ( ( ~ ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) ) )
| ~ ( ~ ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
!= ( sK44_SV73 @ SV20 @ SV65 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[819]) ).
thf(854,plain,
! [SV65: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
= ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[819]) ).
thf(855,plain,
! [SV60: $i,SV20: $i] :
( ( ( ~ ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(856,plain,
! [SV60: $i,SV20: $i] :
( ( ( ~ ( ~ ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
!= ( sK43_SV70 @ SV20 @ SV60 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(857,plain,
! [SV37: $i,SV75: $i] :
( ( ( ~ ( ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
= SV75 ) )
| ~ ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[822]) ).
thf(858,plain,
! [SV37: $i,SV75: $i] :
( ( ( ( sK10_E @ SV75 )
= ( ( sK38_SY30 @ SV37 )
= SV75 ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[822]) ).
thf(859,plain,
! [SV34: $i,SV71: $i] :
( ( ( ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
= SV71 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(860,plain,
! [SV54: $i,SV18: $i] :
( ( ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(861,plain,
! [SV54: $i,SV18: $i] :
( ( ( ~ ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
| ( SV54
!= ( sK41_SV67 @ SV18 @ SV54 ) ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(862,plain,
! [SV48: $i,SV18: $i] :
( ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
= $true )
| ( ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(863,plain,
! [SV48: $i,SV18: $i] :
( ( ( ~ ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) ) )
= $true )
| ( ( SV48
!= ( sK39_SV61 @ SV18 @ SV48 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(864,plain,
! [SV30: $i,SV62: $i] :
( ( ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) )
= $false )
| ( ( sK10_E @ SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(865,plain,
! [SV30: $i,SV62: $i] :
( ( ( ~ ( sK10_E @ SV62 )
| ( sK11_E != SV62 ) )
= $false )
| ( ( sK11_E = SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(866,plain,
( ( ( sK10_E @ sK36_SV56 )
= $false )
| ( ( sK11_E != sK36_SV56 )
= $true )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(867,plain,
( ( ( sK11_E = sK33_SV49 )
= $false )
| ( ( sK10_E @ sK33_SV49 )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK10_E @ sK23_SY35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(869,plain,
! [SV26: $i,SV50: $i] :
( ( ( sK11_E = SV50 )
= $true )
| ( ( sK10_E @ SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(870,plain,
! [SV26: $i,SV50: $i] :
( ( ( sK10_E @ SV50 )
= $true )
| ( ( sK11_E = SV50 )
= $false )
| ( ( SV26 = sK11_E )
= $true )
| ( ( sK10_E @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(872,plain,
! [SV36: $i,SV72: $i] :
( ( ( ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
= SV72 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(873,plain,
! [SV57: $i,SV19: $i] :
( ( ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(874,plain,
! [SV57: $i,SV19: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
| ( SV57
!= ( sK42_SV69 @ SV19 @ SV57 ) ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(875,plain,
! [SV51: $i,SV19: $i] :
( ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
= $true )
| ( ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(876,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) ) )
= $true )
| ( ( SV51
!= ( sK40_SV63 @ SV19 @ SV51 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(877,plain,
! [SV32: $i,SV64: $i] :
( ( ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) )
= $false )
| ( ( sK1_SV1 @ SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(878,plain,
! [SV32: $i,SV64: $i] :
( ( ( ~ ( sK1_SV1 @ SV64 )
| ( sK12_E != SV64 ) )
= $false )
| ( ( sK12_E = SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(879,plain,
( ( ( sK1_SV1 @ sK37_SV59 )
= $false )
| ( ( sK12_E != sK37_SV59 )
= $true )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(880,plain,
( ( ( sK12_E = sK35_SV52 )
= $false )
| ( ( sK1_SV1 @ sK35_SV52 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK1_SV1 @ sK24_SY37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(882,plain,
! [SV28: $i,SV53: $i] :
( ( ( sK12_E = SV53 )
= $true )
| ( ( sK1_SV1 @ SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(883,plain,
! [SV28: $i,SV53: $i] :
( ( ( sK1_SV1 @ SV53 )
= $true )
| ( ( sK12_E = SV53 )
= $false )
| ( ( SV28 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(885,plain,
! [SV65: $i,SV20: $i] :
( ( ( ~ ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(886,plain,
! [SV65: $i,SV20: $i] :
( ( ( ~ ( ~ ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
!= ( sK44_SV73 @ SV20 @ SV65 ) ) ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(887,plain,
! [SV60: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(888,plain,
! [SV60: $i,SV20: $i] :
( ( ( ~ ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
| ( SV60
!= ( sK43_SV70 @ SV20 @ SV60 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(889,plain,
! [SV37: $i,SV75: $i] :
( ( ( ~ ( ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
= SV75 ) ) )
= $true )
| ( ( ~ ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(890,plain,
! [SV34: $i,SV71: $i] :
( ( ( sK10_E @ SV71 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(891,plain,
! [SV71: $i,SV34: $i] :
( ( ( ( sK32_SY30 @ SV34 )
= SV71 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) ) )
= $true )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(892,plain,
! [SV54: $i,SV18: $i] :
( ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
= $true )
| ( ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(893,plain,
! [SV54: $i,SV18: $i] :
( ( ( ~ ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) ) )
= $true )
| ( ( SV54
!= ( sK41_SV67 @ SV18 @ SV54 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(894,plain,
! [SV48: $i,SV18: $i] :
( ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
= $false )
| ( ( SV48
!= ( sK39_SV61 @ SV18 @ SV48 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(896,plain,
! [SV30: $i,SV62: $i] :
( ( ( sK11_E != SV62 )
= $false )
| ( ( sK10_E @ SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[864]) ).
thf(897,plain,
! [SV30: $i,SV62: $i] :
( ( ( ~ ( sK10_E @ SV62 ) )
= $false )
| ( ( sK11_E = SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(899,plain,
( ( ( sK11_E = sK36_SV56 )
= $false )
| ( ( sK10_E @ sK36_SV56 )
= $false )
| ( ( sK10_E @ sK11_E )
= $false )
| ( ( sK23_SY35 = sK11_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(900,plain,
! [SV36: $i,SV72: $i] :
( ( ( sK1_SV1 @ SV72 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(901,plain,
! [SV72: $i,SV36: $i] :
( ( ( ( sK34_SY22 @ SV36 )
= SV72 )
= $false )
| ( ( ~ ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) ) )
= $true )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(902,plain,
! [SV57: $i,SV19: $i] :
( ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
= $true )
| ( ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(903,plain,
! [SV57: $i,SV19: $i] :
( ( ( ~ ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) ) )
= $true )
| ( ( SV57
!= ( sK42_SV69 @ SV19 @ SV57 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(904,plain,
! [SV51: $i,SV19: $i] :
( ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
= $false )
| ( ( SV51
!= ( sK40_SV63 @ SV19 @ SV51 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(906,plain,
! [SV32: $i,SV64: $i] :
( ( ( sK12_E != SV64 )
= $false )
| ( ( sK1_SV1 @ SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(907,plain,
! [SV32: $i,SV64: $i] :
( ( ( ~ ( sK1_SV1 @ SV64 ) )
= $false )
| ( ( sK12_E = SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(909,plain,
( ( ( sK12_E = sK37_SV59 )
= $false )
| ( ( sK1_SV1 @ sK37_SV59 )
= $false )
| ( ( sK1_SV1 @ sK12_E )
= $false )
| ( ( sK24_SY37 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(910,plain,
! [SV65: $i,SV20: $i] :
( ( ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(911,plain,
! [SV65: $i,SV20: $i] :
( ( ( ~ ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
| ( SV65
!= ( sK44_SV73 @ SV20 @ SV65 ) ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(912,plain,
! [SV60: $i,SV20: $i] :
( ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
= $true )
| ( ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(913,plain,
! [SV60: $i,SV20: $i] :
( ( ( ~ ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) ) )
= $true )
| ( ( SV60
!= ( sK43_SV70 @ SV20 @ SV60 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(914,plain,
! [SV37: $i,SV75: $i] :
( ( ( ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
= SV75 ) )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(915,plain,
! [SV34: $i,SV71: $i] :
( ( ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) )
= $false )
| ( ( sK10_E @ SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(916,plain,
! [SV34: $i,SV71: $i] :
( ( ( ~ ( sK10_E @ SV71 )
| ( ( sK32_SY30 @ SV34 )
!= SV71 ) )
= $false )
| ( ( ( sK32_SY30 @ SV34 )
= SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(917,plain,
! [SV54: $i,SV18: $i] :
( ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
= $false )
| ( ( SV54
!= ( sK41_SV67 @ SV18 @ SV54 ) )
= $true )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(918,plain,
! [SV18: $i,SV48: $i] :
( ( ( SV48
= ( sK39_SV61 @ SV18 @ SV48 ) )
= $false )
| ( ( sK10_E @ ( sK39_SV61 @ SV18 @ SV48 ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( sK10_E @ ( sK25_SY39 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(920,plain,
! [SV30: $i,SV62: $i] :
( ( ( sK11_E = SV62 )
= $true )
| ( ( sK10_E @ SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(921,plain,
! [SV30: $i,SV62: $i] :
( ( ( sK10_E @ SV62 )
= $true )
| ( ( sK11_E = SV62 )
= $false )
| ( ( SV30 = sK11_E )
= $true )
| ( ( sK10_E @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(923,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) )
= $false )
| ( ( sK1_SV1 @ SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(924,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( sK1_SV1 @ SV72 )
| ( ( sK34_SY22 @ SV36 )
!= SV72 ) )
= $false )
| ( ( ( sK34_SY22 @ SV36 )
= SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(925,plain,
! [SV57: $i,SV19: $i] :
( ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
= $false )
| ( ( SV57
!= ( sK42_SV69 @ SV19 @ SV57 ) )
= $true )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(926,plain,
! [SV19: $i,SV51: $i] :
( ( ( SV51
= ( sK40_SV63 @ SV19 @ SV51 ) )
= $false )
| ( ( sK1_SV1 @ ( sK40_SV63 @ SV19 @ SV51 ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( sK1_SV1 @ ( sK26_SY41 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(928,plain,
! [SV32: $i,SV64: $i] :
( ( ( sK12_E = SV64 )
= $true )
| ( ( sK1_SV1 @ SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(929,plain,
! [SV32: $i,SV64: $i] :
( ( ( sK1_SV1 @ SV64 )
= $true )
| ( ( sK12_E = SV64 )
= $false )
| ( ( SV32 = sK12_E )
= $true )
| ( ( sK1_SV1 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(931,plain,
! [SV65: $i,SV20: $i] :
( ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
= $true )
| ( ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(932,plain,
! [SV65: $i,SV20: $i] :
( ( ( ~ ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) ) )
= $true )
| ( ( SV65
!= ( sK44_SV73 @ SV20 @ SV65 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(933,plain,
! [SV60: $i,SV20: $i] :
( ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
= $false )
| ( ( SV60
!= ( sK43_SV70 @ SV20 @ SV60 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(934,plain,
! [SV37: $i,SV75: $i] :
( ( ( sK10_E @ SV75 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(935,plain,
! [SV75: $i,SV37: $i] :
( ( ( ( sK38_SY30 @ SV37 )
= SV75 )
= $false )
| ( ( ~ ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) ) )
= $true )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(937,plain,
! [SV71: $i,SV34: $i] :
( ( ( ( sK32_SY30 @ SV34 )
!= SV71 )
= $false )
| ( ( sK10_E @ SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(938,plain,
! [SV34: $i,SV71: $i] :
( ( ( ~ ( sK10_E @ SV71 ) )
= $false )
| ( ( ( sK32_SY30 @ SV34 )
= SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(940,plain,
! [SV18: $i,SV54: $i] :
( ( ( SV54
= ( sK41_SV67 @ SV18 @ SV54 ) )
= $false )
| ( ( sK10_E @ ( sK41_SV67 @ SV18 @ SV54 ) )
= $false )
| ( ( sK10_E @ SV18 )
= $false )
| ( ( ( sK25_SY39 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(942,plain,
! [SV72: $i,SV36: $i] :
( ( ( ( sK34_SY22 @ SV36 )
!= SV72 )
= $false )
| ( ( sK1_SV1 @ SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(943,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( sK1_SV1 @ SV72 ) )
= $false )
| ( ( ( sK34_SY22 @ SV36 )
= SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(945,plain,
! [SV19: $i,SV57: $i] :
( ( ( SV57
= ( sK42_SV69 @ SV19 @ SV57 ) )
= $false )
| ( ( sK1_SV1 @ ( sK42_SV69 @ SV19 @ SV57 ) )
= $false )
| ( ( sK1_SV1 @ SV19 )
= $false )
| ( ( ( sK26_SY41 @ SV19 )
= SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(946,plain,
! [SV65: $i,SV20: $i] :
( ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
= $false )
| ( ( SV65
!= ( sK44_SV73 @ SV20 @ SV65 ) )
= $true )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(947,plain,
! [SV20: $i,SV60: $i] :
( ( ( SV60
= ( sK43_SV70 @ SV20 @ SV60 ) )
= $false )
| ( ( sK10_E @ ( sK43_SV70 @ SV20 @ SV60 ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( sK10_E @ ( sK27_SY42 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(948,plain,
! [SV37: $i,SV75: $i] :
( ( ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) )
= $false )
| ( ( sK10_E @ SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(949,plain,
! [SV37: $i,SV75: $i] :
( ( ( ~ ( sK10_E @ SV75 )
| ( ( sK38_SY30 @ SV37 )
!= SV75 ) )
= $false )
| ( ( ( sK38_SY30 @ SV37 )
= SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(951,plain,
! [SV71: $i,SV34: $i] :
( ( ( ( sK32_SY30 @ SV34 )
= SV71 )
= $true )
| ( ( sK10_E @ SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(952,plain,
! [SV34: $i,SV71: $i] :
( ( ( sK10_E @ SV71 )
= $true )
| ( ( ( sK32_SY30 @ SV34 )
= SV71 )
= $false )
| ( ( SV34 = sK15_SY32 )
= $true )
| ( ( sK10_E @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(955,plain,
! [SV72: $i,SV36: $i] :
( ( ( ( sK34_SY22 @ SV36 )
= SV72 )
= $true )
| ( ( sK1_SV1 @ SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(956,plain,
! [SV36: $i,SV72: $i] :
( ( ( sK1_SV1 @ SV72 )
= $true )
| ( ( ( sK34_SY22 @ SV36 )
= SV72 )
= $false )
| ( ( SV36 = sK16_SY20 )
= $true )
| ( ( sK1_SV1 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(958,plain,
! [SV20: $i,SV65: $i] :
( ( ( SV65
= ( sK44_SV73 @ SV20 @ SV65 ) )
= $false )
| ( ( sK10_E @ ( sK44_SV73 @ SV20 @ SV65 ) )
= $false )
| ( ( sK10_E @ SV20 )
= $false )
| ( ( ( sK27_SY42 @ SV20 )
= SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(960,plain,
! [SV75: $i,SV37: $i] :
( ( ( ( sK38_SY30 @ SV37 )
!= SV75 )
= $false )
| ( ( sK10_E @ SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(961,plain,
! [SV37: $i,SV75: $i] :
( ( ( ~ ( sK10_E @ SV75 ) )
= $false )
| ( ( ( sK38_SY30 @ SV37 )
= SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(964,plain,
! [SV75: $i,SV37: $i] :
( ( ( ( sK38_SY30 @ SV37 )
= SV75 )
= $true )
| ( ( sK10_E @ SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(965,plain,
! [SV37: $i,SV75: $i] :
( ( ( sK10_E @ SV75 )
= $true )
| ( ( ( sK38_SY30 @ SV37 )
= SV75 )
= $false )
| ( ( SV37 = sK17_SY32 )
= $true )
| ( ( sK10_E @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(967,plain,
! [SV15: $i] :
( ( ( sK3_SY22 = SV15 )
= $true )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(sim,[status(thm)],[223]) ).
thf(968,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(sim,[status(thm)],[235]) ).
thf(969,plain,
! [SV15: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV15 )
= $false )
| ( ( sK3_SY22 = SV15 )
= $true ) ),
inference(sim,[status(thm)],[230]) ).
thf(970,plain,
( ( ( sK1_SV1 @ sK3_SY22 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(sim,[status(thm)],[237]) ).
thf(971,plain,
! [SV17: $i] :
( ( ( sK1_SV1 @ SV17 )
= $false )
| ( ( sK3_SY22 = SV17 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(sim,[status(thm)],[232]) ).
thf(972,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(sim,[status(thm)],[238]) ).
thf(973,plain,
! [SV5: $i] :
( ( ( sK3_SY22 = SV5 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(sim,[status(thm)],[211]) ).
thf(974,plain,
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ sK3_SY22 )
= $true ) ),
inference(sim,[status(thm)],[241]) ).
thf(975,plain,
! [SV5: $i] :
( ( ( sK1_SV1 @ sK2_SY20 )
= $true )
| ( ( sK1_SV1 @ SV5 )
= $false )
| ( ( sK3_SY22 = SV5 )
= $true ) ),
inference(sim,[status(thm)],[234]) ).
thf(976,plain,
( ( ( sK1_SV1 @ sK3_SY22 )
= $true )
| ( ( sK1_SV1 @ sK2_SY20 )
= $true ) ),
inference(sim,[status(thm)],[243]) ).
thf(977,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,976,975,974,973,972,971,970,969,968,967,965,964,958,956,955,952,951,947,945,940,931,929,928,926,921,920,918,912,909,902,899,892,883,882,880,875,870,869,867,862,858,854,848,845,833,830,821,816,813,807,805,801,798,792,790,788,785,779,773,765,759,753,752,750,745,740,738,735,733,729,724,722,719,717,703,699,694,693,686,682,677,676,669,665,662,660,651,647,644,642,627,624,619,618,610,607,602,601,590,587,573,570,550,549,547,533,532,530,517,471,459,456,425,421,414,410,383,378,372,367,337,327,267,266,265,264,263,261,260,259,144,142,140,138,132,131,128,127,123,117,104,101,96,94,92,86,80,79,51,44,13]) ).
thf(978,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV293^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 15:44:54 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.40/16.32
% 96.40/16.32 No.of.Axioms: 0
% 96.40/16.32
% 96.40/16.32 Length.of.Defs: 458
% 96.40/16.32
% 96.40/16.32 Contains.Choice.Funs: false
% 96.40/16.32 ..eprover: CPU time limit exceeded, terminating
% 96.40/16.32 ..............
% 96.40/16.32
% 96.40/16.32 ********************************
% 96.40/16.32 * All subproblems solved! *
% 96.40/16.32 ********************************
% 96.40/16.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:977,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 96.40/16.32
% 96.40/16.32 %**** Beginning of derivation protocol ****
% 96.40/16.32 % SZS output start CNFRefutation
% See solution above
% 96.40/16.32
% 96.40/16.32 %**** End of derivation protocol ****
% 96.40/16.32 %**** no. of clauses in derivation: 859 ****
% 96.40/16.32 %**** clause counter: 977 ****
% 96.40/16.32
% 96.40/16.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:977,loop_count:0,foatp_calls:2,translation:fof_experiment)
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