%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV300^5 : 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 : n018.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 95.47s 16.27s
% Output : CNFRefutation 95.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 4
% Syntax : Number of formulae : 873 ( 27 unt; 0 typ; 3 def)
% Number of atoms : 9175 (4516 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 7288 (2509 ~;2252 |; 12 &;2508 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 49 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 26 con; 0-2 aty)
% Number of variables : 1581 ( 397 ^;1165 !; 19 ?;1581 :)
% 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 ).
thf(tp_sK11_E,type,
sK11_E: $i > $o ).
thf(tp_sK12_E,type,
sK12_E: $i ).
thf(tp_sK13_E,type,
sK13_E: $i ).
thf(tp_sK14_E,type,
sK14_E: $i > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: $i > $i > $i ).
thf(tp_sK16_SY42,type,
sK16_SY42: $i ).
thf(tp_sK17_SY30,type,
sK17_SY30: $i ).
thf(tp_sK18_SY42,type,
sK18_SY42: $i ).
thf(tp_sK19_SY40,type,
sK19_SY40: $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $i ) > ( $i > $i ) > $i ).
thf(tp_sK20_SY32,type,
sK20_SY32: $i ).
thf(tp_sK21_SY45,type,
sK21_SY45: $i ).
thf(tp_sK22_SY47,type,
sK22_SY47: $i ).
thf(tp_sK23_SY40,type,
sK23_SY40: $i ).
thf(tp_sK24_SY45,type,
sK24_SY45: $i ).
thf(tp_sK25_SY47,type,
sK25_SY47: $i ).
thf(tp_sK26_SY49,type,
sK26_SY49: $i > $i ).
thf(tp_sK27_SY51,type,
sK27_SY51: $i > $i ).
thf(tp_sK28_SY52,type,
sK28_SY52: $i > $i ).
thf(tp_sK29_SV47,type,
sK29_SV47: $i ).
thf(tp_sK2_SV3,type,
sK2_SV3: $i > $o ).
thf(tp_sK30_SV48,type,
sK30_SV48: $i ).
thf(tp_sK31_SV49,type,
sK31_SV49: $i ).
thf(tp_sK32_SV51,type,
sK32_SV51: $i ).
thf(tp_sK33_SY40,type,
sK33_SY40: $i > $i ).
thf(tp_sK34_SV54,type,
sK34_SV54: $i ).
thf(tp_sK35_SY32,type,
sK35_SY32: $i > $i ).
thf(tp_sK36_SV57,type,
sK36_SV57: $i ).
thf(tp_sK37_SV61,type,
sK37_SV61: $i ).
thf(tp_sK38_SV64,type,
sK38_SV64: $i ).
thf(tp_sK39_SY40,type,
sK39_SY40: $i > $i ).
thf(tp_sK3_SY30,type,
sK3_SY30: $i ).
thf(tp_sK40_SV66,type,
sK40_SV66: $i > $i > $i ).
thf(tp_sK41_SV68,type,
sK41_SV68: $i > $i > $i ).
thf(tp_sK42_SV72,type,
sK42_SV72: $i > $i > $i ).
thf(tp_sK43_SV74,type,
sK43_SV74: $i > $i > $i ).
thf(tp_sK44_SV75,type,
sK44_SV75: $i > $i > $i ).
thf(tp_sK45_SV78,type,
sK45_SV78: $i > $i > $i ).
thf(tp_sK4_SY32,type,
sK4_SY32: $i ).
thf(tp_sK5_SY35,type,
sK5_SY35: $i > $i ).
thf(tp_sK6_SY32,type,
sK6_SY32: $i > $i ).
thf(tp_sK7_SV14,type,
sK7_SV14: $i > $i > $i ).
thf(tp_sK8_SV15,type,
sK8_SV15: $i > $i > $i ).
thf(tp_sK9_SV21,type,
sK9_SV21: $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,
( ! [Xf: $i > $i,Xg: $i > $i] :
( ! [Xx: $i] :
( ( Xf @ Xx )
= ( Xg @ Xx ) )
=> ( Xf = Xg ) )
=> ( cONE
= ( ^ [P: $i > $o] :
? [Xy: $i] :
( P
= ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
@ Xy ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6101_EXT_pme) ).
thf(2,negated_conjecture,
( ( ! [Xf: $i > $i,Xg: $i > $i] :
( ! [Xx: $i] :
( ( Xf @ Xx )
= ( Xg @ Xx ) )
=> ( Xf = Xg ) )
=> ( cONE
= ( ^ [P: $i > $o] :
? [Xy: $i] :
( P
= ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
@ Xy ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xf: $i > $i,Xg: $i > $i] :
( ! [Xx: $i] :
( ( Xf @ Xx )
= ( Xg @ Xx ) )
=> ( Xf = Xg ) )
=> ( ( ^ [SY9: $i > $o] :
? [SY10: $i] :
( ( SY9 @ SY10 )
& ~ ? [SY12: $i] :
( ( SY12 != SY10 )
& ( SY9 @ SY12 ) ) ) )
= ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( SY3
= ( ^ [SY5: $i] : ( SY4 = SY5 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cONE,cSUCC,cZERO]) ).
thf(4,plain,
( ( ! [Xf: $i > $i,Xg: $i > $i] :
( ! [Xx: $i] :
( ( Xf @ Xx )
= ( Xg @ Xx ) )
=> ( Xf = Xg ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ^ [SY9: $i > $o] :
? [SY10: $i] :
( ( SY9 @ SY10 )
& ~ ? [SY12: $i] :
( ( SY12 != SY10 )
& ( SY9 @ SY12 ) ) ) )
= ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( SY3
= ( ^ [SY5: $i] : ( SY4 = SY5 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ( ^ [SY9: $i > $o] :
? [SY10: $i] :
( ( SY9 @ SY10 )
& ~ ? [SY12: $i] :
( ( SY12 != SY10 )
& ( SY9 @ SY12 ) ) ) )
!= ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( SY3
= ( ^ [SY5: $i] : ( SY4 = SY5 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ^ [SY9: $i > $o] :
? [SY10: $i] :
( ( SY9 @ SY10 )
& ~ ? [SY12: $i] :
( ( SY12 != SY10 )
& ( SY9 @ SY12 ) ) ) )
!= ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( SY3
= ( ^ [SY5: $i] : ( SY4 = SY5 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xf: $i > $i,Xg: $i > $i] :
( ( ( Xf @ ( sK1_Xx @ Xg @ Xf ) )
!= ( Xg @ ( sK1_Xx @ Xg @ Xf ) ) )
| ( Xf = Xg ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xf: $i > $i,Xg: $i > $i] :
( ( ( Xf @ ( sK1_Xx @ Xg @ Xf ) )
!= ( Xg @ ( sK1_Xx @ Xg @ Xf ) ) )
| ( Xf = Xg ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SY9: $i > $o] :
? [SY10: $i] :
( ( SY9 @ SY10 )
& ~ ? [SY12: $i] :
( ( SY12 != SY10 )
& ( SY9 @ SY12 ) ) ) )
!= ( ^ [SY3: $i > $o] :
? [SY4: $i] :
( SY3
= ( ^ [SY5: $i] : ( SY4 = SY5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,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)],[10,cONE,cSUCC,cZERO]) ).
thf(12,plain,
! [SV1: $i > $i] :
( ( ! [SY25: $i > $i] :
( ( ( SV1 @ ( sK1_Xx @ SY25 @ SV1 ) )
!= ( SY25 @ ( sK1_Xx @ SY25 @ SV1 ) ) )
| ( SV1 = SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,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)],[11]) ).
thf(14,plain,
! [SV2: $i > $i,SV1: $i > $i] :
( ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
!= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
| ( SV1 = SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SV3: $i > $o] :
( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( SV3 @ SY26 )
| ~ ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( ( SY27 != SY26 ) )
| ~ ( SV3 @ SY27 ) ) ) )
= ( ~ ! [SY28: $i] :
( SV3
!= ( ^ [SX2: $i] : ( SY28 = SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[13]) ).
thf(16,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)],[13]) ).
thf(17,plain,
! [SV2: $i > $i,SV1: $i > $i] :
( ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
!= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(19,plain,
! [SV2: $i > $i,SV1: $i > $i] :
( ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
| ~ ( ~ ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i > $i,SV1: $i > $i] :
( ( ( ! [SV4: $i] :
( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: $i > $i,SV1: $i > $i] :
( ( ( SV1 = SV2 )
= $true )
| ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(26,plain,
! [SV2: $i > $i,SV5: $i,SV1: $i > $i] :
( ( ( ( SV1 @ SV5 )
= ( SV2 @ SV5 ) )
= $true )
| ( ( ( SV1 @ ( sK1_Xx @ SV2 @ SV1 ) )
= ( SV2 @ ( sK1_Xx @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) )
| ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ~ ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
( ( ( ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
( ( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
( ( ( ~ ~ ( ~ ( sK2_SV3 @ sK3_SY30 )
| ~ ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(34,plain,
( ( ( ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK3_SY30 )
| ~ ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( sK2_SV3 @ SV6 )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(37,plain,
( ( ( ~ ( sK2_SV3 @ sK3_SY30 )
| ~ ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ SV6 )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
( ( ( ~ ( sK2_SV3 @ sK3_SY30 ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(40,plain,
( ( ( ~ ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV6: $i] :
( ( ( ~ ( sK2_SV3 @ SV6 )
| ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(42,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV6: $i] :
( ( ( ~ ( sK2_SV3 @ SV6 ) )
= $true )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(45,plain,
( ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV6: $i] :
( ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $true )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(48,plain,
( ( ( sK2_SV3
!= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(49,plain,
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( ( SY34 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SY34 ) ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV6: $i] :
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SV7 ) ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV6: $i] :
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
( ( ( ! [SV8: $i] :
( ( sK2_SV3 @ SV8 )
= ( sK4_SY32 = SV8 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(55,plain,
( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( ( SV7 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV6: $i] :
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( ( SY35 != SV6 ) )
| ~ ( sK2_SV3 @ SY35 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 != sK3_SY30 ) )
| ~ ( sK2_SV3 @ SV7 ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(60,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK5_SY35 @ SV6 )
!= SV6 ) )
| ~ ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(61,plain,
! [SV9: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) )
| ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 != sK3_SY30 ) ) )
= $true )
| ( ( ~ ( sK2_SV3 @ SV7 ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( ( ( sK5_SY35 @ SV6 )
!= SV6 ) )
| ~ ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV9: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV7: $i] :
( ( ( SV7 != sK3_SY30 )
= $false )
| ( ( ~ ( sK2_SV3 @ SV7 ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV6: $i] :
( ( ( ~ ( ( ( sK5_SY35 @ SV6 )
!= SV6 ) )
| ~ ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV7: $i] :
( ( ( SV7 = sK3_SY30 )
= $true )
| ( ( ~ ( sK2_SV3 @ SV7 ) )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV6: $i] :
( ( ( ~ ( ( ( sK5_SY35 @ SV6 )
!= SV6 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(71,plain,
! [SV6: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(72,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV9: $i] :
( ( ( sK4_SY32 = SV9 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV6: $i] :
( ( ( ( sK5_SY35 @ SV6 )
!= SV6 )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV6: $i] :
( ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) )
= $false )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) )
= $false )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV7: $i] :
( ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV6: $i] :
( ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV6: $i] :
( ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV9: $i] :
( ( ( sK4_SY32 != SV9 )
= $false )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 ) )
= $false )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( sK2_SV3
!= ( ^ [SY37: $i] :
( ( sK6_SY32 @ SV7 )
= SY37 ) ) )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(87,plain,
! [SV6: $i] :
( ( ( ~ ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(88,plain,
! [SV6: $i] :
( ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(90,plain,
! [SV9: $i] :
( ( ( sK4_SY32 = SV9 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(91,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ SV9 )
= $true )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(93,plain,
! [SV7: $i] :
( ( ( sK2_SV3
= ( ^ [SY37: $i] :
( ( sK6_SY32 @ SV7 )
= SY37 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(94,plain,
! [SV6: $i] :
( ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(95,plain,
! [SV6: $i,SV10: $i] :
( ( ( sK2_SV3
!= ( ^ [SY38: $i] : ( SV10 = SY38 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV7: $i] :
( ( ( ! [SV11: $i] :
( ( sK2_SV3 @ SV11 )
= ( ( sK6_SY32 @ SV7 )
= SV11 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV7: $i] :
( ( ( sK2_SV3
= ( ^ [SY37: $i] :
( ( sK6_SY32 @ SV7 )
= SY37 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV6: $i,SV12: $i] :
( ( ( sK2_SV3
!= ( ^ [SY39: $i] : ( SV12 = SY39 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(99,plain,
! [SV6: $i,SV10: $i] :
( ( ( sK2_SV3
= ( ^ [SY38: $i] : ( SV10 = SY38 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(100,plain,
! [SV7: $i,SV13: $i] :
( ( ( ( sK2_SV3 @ SV13 )
= ( ( sK6_SY32 @ SV7 )
= SV13 ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV6: $i,SV12: $i] :
( ( ( sK2_SV3
= ( ^ [SY39: $i] : ( SV12 = SY39 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV6: $i,SV10: $i] :
( ( ( ! [SV14: $i] :
( ( sK2_SV3 @ SV14 )
= ( SV10 = SV14 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(103,plain,
! [SV6: $i,SV10: $i] :
( ( ( sK2_SV3
= ( ^ [SY38: $i] : ( SV10 = SY38 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(104,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
= SV13 ) )
| ~ ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV7: $i,SV13: $i] :
( ( ( ( sK2_SV3 @ SV13 )
= ( ( sK6_SY32 @ SV7 )
= SV13 ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV6: $i,SV12: $i] :
( ( ( ! [SV15: $i] :
( ( sK2_SV3 @ SV15 )
= ( SV12 = SV15 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[101]) ).
thf(107,plain,
! [SV6: $i,SV12: $i] :
( ( ( sK2_SV3
= ( ^ [SY39: $i] : ( SV12 = SY39 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[101]) ).
thf(108,plain,
! [SV10: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
= ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(109,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
= SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(110,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
= ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(111,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) ) )
| ~ ( ~ ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
!= ( sK7_SV14 @ SV6 @ SV10 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[108]) ).
thf(112,plain,
! [SV10: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
= ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[108]) ).
thf(113,plain,
! [SV7: $i,SV13: $i] :
( ( ( ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
= SV13 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) ) )
| ~ ( ~ ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
!= ( sK8_SV15 @ SV6 @ SV12 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[110]) ).
thf(115,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
= ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[110]) ).
thf(116,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(117,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
!= ( sK7_SV14 @ SV6 @ SV10 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(118,plain,
! [SV7: $i,SV13: $i] :
( ( ( sK2_SV3 @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(119,plain,
! [SV13: $i,SV7: $i] :
( ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
!= ( sK8_SV15 @ SV6 @ SV12 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV10: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(123,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
| ( SV10
!= ( sK7_SV14 @ SV6 @ SV10 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) )
= $false )
| ( ( sK2_SV3 @ SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( sK2_SV3 @ SV13 )
| ( ( sK6_SY32 @ SV7 )
!= SV13 ) )
= $false )
| ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
| ( SV12
!= ( sK8_SV15 @ SV6 @ SV12 ) ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(128,plain,
! [SV10: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
= $true )
| ( ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV10
!= ( sK7_SV14 @ SV6 @ SV10 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(131,plain,
! [SV13: $i,SV7: $i] :
( ( ( ( sK6_SY32 @ SV7 )
!= SV13 )
= $false )
| ( ( sK2_SV3 @ SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(132,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( sK2_SV3 @ SV13 ) )
= $false )
| ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(134,plain,
! [SV12: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
= $true )
| ( ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) ) )
= $true )
| ( ( SV12
!= ( sK8_SV15 @ SV6 @ SV12 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV10: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
= $false )
| ( ( SV10
!= ( sK7_SV14 @ SV6 @ SV10 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV13: $i,SV7: $i] :
( ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $true )
| ( ( sK2_SV3 @ SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV7: $i,SV13: $i] :
( ( ( sK2_SV3 @ SV13 )
= $true )
| ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV12: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
= $false )
| ( ( SV12
!= ( sK8_SV15 @ SV6 @ SV12 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(142,plain,
! [SV6: $i,SV10: $i] :
( ( ( SV10
= ( sK7_SV14 @ SV6 @ SV10 ) )
= $false )
| ( ( sK2_SV3 @ ( sK7_SV14 @ SV6 @ SV10 ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(143,plain,
! [SV6: $i,SV12: $i] :
( ( ( SV12
= ( sK8_SV15 @ SV6 @ SV12 ) )
= $false )
| ( ( sK2_SV3 @ ( sK8_SV15 @ SV6 @ SV12 ) )
= $false )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( ( sK5_SY35 @ SV6 )
= SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(144,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= ( sK2_SV3 @ sK3_SY30 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[55]) ).
thf(145,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
= ( sK2_SV3 @ sK3_SY30 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[62]) ).
thf(147,plain,
! [SV17: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( ( sK2_SV3 @ SV17 )
= ( sK4_SY32 = SV17 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(148,plain,
! [SV7: $i,SV18: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( ( sK2_SV3 @ SV18 )
= ( ( sK6_SY32 @ SV7 )
= SV18 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[97]) ).
thf(149,plain,
! [SV17: $i] :
( ( ( sK2_SV3 @ SV17 )
= $true )
| ( ( sK4_SY32 = SV17 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(150,plain,
! [SV17: $i] :
( ( ( sK2_SV3 @ SV17 )
= $false )
| ( ( sK4_SY32 = SV17 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(151,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $true )
| ( ( sK4_SY32 = SV9 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[62]) ).
thf(152,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK4_SY32 = SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[62]) ).
thf(153,plain,
! [SV7: $i,SV18: $i] :
( ( ( sK2_SV3 @ SV18 )
= $true )
| ( ( ( sK6_SY32 @ SV7 )
= SV18 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[148]) ).
thf(154,plain,
! [SV7: $i,SV18: $i] :
( ( ( sK2_SV3 @ SV18 )
= $false )
| ( ( ( sK6_SY32 @ SV7 )
= SV18 )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV7: $i,SV13: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV13 )
= $true )
| ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(156,plain,
! [SV7: $i,SV13: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV13 )
= $false )
| ( ( ( sK6_SY32 @ SV7 )
= SV13 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(157,plain,
( ( ( ~ ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
| ( sK2_SV3 @ sK3_SY30 ) )
| ~ ( ( sK2_SV3
!= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
| ~ ( sK2_SV3 @ sK3_SY30 ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[144]) ).
thf(159,plain,
! [SV9: $i] :
( ( ( ~ ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
| ( sK2_SV3 @ sK3_SY30 ) )
| ~ ( ( ( sK2_SV3 @ SV9 )
!= ( sK4_SY32 = SV9 ) )
| ~ ( sK2_SV3 @ sK3_SY30 ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[145]) ).
thf(161,plain,
( ( ( ~ ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
| ( sK2_SV3 @ sK3_SY30 ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(163,plain,
! [SV9: $i] :
( ( ( ~ ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
| ( sK2_SV3 @ sK3_SY30 ) ) )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(165,plain,
( ( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
| ( sK2_SV3 @ sK3_SY30 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(167,plain,
! [SV9: $i] :
( ( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
| ( sK2_SV3 @ sK3_SY30 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(169,plain,
( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(173,plain,
( ( ( ! [SV19: $i] :
( ( sK2_SV3 @ SV19 )
= ( sK4_SY32 = SV19 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[169]) ).
thf(174,plain,
( ( ( sK2_SV3
= ( ^ [SY36: $i] : ( sK4_SY32 = SY36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[169]) ).
thf(176,plain,
! [SV9: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) )
| ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[171]) ).
thf(177,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
= ( sK4_SY32 = SV9 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV20: $i] :
( ( ( ( sK2_SV3 @ SV20 )
= ( sK4_SY32 = SV20 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV9: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV20: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV20 )
| ( sK4_SY32 = SV20 ) )
| ~ ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[179]) ).
thf(186,plain,
! [SV20: $i] :
( ( ( ( sK2_SV3 @ SV20 )
= ( sK4_SY32 = SV20 ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV9: $i] :
( ( ( ( sK2_SV3 @ SV9 )
| ( sK4_SY32 = SV9 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV20: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV20 )
| ( sK4_SY32 = SV20 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(197,plain,
! [SV9: $i] :
( ( ( sK4_SY32 = SV9 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(200,plain,
! [SV20: $i] :
( ( ( ( sK2_SV3 @ SV20 )
| ( sK4_SY32 = SV20 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) )
= $false )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 )
| ( sK4_SY32 != SV9 ) )
= $false )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV20: $i] :
( ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(209,plain,
! [SV20: $i] :
( ( ( sK4_SY32 = SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) ) )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(213,plain,
! [SV9: $i] :
( ( ( sK4_SY32 != SV9 )
= $false )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(214,plain,
! [SV9: $i] :
( ( ( ~ ( sK2_SV3 @ SV9 ) )
= $false )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(218,plain,
! [SV20: $i] :
( ( ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) )
= $false )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(219,plain,
! [SV20: $i] :
( ( ( ~ ( sK2_SV3 @ SV20 )
| ( sK4_SY32 != SV20 ) )
= $false )
| ( ( sK4_SY32 = SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV9: $i] :
( ( ( sK4_SY32 = SV9 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(224,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ SV9 )
= $true )
| ( ( sK4_SY32 = SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(228,plain,
! [SV20: $i] :
( ( ( sK4_SY32 != SV20 )
= $false )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(229,plain,
! [SV20: $i] :
( ( ( ~ ( sK2_SV3 @ SV20 ) )
= $false )
| ( ( sK4_SY32 = SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(235,plain,
! [SV20: $i] :
( ( ( sK4_SY32 = SV20 )
= $true )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(236,plain,
! [SV20: $i] :
( ( ( sK2_SV3 @ SV20 )
= $true )
| ( ( sK4_SY32 = SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(240,plain,
! [SV22: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( ( sK2_SV3 @ SV22 )
= ( sK4_SY32 = SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(241,plain,
! [SV20: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV20 )
= $true )
| ( ( sK4_SY32 = SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[186]) ).
thf(242,plain,
! [SV20: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK4_SY32 = SV20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[186]) ).
thf(243,plain,
! [SV22: $i] :
( ( ( sK2_SV3 @ SV22 )
= $true )
| ( ( sK4_SY32 = SV22 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[240]) ).
thf(244,plain,
! [SV22: $i] :
( ( ( sK2_SV3 @ SV22 )
= $false )
| ( ( sK4_SY32 = SV22 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[240]) ).
thf(245,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $true )
| ( ( sK4_SY32 = SV9 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[177]) ).
thf(246,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK4_SY32 = SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[177]) ).
thf(247,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[236:[bind(SV20,$thf( sK4_SY32 ))]]) ).
thf(249,plain,
( ( ( sK2_SV3 @ sK4_SY32 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extuni,[status(esa)],[241:[bind(SV20,$thf( sK4_SY32 ))]]) ).
thf(250,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[243:[bind(SV22,$thf( sK4_SY32 ))]]) ).
thf(253,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[224:[bind(SV9,$thf( sK4_SY32 ))]]) ).
thf(255,plain,
( ( ( sK2_SV3 @ sK4_SY32 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extuni,[status(esa)],[245:[bind(SV9,$thf( sK4_SY32 ))]]) ).
thf(257,plain,
( ( ( ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[16]) ).
thf(258,plain,
( ( ( ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[16]) ).
thf(259,plain,
( ( ( ~ ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[16]) ).
thf(260,plain,
( ( ( ~ ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[16]) ).
thf(261,plain,
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[16]) ).
thf(262,plain,
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[16]) ).
thf(263,plain,
( ( ( ~ ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[16]) ).
thf(264,plain,
( ( ( ~ ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[16]) ).
thf(265,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(266,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(267,plain,
( ( ( ~ ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(268,plain,
( ( ( ~ ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(269,plain,
( ( ( ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(270,plain,
( ( ( ! [SY30: $i] :
~ ~ ( ~ ( sK2_SV3 @ SY30 )
| ~ ~ ~ ! [SY31: $i] :
~ ~ ( ~ ( ( SY31 != SY30 ) )
| ~ ( sK2_SV3 @ SY31 ) ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(271,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[149:[bind(SV17,$thf( sK4_SY32 ))]]) ).
thf(272,plain,
( ( ( sK2_SV3 @ sK4_SY32 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(extuni,[status(esa)],[151:[bind(SV9,$thf( sK4_SY32 ))]]) ).
thf(273,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[91:[bind(SV9,$thf( sK4_SY32 ))]]) ).
thf(275,plain,
! [SV7: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ ( sK6_SY32 @ SV7 ) )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV18,$thf( sK6_SY32 @ SV7 ))]]) ).
thf(276,plain,
! [SV10: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK14_E @ SV6 @ SV10 ) )
= $true )
| ( ( SV10
= ( sK14_E @ SV6 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[103]) ).
thf(277,plain,
! [SV10: $i,SV6: $i] :
( ( ( sK2_SV3 @ ( sK5_SY35 @ SV6 ) )
= $true )
| ( ( sK2_SV3 @ SV6 )
= $false )
| ( ( sK2_SV3 @ ( sK14_E @ SV6 @ SV10 ) )
= $false )
| ( ( SV10
= ( sK14_E @ SV6 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[103]) ).
thf(278,plain,
! [SV7: $i] :
( ( ( sK2_SV3 @ ( sK6_SY32 @ SV7 ) )
= $true )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV7 )
= $false ) ),
inference(extuni,[status(esa)],[155:[bind(SV13,$thf( sK6_SY32 @ SV7 ))]]) ).
thf(279,plain,
! [SV7: $i] :
( ( ( sK2_SV3 @ SV7 )
= $false )
| ( ( SV7 = sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ ( sK6_SY32 @ SV7 ) )
= $true ) ),
inference(extuni,[status(esa)],[139:[bind(SV13,$thf( sK6_SY32 @ SV7 ))]]) ).
thf(281,plain,
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(282,plain,
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( sK11_E @ SY42 )
| ~ ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( ( SY43 != SY42 ) )
| ~ ( sK11_E @ SY43 ) ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(283,plain,
( ( ( ~ ~ ( ~ ( sK11_E @ sK16_SY42 )
| ~ ~ ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[262]) ).
thf(284,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( sK11_E @ SV23 )
| ~ ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(285,plain,
( ( ( ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(286,plain,
( ( ( ~ ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(287,plain,
( ( ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(288,plain,
( ( ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(289,plain,
( ( ( ~ ~ ( ~ ( sK2_SV3 @ sK17_SY30 )
| ~ ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[270]) ).
thf(290,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ( sK2_SV3 @ SV24 )
| ~ ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(291,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(292,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(293,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(294,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(295,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( sK11_E @ SV25 )
| ~ ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(296,plain,
( ( ( ~ ~ ( ~ ( sK11_E @ sK18_SY42 )
| ~ ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[282]) ).
thf(297,plain,
( ( ( ~ ( ~ ( sK11_E @ sK16_SY42 )
| ~ ~ ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(298,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( sK11_E @ SV23 )
| ~ ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(299,plain,
( ( ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(300,plain,
( ( ( ~ ( sK11_E @ sK12_E )
| ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(301,plain,
( ( ( ~ ( sK11_E @ sK12_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(302,plain,
( ( ( ~ ( sK11_E @ sK12_E ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(303,plain,
( ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(304,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK17_SY30 )
| ~ ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(305,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ SV24 )
| ~ ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(306,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(307,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E )
| ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(308,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(309,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(310,plain,
( ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(311,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ( sK11_E @ SV25 )
| ~ ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(312,plain,
( ( ( ~ ( ~ ( sK11_E @ sK18_SY42 )
| ~ ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(313,plain,
( ( ( ~ ( sK11_E @ sK16_SY42 )
| ~ ~ ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(314,plain,
! [SV23: $i] :
( ( ( ~ ( sK11_E @ SV23 )
| ~ ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(315,plain,
( ( ( ~ ( sK11_E @ sK12_E ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(316,plain,
( ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(317,plain,
( ( ( ~ ( sK11_E @ sK12_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(318,plain,
( ( ( sK11_E @ sK12_E )
= $false )
| ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(319,plain,
( ( ( sK11_E @ sK12_E )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(320,plain,
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(321,plain,
( ( ( ~ ( sK2_SV3 @ sK17_SY30 )
| ~ ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(322,plain,
! [SV24: $i] :
( ( ( ~ ( sK2_SV3 @ SV24 )
| ~ ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(323,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(324,plain,
( ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(325,plain,
( ( ( ~ ( sK2_SV3 @ sK13_E ) )
= $true )
| ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(326,plain,
( ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(327,plain,
( ( ( sK2_SV3 @ sK13_E )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(328,plain,
( ( ( ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(329,plain,
! [SV25: $i] :
( ( ( ~ ( sK11_E @ SV25 )
| ~ ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(330,plain,
( ( ( ~ ( sK11_E @ sK18_SY42 )
| ~ ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(331,plain,
( ( ( ~ ( sK11_E @ sK16_SY42 ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(332,plain,
( ( ( ~ ~ ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(333,plain,
! [SV23: $i] :
( ( ( ~ ( sK11_E @ SV23 ) )
= $true )
| ( ( ~ ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(334,plain,
( ( ( sK11_E @ sK12_E )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(335,plain,
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(336,plain,
( ( ( sK11_E @ sK12_E )
= $false )
| ( ( ~ ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(337,plain,
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(338,plain,
( ( ( ! [SV26: $i] :
( ( sK11_E @ SV26 )
= ( sK12_E = SV26 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(339,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(340,plain,
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(341,plain,
( ( ( ~ ( sK2_SV3 @ sK17_SY30 ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(342,plain,
( ( ( ~ ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(343,plain,
! [SV24: $i] :
( ( ( ~ ( sK2_SV3 @ SV24 ) )
= $true )
| ( ( ~ ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(344,plain,
( ( ( sK2_SV3 @ sK13_E )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(345,plain,
( ( ( ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(346,plain,
( ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( ~ ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(347,plain,
( ( ( ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(348,plain,
( ( ( ! [SV27: $i] :
( ( sK2_SV3 @ SV27 )
= ( sK13_E = SV27 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[327]) ).
thf(349,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[327]) ).
thf(350,plain,
( ( ( ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(351,plain,
! [SV25: $i] :
( ( ( ~ ( sK11_E @ SV25 ) )
= $true )
| ( ( ~ ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(352,plain,
( ( ( ~ ( sK11_E @ sK18_SY42 ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(353,plain,
( ( ( ~ ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(354,plain,
( ( ( sK11_E @ sK16_SY42 )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(355,plain,
( ( ( ~ ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(356,plain,
! [SV23: $i] :
( ( ( sK11_E @ SV23 )
= $false )
| ( ( ~ ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(357,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(358,plain,
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(359,plain,
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(360,plain,
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(361,plain,
! [SV28: $i] :
( ( ( ( sK11_E @ SV28 )
= ( sK12_E = SV28 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(362,plain,
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(363,plain,
( ( ( sK2_SV3 @ sK17_SY30 )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(364,plain,
( ( ( ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(365,plain,
! [SV24: $i] :
( ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ~ ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(366,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(367,plain,
( ( ( ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(368,plain,
( ( ( ~ ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(369,plain,
( ( ( ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(370,plain,
! [SV29: $i] :
( ( ( ( sK2_SV3 @ SV29 )
= ( sK13_E = SV29 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(371,plain,
( ( ( ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(372,plain,
! [SV25: $i] :
( ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(373,plain,
( ( ( sK11_E @ sK18_SY42 )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(374,plain,
( ( ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(375,plain,
( ( ( sK11_E
!= ( ^ [SY54: $i] : ( sK19_SY40 = SY54 ) ) )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(376,plain,
( ( ( ~ ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(377,plain,
! [SV23: $i] :
( ( ( ~ ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(378,plain,
( ( ( ! [SV30: $i] :
( ( sK11_E @ SV30 )
= ( sK12_E = SV30 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[357]) ).
thf(379,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[357]) ).
thf(380,plain,
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(381,plain,
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(382,plain,
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(383,plain,
! [SV28: $i] :
( ( ( ~ ( ( sK11_E @ SV28 )
| ( sK12_E = SV28 ) )
| ~ ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[361]) ).
thf(384,plain,
! [SV28: $i] :
( ( ( ( sK11_E @ SV28 )
= ( sK12_E = SV28 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[361]) ).
thf(385,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( ( SV31 != sK12_E ) )
| ~ ( sK11_E @ SV31 ) ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(386,plain,
( ( ( sK2_SV3
!= ( ^ [SY55: $i] : ( sK20_SY32 = SY55 ) ) )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[363]) ).
thf(387,plain,
( ( ( ~ ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(388,plain,
! [SV24: $i] :
( ( ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(389,plain,
( ( ( ! [SV32: $i] :
( ( sK2_SV3 @ SV32 )
= ( sK13_E = SV32 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(390,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(391,plain,
( ( ( ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(392,plain,
( ( ( ~ ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(393,plain,
( ( ( ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(394,plain,
! [SV29: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV29 )
| ( sK13_E = SV29 ) )
| ~ ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(395,plain,
! [SV29: $i] :
( ( ( ( sK2_SV3 @ SV29 )
= ( sK13_E = SV29 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(396,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ( ( SV33 != sK13_E ) )
| ~ ( sK2_SV3 @ SV33 ) ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(397,plain,
! [SV25: $i] :
( ( ( ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(398,plain,
( ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(399,plain,
( ( ( ~ ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(400,plain,
( ( ( sK11_E
= ( ^ [SY54: $i] : ( sK19_SY40 = SY54 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(401,plain,
( ( ( ! [SY48: $i] :
~ ~ ( ~ ( ( SY48 != sK16_SY42 ) )
| ~ ( sK11_E @ SY48 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(402,plain,
! [SV23: $i] :
( ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(403,plain,
! [SV34: $i] :
( ( ( ( sK11_E @ SV34 )
= ( sK12_E = SV34 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(404,plain,
! [SV35: $i] :
( ( ( ~ ~ ( ~ ( ( SV35 != sK12_E ) )
| ~ ( sK11_E @ SV35 ) ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(405,plain,
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( ( SY45 != sK12_E ) )
| ~ ( sK11_E @ SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(406,plain,
( ( ( ~ ~ ( ~ ( ( sK21_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK21_SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(407,plain,
! [SV28: $i] :
( ( ( ~ ( ( sK11_E @ SV28 )
| ( sK12_E = SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(408,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( ( SV31 != sK12_E ) )
| ~ ( sK11_E @ SV31 ) ) )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(409,plain,
( ( ( sK2_SV3
= ( ^ [SY55: $i] : ( sK20_SY32 = SY55 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(410,plain,
( ( ( ! [SY50: $i] :
~ ~ ( ~ ( ( SY50 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SY50 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(411,plain,
! [SV24: $i] :
( ( ( ~ ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(412,plain,
! [SV36: $i] :
( ( ( ( sK2_SV3 @ SV36 )
= ( sK13_E = SV36 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(413,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( ( SV37 != sK13_E ) )
| ~ ( sK2_SV3 @ SV37 ) ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(414,plain,
( ( ( ! [SY47: $i] :
~ ~ ( ~ ( ( SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(415,plain,
( ( ( ~ ~ ( ~ ( ( sK22_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK22_SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[393]) ).
thf(416,plain,
! [SV29: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV29 )
| ( sK13_E = SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(417,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( ( SV33 != sK13_E ) )
| ~ ( sK2_SV3 @ SV33 ) ) )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(418,plain,
! [SV25: $i] :
( ( ( ~ ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(419,plain,
( ( ( sK11_E
!= ( ^ [SY56: $i] : ( sK23_SY40 = SY56 ) ) )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[398]) ).
thf(420,plain,
( ( ( ! [SY53: $i] :
~ ~ ( ~ ( ( SY53 != sK18_SY42 ) )
| ~ ( sK11_E @ SY53 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(421,plain,
( ( ( ! [SV38: $i] :
( ( sK11_E @ SV38 )
= ( sK19_SY40 = SV38 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[400]) ).
thf(422,plain,
( ( ( sK11_E
= ( ^ [SY54: $i] : ( sK19_SY40 = SY54 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[400]) ).
thf(423,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ( ( SV39 != sK16_SY42 ) )
| ~ ( sK11_E @ SV39 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(424,plain,
! [SV23: $i] :
( ( ( ! [SY49: $i] :
~ ~ ( ~ ( ( SY49 != SV23 ) )
| ~ ( sK11_E @ SY49 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(425,plain,
! [SV34: $i] :
( ( ( ~ ( ( sK11_E @ SV34 )
| ( sK12_E = SV34 ) )
| ~ ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(426,plain,
! [SV34: $i] :
( ( ( ( sK11_E @ SV34 )
= ( sK12_E = SV34 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(427,plain,
! [SV35: $i] :
( ( ( ~ ( ~ ( ( SV35 != sK12_E ) )
| ~ ( sK11_E @ SV35 ) ) )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(428,plain,
( ( ( ~ ~ ( ~ ( ( sK24_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK24_SY45 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[405]) ).
thf(429,plain,
( ( ( ~ ( ~ ( ( sK21_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK21_SY45 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(430,plain,
! [SV28: $i] :
( ( ( ( sK11_E @ SV28 )
| ( sK12_E = SV28 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(431,plain,
! [SV31: $i] :
( ( ( ~ ( ( SV31 != sK12_E ) )
| ~ ( sK11_E @ SV31 ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(432,plain,
( ( ( ! [SV40: $i] :
( ( sK2_SV3 @ SV40 )
= ( sK20_SY32 = SV40 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[409]) ).
thf(433,plain,
( ( ( sK2_SV3
= ( ^ [SY55: $i] : ( sK20_SY32 = SY55 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[409]) ).
thf(434,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ( ( SV41 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SV41 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(435,plain,
! [SV24: $i] :
( ( ( ! [SY51: $i] :
~ ~ ( ~ ( ( SY51 != SV24 ) )
| ~ ( sK2_SV3 @ SY51 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(436,plain,
! [SV36: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV36 )
| ( sK13_E = SV36 ) )
| ~ ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[412]) ).
thf(437,plain,
! [SV36: $i] :
( ( ( ( sK2_SV3 @ SV36 )
= ( sK13_E = SV36 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[412]) ).
thf(438,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( ( SV37 != sK13_E ) )
| ~ ( sK2_SV3 @ SV37 ) ) )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(439,plain,
( ( ( ~ ~ ( ~ ( ( sK25_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK25_SY47 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(440,plain,
( ( ( ~ ( ~ ( ( sK22_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK22_SY47 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(441,plain,
! [SV29: $i] :
( ( ( ( sK2_SV3 @ SV29 )
| ( sK13_E = SV29 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(442,plain,
! [SV33: $i] :
( ( ( ~ ( ( SV33 != sK13_E ) )
| ~ ( sK2_SV3 @ SV33 ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(443,plain,
! [SV25: $i] :
( ( ( ! [SY52: $i] :
~ ~ ( ~ ( ( SY52 != SV25 ) )
| ~ ( sK11_E @ SY52 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(444,plain,
( ( ( sK11_E
= ( ^ [SY56: $i] : ( sK23_SY40 = SY56 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(445,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ( ( SV42 != sK18_SY42 ) )
| ~ ( sK11_E @ SV42 ) ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(446,plain,
! [SV43: $i] :
( ( ( ( sK11_E @ SV43 )
= ( sK19_SY40 = SV43 ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(447,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ( ( SV39 != sK16_SY42 ) )
| ~ ( sK11_E @ SV39 ) ) )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(448,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK26_SY49 @ SV23 )
!= SV23 ) )
| ~ ( sK11_E @ ( sK26_SY49 @ SV23 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[424]) ).
thf(449,plain,
! [SV34: $i] :
( ( ( ~ ( ( sK11_E @ SV34 )
| ( sK12_E = SV34 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(450,plain,
! [SV35: $i] :
( ( ( ~ ( ( SV35 != sK12_E ) )
| ~ ( sK11_E @ SV35 ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(451,plain,
( ( ( ~ ( ~ ( ( sK24_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK24_SY45 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(452,plain,
( ( ( ~ ( ( sK21_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK21_SY45 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(453,plain,
! [SV28: $i] :
( ( ( sK11_E @ SV28 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(454,plain,
! [SV28: $i] :
( ( ( sK12_E = SV28 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(455,plain,
! [SV31: $i] :
( ( ( ~ ( ( SV31 != sK12_E ) ) )
= $true )
| ( ( ~ ( sK11_E @ SV31 ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(456,plain,
! [SV44: $i] :
( ( ( ( sK2_SV3 @ SV44 )
= ( sK20_SY32 = SV44 ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(457,plain,
! [SV41: $i] :
( ( ( ~ ( ~ ( ( SV41 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SV41 ) ) )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(458,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_SY51 @ SV24 )
!= SV24 ) )
| ~ ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(459,plain,
! [SV36: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV36 )
| ( sK13_E = SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(460,plain,
! [SV37: $i] :
( ( ( ~ ( ( SV37 != sK13_E ) )
| ~ ( sK2_SV3 @ SV37 ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(461,plain,
( ( ( ~ ( ~ ( ( sK25_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK25_SY47 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(462,plain,
( ( ( ~ ( ( sK22_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK22_SY47 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(463,plain,
! [SV29: $i] :
( ( ( sK2_SV3 @ SV29 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(464,plain,
! [SV29: $i] :
( ( ( sK13_E = SV29 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(465,plain,
! [SV33: $i] :
( ( ( ~ ( ( SV33 != sK13_E ) ) )
= $true )
| ( ( ~ ( sK2_SV3 @ SV33 ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(466,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK28_SY52 @ SV25 )
!= SV25 ) )
| ~ ( sK11_E @ ( sK28_SY52 @ SV25 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[443]) ).
thf(467,plain,
( ( ( ! [SV45: $i] :
( ( sK11_E @ SV45 )
= ( sK23_SY40 = SV45 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(468,plain,
( ( ( sK11_E
= ( ^ [SY56: $i] : ( sK23_SY40 = SY56 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(469,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ( ( SV42 != sK18_SY42 ) )
| ~ ( sK11_E @ SV42 ) ) )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(470,plain,
! [SV43: $i] :
( ( ( ~ ( ( sK11_E @ SV43 )
| ( sK19_SY40 = SV43 ) )
| ~ ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[446]) ).
thf(471,plain,
! [SV43: $i] :
( ( ( ( sK11_E @ SV43 )
= ( sK19_SY40 = SV43 ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[446]) ).
thf(472,plain,
! [SV39: $i] :
( ( ( ~ ( ( SV39 != sK16_SY42 ) )
| ~ ( sK11_E @ SV39 ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(473,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( ( ( sK26_SY49 @ SV23 )
!= SV23 ) )
| ~ ( sK11_E @ ( sK26_SY49 @ SV23 ) ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(474,plain,
! [SV34: $i] :
( ( ( ( sK11_E @ SV34 )
| ( sK12_E = SV34 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(475,plain,
! [SV35: $i] :
( ( ( ~ ( ( SV35 != sK12_E ) ) )
= $true )
| ( ( ~ ( sK11_E @ SV35 ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(476,plain,
( ( ( ~ ( ( sK24_SY45 != sK12_E ) )
| ~ ( sK11_E @ sK24_SY45 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(477,plain,
( ( ( ~ ( ( sK21_SY45 != sK12_E ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(478,plain,
( ( ( ~ ( sK11_E @ sK21_SY45 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(479,plain,
! [SV28: $i] :
( ( ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) )
= $false )
| ( ( sK11_E @ SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(480,plain,
! [SV28: $i] :
( ( ( ~ ( sK11_E @ SV28 )
| ( sK12_E != SV28 ) )
= $false )
| ( ( sK12_E = SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(481,plain,
! [SV31: $i] :
( ( ( SV31 != sK12_E )
= $false )
| ( ( ~ ( sK11_E @ SV31 ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(482,plain,
! [SV44: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV44 )
| ( sK20_SY32 = SV44 ) )
| ~ ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(483,plain,
! [SV44: $i] :
( ( ( ( sK2_SV3 @ SV44 )
= ( sK20_SY32 = SV44 ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(484,plain,
! [SV41: $i] :
( ( ( ~ ( ( SV41 != sK17_SY30 ) )
| ~ ( sK2_SV3 @ SV41 ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(485,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( ( ( sK27_SY51 @ SV24 )
!= SV24 ) )
| ~ ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(486,plain,
! [SV36: $i] :
( ( ( ( sK2_SV3 @ SV36 )
| ( sK13_E = SV36 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(487,plain,
! [SV37: $i] :
( ( ( ~ ( ( SV37 != sK13_E ) ) )
= $true )
| ( ( ~ ( sK2_SV3 @ SV37 ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(488,plain,
( ( ( ~ ( ( sK25_SY47 != sK13_E ) )
| ~ ( sK2_SV3 @ sK25_SY47 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(489,plain,
( ( ( ~ ( ( sK22_SY47 != sK13_E ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(490,plain,
( ( ( ~ ( sK2_SV3 @ sK22_SY47 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(491,plain,
! [SV29: $i] :
( ( ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) )
= $false )
| ( ( sK2_SV3 @ SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(492,plain,
! [SV29: $i] :
( ( ( ~ ( sK2_SV3 @ SV29 )
| ( sK13_E != SV29 ) )
= $false )
| ( ( sK13_E = SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(493,plain,
! [SV33: $i] :
( ( ( SV33 != sK13_E )
= $false )
| ( ( ~ ( sK2_SV3 @ SV33 ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(494,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ( ( ( sK28_SY52 @ SV25 )
!= SV25 ) )
| ~ ( sK11_E @ ( sK28_SY52 @ SV25 ) ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(495,plain,
! [SV46: $i] :
( ( ( ( sK11_E @ SV46 )
= ( sK23_SY40 = SV46 ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(496,plain,
! [SV42: $i] :
( ( ( ~ ( ( SV42 != sK18_SY42 ) )
| ~ ( sK11_E @ SV42 ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(497,plain,
! [SV43: $i] :
( ( ( ~ ( ( sK11_E @ SV43 )
| ( sK19_SY40 = SV43 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(498,plain,
! [SV39: $i] :
( ( ( ~ ( ( SV39 != sK16_SY42 ) ) )
= $true )
| ( ( ~ ( sK11_E @ SV39 ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(499,plain,
! [SV23: $i] :
( ( ( ~ ( ( ( sK26_SY49 @ SV23 )
!= SV23 ) )
| ~ ( sK11_E @ ( sK26_SY49 @ SV23 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(500,plain,
! [SV34: $i] :
( ( ( sK11_E @ SV34 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(501,plain,
! [SV34: $i] :
( ( ( sK12_E = SV34 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(502,plain,
! [SV35: $i] :
( ( ( SV35 != sK12_E )
= $false )
| ( ( ~ ( sK11_E @ SV35 ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(503,plain,
( ( ( ~ ( ( sK24_SY45 != sK12_E ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(504,plain,
( ( ( ~ ( sK11_E @ sK24_SY45 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(505,plain,
( ( ( sK21_SY45 != sK12_E )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(506,plain,
( ( ( sK11_E @ sK21_SY45 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(508,plain,
! [SV28: $i] :
( ( ( sK12_E != SV28 )
= $false )
| ( ( sK11_E @ SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(509,plain,
! [SV28: $i] :
( ( ( ~ ( sK11_E @ SV28 ) )
= $false )
| ( ( sK12_E = SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(511,plain,
! [SV31: $i] :
( ( ( SV31 = sK12_E )
= $true )
| ( ( ~ ( sK11_E @ SV31 ) )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(512,plain,
! [SV44: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV44 )
| ( sK20_SY32 = SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(513,plain,
! [SV41: $i] :
( ( ( ~ ( ( SV41 != sK17_SY30 ) ) )
= $true )
| ( ( ~ ( sK2_SV3 @ SV41 ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(514,plain,
! [SV24: $i] :
( ( ( ~ ( ( ( sK27_SY51 @ SV24 )
!= SV24 ) )
| ~ ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(515,plain,
! [SV36: $i] :
( ( ( sK2_SV3 @ SV36 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(516,plain,
! [SV36: $i] :
( ( ( sK13_E = SV36 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(517,plain,
! [SV37: $i] :
( ( ( SV37 != sK13_E )
= $false )
| ( ( ~ ( sK2_SV3 @ SV37 ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(518,plain,
( ( ( ~ ( ( sK25_SY47 != sK13_E ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(519,plain,
( ( ( ~ ( sK2_SV3 @ sK25_SY47 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(520,plain,
( ( ( sK22_SY47 != sK13_E )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(521,plain,
( ( ( sK2_SV3 @ sK22_SY47 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(523,plain,
! [SV29: $i] :
( ( ( sK13_E != SV29 )
= $false )
| ( ( sK2_SV3 @ SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(524,plain,
! [SV29: $i] :
( ( ( ~ ( sK2_SV3 @ SV29 ) )
= $false )
| ( ( sK13_E = SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(526,plain,
! [SV33: $i] :
( ( ( SV33 = sK13_E )
= $true )
| ( ( ~ ( sK2_SV3 @ SV33 ) )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(527,plain,
! [SV25: $i] :
( ( ( ~ ( ( ( sK28_SY52 @ SV25 )
!= SV25 ) )
| ~ ( sK11_E @ ( sK28_SY52 @ SV25 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(528,plain,
! [SV46: $i] :
( ( ( ~ ( ( sK11_E @ SV46 )
| ( sK23_SY40 = SV46 ) )
| ~ ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(529,plain,
! [SV46: $i] :
( ( ( ( sK11_E @ SV46 )
= ( sK23_SY40 = SV46 ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(530,plain,
! [SV42: $i] :
( ( ( ~ ( ( SV42 != sK18_SY42 ) ) )
= $true )
| ( ( ~ ( sK11_E @ SV42 ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(531,plain,
! [SV43: $i] :
( ( ( ( sK11_E @ SV43 )
| ( sK19_SY40 = SV43 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(532,plain,
! [SV39: $i] :
( ( ( SV39 != sK16_SY42 )
= $false )
| ( ( ~ ( sK11_E @ SV39 ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(533,plain,
! [SV23: $i] :
( ( ( ~ ( ( ( sK26_SY49 @ SV23 )
!= SV23 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(534,plain,
! [SV23: $i] :
( ( ( ~ ( sK11_E @ ( sK26_SY49 @ SV23 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(535,plain,
! [SV34: $i] :
( ( ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) )
= $false )
| ( ( sK11_E @ SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(536,plain,
! [SV34: $i] :
( ( ( ~ ( sK11_E @ SV34 )
| ( sK12_E != SV34 ) )
= $false )
| ( ( sK12_E = SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(537,plain,
! [SV35: $i] :
( ( ( SV35 = sK12_E )
= $true )
| ( ( ~ ( sK11_E @ SV35 ) )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(538,plain,
( ( ( sK24_SY45 != sK12_E )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(539,plain,
( ( ( sK11_E @ sK24_SY45 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(540,plain,
( ( ( sK21_SY45 = sK12_E )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(541,plain,
( ( ( ! [SV47: $i] :
( ( sK11_E @ SV47 )
= ( sK12_E = SV47 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[506]) ).
thf(542,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[506]) ).
thf(544,plain,
! [SV28: $i] :
( ( ( sK12_E = SV28 )
= $true )
| ( ( sK11_E @ SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(545,plain,
! [SV28: $i] :
( ( ( sK11_E @ SV28 )
= $true )
| ( ( sK12_E = SV28 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(547,plain,
! [SV31: $i] :
( ( ( sK11_E @ SV31 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(548,plain,
! [SV44: $i] :
( ( ( ( sK2_SV3 @ SV44 )
| ( sK20_SY32 = SV44 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(549,plain,
! [SV41: $i] :
( ( ( SV41 != sK17_SY30 )
= $false )
| ( ( ~ ( sK2_SV3 @ SV41 ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(550,plain,
! [SV24: $i] :
( ( ( ~ ( ( ( sK27_SY51 @ SV24 )
!= SV24 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(551,plain,
! [SV24: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(552,plain,
! [SV36: $i] :
( ( ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) )
= $false )
| ( ( sK2_SV3 @ SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(553,plain,
! [SV36: $i] :
( ( ( ~ ( sK2_SV3 @ SV36 )
| ( sK13_E != SV36 ) )
= $false )
| ( ( sK13_E = SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(554,plain,
! [SV37: $i] :
( ( ( SV37 = sK13_E )
= $true )
| ( ( ~ ( sK2_SV3 @ SV37 ) )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(555,plain,
( ( ( sK25_SY47 != sK13_E )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(556,plain,
( ( ( sK2_SV3 @ sK25_SY47 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(557,plain,
( ( ( sK22_SY47 = sK13_E )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(558,plain,
( ( ( ! [SV48: $i] :
( ( sK2_SV3 @ SV48 )
= ( sK13_E = SV48 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[521]) ).
thf(559,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[521]) ).
thf(561,plain,
! [SV29: $i] :
( ( ( sK13_E = SV29 )
= $true )
| ( ( sK2_SV3 @ SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(562,plain,
! [SV29: $i] :
( ( ( sK2_SV3 @ SV29 )
= $true )
| ( ( sK13_E = SV29 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(564,plain,
! [SV33: $i] :
( ( ( sK2_SV3 @ SV33 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(565,plain,
! [SV25: $i] :
( ( ( ~ ( ( ( sK28_SY52 @ SV25 )
!= SV25 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(566,plain,
! [SV25: $i] :
( ( ( ~ ( sK11_E @ ( sK28_SY52 @ SV25 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(567,plain,
! [SV46: $i] :
( ( ( ~ ( ( sK11_E @ SV46 )
| ( sK23_SY40 = SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(568,plain,
! [SV42: $i] :
( ( ( SV42 != sK18_SY42 )
= $false )
| ( ( ~ ( sK11_E @ SV42 ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(569,plain,
! [SV43: $i] :
( ( ( sK11_E @ SV43 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(570,plain,
! [SV43: $i] :
( ( ( sK19_SY40 = SV43 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) ) )
= $true )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(571,plain,
! [SV39: $i] :
( ( ( SV39 = sK16_SY42 )
= $true )
| ( ( ~ ( sK11_E @ SV39 ) )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(572,plain,
! [SV23: $i] :
( ( ( ( sK26_SY49 @ SV23 )
!= SV23 )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(573,plain,
! [SV23: $i] :
( ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(575,plain,
! [SV34: $i] :
( ( ( sK12_E != SV34 )
= $false )
| ( ( sK11_E @ SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(576,plain,
! [SV34: $i] :
( ( ( ~ ( sK11_E @ SV34 ) )
= $false )
| ( ( sK12_E = SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(578,plain,
! [SV35: $i] :
( ( ( sK11_E @ SV35 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(579,plain,
( ( ( sK24_SY45 = sK12_E )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E
!= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(580,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(581,plain,
( ( ( ! [SV49: $i] :
( ( sK11_E @ SV49 )
= ( sK12_E = SV49 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[540]) ).
thf(582,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[540]) ).
thf(583,plain,
( ( ( ( sK11_E @ sK29_SV47 )
= ( sK12_E = sK29_SV47 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[541]) ).
thf(584,plain,
! [SV31: $i] :
( ( ( ! [SV50: $i] :
( ( sK11_E @ SV50 )
= ( sK12_E = SV50 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(585,plain,
! [SV31: $i] :
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(586,plain,
! [SV44: $i] :
( ( ( sK2_SV3 @ SV44 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(587,plain,
! [SV44: $i] :
( ( ( sK20_SY32 = SV44 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) ) )
= $true )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(588,plain,
! [SV41: $i] :
( ( ( SV41 = sK17_SY30 )
= $true )
| ( ( ~ ( sK2_SV3 @ SV41 ) )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(589,plain,
! [SV24: $i] :
( ( ( ( sK27_SY51 @ SV24 )
!= SV24 )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(590,plain,
! [SV24: $i] :
( ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(592,plain,
! [SV36: $i] :
( ( ( sK13_E != SV36 )
= $false )
| ( ( sK2_SV3 @ SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[552]) ).
thf(593,plain,
! [SV36: $i] :
( ( ( ~ ( sK2_SV3 @ SV36 ) )
= $false )
| ( ( sK13_E = SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(595,plain,
! [SV37: $i] :
( ( ( sK2_SV3 @ SV37 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(596,plain,
( ( ( sK25_SY47 = sK13_E )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3
!= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(597,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(598,plain,
( ( ( ! [SV51: $i] :
( ( sK2_SV3 @ SV51 )
= ( sK13_E = SV51 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[557]) ).
thf(599,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[557]) ).
thf(600,plain,
( ( ( ( sK2_SV3 @ sK30_SV48 )
= ( sK13_E = sK30_SV48 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[558]) ).
thf(601,plain,
! [SV33: $i] :
( ( ( ! [SV52: $i] :
( ( sK2_SV3 @ SV52 )
= ( sK13_E = SV52 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(602,plain,
! [SV33: $i] :
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(603,plain,
! [SV25: $i] :
( ( ( ( sK28_SY52 @ SV25 )
!= SV25 )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(604,plain,
! [SV25: $i] :
( ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(605,plain,
! [SV46: $i] :
( ( ( ( sK11_E @ SV46 )
| ( sK23_SY40 = SV46 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(606,plain,
! [SV42: $i] :
( ( ( SV42 = sK18_SY42 )
= $true )
| ( ( ~ ( sK11_E @ SV42 ) )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(607,plain,
! [SV43: $i] :
( ( ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) )
= $false )
| ( ( sK11_E @ SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(608,plain,
! [SV43: $i] :
( ( ( ~ ( sK11_E @ SV43 )
| ( sK19_SY40 != SV43 ) )
= $false )
| ( ( sK19_SY40 = SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(609,plain,
! [SV39: $i] :
( ( ( sK11_E @ SV39 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(610,plain,
! [SV23: $i] :
( ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(611,plain,
! [SV23: $i,SV53: $i] :
( ( ( sK11_E
!= ( ^ [SY57: $i] : ( SV53 = SY57 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(613,plain,
! [SV34: $i] :
( ( ( sK12_E = SV34 )
= $true )
| ( ( sK11_E @ SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(614,plain,
! [SV34: $i] :
( ( ( sK11_E @ SV34 )
= $true )
| ( ( sK12_E = SV34 )
= $false )
| ( ( sK11_E @ sK12_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(616,plain,
! [SV35: $i] :
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(617,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(618,plain,
( ( ( ! [SV54: $i] :
( ( sK11_E @ SV54 )
= ( sK12_E = SV54 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[580]) ).
thf(619,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[580]) ).
thf(620,plain,
( ( ( ( sK11_E @ sK31_SV49 )
= ( sK12_E = sK31_SV49 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[581]) ).
thf(621,plain,
( ( ( ~ ( ( sK11_E @ sK29_SV47 )
| ( sK12_E = sK29_SV47 ) )
| ~ ( ~ ( sK11_E @ sK29_SV47 )
| ( sK12_E != sK29_SV47 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[583]) ).
thf(622,plain,
( ( ( ( sK11_E @ sK29_SV47 )
= ( sK12_E = sK29_SV47 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[583]) ).
thf(623,plain,
! [SV31: $i,SV55: $i] :
( ( ( ( sK11_E @ SV55 )
= ( sK12_E = SV55 ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(624,plain,
! [SV44: $i] :
( ( ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) )
= $false )
| ( ( sK2_SV3 @ SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(625,plain,
! [SV44: $i] :
( ( ( ~ ( sK2_SV3 @ SV44 )
| ( sK20_SY32 != SV44 ) )
= $false )
| ( ( sK20_SY32 = SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(626,plain,
! [SV41: $i] :
( ( ( sK2_SV3 @ SV41 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(627,plain,
! [SV24: $i] :
( ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ! [SY32: $i] :
( sK2_SV3
!= ( ^ [SX2: $i] : ( SY32 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(628,plain,
! [SV24: $i,SV56: $i] :
( ( ( sK2_SV3
!= ( ^ [SY58: $i] : ( SV56 = SY58 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(630,plain,
! [SV36: $i] :
( ( ( sK13_E = SV36 )
= $true )
| ( ( sK2_SV3 @ SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(631,plain,
! [SV36: $i] :
( ( ( sK2_SV3 @ SV36 )
= $true )
| ( ( sK13_E = SV36 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(633,plain,
! [SV37: $i] :
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(634,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(635,plain,
( ( ( ! [SV57: $i] :
( ( sK2_SV3 @ SV57 )
= ( sK13_E = SV57 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[597]) ).
thf(636,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[597]) ).
thf(637,plain,
( ( ( ( sK2_SV3 @ sK32_SV51 )
= ( sK13_E = sK32_SV51 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[598]) ).
thf(638,plain,
( ( ( ~ ( ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E = sK30_SV48 ) )
| ~ ( ~ ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E != sK30_SV48 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[600]) ).
thf(639,plain,
( ( ( ( sK2_SV3 @ sK30_SV48 )
= ( sK13_E = sK30_SV48 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[600]) ).
thf(640,plain,
! [SV33: $i,SV58: $i] :
( ( ( ( sK2_SV3 @ SV58 )
= ( sK13_E = SV58 ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(641,plain,
! [SV25: $i] :
( ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(642,plain,
! [SV25: $i] :
( ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(643,plain,
! [SV46: $i] :
( ( ( sK11_E @ SV46 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(644,plain,
! [SV46: $i] :
( ( ( sK23_SY40 = SV46 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) ) )
= $true )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(645,plain,
! [SV42: $i] :
( ( ( sK11_E @ SV42 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( ~ ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(647,plain,
! [SV43: $i] :
( ( ( sK19_SY40 != SV43 )
= $false )
| ( ( sK11_E @ SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(648,plain,
! [SV43: $i] :
( ( ( ~ ( sK11_E @ SV43 ) )
= $false )
| ( ( sK19_SY40 = SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(650,plain,
! [SV39: $i] :
( ( ( sK11_E
!= ( ^ [SY59: $i] :
( ( sK33_SY40 @ SV39 )
= SY59 ) ) )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[609]) ).
thf(651,plain,
! [SV23: $i,SV59: $i] :
( ( ( sK11_E
!= ( ^ [SY60: $i] : ( SV59 = SY60 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(652,plain,
! [SV23: $i,SV53: $i] :
( ( ( sK11_E
= ( ^ [SY57: $i] : ( SV53 = SY57 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(653,plain,
! [SV35: $i] :
( ( ( ! [SV60: $i] :
( ( sK11_E @ SV60 )
= ( sK12_E = SV60 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(654,plain,
! [SV35: $i] :
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(655,plain,
( ( ( ! [SV61: $i] :
( ( sK11_E @ SV61 )
= ( sK12_E = SV61 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[617]) ).
thf(656,plain,
( ( ( sK11_E
= ( ^ [SY44: $i] : ( sK12_E = SY44 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[617]) ).
thf(657,plain,
( ( ( ( sK11_E @ sK34_SV54 )
= ( sK12_E = sK34_SV54 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[618]) ).
thf(658,plain,
( ( ( ~ ( ( sK11_E @ sK31_SV49 )
| ( sK12_E = sK31_SV49 ) )
| ~ ( ~ ( sK11_E @ sK31_SV49 )
| ( sK12_E != sK31_SV49 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[620]) ).
thf(659,plain,
( ( ( ( sK11_E @ sK31_SV49 )
= ( sK12_E = sK31_SV49 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[620]) ).
thf(660,plain,
( ( ( ~ ( ( sK11_E @ sK29_SV47 )
| ( sK12_E = sK29_SV47 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(661,plain,
( ( ( ~ ( ~ ( sK11_E @ sK29_SV47 )
| ( sK12_E != sK29_SV47 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(662,plain,
! [SV31: $i,SV55: $i] :
( ( ( ~ ( ( sK11_E @ SV55 )
| ( sK12_E = SV55 ) )
| ~ ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(663,plain,
! [SV31: $i,SV55: $i] :
( ( ( ( sK11_E @ SV55 )
= ( sK12_E = SV55 ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(665,plain,
! [SV44: $i] :
( ( ( sK20_SY32 != SV44 )
= $false )
| ( ( sK2_SV3 @ SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(666,plain,
! [SV44: $i] :
( ( ( ~ ( sK2_SV3 @ SV44 ) )
= $false )
| ( ( sK20_SY32 = SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(668,plain,
! [SV41: $i] :
( ( ( sK2_SV3
!= ( ^ [SY61: $i] :
( ( sK35_SY32 @ SV41 )
= SY61 ) ) )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[626]) ).
thf(669,plain,
! [SV24: $i,SV62: $i] :
( ( ( sK2_SV3
!= ( ^ [SY62: $i] : ( SV62 = SY62 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(670,plain,
! [SV24: $i,SV56: $i] :
( ( ( sK2_SV3
= ( ^ [SY58: $i] : ( SV56 = SY58 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(671,plain,
! [SV37: $i] :
( ( ( ! [SV63: $i] :
( ( sK2_SV3 @ SV63 )
= ( sK13_E = SV63 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(672,plain,
! [SV37: $i] :
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(673,plain,
( ( ( ! [SV64: $i] :
( ( sK2_SV3 @ SV64 )
= ( sK13_E = SV64 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[634]) ).
thf(674,plain,
( ( ( sK2_SV3
= ( ^ [SY46: $i] : ( sK13_E = SY46 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[634]) ).
thf(675,plain,
( ( ( ( sK2_SV3 @ sK36_SV57 )
= ( sK13_E = sK36_SV57 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[635]) ).
thf(676,plain,
( ( ( ~ ( ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E = sK32_SV51 ) )
| ~ ( ~ ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E != sK32_SV51 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[637]) ).
thf(677,plain,
( ( ( ( sK2_SV3 @ sK32_SV51 )
= ( sK13_E = sK32_SV51 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[637]) ).
thf(678,plain,
( ( ( ~ ( ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E = sK30_SV48 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(679,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E != sK30_SV48 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(680,plain,
! [SV33: $i,SV58: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV58 )
| ( sK13_E = SV58 ) )
| ~ ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(681,plain,
! [SV33: $i,SV58: $i] :
( ( ( ( sK2_SV3 @ SV58 )
= ( sK13_E = SV58 ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(682,plain,
! [SV25: $i] :
( ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(683,plain,
! [SV25: $i,SV65: $i] :
( ( ( sK11_E
!= ( ^ [SY63: $i] : ( SV65 = SY63 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(684,plain,
! [SV46: $i] :
( ( ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) )
= $false )
| ( ( sK11_E @ SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(685,plain,
! [SV46: $i] :
( ( ( ~ ( sK11_E @ SV46 )
| ( sK23_SY40 != SV46 ) )
= $false )
| ( ( sK23_SY40 = SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(686,plain,
! [SV42: $i] :
( ( ( ! [SY40: $i] :
( sK11_E
!= ( ^ [SX2: $i] : ( SY40 = SX2 ) ) ) )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(688,plain,
! [SV43: $i] :
( ( ( sK19_SY40 = SV43 )
= $true )
| ( ( sK11_E @ SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(689,plain,
! [SV43: $i] :
( ( ( sK11_E @ SV43 )
= $true )
| ( ( sK19_SY40 = SV43 )
= $false )
| ( ( sK11_E @ sK16_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(691,plain,
! [SV39: $i] :
( ( ( sK11_E
= ( ^ [SY59: $i] :
( ( sK33_SY40 @ SV39 )
= SY59 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(692,plain,
! [SV23: $i,SV59: $i] :
( ( ( sK11_E
= ( ^ [SY60: $i] : ( SV59 = SY60 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(693,plain,
! [SV23: $i,SV53: $i] :
( ( ( ! [SV66: $i] :
( ( sK11_E @ SV66 )
= ( SV53 = SV66 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[652]) ).
thf(694,plain,
! [SV23: $i,SV53: $i] :
( ( ( sK11_E
= ( ^ [SY57: $i] : ( SV53 = SY57 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[652]) ).
thf(695,plain,
! [SV35: $i,SV67: $i] :
( ( ( ( sK11_E @ SV67 )
= ( sK12_E = SV67 ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(696,plain,
( ( ( ( sK11_E @ sK37_SV61 )
= ( sK12_E = sK37_SV61 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[655]) ).
thf(697,plain,
( ( ( ~ ( ( sK11_E @ sK34_SV54 )
| ( sK12_E = sK34_SV54 ) )
| ~ ( ~ ( sK11_E @ sK34_SV54 )
| ( sK12_E != sK34_SV54 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(698,plain,
( ( ( ( sK11_E @ sK34_SV54 )
= ( sK12_E = sK34_SV54 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(699,plain,
( ( ( ~ ( ( sK11_E @ sK31_SV49 )
| ( sK12_E = sK31_SV49 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(700,plain,
( ( ( ~ ( ~ ( sK11_E @ sK31_SV49 )
| ( sK12_E != sK31_SV49 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(701,plain,
( ( ( ( sK11_E @ sK29_SV47 )
| ( sK12_E = sK29_SV47 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(702,plain,
( ( ( ~ ( sK11_E @ sK29_SV47 )
| ( sK12_E != sK29_SV47 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(703,plain,
! [SV31: $i,SV55: $i] :
( ( ( ~ ( ( sK11_E @ SV55 )
| ( sK12_E = SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(705,plain,
! [SV44: $i] :
( ( ( sK20_SY32 = SV44 )
= $true )
| ( ( sK2_SV3 @ SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(706,plain,
! [SV44: $i] :
( ( ( sK2_SV3 @ SV44 )
= $true )
| ( ( sK20_SY32 = SV44 )
= $false )
| ( ( sK2_SV3 @ sK17_SY30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(708,plain,
! [SV41: $i] :
( ( ( sK2_SV3
= ( ^ [SY61: $i] :
( ( sK35_SY32 @ SV41 )
= SY61 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(709,plain,
! [SV24: $i,SV62: $i] :
( ( ( sK2_SV3
= ( ^ [SY62: $i] : ( SV62 = SY62 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(710,plain,
! [SV24: $i,SV56: $i] :
( ( ( ! [SV68: $i] :
( ( sK2_SV3 @ SV68 )
= ( SV56 = SV68 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[670]) ).
thf(711,plain,
! [SV24: $i,SV56: $i] :
( ( ( sK2_SV3
= ( ^ [SY58: $i] : ( SV56 = SY58 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[670]) ).
thf(712,plain,
! [SV37: $i,SV69: $i] :
( ( ( ( sK2_SV3 @ SV69 )
= ( sK13_E = SV69 ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(713,plain,
( ( ( ( sK2_SV3 @ sK38_SV64 )
= ( sK13_E = sK38_SV64 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[673]) ).
thf(714,plain,
( ( ( ~ ( ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E = sK36_SV57 ) )
| ~ ( ~ ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E != sK36_SV57 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[675]) ).
thf(715,plain,
( ( ( ( sK2_SV3 @ sK36_SV57 )
= ( sK13_E = sK36_SV57 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[675]) ).
thf(716,plain,
( ( ( ~ ( ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E = sK32_SV51 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(717,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E != sK32_SV51 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(718,plain,
( ( ( ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E = sK30_SV48 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(719,plain,
( ( ( ~ ( sK2_SV3 @ sK30_SV48 )
| ( sK13_E != sK30_SV48 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(720,plain,
! [SV33: $i,SV58: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV58 )
| ( sK13_E = SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(721,plain,
! [SV25: $i,SV70: $i] :
( ( ( sK11_E
!= ( ^ [SY64: $i] : ( SV70 = SY64 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(722,plain,
! [SV25: $i,SV65: $i] :
( ( ( sK11_E
= ( ^ [SY63: $i] : ( SV65 = SY63 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(724,plain,
! [SV46: $i] :
( ( ( sK23_SY40 != SV46 )
= $false )
| ( ( sK11_E @ SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(725,plain,
! [SV46: $i] :
( ( ( ~ ( sK11_E @ SV46 ) )
= $false )
| ( ( sK23_SY40 = SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(727,plain,
! [SV42: $i] :
( ( ( sK11_E
!= ( ^ [SY65: $i] :
( ( sK39_SY40 @ SV42 )
= SY65 ) ) )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[686]) ).
thf(728,plain,
! [SV39: $i] :
( ( ( ! [SV71: $i] :
( ( sK11_E @ SV71 )
= ( ( sK33_SY40 @ SV39 )
= SV71 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[691]) ).
thf(729,plain,
! [SV39: $i] :
( ( ( sK11_E
= ( ^ [SY59: $i] :
( ( sK33_SY40 @ SV39 )
= SY59 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[691]) ).
thf(730,plain,
! [SV23: $i,SV59: $i] :
( ( ( ! [SV72: $i] :
( ( sK11_E @ SV72 )
= ( SV59 = SV72 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[692]) ).
thf(731,plain,
! [SV23: $i,SV59: $i] :
( ( ( sK11_E
= ( ^ [SY60: $i] : ( SV59 = SY60 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[692]) ).
thf(732,plain,
! [SV53: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
= ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[693]) ).
thf(733,plain,
! [SV35: $i,SV67: $i] :
( ( ( ~ ( ( sK11_E @ SV67 )
| ( sK12_E = SV67 ) )
| ~ ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(734,plain,
! [SV35: $i,SV67: $i] :
( ( ( ( sK11_E @ SV67 )
= ( sK12_E = SV67 ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(735,plain,
( ( ( ~ ( ( sK11_E @ sK37_SV61 )
| ( sK12_E = sK37_SV61 ) )
| ~ ( ~ ( sK11_E @ sK37_SV61 )
| ( sK12_E != sK37_SV61 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[696]) ).
thf(736,plain,
( ( ( ( sK11_E @ sK37_SV61 )
= ( sK12_E = sK37_SV61 ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[696]) ).
thf(737,plain,
( ( ( ~ ( ( sK11_E @ sK34_SV54 )
| ( sK12_E = sK34_SV54 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(738,plain,
( ( ( ~ ( ~ ( sK11_E @ sK34_SV54 )
| ( sK12_E != sK34_SV54 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(739,plain,
( ( ( ( sK11_E @ sK31_SV49 )
| ( sK12_E = sK31_SV49 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(740,plain,
( ( ( ~ ( sK11_E @ sK31_SV49 )
| ( sK12_E != sK31_SV49 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(741,plain,
( ( ( sK11_E @ sK29_SV47 )
= $true )
| ( ( sK12_E = sK29_SV47 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(742,plain,
( ( ( ~ ( sK11_E @ sK29_SV47 ) )
= $true )
| ( ( sK12_E != sK29_SV47 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(743,plain,
! [SV31: $i,SV55: $i] :
( ( ( ( sK11_E @ SV55 )
| ( sK12_E = SV55 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(744,plain,
! [SV41: $i] :
( ( ( ! [SV73: $i] :
( ( sK2_SV3 @ SV73 )
= ( ( sK35_SY32 @ SV41 )
= SV73 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(745,plain,
! [SV41: $i] :
( ( ( sK2_SV3
= ( ^ [SY61: $i] :
( ( sK35_SY32 @ SV41 )
= SY61 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(746,plain,
! [SV24: $i,SV62: $i] :
( ( ( ! [SV74: $i] :
( ( sK2_SV3 @ SV74 )
= ( SV62 = SV74 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[709]) ).
thf(747,plain,
! [SV24: $i,SV62: $i] :
( ( ( sK2_SV3
= ( ^ [SY62: $i] : ( SV62 = SY62 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[709]) ).
thf(748,plain,
! [SV56: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
= ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[710]) ).
thf(749,plain,
! [SV37: $i,SV69: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV69 )
| ( sK13_E = SV69 ) )
| ~ ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(750,plain,
! [SV37: $i,SV69: $i] :
( ( ( ( sK2_SV3 @ SV69 )
= ( sK13_E = SV69 ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(751,plain,
( ( ( ~ ( ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E = sK38_SV64 ) )
| ~ ( ~ ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E != sK38_SV64 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[713]) ).
thf(752,plain,
( ( ( ( sK2_SV3 @ sK38_SV64 )
= ( sK13_E = sK38_SV64 ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[713]) ).
thf(753,plain,
( ( ( ~ ( ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E = sK36_SV57 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(754,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E != sK36_SV57 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(755,plain,
( ( ( ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E = sK32_SV51 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(756,plain,
( ( ( ~ ( sK2_SV3 @ sK32_SV51 )
| ( sK13_E != sK32_SV51 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(757,plain,
( ( ( sK2_SV3 @ sK30_SV48 )
= $true )
| ( ( sK13_E = sK30_SV48 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(758,plain,
( ( ( ~ ( sK2_SV3 @ sK30_SV48 ) )
= $true )
| ( ( sK13_E != sK30_SV48 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(759,plain,
! [SV33: $i,SV58: $i] :
( ( ( ( sK2_SV3 @ SV58 )
| ( sK13_E = SV58 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(760,plain,
! [SV25: $i,SV70: $i] :
( ( ( sK11_E
= ( ^ [SY64: $i] : ( SV70 = SY64 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(761,plain,
! [SV25: $i,SV65: $i] :
( ( ( ! [SV75: $i] :
( ( sK11_E @ SV75 )
= ( SV65 = SV75 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[722]) ).
thf(762,plain,
! [SV25: $i,SV65: $i] :
( ( ( sK11_E
= ( ^ [SY63: $i] : ( SV65 = SY63 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[722]) ).
thf(764,plain,
! [SV46: $i] :
( ( ( sK23_SY40 = SV46 )
= $true )
| ( ( sK11_E @ SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(765,plain,
! [SV46: $i] :
( ( ( sK11_E @ SV46 )
= $true )
| ( ( sK23_SY40 = SV46 )
= $false )
| ( ( sK11_E @ sK18_SY42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(767,plain,
! [SV42: $i] :
( ( ( sK11_E
= ( ^ [SY65: $i] :
( ( sK39_SY40 @ SV42 )
= SY65 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(768,plain,
! [SV39: $i,SV76: $i] :
( ( ( ( sK11_E @ SV76 )
= ( ( sK33_SY40 @ SV39 )
= SV76 ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(769,plain,
! [SV59: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
= ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[730]) ).
thf(770,plain,
! [SV53: $i,SV23: $i] :
( ( ( ~ ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) ) )
| ~ ( ~ ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
!= ( sK40_SV66 @ SV23 @ SV53 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[732]) ).
thf(771,plain,
! [SV53: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
= ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[732]) ).
thf(772,plain,
! [SV35: $i,SV67: $i] :
( ( ( ~ ( ( sK11_E @ SV67 )
| ( sK12_E = SV67 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(773,plain,
( ( ( ~ ( ( sK11_E @ sK37_SV61 )
| ( sK12_E = sK37_SV61 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(774,plain,
( ( ( ~ ( ~ ( sK11_E @ sK37_SV61 )
| ( sK12_E != sK37_SV61 ) ) )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(775,plain,
( ( ( ( sK11_E @ sK34_SV54 )
| ( sK12_E = sK34_SV54 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(776,plain,
( ( ( ~ ( sK11_E @ sK34_SV54 )
| ( sK12_E != sK34_SV54 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(777,plain,
( ( ( sK11_E @ sK31_SV49 )
= $true )
| ( ( sK12_E = sK31_SV49 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(778,plain,
( ( ( ~ ( sK11_E @ sK31_SV49 ) )
= $true )
| ( ( sK12_E != sK31_SV49 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(779,plain,
( ( ( sK11_E @ sK29_SV47 )
= $false )
| ( ( sK12_E != sK29_SV47 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(780,plain,
! [SV31: $i,SV55: $i] :
( ( ( sK11_E @ SV55 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(781,plain,
! [SV31: $i,SV55: $i] :
( ( ( sK12_E = SV55 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) ) )
= $true )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(782,plain,
! [SV41: $i,SV77: $i] :
( ( ( ( sK2_SV3 @ SV77 )
= ( ( sK35_SY32 @ SV41 )
= SV77 ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(783,plain,
! [SV62: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
= ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[746]) ).
thf(784,plain,
! [SV56: $i,SV24: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) ) )
| ~ ( ~ ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
!= ( sK41_SV68 @ SV24 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[748]) ).
thf(785,plain,
! [SV56: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
= ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[748]) ).
thf(786,plain,
! [SV37: $i,SV69: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV69 )
| ( sK13_E = SV69 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(787,plain,
( ( ( ~ ( ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E = sK38_SV64 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(788,plain,
( ( ( ~ ( ~ ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E != sK38_SV64 ) ) )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(789,plain,
( ( ( ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E = sK36_SV57 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(790,plain,
( ( ( ~ ( sK2_SV3 @ sK36_SV57 )
| ( sK13_E != sK36_SV57 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(791,plain,
( ( ( sK2_SV3 @ sK32_SV51 )
= $true )
| ( ( sK13_E = sK32_SV51 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(792,plain,
( ( ( ~ ( sK2_SV3 @ sK32_SV51 ) )
= $true )
| ( ( sK13_E != sK32_SV51 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(793,plain,
( ( ( sK2_SV3 @ sK30_SV48 )
= $false )
| ( ( sK13_E != sK30_SV48 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(794,plain,
! [SV33: $i,SV58: $i] :
( ( ( sK2_SV3 @ SV58 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(795,plain,
! [SV33: $i,SV58: $i] :
( ( ( sK13_E = SV58 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) ) )
= $true )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(796,plain,
! [SV25: $i,SV70: $i] :
( ( ( ! [SV78: $i] :
( ( sK11_E @ SV78 )
= ( SV70 = SV78 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[760]) ).
thf(797,plain,
! [SV25: $i,SV70: $i] :
( ( ( sK11_E
= ( ^ [SY64: $i] : ( SV70 = SY64 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[760]) ).
thf(798,plain,
! [SV65: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
= ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[761]) ).
thf(799,plain,
! [SV42: $i] :
( ( ( ! [SV79: $i] :
( ( sK11_E @ SV79 )
= ( ( sK39_SY40 @ SV42 )
= SV79 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[767]) ).
thf(800,plain,
! [SV42: $i] :
( ( ( sK11_E
= ( ^ [SY65: $i] :
( ( sK39_SY40 @ SV42 )
= SY65 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[767]) ).
thf(801,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
= SV76 ) )
| ~ ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(802,plain,
! [SV39: $i,SV76: $i] :
( ( ( ( sK11_E @ SV76 )
= ( ( sK33_SY40 @ SV39 )
= SV76 ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(803,plain,
! [SV59: $i,SV23: $i] :
( ( ( ~ ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) ) )
| ~ ( ~ ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
!= ( sK42_SV72 @ SV23 @ SV59 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[769]) ).
thf(804,plain,
! [SV59: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
= ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[769]) ).
thf(805,plain,
! [SV53: $i,SV23: $i] :
( ( ( ~ ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(806,plain,
! [SV53: $i,SV23: $i] :
( ( ( ~ ( ~ ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
!= ( sK40_SV66 @ SV23 @ SV53 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(807,plain,
! [SV35: $i,SV67: $i] :
( ( ( ( sK11_E @ SV67 )
| ( sK12_E = SV67 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(808,plain,
( ( ( ( sK11_E @ sK37_SV61 )
| ( sK12_E = sK37_SV61 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(809,plain,
( ( ( ~ ( sK11_E @ sK37_SV61 )
| ( sK12_E != sK37_SV61 ) )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(810,plain,
( ( ( sK11_E @ sK34_SV54 )
= $true )
| ( ( sK12_E = sK34_SV54 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(811,plain,
( ( ( ~ ( sK11_E @ sK34_SV54 ) )
= $true )
| ( ( sK12_E != sK34_SV54 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(812,plain,
( ( ( sK11_E @ sK31_SV49 )
= $false )
| ( ( sK12_E != sK31_SV49 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(813,plain,
( ( ( sK12_E = sK29_SV47 )
= $false )
| ( ( sK11_E @ sK29_SV47 )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK21_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(814,plain,
! [SV31: $i,SV55: $i] :
( ( ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) )
= $false )
| ( ( sK11_E @ SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(815,plain,
! [SV31: $i,SV55: $i] :
( ( ( ~ ( sK11_E @ SV55 )
| ( sK12_E != SV55 ) )
= $false )
| ( ( sK12_E = SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(816,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
= SV77 ) )
| ~ ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[782]) ).
thf(817,plain,
! [SV41: $i,SV77: $i] :
( ( ( ( sK2_SV3 @ SV77 )
= ( ( sK35_SY32 @ SV41 )
= SV77 ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[782]) ).
thf(818,plain,
! [SV62: $i,SV24: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) ) )
| ~ ( ~ ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
!= ( sK43_SV74 @ SV24 @ SV62 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[783]) ).
thf(819,plain,
! [SV62: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
= ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[783]) ).
thf(820,plain,
! [SV56: $i,SV24: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(821,plain,
! [SV56: $i,SV24: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
!= ( sK41_SV68 @ SV24 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(822,plain,
! [SV37: $i,SV69: $i] :
( ( ( ( sK2_SV3 @ SV69 )
| ( sK13_E = SV69 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(823,plain,
( ( ( ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E = sK38_SV64 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(824,plain,
( ( ( ~ ( sK2_SV3 @ sK38_SV64 )
| ( sK13_E != sK38_SV64 ) )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(825,plain,
( ( ( sK2_SV3 @ sK36_SV57 )
= $true )
| ( ( sK13_E = sK36_SV57 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(826,plain,
( ( ( ~ ( sK2_SV3 @ sK36_SV57 ) )
= $true )
| ( ( sK13_E != sK36_SV57 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(827,plain,
( ( ( sK2_SV3 @ sK32_SV51 )
= $false )
| ( ( sK13_E != sK32_SV51 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(828,plain,
( ( ( sK13_E = sK30_SV48 )
= $false )
| ( ( sK2_SV3 @ sK30_SV48 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK22_SY47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(829,plain,
! [SV33: $i,SV58: $i] :
( ( ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) )
= $false )
| ( ( sK2_SV3 @ SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(830,plain,
! [SV33: $i,SV58: $i] :
( ( ( ~ ( sK2_SV3 @ SV58 )
| ( sK13_E != SV58 ) )
= $false )
| ( ( sK13_E = SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(831,plain,
! [SV70: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
= ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[796]) ).
thf(832,plain,
! [SV65: $i,SV25: $i] :
( ( ( ~ ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) ) )
| ~ ( ~ ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
!= ( sK44_SV75 @ SV25 @ SV65 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[798]) ).
thf(833,plain,
! [SV65: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
= ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[798]) ).
thf(834,plain,
! [SV42: $i,SV80: $i] :
( ( ( ( sK11_E @ SV80 )
= ( ( sK39_SY40 @ SV42 )
= SV80 ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(835,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
= SV76 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(836,plain,
! [SV59: $i,SV23: $i] :
( ( ( ~ ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(837,plain,
! [SV59: $i,SV23: $i] :
( ( ( ~ ( ~ ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
!= ( sK42_SV72 @ SV23 @ SV59 ) ) ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(838,plain,
! [SV53: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(839,plain,
! [SV53: $i,SV23: $i] :
( ( ( ~ ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
| ( SV53
!= ( sK40_SV66 @ SV23 @ SV53 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(840,plain,
! [SV35: $i,SV67: $i] :
( ( ( sK11_E @ SV67 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(841,plain,
! [SV35: $i,SV67: $i] :
( ( ( sK12_E = SV67 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) ) )
= $true )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(842,plain,
( ( ( sK11_E @ sK37_SV61 )
= $true )
| ( ( sK12_E = sK37_SV61 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(843,plain,
( ( ( ~ ( sK11_E @ sK37_SV61 ) )
= $true )
| ( ( sK12_E != sK37_SV61 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(844,plain,
( ( ( sK11_E @ sK34_SV54 )
= $false )
| ( ( sK12_E != sK34_SV54 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(845,plain,
( ( ( sK12_E = sK31_SV49 )
= $false )
| ( ( sK11_E @ sK31_SV49 )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK21_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(847,plain,
! [SV31: $i,SV55: $i] :
( ( ( sK12_E != SV55 )
= $false )
| ( ( sK11_E @ SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(848,plain,
! [SV31: $i,SV55: $i] :
( ( ( ~ ( sK11_E @ SV55 ) )
= $false )
| ( ( sK12_E = SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(850,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
= SV77 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(851,plain,
! [SV62: $i,SV24: $i] :
( ( ( ~ ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(852,plain,
! [SV62: $i,SV24: $i] :
( ( ( ~ ( ~ ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
!= ( sK43_SV74 @ SV24 @ SV62 ) ) ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(853,plain,
! [SV56: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(854,plain,
! [SV56: $i,SV24: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
| ( SV56
!= ( sK41_SV68 @ SV24 @ SV56 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(855,plain,
! [SV37: $i,SV69: $i] :
( ( ( sK2_SV3 @ SV69 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(856,plain,
! [SV37: $i,SV69: $i] :
( ( ( sK13_E = SV69 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) ) )
= $true )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(857,plain,
( ( ( sK2_SV3 @ sK38_SV64 )
= $true )
| ( ( sK13_E = sK38_SV64 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(858,plain,
( ( ( ~ ( sK2_SV3 @ sK38_SV64 ) )
= $true )
| ( ( sK13_E != sK38_SV64 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(859,plain,
( ( ( sK2_SV3 @ sK36_SV57 )
= $false )
| ( ( sK13_E != sK36_SV57 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(860,plain,
( ( ( sK13_E = sK32_SV51 )
= $false )
| ( ( sK2_SV3 @ sK32_SV51 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK22_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(862,plain,
! [SV33: $i,SV58: $i] :
( ( ( sK13_E != SV58 )
= $false )
| ( ( sK2_SV3 @ SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[829]) ).
thf(863,plain,
! [SV33: $i,SV58: $i] :
( ( ( ~ ( sK2_SV3 @ SV58 ) )
= $false )
| ( ( sK13_E = SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(865,plain,
! [SV70: $i,SV25: $i] :
( ( ( ~ ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) ) )
| ~ ( ~ ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
!= ( sK45_SV78 @ SV25 @ SV70 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[831]) ).
thf(866,plain,
! [SV70: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
= ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[831]) ).
thf(867,plain,
! [SV65: $i,SV25: $i] :
( ( ( ~ ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(868,plain,
! [SV65: $i,SV25: $i] :
( ( ( ~ ( ~ ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
!= ( sK44_SV75 @ SV25 @ SV65 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(869,plain,
! [SV42: $i,SV80: $i] :
( ( ( ~ ( ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
= SV80 ) )
| ~ ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[834]) ).
thf(870,plain,
! [SV42: $i,SV80: $i] :
( ( ( ( sK11_E @ SV80 )
= ( ( sK39_SY40 @ SV42 )
= SV80 ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[834]) ).
thf(871,plain,
! [SV39: $i,SV76: $i] :
( ( ( ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
= SV76 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(872,plain,
! [SV59: $i,SV23: $i] :
( ( ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(873,plain,
! [SV59: $i,SV23: $i] :
( ( ( ~ ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
| ( SV59
!= ( sK42_SV72 @ SV23 @ SV59 ) ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(874,plain,
! [SV53: $i,SV23: $i] :
( ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
= $true )
| ( ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(875,plain,
! [SV53: $i,SV23: $i] :
( ( ( ~ ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) ) )
= $true )
| ( ( SV53
!= ( sK40_SV66 @ SV23 @ SV53 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(876,plain,
! [SV35: $i,SV67: $i] :
( ( ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) )
= $false )
| ( ( sK11_E @ SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(877,plain,
! [SV35: $i,SV67: $i] :
( ( ( ~ ( sK11_E @ SV67 )
| ( sK12_E != SV67 ) )
= $false )
| ( ( sK12_E = SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(878,plain,
( ( ( sK11_E @ sK37_SV61 )
= $false )
| ( ( sK12_E != sK37_SV61 )
= $true )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(879,plain,
( ( ( sK12_E = sK34_SV54 )
= $false )
| ( ( sK11_E @ sK34_SV54 )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK11_E @ sK24_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(881,plain,
! [SV31: $i,SV55: $i] :
( ( ( sK12_E = SV55 )
= $true )
| ( ( sK11_E @ SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(882,plain,
! [SV31: $i,SV55: $i] :
( ( ( sK11_E @ SV55 )
= $true )
| ( ( sK12_E = SV55 )
= $false )
| ( ( SV31 = sK12_E )
= $true )
| ( ( sK11_E @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(884,plain,
! [SV41: $i,SV77: $i] :
( ( ( ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
= SV77 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(885,plain,
! [SV62: $i,SV24: $i] :
( ( ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(886,plain,
! [SV62: $i,SV24: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
| ( SV62
!= ( sK43_SV74 @ SV24 @ SV62 ) ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(887,plain,
! [SV56: $i,SV24: $i] :
( ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
= $true )
| ( ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(888,plain,
! [SV56: $i,SV24: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) ) )
= $true )
| ( ( SV56
!= ( sK41_SV68 @ SV24 @ SV56 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(889,plain,
! [SV37: $i,SV69: $i] :
( ( ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) )
= $false )
| ( ( sK2_SV3 @ SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(890,plain,
! [SV37: $i,SV69: $i] :
( ( ( ~ ( sK2_SV3 @ SV69 )
| ( sK13_E != SV69 ) )
= $false )
| ( ( sK13_E = SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(891,plain,
( ( ( sK2_SV3 @ sK38_SV64 )
= $false )
| ( ( sK13_E != sK38_SV64 )
= $true )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(892,plain,
( ( ( sK13_E = sK36_SV57 )
= $false )
| ( ( sK2_SV3 @ sK36_SV57 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK2_SV3 @ sK25_SY47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(894,plain,
! [SV33: $i,SV58: $i] :
( ( ( sK13_E = SV58 )
= $true )
| ( ( sK2_SV3 @ SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(895,plain,
! [SV33: $i,SV58: $i] :
( ( ( sK2_SV3 @ SV58 )
= $true )
| ( ( sK13_E = SV58 )
= $false )
| ( ( SV33 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(897,plain,
! [SV70: $i,SV25: $i] :
( ( ( ~ ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(898,plain,
! [SV70: $i,SV25: $i] :
( ( ( ~ ( ~ ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
!= ( sK45_SV78 @ SV25 @ SV70 ) ) ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(899,plain,
! [SV65: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(900,plain,
! [SV65: $i,SV25: $i] :
( ( ( ~ ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
| ( SV65
!= ( sK44_SV75 @ SV25 @ SV65 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(901,plain,
! [SV42: $i,SV80: $i] :
( ( ( ~ ( ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
= SV80 ) ) )
= $true )
| ( ( ~ ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(902,plain,
! [SV39: $i,SV76: $i] :
( ( ( sK11_E @ SV76 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(903,plain,
! [SV76: $i,SV39: $i] :
( ( ( ( sK33_SY40 @ SV39 )
= SV76 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) ) )
= $true )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(904,plain,
! [SV59: $i,SV23: $i] :
( ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
= $true )
| ( ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(905,plain,
! [SV59: $i,SV23: $i] :
( ( ( ~ ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) ) )
= $true )
| ( ( SV59
!= ( sK42_SV72 @ SV23 @ SV59 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(906,plain,
! [SV53: $i,SV23: $i] :
( ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
= $false )
| ( ( SV53
!= ( sK40_SV66 @ SV23 @ SV53 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(908,plain,
! [SV35: $i,SV67: $i] :
( ( ( sK12_E != SV67 )
= $false )
| ( ( sK11_E @ SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(909,plain,
! [SV35: $i,SV67: $i] :
( ( ( ~ ( sK11_E @ SV67 ) )
= $false )
| ( ( sK12_E = SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(911,plain,
( ( ( sK12_E = sK37_SV61 )
= $false )
| ( ( sK11_E @ sK37_SV61 )
= $false )
| ( ( sK11_E @ sK12_E )
= $false )
| ( ( sK24_SY45 = sK12_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(912,plain,
! [SV41: $i,SV77: $i] :
( ( ( sK2_SV3 @ SV77 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(913,plain,
! [SV77: $i,SV41: $i] :
( ( ( ( sK35_SY32 @ SV41 )
= SV77 )
= $false )
| ( ( ~ ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) ) )
= $true )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(914,plain,
! [SV62: $i,SV24: $i] :
( ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
= $true )
| ( ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(915,plain,
! [SV62: $i,SV24: $i] :
( ( ( ~ ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) ) )
= $true )
| ( ( SV62
!= ( sK43_SV74 @ SV24 @ SV62 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(916,plain,
! [SV56: $i,SV24: $i] :
( ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
= $false )
| ( ( SV56
!= ( sK41_SV68 @ SV24 @ SV56 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(918,plain,
! [SV37: $i,SV69: $i] :
( ( ( sK13_E != SV69 )
= $false )
| ( ( sK2_SV3 @ SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(919,plain,
! [SV37: $i,SV69: $i] :
( ( ( ~ ( sK2_SV3 @ SV69 ) )
= $false )
| ( ( sK13_E = SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(921,plain,
( ( ( sK13_E = sK38_SV64 )
= $false )
| ( ( sK2_SV3 @ sK38_SV64 )
= $false )
| ( ( sK2_SV3 @ sK13_E )
= $false )
| ( ( sK25_SY47 = sK13_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(922,plain,
! [SV70: $i,SV25: $i] :
( ( ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(923,plain,
! [SV70: $i,SV25: $i] :
( ( ( ~ ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
| ( SV70
!= ( sK45_SV78 @ SV25 @ SV70 ) ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(924,plain,
! [SV65: $i,SV25: $i] :
( ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
= $true )
| ( ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(925,plain,
! [SV65: $i,SV25: $i] :
( ( ( ~ ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) ) )
= $true )
| ( ( SV65
!= ( sK44_SV75 @ SV25 @ SV65 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(926,plain,
! [SV42: $i,SV80: $i] :
( ( ( ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
= SV80 ) )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(927,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) )
= $false )
| ( ( sK11_E @ SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(928,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( sK11_E @ SV76 )
| ( ( sK33_SY40 @ SV39 )
!= SV76 ) )
= $false )
| ( ( ( sK33_SY40 @ SV39 )
= SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(929,plain,
! [SV59: $i,SV23: $i] :
( ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
= $false )
| ( ( SV59
!= ( sK42_SV72 @ SV23 @ SV59 ) )
= $true )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(930,plain,
! [SV23: $i,SV53: $i] :
( ( ( SV53
= ( sK40_SV66 @ SV23 @ SV53 ) )
= $false )
| ( ( sK11_E @ ( sK40_SV66 @ SV23 @ SV53 ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( sK11_E @ ( sK26_SY49 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(932,plain,
! [SV35: $i,SV67: $i] :
( ( ( sK12_E = SV67 )
= $true )
| ( ( sK11_E @ SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(933,plain,
! [SV35: $i,SV67: $i] :
( ( ( sK11_E @ SV67 )
= $true )
| ( ( sK12_E = SV67 )
= $false )
| ( ( SV35 = sK12_E )
= $true )
| ( ( sK11_E @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(935,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) )
= $false )
| ( ( sK2_SV3 @ SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(936,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( sK2_SV3 @ SV77 )
| ( ( sK35_SY32 @ SV41 )
!= SV77 ) )
= $false )
| ( ( ( sK35_SY32 @ SV41 )
= SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(937,plain,
! [SV62: $i,SV24: $i] :
( ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
= $false )
| ( ( SV62
!= ( sK43_SV74 @ SV24 @ SV62 ) )
= $true )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(938,plain,
! [SV24: $i,SV56: $i] :
( ( ( SV56
= ( sK41_SV68 @ SV24 @ SV56 ) )
= $false )
| ( ( sK2_SV3 @ ( sK41_SV68 @ SV24 @ SV56 ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( sK2_SV3 @ ( sK27_SY51 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(940,plain,
! [SV37: $i,SV69: $i] :
( ( ( sK13_E = SV69 )
= $true )
| ( ( sK2_SV3 @ SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(941,plain,
! [SV37: $i,SV69: $i] :
( ( ( sK2_SV3 @ SV69 )
= $true )
| ( ( sK13_E = SV69 )
= $false )
| ( ( SV37 = sK13_E )
= $true )
| ( ( sK2_SV3 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(943,plain,
! [SV70: $i,SV25: $i] :
( ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
= $true )
| ( ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(944,plain,
! [SV70: $i,SV25: $i] :
( ( ( ~ ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) ) )
= $true )
| ( ( SV70
!= ( sK45_SV78 @ SV25 @ SV70 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(945,plain,
! [SV65: $i,SV25: $i] :
( ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
= $false )
| ( ( SV65
!= ( sK44_SV75 @ SV25 @ SV65 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(946,plain,
! [SV42: $i,SV80: $i] :
( ( ( sK11_E @ SV80 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(947,plain,
! [SV80: $i,SV42: $i] :
( ( ( ( sK39_SY40 @ SV42 )
= SV80 )
= $false )
| ( ( ~ ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) ) )
= $true )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(949,plain,
! [SV76: $i,SV39: $i] :
( ( ( ( sK33_SY40 @ SV39 )
!= SV76 )
= $false )
| ( ( sK11_E @ SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(950,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( sK11_E @ SV76 ) )
= $false )
| ( ( ( sK33_SY40 @ SV39 )
= SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(952,plain,
! [SV23: $i,SV59: $i] :
( ( ( SV59
= ( sK42_SV72 @ SV23 @ SV59 ) )
= $false )
| ( ( sK11_E @ ( sK42_SV72 @ SV23 @ SV59 ) )
= $false )
| ( ( sK11_E @ SV23 )
= $false )
| ( ( ( sK26_SY49 @ SV23 )
= SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(954,plain,
! [SV77: $i,SV41: $i] :
( ( ( ( sK35_SY32 @ SV41 )
!= SV77 )
= $false )
| ( ( sK2_SV3 @ SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(955,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( sK2_SV3 @ SV77 ) )
= $false )
| ( ( ( sK35_SY32 @ SV41 )
= SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(957,plain,
! [SV24: $i,SV62: $i] :
( ( ( SV62
= ( sK43_SV74 @ SV24 @ SV62 ) )
= $false )
| ( ( sK2_SV3 @ ( sK43_SV74 @ SV24 @ SV62 ) )
= $false )
| ( ( sK2_SV3 @ SV24 )
= $false )
| ( ( ( sK27_SY51 @ SV24 )
= SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(958,plain,
! [SV70: $i,SV25: $i] :
( ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
= $false )
| ( ( SV70
!= ( sK45_SV78 @ SV25 @ SV70 ) )
= $true )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(959,plain,
! [SV25: $i,SV65: $i] :
( ( ( SV65
= ( sK44_SV75 @ SV25 @ SV65 ) )
= $false )
| ( ( sK11_E @ ( sK44_SV75 @ SV25 @ SV65 ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( sK11_E @ ( sK28_SY52 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(960,plain,
! [SV42: $i,SV80: $i] :
( ( ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) )
= $false )
| ( ( sK11_E @ SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(961,plain,
! [SV42: $i,SV80: $i] :
( ( ( ~ ( sK11_E @ SV80 )
| ( ( sK39_SY40 @ SV42 )
!= SV80 ) )
= $false )
| ( ( ( sK39_SY40 @ SV42 )
= SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(963,plain,
! [SV76: $i,SV39: $i] :
( ( ( ( sK33_SY40 @ SV39 )
= SV76 )
= $true )
| ( ( sK11_E @ SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(964,plain,
! [SV39: $i,SV76: $i] :
( ( ( sK11_E @ SV76 )
= $true )
| ( ( ( sK33_SY40 @ SV39 )
= SV76 )
= $false )
| ( ( SV39 = sK16_SY42 )
= $true )
| ( ( sK11_E @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(967,plain,
! [SV77: $i,SV41: $i] :
( ( ( ( sK35_SY32 @ SV41 )
= SV77 )
= $true )
| ( ( sK2_SV3 @ SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(968,plain,
! [SV41: $i,SV77: $i] :
( ( ( sK2_SV3 @ SV77 )
= $true )
| ( ( ( sK35_SY32 @ SV41 )
= SV77 )
= $false )
| ( ( SV41 = sK17_SY30 )
= $true )
| ( ( sK2_SV3 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(970,plain,
! [SV25: $i,SV70: $i] :
( ( ( SV70
= ( sK45_SV78 @ SV25 @ SV70 ) )
= $false )
| ( ( sK11_E @ ( sK45_SV78 @ SV25 @ SV70 ) )
= $false )
| ( ( sK11_E @ SV25 )
= $false )
| ( ( ( sK28_SY52 @ SV25 )
= SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(972,plain,
! [SV80: $i,SV42: $i] :
( ( ( ( sK39_SY40 @ SV42 )
!= SV80 )
= $false )
| ( ( sK11_E @ SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(973,plain,
! [SV42: $i,SV80: $i] :
( ( ( ~ ( sK11_E @ SV80 ) )
= $false )
| ( ( ( sK39_SY40 @ SV42 )
= SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(976,plain,
! [SV80: $i,SV42: $i] :
( ( ( ( sK39_SY40 @ SV42 )
= SV80 )
= $true )
| ( ( sK11_E @ SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(977,plain,
! [SV42: $i,SV80: $i] :
( ( ( sK11_E @ SV80 )
= $true )
| ( ( ( sK39_SY40 @ SV42 )
= SV80 )
= $false )
| ( ( SV42 = sK18_SY42 )
= $true )
| ( ( sK11_E @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(979,plain,
! [SV20: $i] :
( ( ( sK4_SY32 = SV20 )
= $true )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(sim,[status(thm)],[235]) ).
thf(980,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(sim,[status(thm)],[247]) ).
thf(981,plain,
! [SV20: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV20 )
= $false )
| ( ( sK4_SY32 = SV20 )
= $true ) ),
inference(sim,[status(thm)],[242]) ).
thf(982,plain,
( ( ( sK2_SV3 @ sK4_SY32 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(sim,[status(thm)],[249]) ).
thf(983,plain,
! [SV22: $i] :
( ( ( sK2_SV3 @ SV22 )
= $false )
| ( ( sK4_SY32 = SV22 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(sim,[status(thm)],[244]) ).
thf(984,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(sim,[status(thm)],[250]) ).
thf(985,plain,
! [SV9: $i] :
( ( ( sK4_SY32 = SV9 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(sim,[status(thm)],[223]) ).
thf(986,plain,
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ sK4_SY32 )
= $true ) ),
inference(sim,[status(thm)],[253]) ).
thf(987,plain,
! [SV9: $i] :
( ( ( sK2_SV3 @ sK3_SY30 )
= $true )
| ( ( sK2_SV3 @ SV9 )
= $false )
| ( ( sK4_SY32 = SV9 )
= $true ) ),
inference(sim,[status(thm)],[246]) ).
thf(988,plain,
( ( ( sK2_SV3 @ sK4_SY32 )
= $true )
| ( ( sK2_SV3 @ sK3_SY30 )
= $true ) ),
inference(sim,[status(thm)],[255]) ).
thf(989,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,988,987,986,985,984,983,982,981,980,979,977,976,970,968,967,964,963,959,957,952,943,941,940,938,933,932,930,924,921,914,911,904,895,894,892,887,882,881,879,874,870,866,860,857,845,842,833,828,825,819,817,813,810,804,802,800,797,791,785,777,771,765,764,762,757,752,750,747,745,741,736,734,731,729,715,711,706,705,698,694,689,688,681,677,674,672,663,659,656,654,639,636,631,630,622,619,614,613,602,599,585,582,562,561,559,545,544,542,529,483,471,468,437,433,426,422,395,390,384,379,349,339,279,278,277,276,275,273,272,271,156,154,152,150,143,142,139,138,134,128,115,112,107,105,103,97,91,90,62,55,26,23,21]) ).
thf(990,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV300^5 : 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 : n018.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 15:47:37 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
% 95.47/16.27
% 95.47/16.27 No.of.Axioms: 0
% 95.47/16.27
% 95.47/16.27 Length.of.Defs: 458
% 95.47/16.27
% 95.47/16.27 Contains.Choice.Funs: false
% 95.47/16.27 ..eprover: CPU time limit exceeded, terminating
% 95.47/16.27 ..............
% 95.47/16.27
% 95.47/16.27 ********************************
% 95.47/16.27 * All subproblems solved! *
% 95.47/16.27 ********************************
% 95.47/16.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:989,loop_count:0,foatp_calls:2,translation:fof_full)
% 95.47/16.27
% 95.47/16.27 %**** Beginning of derivation protocol ****
% 95.47/16.27 % SZS output start CNFRefutation
% See solution above
% 95.47/16.27
% 95.47/16.27 %**** End of derivation protocol ****
% 95.47/16.27 %**** no. of clauses in derivation: 870 ****
% 95.47/16.27 %**** clause counter: 989 ****
% 95.47/16.27
% 95.47/16.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:989,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------