%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV261^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n012.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 10:49:50 AM UTC 2026
% Result : Theorem 2.09s 0.60s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 1
% Syntax : Number of formulae : 757 ( 162 unt; 0 typ; 0 def)
% Number of atoms : 7669 (2728 equ; 0 cnn)
% Maximal formula atoms : 18 ( 10 avg)
% Number of connectives : 5478 (1885 ~;1981 |; 39 &;1543 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 301 ( 301 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 1465 ( 421 ^;1038 !; 6 ?;1465 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SV10,type,
sK10_SV10: a ).
thf(tp_sK11_SY51,type,
sK11_SY51: a > a > $o ).
thf(tp_sK12_SY51,type,
sK12_SY51: ( a > $o ) > a > a > $o ).
thf(tp_sK13_SX0,type,
sK13_SX0: a > $o ).
thf(tp_sK14_SY52,type,
sK14_SY52: a > $o ).
thf(tp_sK15_SY61,type,
sK15_SY61: a > $o ).
thf(tp_sK16_SV29,type,
sK16_SV29: a ).
thf(tp_sK17_SV30,type,
sK17_SV30: a ).
thf(tp_sK1_SX0,type,
sK1_SX0: a > $o ).
thf(tp_sK2_SV2,type,
sK2_SV2: a ).
thf(tp_sK3_SV3,type,
sK3_SV3: a ).
thf(tp_sK4_SX0,type,
sK4_SX0: a > $o ).
thf(tp_sK5_SV6,type,
sK5_SV6: a ).
thf(tp_sK6_SV7,type,
sK6_SV7: a ).
thf(tp_sK7_SX0,type,
sK7_SX0: ( a > $o ) > $o ).
thf(tp_sK8_SY33,type,
sK8_SY33: a > $o ).
thf(tp_sK9_SV9,type,
sK9_SV9: a ).
thf(1,conjecture,
( ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cINDISCRETE_TOPOLOGY_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(7,plain,
( ( ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(8,plain,
( ( ~ ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(9,plain,
( ( ~ ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ~ ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(12,plain,
( ( ~ ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ~ ! [SX0: a > $o] :
( ( SX0
!= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : ~ $false ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SX0: a > $o] :
( ( SX0
!= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
( ( ( sK1_SX0
!= ( ^ [SX1: a] : $false ) )
| ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
| ( sK1_SX0
= ( ^ [SX1: a] : ~ $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( sK1_SX0
!= ( ^ [SX1: a] : $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(17,plain,
( ( ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
| ( sK1_SX0
= ( ^ [SX1: a] : ~ $false ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SV1: a] :
( ( sK1_SX0 @ SV1 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [SV2: a] :
( ( sK1_SX0 @ SV2 )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(25,plain,
( ( ! [SV3: a] :
( ( sK1_SX0 @ SV3 )
= ( ~ $false ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[20]) ).
thf(26,plain,
( ( sK1_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[20]) ).
thf(27,plain,
! [SV4: a] :
( ( ( sK1_SX0 @ SV4 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
( ( ( sK1_SX0 @ sK2_SV2 )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(29,plain,
( ( ( sK1_SX0 @ sK3_SV3 )
= ( ~ $false ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(30,plain,
! [SV4: a] :
( ( ~ ( ( sK1_SX0 @ SV4 )
| $false )
| ~ ( ~ ( sK1_SX0 @ SV4 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV4: a] :
( ( ( sK1_SX0 @ SV4 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ( sK1_SX0 @ sK2_SV2 )
| $false )
| ~ ( ~ ( sK1_SX0 @ sK2_SV2 )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ( sK1_SX0 @ sK2_SV2 )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ( sK1_SX0 @ sK3_SV3 )
| ~ $false )
| ~ ( ~ ( sK1_SX0 @ sK3_SV3 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ( sK1_SX0 @ sK3_SV3 )
= ( ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[29]) ).
thf(36,plain,
! [SV4: a] :
( ( ( ~ ( ( sK1_SX0 @ SV4 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( sK1_SX0 @ SV4 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ( ( sK1_SX0 @ sK2_SV2 )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
( ( ~ ( ~ ( sK1_SX0 @ sK2_SV2 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(39,plain,
( ( ~ ( ( sK1_SX0 @ sK3_SV3 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( ~ ( sK1_SX0 @ sK3_SV3 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(41,plain,
! [SV4: a] :
( ( ( ( sK1_SX0 @ SV4 )
| $false )
= $false )
| ( ( ~ ( ~ ( sK1_SX0 @ SV4 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
( ( ( sK1_SX0 @ sK2_SV2 )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ( sK1_SX0 @ sK2_SV2 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ( sK1_SX0 @ sK3_SV3 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ( sK1_SX0 @ sK3_SV3 )
| ~ ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV4: a] :
( ( ( sK1_SX0 @ SV4 )
= $false )
| ( ( ~ ( ~ ( sK1_SX0 @ SV4 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV4: a] :
( ( $false = $false )
| ( ( ~ ( ~ ( sK1_SX0 @ SV4 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ( sK1_SX0 @ sK2_SV2 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ( ~ ( sK1_SX0 @ sK2_SV2 ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
( ( ( sK1_SX0 @ sK3_SV3 )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
( ( ( ~ ( sK1_SX0 @ sK3_SV3 ) )
= $true )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV4: a] :
( ( ( ~ ( sK1_SX0 @ SV4 )
| ~ $false )
= $false )
| ( ( sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV4: a] :
( ( ( ~ ( sK1_SX0 @ SV4 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
( ( ( sK1_SX0 @ sK2_SV2 )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
( ( $false = $false )
| ( ( sK1_SX0 @ sK3_SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
( ( ( sK1_SX0 @ sK3_SV3 )
= $false )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV4: a] :
( ( ( ~ ( sK1_SX0 @ SV4 ) )
= $false )
| ( ( sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV4: a] :
( ( ( ~ $false ) = $false )
| ( ( sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV4: a] :
( ( ( ~ ( sK1_SX0 @ SV4 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(60,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( $false = $false )
| ( ( sK1_SX0 @ sK2_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ( ~ $false ) = $false )
| ( ( sK1_SX0 @ sK3_SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV4: a] :
( ( ( sK1_SX0 @ SV4 )
= $true )
| ( ( sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV4: a] :
( ( $false = $true )
| ( ( sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV4: a] :
( ( ( sK1_SX0 @ SV4 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
( ( $false = $true )
| ( ( sK1_SX0 @ sK3_SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,67,66,65,64,63,61,55,48,35,33,31,26,24]) ).
thf(69,plain,
( ( ~ ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : ~ $false ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(70,plain,
( ( ~ ! [SX0: a > $o] :
( ( SX0
!= ( ^ [SX1: a] : ~ $false ) )
| ( SX0
= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : ~ $false ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(71,plain,
( ( ! [SX0: a > $o] :
( ( SX0
!= ( ^ [SX1: a] : ~ $false ) )
| ( SX0
= ( ^ [SX1: a] : $false ) )
| ( SX0
= ( ^ [SX1: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(72,plain,
( ( ( sK4_SX0
!= ( ^ [SX1: a] : ~ $false ) )
| ( sK4_SX0
= ( ^ [SX1: a] : $false ) )
| ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(73,plain,
( ( sK4_SX0
!= ( ^ [SX1: a] : ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(74,plain,
( ( ( sK4_SX0
= ( ^ [SX1: a] : $false ) )
| ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(75,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(76,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(77,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(78,plain,
( ( ! [SV5: a] :
( ( sK4_SX0 @ SV5 )
= ( ~ $false ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[75]) ).
thf(79,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[75]) ).
thf(80,plain,
( ( ! [SV6: a] :
( ( sK4_SX0 @ SV6 )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[76]) ).
thf(81,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[76]) ).
thf(82,plain,
( ( ! [SV7: a] :
( ( sK4_SX0 @ SV7 )
= ( ~ $false ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(83,plain,
( ( sK4_SX0
= ( ^ [SX1: a] : ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV8: a] :
( ( ( sK4_SX0 @ SV8 )
= ( ~ $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(85,plain,
( ( ( sK4_SX0 @ sK5_SV6 )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(86,plain,
( ( ( sK4_SX0 @ sK6_SV7 )
= ( ~ $false ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(87,plain,
! [SV8: a] :
( ( ~ ( ( sK4_SX0 @ SV8 )
| ~ $false )
| ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV8: a] :
( ( ( sK4_SX0 @ SV8 )
= ( ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[84]) ).
thf(89,plain,
( ( ~ ( ( sK4_SX0 @ sK5_SV6 )
| $false )
| ~ ( ~ ( sK4_SX0 @ sK5_SV6 )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[85]) ).
thf(90,plain,
( ( ( sK4_SX0 @ sK5_SV6 )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[85]) ).
thf(91,plain,
( ( ~ ( ( sK4_SX0 @ sK6_SV7 )
| ~ $false )
| ~ ( ~ ( sK4_SX0 @ sK6_SV7 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ( sK4_SX0 @ sK6_SV7 )
= ( ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV8: a] :
( ( ( ~ ( ( sK4_SX0 @ SV8 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(94,plain,
( ( ~ ( ( sK4_SX0 @ sK5_SV6 )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(95,plain,
( ( ~ ( ~ ( sK4_SX0 @ sK5_SV6 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(96,plain,
( ( ~ ( ( sK4_SX0 @ sK6_SV7 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(97,plain,
( ( ~ ( ~ ( sK4_SX0 @ sK6_SV7 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV8: a] :
( ( ( ( sK4_SX0 @ SV8 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(99,plain,
( ( ( sK4_SX0 @ sK5_SV6 )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(100,plain,
( ( ~ ( sK4_SX0 @ sK5_SV6 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(101,plain,
( ( ( sK4_SX0 @ sK6_SV7 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(102,plain,
( ( ~ ( sK4_SX0 @ sK6_SV7 )
| ~ ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
! [SV8: a] :
( ( ( sK4_SX0 @ SV8 )
= $false )
| ( ( ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV8: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(105,plain,
( ( ( sK4_SX0 @ sK5_SV6 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(106,plain,
( ( ( ~ ( sK4_SX0 @ sK5_SV6 ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(107,plain,
( ( ( sK4_SX0 @ sK6_SV7 )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(108,plain,
( ( ( ~ ( sK4_SX0 @ sK6_SV7 ) )
= $true )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(109,plain,
! [SV8: a] :
( ( ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false )
= $false )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV8: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(111,plain,
( ( ( sK4_SX0 @ sK5_SV6 )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(112,plain,
( ( $false = $false )
| ( ( sK4_SX0 @ sK6_SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(113,plain,
( ( ( sK4_SX0 @ sK6_SV7 )
= $false )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV8: a] :
( ( ( ~ ( sK4_SX0 @ SV8 ) )
= $false )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(115,plain,
! [SV8: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(116,plain,
! [SV8: a] :
( ( ( ~ ( sK4_SX0 @ SV8 )
| ~ ~ $false )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(117,plain,
( ( $false = $false )
| ( ( sK4_SX0 @ sK5_SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
( ( ( ~ $false ) = $false )
| ( ( sK4_SX0 @ sK6_SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(119,plain,
! [SV8: a] :
( ( ( sK4_SX0 @ SV8 )
= $true )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(120,plain,
! [SV8: a] :
( ( ( ~ $false ) = $true )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(121,plain,
! [SV8: a] :
( ( ( ~ ( sK4_SX0 @ SV8 ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(122,plain,
( ( ( ~ ~ $false )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(123,plain,
( ( $false = $true )
| ( ( sK4_SX0 @ sK6_SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(124,plain,
! [SV8: a] :
( ( $false = $false )
| ( ( sK4_SX0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(125,plain,
! [SV8: a] :
( ( ( sK4_SX0 @ SV8 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(126,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(127,plain,
( ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(128,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[79,127,125,124,123,119,117,112,105,92,90,88,83,81]) ).
thf(129,plain,
( ( ~ ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $false ) )
| ( Xx
= ( ^ [Xy: a] : ~ $false ) ) ) )
& ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $false ) )
| ( R
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(130,plain,
( ( ~ ! [SX0: ( a > $o ) > $o,SX1: a > $o] :
( ~ ~ ( ~ ! [SX2: a > $o] :
( ~ ( SX0 @ SX2 )
| ( SX2
= ( ^ [SX3: a] : $false ) )
| ( SX2
= ( ^ [SX3: a] : ~ $false ) ) )
| ( SX1
!= ( ^ [SX2: a] :
~ ! [SX3: a > $o] :
~ ~ ( ~ ( SX0 @ SX3 )
| ~ ( SX3 @ SX2 ) ) ) ) )
| ( SX1
= ( ^ [SX2: a] : $false ) )
| ( SX1
= ( ^ [SX2: a] : ~ $false ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(131,plain,
( ( ! [SX0: ( a > $o ) > $o,SX1: a > $o] :
( ~ ~ ( ~ ! [SX2: a > $o] :
( ~ ( SX0 @ SX2 )
| ( SX2
= ( ^ [SX3: a] : $false ) )
| ( SX2
= ( ^ [SX3: a] : ~ $false ) ) )
| ( SX1
!= ( ^ [SX2: a] :
~ ! [SX3: a > $o] :
~ ~ ( ~ ( SX0 @ SX3 )
| ~ ( SX3 @ SX2 ) ) ) ) )
| ( SX1
= ( ^ [SX2: a] : $false ) )
| ( SX1
= ( ^ [SX2: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(132,plain,
( ( ! [SY33: a > $o] :
( ~ ~ ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) )
| ( SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) ) )
| ( SY33
= ( ^ [SX2: a] : $false ) )
| ( SY33
= ( ^ [SX2: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(133,plain,
( ( ~ ~ ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) )
| ( sK8_SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) ) )
| ( sK8_SY33
= ( ^ [SX2: a] : $false ) )
| ( sK8_SY33
= ( ^ [SX2: a] : ~ $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(134,plain,
( ( ~ ~ ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) )
| ( sK8_SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(135,plain,
( ( ( sK8_SY33
= ( ^ [SX2: a] : $false ) )
| ( sK8_SY33
= ( ^ [SX2: a] : ~ $false ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(136,plain,
( ( ~ ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) )
| ( sK8_SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(137,plain,
( ( sK8_SY33
= ( ^ [SX2: a] : $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(138,plain,
( ( sK8_SY33
= ( ^ [SX2: a] : ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(139,plain,
( ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) )
| ( sK8_SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(140,plain,
( ( ! [SV9: a] :
( ( sK8_SY33 @ SV9 )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[137]) ).
thf(141,plain,
( ( sK8_SY33
= ( ^ [SX2: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[137]) ).
thf(142,plain,
( ( ! [SV10: a] :
( ( sK8_SY33 @ SV10 )
= ( ~ $false ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[138]) ).
thf(143,plain,
( ( sK8_SY33
= ( ^ [SX2: a] : ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[138]) ).
thf(144,plain,
( ( ~ ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(145,plain,
( ( sK8_SY33
!= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(146,plain,
( ( ( sK8_SY33 @ sK9_SV9 )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[140]) ).
thf(147,plain,
( ( ( sK8_SY33 @ sK10_SV10 )
= ( ~ $false ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(148,plain,
( ( ! [SY34: a > $o] :
( ~ ( sK7_SX0 @ SY34 )
| ( SY34
= ( ^ [SX3: a] : $false ) )
| ( SY34
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(149,plain,
( ( sK8_SY33
= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(150,plain,
( ( ~ ( ( sK8_SY33 @ sK9_SV9 )
| $false )
| ~ ( ~ ( sK8_SY33 @ sK9_SV9 )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[146]) ).
thf(151,plain,
( ( ( sK8_SY33 @ sK9_SV9 )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[146]) ).
thf(152,plain,
( ( ~ ( ( sK8_SY33 @ sK10_SV10 )
| ~ $false )
| ~ ( ~ ( sK8_SY33 @ sK10_SV10 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[147]) ).
thf(153,plain,
( ( ( sK8_SY33 @ sK10_SV10 )
= ( ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[147]) ).
thf(154,plain,
! [SV11: a > $o] :
( ( ~ ( sK7_SX0 @ SV11 )
| ( SV11
= ( ^ [SX3: a] : $false ) )
| ( SV11
= ( ^ [SX3: a] : ~ $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(155,plain,
( ( ! [SV12: a] :
( ( sK8_SY33 @ SV12 )
= ( ~ ! [SY50: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY50 )
| ~ ( SY50 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(156,plain,
( ( sK8_SY33
= ( ^ [SY37: a] :
~ ! [SY38: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY38 )
| ~ ( SY38 @ SY37 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(157,plain,
( ( ~ ( ( sK8_SY33 @ sK9_SV9 )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(158,plain,
( ( ~ ( ~ ( sK8_SY33 @ sK9_SV9 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(159,plain,
( ( ~ ( ( sK8_SY33 @ sK10_SV10 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(160,plain,
( ( ~ ( ~ ( sK8_SY33 @ sK10_SV10 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(161,plain,
! [SV11: a > $o] :
( ( ( ~ ( sK7_SX0 @ SV11 ) )
= $true )
| ( ( ( SV11
= ( ^ [SX3: a] : $false ) )
| ( SV11
= ( ^ [SX3: a] : ~ $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV13: a] :
( ( ( sK8_SY33 @ SV13 )
= ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(163,plain,
( ( ( sK8_SY33 @ sK9_SV9 )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(164,plain,
( ( ~ ( sK8_SY33 @ sK9_SV9 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(165,plain,
( ( ( sK8_SY33 @ sK10_SV10 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(166,plain,
( ( ~ ( sK8_SY33 @ sK10_SV10 )
| ~ ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(167,plain,
! [SV11: a > $o] :
( ( ( sK7_SX0 @ SV11 )
= $false )
| ( ( ( SV11
= ( ^ [SX3: a] : $false ) )
| ( SV11
= ( ^ [SX3: a] : ~ $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
! [SV13: a] :
( ( ~ ( ( sK8_SY33 @ SV13 )
| ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
| ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV13: a] :
( ( ( sK8_SY33 @ SV13 )
= ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(170,plain,
( ( ( sK8_SY33 @ sK9_SV9 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(171,plain,
( ( ( ~ ( sK8_SY33 @ sK9_SV9 ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(172,plain,
( ( ( sK8_SY33 @ sK10_SV10 )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(173,plain,
( ( ( ~ ( sK8_SY33 @ sK10_SV10 ) )
= $true )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(174,plain,
! [SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(175,plain,
! [SV13: a] :
( ( ( ~ ( ( sK8_SY33 @ SV13 )
| ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(176,plain,
( ( ( sK8_SY33 @ sK9_SV9 )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(177,plain,
( ( $false = $false )
| ( ( sK8_SY33 @ sK10_SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(178,plain,
( ( ( sK8_SY33 @ sK10_SV10 )
= $false )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV11: a > $o] :
( ( ( ! [SV14: a] :
( ( SV11 @ SV14 )
= $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[174]) ).
thf(181,plain,
! [SV13: a] :
( ( ( ( sK8_SY33 @ SV13 )
| ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(182,plain,
( ( $false = $false )
| ( ( sK8_SY33 @ sK9_SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
( ( ( ~ $false ) = $false )
| ( ( sK8_SY33 @ sK10_SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(184,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(185,plain,
! [SV11: a > $o] :
( ( ( ! [SV16: a] :
( ( SV11 @ SV16 )
= ( ~ $false ) ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[180]) ).
thf(186,plain,
! [SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[180]) ).
thf(187,plain,
! [SV13: a] :
( ( ( sK8_SY33 @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(188,plain,
! [SV13: a] :
( ( ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(189,plain,
( ( $false = $true )
| ( ( sK8_SY33 @ sK10_SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(190,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV15 )
| $false )
| ~ ( ~ ( SV11 @ SV15 )
| ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[184]) ).
thf(191,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ( SV11 @ SV17 )
= ( ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV13: a] :
( ( ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(194,plain,
! [SV13: a] :
( ( ( ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(195,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV15 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV15 )
| ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(196,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ! [SV18: a] :
( ( SV11 @ SV18 )
= ( ~ $false ) ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[191]) ).
thf(197,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[191]) ).
thf(198,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV17 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ( SV11 @ SV17 )
= ( ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[192]) ).
thf(200,plain,
! [SV13: a] :
( ( ( ~ ( sK8_SY33 @ SV13 ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(201,plain,
! [SV13: a] :
( ( ( ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(202,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ~ ( ~ ( sK7_SX0 @ SV19 )
| ~ ( SV19 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ( SV11 @ SV15 )
| $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV15 )
| ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ( SV11 @ SV20 )
= ( ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV17 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(206,plain,
! [SV13: a] :
( ( ( sK8_SY33 @ SV13 )
= $true )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(207,plain,
! [SV13: a] :
( ( ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $true )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(208,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( ~ ( sK7_SX0 @ SV19 )
| ~ ( SV19 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(209,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11 @ SV15 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV15 )
| ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(210,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ( SV11 @ SV15 )
| ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(211,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV20 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[204]) ).
thf(212,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ( SV11 @ SV20 )
= ( ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ( SV11 @ SV17 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV13: a] :
( ( ( ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(215,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( sK7_SX0 @ SV19 )
| ~ ( SV19 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(216,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV15 )
| ~ $false )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(217,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV15 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(218,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV20 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(219,plain,
! [SV17: a,SV11: a > $o] :
( ( ( SV11 @ SV17 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(220,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(221,plain,
! [SV13: a] :
( ( ( ~ ~ ( ~ ( sK7_SX0 @ ( sK11_SY51 @ SV13 ) )
| ~ ( sK11_SY51 @ SV13 @ SV13 ) ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(222,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( sK7_SX0 @ SV19 ) )
= $true )
| ( ( ~ ( SV19 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV15 ) )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(224,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(225,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV15 ) )
= $false )
| ( $false = $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(227,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ( SV11 @ SV20 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV17 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
! [SV17: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV17 )
| ~ ~ $false ) )
= $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(230,plain,
! [SV13: a] :
( ( ( ~ ( ~ ( sK7_SX0 @ ( sK11_SY51 @ SV13 ) )
| ~ ( sK11_SY51 @ SV13 @ SV13 ) ) )
= $true )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(231,plain,
! [SV13: a,SV19: a > $o] :
( ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( ~ ( SV19 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11 @ SV15 )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(233,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(234,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11 @ SV15 )
= $true )
| ( $false = $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(235,plain,
! [SV11: a > $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(236,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( SV11 @ SV20 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(237,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(238,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV17 ) )
= $false )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(239,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(240,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV17 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(241,plain,
! [SV13: a] :
( ( ( ~ ( sK7_SX0 @ ( sK11_SY51 @ SV13 ) )
| ~ ( sK11_SY51 @ SV13 @ SV13 ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(242,plain,
! [SV13: a,SV19: a > $o] :
( ( ( SV19 @ SV13 )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( ~ ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ! [SV21: a] :
( ( SV11 @ SV21 )
= ( ~ $false ) ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ! [SV22: a] :
( ( SV11 @ SV22 )
= ( ~ $false ) ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(247,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ! [SV23: a] :
( ( SV11 @ SV23 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV15: a,SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[234]) ).
thf(249,plain,
! [SV11: a > $o] :
( ( ( ! [SV24: a] :
( ( SV11 @ SV24 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[235]) ).
thf(250,plain,
! [SV11: a > $o] :
( ( ( SV11
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[235]) ).
thf(251,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV20 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(252,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV20 )
| ~ ~ $false ) )
= $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(253,plain,
! [SV17: a,SV11: a > $o] :
( ( ( SV11 @ SV17 )
= $true )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(254,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(255,plain,
! [SV17: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV17 ) )
= $false )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(256,plain,
! [SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(257,plain,
! [SV13: a] :
( ( ( ~ ( sK7_SX0 @ ( sK11_SY51 @ SV13 ) ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(258,plain,
! [SV13: a] :
( ( ( ~ ( sK11_SY51 @ SV13 @ SV13 ) )
= $false )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(259,plain,
! [SV19: a > $o,SV13: a] :
( ( ( ~ ( sK8_SY33 @ SV13 )
| ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(260,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ( SV11 @ SV25 )
= ( ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(261,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ( SV11 @ SV26 )
= ( ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(262,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ( SV11 @ SV27 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ( SV11 @ SV28 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(264,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV20 ) )
= $false )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(265,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(266,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV20 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV17: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV17 )
= $false )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(268,plain,
! [SV17: a,SV11: a > $o] :
( ( ( SV11 @ SV17 )
= $true )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(269,plain,
! [SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(270,plain,
! [SV13: a] :
( ( ( sK7_SX0 @ ( sK11_SY51 @ SV13 ) )
= $true )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(271,plain,
! [SV13: a] :
( ( ( sK11_SY51 @ SV13 @ SV13 )
= $true )
| ( ( sK8_SY33 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(272,plain,
! [SV19: a > $o,SV13: a] :
( ( ( ~ ( sK8_SY33 @ SV13 ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(273,plain,
! [SV19: a > $o,SV13: a] :
( ( ( ~ ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(274,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV25 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[260]) ).
thf(275,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ( SV11 @ SV25 )
= ( ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[260]) ).
thf(276,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV26 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[261]) ).
thf(277,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ( SV11 @ SV26 )
= ( ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[261]) ).
thf(278,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV27 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[262]) ).
thf(279,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ( SV11 @ SV27 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[262]) ).
thf(280,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV28 )
| ~ $false )
| ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[263]) ).
thf(281,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ( SV11 @ SV28 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[263]) ).
thf(282,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( SV11 @ SV20 )
= $true )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(283,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(284,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV20 ) )
= $false )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(285,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(286,plain,
! [SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV11
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(287,plain,
! [SV19: a > $o,SV13: a] :
( ( ( sK8_SY33 @ SV13 )
= $true )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(288,plain,
! [SV19: a > $o,SV13: a] :
( ( ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $true )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(289,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV25 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(290,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV26 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(291,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV27 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(292,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( ( SV11 @ SV28 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV20 )
= $false )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(294,plain,
! [SV15: a,SV20: a,SV11: a > $o] :
( ( ( SV11 @ SV20 )
= $true )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(295,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(296,plain,
! [SV19: a > $o,SV13: a] :
( ( ( ! [SY51: a > $o] :
~ ~ ( ~ ( sK7_SX0 @ SY51 )
| ~ ( SY51 @ SV13 ) ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(297,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ( SV11 @ SV25 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(298,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ( SV11 @ SV26 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(299,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ( SV11 @ SV27 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(300,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ( SV11 @ SV28 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( ( ( SV11 @ SV15 )
= $false )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ~ ( ~ ( sK7_SX0 @ ( sK12_SY51 @ SV19 @ SV13 ) )
| ~ ( sK12_SY51 @ SV19 @ SV13 @ SV13 ) ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(303,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( SV11 @ SV25 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(304,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(305,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( SV11 @ SV26 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(306,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( SV11 @ SV27 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(308,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(309,plain,
! [SV28: a,SV11: a > $o] :
( ( ( SV11 @ SV28 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(310,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(311,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( ~ ( sK7_SX0 @ ( sK12_SY51 @ SV19 @ SV13 ) )
| ~ ( sK12_SY51 @ SV19 @ SV13 @ SV13 ) ) )
= $true )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(312,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV25 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(313,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV25 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(314,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV26 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(315,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV26 )
| ~ ~ $false ) )
= $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(316,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV27 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(317,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV27 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(318,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV28 )
| ~ ~ $false )
= $false )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(319,plain,
! [SV28: a,SV11: a > $o] :
( ( $false = $true )
| ( ( ~ ( ~ ( SV11 @ SV28 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(320,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( sK7_SX0 @ ( sK12_SY51 @ SV19 @ SV13 ) )
| ~ ( sK12_SY51 @ SV19 @ SV13 @ SV13 ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(321,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV25 ) )
= $false )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(322,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(323,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV25 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(324,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV26 ) )
= $false )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(325,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(326,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV26 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(327,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV27 ) )
= $false )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(328,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(329,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV27 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(330,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV28 ) )
= $false )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(331,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(332,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV28 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(333,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( sK7_SX0 @ ( sK12_SY51 @ SV19 @ SV13 ) ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(334,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( sK12_SY51 @ SV19 @ SV13 @ SV13 ) )
= $false )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(335,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( SV11 @ SV25 )
= $true )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(336,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(337,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV25 ) )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(338,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(339,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( SV11 @ SV26 )
= $true )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(340,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(341,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV26 ) )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(342,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(343,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( SV11 @ SV27 )
= $true )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(344,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(345,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV27 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(346,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(347,plain,
! [SV28: a,SV11: a > $o] :
( ( ( SV11 @ SV28 )
= $true )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(348,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(349,plain,
! [SV28: a,SV11: a > $o] :
( ( ( ~ ( SV11 @ SV28 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(350,plain,
! [SV11: a > $o] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(351,plain,
! [SV13: a,SV19: a > $o] :
( ( ( sK7_SX0 @ ( sK12_SY51 @ SV19 @ SV13 ) )
= $true )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(352,plain,
! [SV13: a,SV19: a > $o] :
( ( ( sK12_SY51 @ SV19 @ SV13 @ SV13 )
= $true )
| ( ( sK7_SX0 @ SV19 )
= $false )
| ( ( SV19 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(353,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV25 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(354,plain,
! [SV15: a,SV25: a,SV11: a > $o] :
( ( ( SV11 @ SV25 )
= $true )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(355,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(356,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV26 )
= $false )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(357,plain,
! [SV15: a,SV26: a,SV11: a > $o] :
( ( ( SV11 @ SV26 )
= $true )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(358,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(359,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV27 )
= $false )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(360,plain,
! [SV15: a,SV27: a,SV11: a > $o] :
( ( ( SV11 @ SV27 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(361,plain,
! [SV15: a,SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(362,plain,
! [SV28: a,SV11: a > $o] :
( ( $false = $false )
| ( ( SV11 @ SV28 )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(363,plain,
! [SV28: a,SV11: a > $o] :
( ( ( SV11 @ SV28 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(364,plain,
! [SV11: a > $o] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(365,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(366,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV11 @ SV15 )
= $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(367,plain,
! [SV15: a,SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( SV11 @ SV15 )
= $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(368,plain,
! [SV11: a > $o] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( sK7_SX0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(369,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[141,368,367,366,365,363,362,360,359,357,356,354,353,352,351,347,343,339,335,301,294,293,287,286,282,281,279,277,275,271,270,268,267,253,250,248,246,244,212,206,199,197,189,186,182,177,170,169,156,153,151,143]) ).
thf(370,plain,
( ( ~ ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( ( Y
= ( ^ [Xy: a] : $false ) )
| ( Y
= ( ^ [Xy: a] : ~ $false ) ) )
& ( ( Z
= ( ^ [Xy: a] : $false ) )
| ( Z
= ( ^ [Xy: a] : ~ $false ) ) )
& ( S
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $false ) )
| ( S
= ( ^ [Xy: a] : ~ $false ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(371,plain,
( ( ~ ! [SX0: a > $o,SX1: a > $o,SX2: a > $o] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0
= ( ^ [SX3: a] : $false ) )
| ( SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( SX1
= ( ^ [SX3: a] : $false ) )
| ( SX1
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( SX2
!= ( ^ [SX3: a] :
~ ( ~ ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) ) ) ) )
| ( SX2
= ( ^ [SX3: a] : $false ) )
| ( SX2
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(372,plain,
( ( ! [SX0: a > $o,SX1: a > $o,SX2: a > $o] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0
= ( ^ [SX3: a] : $false ) )
| ( SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( SX1
= ( ^ [SX3: a] : $false ) )
| ( SX1
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( SX2
!= ( ^ [SX3: a] :
~ ( ~ ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) ) ) ) )
| ( SX2
= ( ^ [SX3: a] : $false ) )
| ( SX2
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(373,plain,
( ( ! [SY52: a > $o,SY53: a > $o] :
( ~ ~ ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( SY52
= ( ^ [SX3: a] : $false ) )
| ( SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( SY53
!= ( ^ [SY58: a] :
~ ( ~ ( sK13_SX0 @ SY58 )
| ~ ( SY52 @ SY58 ) ) ) ) )
| ( SY53
= ( ^ [SX3: a] : $false ) )
| ( SY53
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[372]) ).
thf(374,plain,
( ( ! [SY61: a > $o] :
( ~ ~ ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) ) )
| ( SY61
= ( ^ [SX3: a] : $false ) )
| ( SY61
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[373]) ).
thf(375,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( sK15_SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) ) )
| ( sK15_SY61
= ( ^ [SX3: a] : $false ) )
| ( sK15_SY61
= ( ^ [SX3: a] : ~ $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[374]) ).
thf(376,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( sK15_SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(377,plain,
( ( ( sK15_SY61
= ( ^ [SX3: a] : $false ) )
| ( sK15_SY61
= ( ^ [SX3: a] : ~ $false ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(378,plain,
( ( ~ ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( sK15_SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(379,plain,
( ( sK15_SY61
= ( ^ [SX3: a] : $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(380,plain,
( ( sK15_SY61
= ( ^ [SX3: a] : ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(381,plain,
( ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
| ( sK15_SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(382,plain,
( ( ! [SV29: a] :
( ( sK15_SY61 @ SV29 )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[379]) ).
thf(383,plain,
( ( sK15_SY61
= ( ^ [SX3: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[379]) ).
thf(384,plain,
( ( ! [SV30: a] :
( ( sK15_SY61 @ SV30 )
= ( ~ $false ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[380]) ).
thf(385,plain,
( ( sK15_SY61
= ( ^ [SX3: a] : ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[380]) ).
thf(386,plain,
( ( ~ ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(387,plain,
( ( sK15_SY61
!= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(388,plain,
( ( ( sK15_SY61 @ sK16_SV29 )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(389,plain,
( ( ( sK15_SY61 @ sK17_SV30 )
= ( ~ $false ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(390,plain,
( ( ~ ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(391,plain,
( ( sK15_SY61
= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(392,plain,
( ( ~ ( ( sK15_SY61 @ sK16_SV29 )
| $false )
| ~ ( ~ ( sK15_SY61 @ sK16_SV29 )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[388]) ).
thf(393,plain,
( ( ( sK15_SY61 @ sK16_SV29 )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[388]) ).
thf(394,plain,
( ( ~ ( ( sK15_SY61 @ sK17_SV30 )
| ~ $false )
| ~ ( ~ ( sK15_SY61 @ sK17_SV30 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[389]) ).
thf(395,plain,
( ( ( sK15_SY61 @ sK17_SV30 )
= ( ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[389]) ).
thf(396,plain,
( ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
| ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(397,plain,
( ( ! [SV31: a] :
( ( sK15_SY61 @ SV31 )
= ( ~ ( ~ ( sK13_SX0 @ SV31 )
| ~ ( sK14_SY52 @ SV31 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(398,plain,
( ( sK15_SY61
= ( ^ [SY66: a] :
~ ( ~ ( sK13_SX0 @ SY66 )
| ~ ( sK14_SY52 @ SY66 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(399,plain,
( ( ~ ( ( sK15_SY61 @ sK16_SV29 )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(400,plain,
( ( ~ ( ~ ( sK15_SY61 @ sK16_SV29 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(401,plain,
( ( ~ ( ( sK15_SY61 @ sK17_SV30 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(402,plain,
( ( ~ ( ~ ( sK15_SY61 @ sK17_SV30 )
| ~ ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(403,plain,
( ( ~ ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(404,plain,
( ( ~ ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(405,plain,
! [SV32: a] :
( ( ( sK15_SY61 @ SV32 )
= ( ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(406,plain,
( ( ( sK15_SY61 @ sK16_SV29 )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(407,plain,
( ( ~ ( sK15_SY61 @ sK16_SV29 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(408,plain,
( ( ( sK15_SY61 @ sK17_SV30 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(409,plain,
( ( ~ ( sK15_SY61 @ sK17_SV30 )
| ~ ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(410,plain,
( ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
| ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(411,plain,
( ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
| ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(412,plain,
! [SV32: a] :
( ( ~ ( ( sK15_SY61 @ SV32 )
| ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
| ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(413,plain,
! [SV32: a] :
( ( ( sK15_SY61 @ SV32 )
= ( ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(414,plain,
( ( ( sK15_SY61 @ sK16_SV29 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(415,plain,
( ( ( ~ ( sK15_SY61 @ sK16_SV29 ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(416,plain,
( ( ( sK15_SY61 @ sK17_SV30 )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(417,plain,
( ( ( ~ ( sK15_SY61 @ sK17_SV30 ) )
= $true )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(418,plain,
( ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(419,plain,
( ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(420,plain,
! [SV32: a] :
( ( ( ~ ( ( sK15_SY61 @ SV32 )
| ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(421,plain,
( ( ( sK15_SY61 @ sK16_SV29 )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(422,plain,
( ( $false = $false )
| ( ( sK15_SY61 @ sK17_SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(423,plain,
( ( ( sK15_SY61 @ sK17_SV30 )
= $false )
| ( ( ~ ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(424,plain,
( ( ( ! [SV33: a] :
( ( sK13_SX0 @ SV33 )
= $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[418]) ).
thf(425,plain,
( ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[418]) ).
thf(426,plain,
( ( ( ! [SV34: a] :
( ( sK14_SY52 @ SV34 )
= $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(427,plain,
( ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(428,plain,
! [SV32: a] :
( ( ( ( sK15_SY61 @ SV32 )
| ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(429,plain,
( ( $false = $false )
| ( ( sK15_SY61 @ sK16_SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(430,plain,
( ( ( ~ $false ) = $false )
| ( ( sK15_SY61 @ sK17_SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(431,plain,
! [SV35: a] :
( ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(432,plain,
( ( ( ! [SV36: a] :
( ( sK13_SX0 @ SV36 )
= ( ~ $false ) ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(433,plain,
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(434,plain,
! [SV37: a] :
( ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(435,plain,
( ( ( ! [SV38: a] :
( ( sK14_SY52 @ SV38 )
= ( ~ $false ) ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(436,plain,
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(437,plain,
! [SV32: a] :
( ( ( sK15_SY61 @ SV32 )
= $false )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(438,plain,
! [SV32: a] :
( ( ( ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(439,plain,
( ( $false = $true )
| ( ( sK15_SY61 @ sK17_SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(440,plain,
! [SV35: a] :
( ( ( ~ ( ( sK13_SX0 @ SV35 )
| $false )
| ~ ( ~ ( sK13_SX0 @ SV35 )
| ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(441,plain,
! [SV35: a] :
( ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(442,plain,
! [SV39: a] :
( ( ( ( sK13_SX0 @ SV39 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(443,plain,
! [SV37: a] :
( ( ( ~ ( ( sK14_SY52 @ SV37 )
| $false )
| ~ ( ~ ( sK14_SY52 @ SV37 )
| ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(444,plain,
! [SV37: a] :
( ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(445,plain,
! [SV40: a] :
( ( ( ( sK14_SY52 @ SV40 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(446,plain,
! [SV32: a] :
( ( ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(447,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(448,plain,
! [SV35: a] :
( ( ( ~ ( ( sK13_SX0 @ SV35 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV35 )
| ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(449,plain,
! [SV35: a] :
( ( ( ! [SV41: a] :
( ( sK13_SX0 @ SV41 )
= ( ~ $false ) ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[441]) ).
thf(450,plain,
! [SV35: a] :
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[441]) ).
thf(451,plain,
! [SV39: a] :
( ( ( ~ ( ( sK13_SX0 @ SV39 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[442]) ).
thf(452,plain,
! [SV39: a] :
( ( ( ( sK13_SX0 @ SV39 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[442]) ).
thf(453,plain,
! [SV37: a] :
( ( ( ~ ( ( sK14_SY52 @ SV37 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV37 )
| ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(454,plain,
! [SV37: a] :
( ( ( ! [SV42: a] :
( ( sK14_SY52 @ SV42 )
= ( ~ $false ) ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(455,plain,
! [SV37: a] :
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(456,plain,
! [SV40: a] :
( ( ( ~ ( ( sK14_SY52 @ SV40 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(457,plain,
! [SV40: a] :
( ( ( ( sK14_SY52 @ SV40 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(458,plain,
! [SV32: a] :
( ( ( ~ ( sK15_SY61 @ SV32 ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(459,plain,
! [SV32: a] :
( ( ( ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(460,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 ) )
= $true )
| ( ( ~ ( sK14_SY52 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(461,plain,
! [SV35: a] :
( ( ( ( sK13_SX0 @ SV35 )
| $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV35 )
| ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(462,plain,
! [SV35: a,SV43: a] :
( ( ( ( sK13_SX0 @ SV43 )
= ( ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(463,plain,
! [SV39: a] :
( ( ( ~ ( ( sK13_SX0 @ SV39 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(464,plain,
! [SV37: a] :
( ( ( ( sK14_SY52 @ SV37 )
| $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV37 )
| ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(465,plain,
! [SV37: a,SV44: a] :
( ( ( ( sK14_SY52 @ SV44 )
= ( ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(466,plain,
! [SV40: a] :
( ( ( ~ ( ( sK14_SY52 @ SV40 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(467,plain,
! [SV32: a] :
( ( ( sK15_SY61 @ SV32 )
= $true )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(468,plain,
! [SV32: a] :
( ( ( ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $true )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(469,plain,
! [SV32: a] :
( ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( ~ ( sK14_SY52 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(470,plain,
! [SV35: a] :
( ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV35 )
| ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(471,plain,
! [SV35: a] :
( ( $false = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV35 )
| ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(472,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( ( sK13_SX0 @ SV43 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[462]) ).
thf(473,plain,
! [SV35: a,SV43: a] :
( ( ( ( sK13_SX0 @ SV43 )
= ( ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[462]) ).
thf(474,plain,
! [SV39: a] :
( ( ( ( sK13_SX0 @ SV39 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(475,plain,
! [SV37: a] :
( ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV37 )
| ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(476,plain,
! [SV37: a] :
( ( $false = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV37 )
| ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(477,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( ( sK14_SY52 @ SV44 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[465]) ).
thf(478,plain,
! [SV37: a,SV44: a] :
( ( ( ( sK14_SY52 @ SV44 )
= ( ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[465]) ).
thf(479,plain,
! [SV40: a] :
( ( ( ( sK14_SY52 @ SV40 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(480,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(481,plain,
! [SV32: a] :
( ( ( sK14_SY52 @ SV32 )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( ~ ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(482,plain,
! [SV35: a] :
( ( ( ~ ( sK13_SX0 @ SV35 )
| ~ $false )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(483,plain,
! [SV35: a] :
( ( ( ~ ( sK13_SX0 @ SV35 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(484,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( ( sK13_SX0 @ SV43 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(485,plain,
! [SV39: a] :
( ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(486,plain,
! [SV39: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(487,plain,
! [SV37: a] :
( ( ( ~ ( sK14_SY52 @ SV37 )
| ~ $false )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(488,plain,
! [SV37: a] :
( ( ( ~ ( sK14_SY52 @ SV37 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(489,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( ( sK14_SY52 @ SV44 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV40: a] :
( ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(491,plain,
! [SV40: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(492,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(493,plain,
! [SV32: a] :
( ( ( ~ ( sK14_SY52 @ SV32 ) )
= $false )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(494,plain,
! [SV32: a] :
( ( ( ~ ( sK15_SY61 @ SV32 )
| ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(495,plain,
! [SV35: a] :
( ( ( ~ ( sK13_SX0 @ SV35 ) )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(496,plain,
! [SV35: a] :
( ( ( ~ $false ) = $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(497,plain,
! [SV35: a] :
( ( ( ~ ( sK13_SX0 @ SV35 ) )
= $false )
| ( $false = $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(498,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(499,plain,
! [SV35: a,SV43: a] :
( ( ( ( sK13_SX0 @ SV43 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(500,plain,
! [SV39: a] :
( ( ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(501,plain,
! [SV39: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(502,plain,
! [SV37: a] :
( ( ( ~ ( sK14_SY52 @ SV37 ) )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(503,plain,
! [SV37: a] :
( ( ( ~ $false ) = $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(504,plain,
! [SV37: a] :
( ( ( ~ ( sK14_SY52 @ SV37 ) )
= $false )
| ( $false = $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(505,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(506,plain,
! [SV37: a,SV44: a] :
( ( ( ( sK14_SY52 @ SV44 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(507,plain,
! [SV40: a] :
( ( ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(508,plain,
! [SV40: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(509,plain,
! [SV32: a] :
( ( ( sK13_SX0 @ SV32 )
= $true )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(510,plain,
! [SV32: a] :
( ( ( sK14_SY52 @ SV32 )
= $true )
| ( ( sK15_SY61 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(511,plain,
! [SV32: a] :
( ( ( ~ ( sK15_SY61 @ SV32 ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(512,plain,
! [SV32: a] :
( ( ( ~ ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(513,plain,
! [SV35: a] :
( ( ( sK13_SX0 @ SV35 )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(514,plain,
! [SV35: a] :
( ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(515,plain,
! [SV35: a] :
( ( ( sK13_SX0 @ SV35 )
= $true )
| ( $false = $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(516,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(517,plain,
! [SV35: a,SV43: a] :
( ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(518,plain,
! [SV35: a,SV43: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(519,plain,
! [SV39: a] :
( ( ( ~ ( sK13_SX0 @ SV39 ) )
= $false )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(520,plain,
! [SV39: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(521,plain,
! [SV39: a] :
( ( ( ~ ( sK13_SX0 @ SV39 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(522,plain,
! [SV37: a] :
( ( ( sK14_SY52 @ SV37 )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(523,plain,
! [SV37: a] :
( ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(524,plain,
! [SV37: a] :
( ( ( sK14_SY52 @ SV37 )
= $true )
| ( $false = $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(525,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(526,plain,
! [SV37: a,SV44: a] :
( ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(527,plain,
! [SV37: a,SV44: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(528,plain,
! [SV40: a] :
( ( ( ~ ( sK14_SY52 @ SV40 ) )
= $false )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(529,plain,
! [SV40: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(530,plain,
! [SV40: a] :
( ( ( ~ ( sK14_SY52 @ SV40 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(531,plain,
! [SV32: a] :
( ( ( sK15_SY61 @ SV32 )
= $true )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(532,plain,
! [SV32: a] :
( ( ( ~ ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) ) )
= $true )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(533,plain,
! [SV35: a] :
( ( ( ! [SV45: a] :
( ( sK13_SX0 @ SV45 )
= ( ~ $false ) ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(534,plain,
! [SV35: a] :
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(535,plain,
! [SV35: a] :
( ( ( ! [SV46: a] :
( ( sK13_SX0 @ SV46 )
= ( ~ $false ) ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(536,plain,
! [SV35: a] :
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(537,plain,
! [SV35: a] :
( ( ( ! [SV47: a] :
( ( sK13_SX0 @ SV47 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(538,plain,
! [SV35: a] :
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(539,plain,
( ( ( ! [SV48: a] :
( ( sK13_SX0 @ SV48 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(540,plain,
( ( ( sK13_SX0
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(541,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(542,plain,
! [SV35: a,SV43: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(543,plain,
! [SV39: a] :
( ( ( sK13_SX0 @ SV39 )
= $true )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(544,plain,
! [SV39: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(545,plain,
! [SV39: a] :
( ( ( ~ ( sK13_SX0 @ SV39 ) )
= $false )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(546,plain,
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(547,plain,
! [SV37: a] :
( ( ( ! [SV49: a] :
( ( sK14_SY52 @ SV49 )
= ( ~ $false ) ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(548,plain,
! [SV37: a] :
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(549,plain,
! [SV37: a] :
( ( ( ! [SV50: a] :
( ( sK14_SY52 @ SV50 )
= ( ~ $false ) ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[523]) ).
thf(550,plain,
! [SV37: a] :
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[523]) ).
thf(551,plain,
! [SV37: a] :
( ( ( ! [SV51: a] :
( ( sK14_SY52 @ SV51 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(552,plain,
! [SV37: a] :
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(553,plain,
( ( ( ! [SV52: a] :
( ( sK14_SY52 @ SV52 )
= ( ~ $false ) ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[525]) ).
thf(554,plain,
( ( ( sK14_SY52
= ( ^ [SX3: a] : ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[525]) ).
thf(555,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(556,plain,
! [SV37: a,SV44: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false ) )
= $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(557,plain,
! [SV40: a] :
( ( ( sK14_SY52 @ SV40 )
= $true )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(558,plain,
! [SV40: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(559,plain,
! [SV40: a] :
( ( ( ~ ( sK14_SY52 @ SV40 ) )
= $false )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(560,plain,
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(561,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 )
| ~ ( sK14_SY52 @ SV32 ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(562,plain,
! [SV35: a,SV53: a] :
( ( ( ( sK13_SX0 @ SV53 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(563,plain,
! [SV35: a,SV54: a] :
( ( ( ( sK13_SX0 @ SV54 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(564,plain,
! [SV35: a,SV55: a] :
( ( ( ( sK13_SX0 @ SV55 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(565,plain,
! [SV56: a] :
( ( ( ( sK13_SX0 @ SV56 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(566,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( sK13_SX0 @ SV43 ) )
= $false )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(567,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(568,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( sK13_SX0 @ SV43 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(569,plain,
! [SV39: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV39 )
= $false )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(570,plain,
! [SV39: a] :
( ( ( sK13_SX0 @ SV39 )
= $true )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(571,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(572,plain,
! [SV37: a,SV57: a] :
( ( ( ( sK14_SY52 @ SV57 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(573,plain,
! [SV37: a,SV58: a] :
( ( ( ( sK14_SY52 @ SV58 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(574,plain,
! [SV37: a,SV59: a] :
( ( ( ( sK14_SY52 @ SV59 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(575,plain,
! [SV60: a] :
( ( ( ( sK14_SY52 @ SV60 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(576,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( sK14_SY52 @ SV44 ) )
= $false )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(577,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(578,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( sK14_SY52 @ SV44 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(579,plain,
! [SV40: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV40 )
= $false )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(580,plain,
! [SV40: a] :
( ( ( sK14_SY52 @ SV40 )
= $true )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(581,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(582,plain,
! [SV32: a] :
( ( ( ~ ( sK13_SX0 @ SV32 ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(583,plain,
! [SV32: a] :
( ( ( ~ ( sK14_SY52 @ SV32 ) )
= $false )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(584,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( ( sK13_SX0 @ SV53 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(585,plain,
! [SV35: a,SV53: a] :
( ( ( ( sK13_SX0 @ SV53 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(586,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( ( sK13_SX0 @ SV54 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(587,plain,
! [SV35: a,SV54: a] :
( ( ( ( sK13_SX0 @ SV54 )
= ( ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(588,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( ( sK13_SX0 @ SV55 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(589,plain,
! [SV35: a,SV55: a] :
( ( ( ( sK13_SX0 @ SV55 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(590,plain,
! [SV56: a] :
( ( ( ~ ( ( sK13_SX0 @ SV56 )
| ~ $false )
| ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(591,plain,
! [SV56: a] :
( ( ( ( sK13_SX0 @ SV56 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(592,plain,
! [SV35: a,SV43: a] :
( ( ( sK13_SX0 @ SV43 )
= $true )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(593,plain,
! [SV35: a,SV43: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(594,plain,
! [SV35: a,SV43: a] :
( ( ( ~ ( sK13_SX0 @ SV43 ) )
= $false )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(595,plain,
! [SV35: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(596,plain,
( ( $false = $false )
| ( $false = $true )
| ( ( sK13_SX0
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(597,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( ( sK14_SY52 @ SV57 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[572]) ).
thf(598,plain,
! [SV37: a,SV57: a] :
( ( ( ( sK14_SY52 @ SV57 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[572]) ).
thf(599,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( ( sK14_SY52 @ SV58 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(600,plain,
! [SV37: a,SV58: a] :
( ( ( ( sK14_SY52 @ SV58 )
= ( ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(601,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( ( sK14_SY52 @ SV59 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(602,plain,
! [SV37: a,SV59: a] :
( ( ( ( sK14_SY52 @ SV59 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(603,plain,
! [SV60: a] :
( ( ( ~ ( ( sK14_SY52 @ SV60 )
| ~ $false )
| ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(604,plain,
! [SV60: a] :
( ( ( ( sK14_SY52 @ SV60 )
= ( ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(605,plain,
! [SV37: a,SV44: a] :
( ( ( sK14_SY52 @ SV44 )
= $true )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(606,plain,
! [SV37: a,SV44: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(607,plain,
! [SV37: a,SV44: a] :
( ( ( ~ ( sK14_SY52 @ SV44 ) )
= $false )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(608,plain,
! [SV37: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(609,plain,
( ( $false = $false )
| ( $false = $true )
| ( ( sK14_SY52
= ( ^ [SX3: a] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(610,plain,
! [SV32: a] :
( ( ( sK13_SX0 @ SV32 )
= $true )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(611,plain,
! [SV32: a] :
( ( ( sK14_SY52 @ SV32 )
= $true )
| ( ( sK13_SX0 @ SV32 )
= $false )
| ( ( sK14_SY52 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(612,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( ( sK13_SX0 @ SV53 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(613,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( ( sK13_SX0 @ SV54 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(614,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( ( sK13_SX0 @ SV55 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(615,plain,
! [SV56: a] :
( ( ( ~ ( ( sK13_SX0 @ SV56 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(616,plain,
! [SV35: a,SV43: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV43 )
= $false )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(617,plain,
! [SV35: a,SV43: a] :
( ( ( sK13_SX0 @ SV43 )
= $true )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(618,plain,
! [SV35: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(619,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( ( sK14_SY52 @ SV57 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(620,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( ( sK14_SY52 @ SV58 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(621,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( ( sK14_SY52 @ SV59 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(622,plain,
! [SV60: a] :
( ( ( ~ ( ( sK14_SY52 @ SV60 )
| ~ $false ) )
= $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(623,plain,
! [SV37: a,SV44: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV44 )
= $false )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(624,plain,
! [SV37: a,SV44: a] :
( ( ( sK14_SY52 @ SV44 )
= $true )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(625,plain,
! [SV37: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(626,plain,
! [SV35: a,SV53: a] :
( ( ( ( sK13_SX0 @ SV53 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(627,plain,
! [SV35: a,SV54: a] :
( ( ( ( sK13_SX0 @ SV54 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(628,plain,
! [SV35: a,SV55: a] :
( ( ( ( sK13_SX0 @ SV55 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(629,plain,
! [SV56: a] :
( ( ( ( sK13_SX0 @ SV56 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(630,plain,
! [SV35: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( ( sK13_SX0 @ SV35 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(631,plain,
! [SV37: a,SV57: a] :
( ( ( ( sK14_SY52 @ SV57 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(632,plain,
! [SV37: a,SV58: a] :
( ( ( ( sK14_SY52 @ SV58 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(633,plain,
! [SV37: a,SV59: a] :
( ( ( ( sK14_SY52 @ SV59 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(634,plain,
! [SV60: a] :
( ( ( ( sK14_SY52 @ SV60 )
| ~ $false )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(635,plain,
! [SV37: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( ( sK14_SY52 @ SV37 )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(636,plain,
! [SV35: a,SV53: a] :
( ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(637,plain,
! [SV35: a,SV53: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(638,plain,
! [SV35: a,SV54: a] :
( ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(639,plain,
! [SV35: a,SV54: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(640,plain,
! [SV35: a,SV55: a] :
( ( ( sK13_SX0 @ SV55 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(641,plain,
! [SV35: a,SV55: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(642,plain,
! [SV56: a] :
( ( ( sK13_SX0 @ SV56 )
= $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(643,plain,
! [SV56: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(644,plain,
! [SV37: a,SV57: a] :
( ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(645,plain,
! [SV37: a,SV57: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(646,plain,
! [SV37: a,SV58: a] :
( ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(647,plain,
! [SV37: a,SV58: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(648,plain,
! [SV37: a,SV59: a] :
( ( ( sK14_SY52 @ SV59 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(649,plain,
! [SV37: a,SV59: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(650,plain,
! [SV60: a] :
( ( ( sK14_SY52 @ SV60 )
= $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(651,plain,
! [SV60: a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(652,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(653,plain,
! [SV35: a,SV53: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(654,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(655,plain,
! [SV35: a,SV54: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false ) )
= $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(656,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(657,plain,
! [SV35: a,SV55: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(658,plain,
! [SV56: a] :
( ( ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(659,plain,
! [SV56: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(660,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(661,plain,
! [SV37: a,SV57: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(662,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(663,plain,
! [SV37: a,SV58: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false ) )
= $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(664,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(665,plain,
! [SV37: a,SV59: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(666,plain,
! [SV60: a] :
( ( ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(667,plain,
! [SV60: a] :
( ( $false = $true )
| ( ( ~ ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(668,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( sK13_SX0 @ SV53 ) )
= $false )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(669,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(670,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( sK13_SX0 @ SV53 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(671,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( sK13_SX0 @ SV54 ) )
= $false )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(672,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(673,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( sK13_SX0 @ SV54 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(674,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( sK13_SX0 @ SV55 ) )
= $false )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(675,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(676,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( sK13_SX0 @ SV55 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(677,plain,
! [SV56: a] :
( ( ( ~ ( sK13_SX0 @ SV56 ) )
= $false )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(678,plain,
! [SV56: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(679,plain,
! [SV56: a] :
( ( ( ~ ( sK13_SX0 @ SV56 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(680,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( sK14_SY52 @ SV57 ) )
= $false )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(681,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(682,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( sK14_SY52 @ SV57 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(683,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( sK14_SY52 @ SV58 ) )
= $false )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(684,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(685,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( sK14_SY52 @ SV58 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(686,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( sK14_SY52 @ SV59 ) )
= $false )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(687,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(688,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( sK14_SY52 @ SV59 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(689,plain,
! [SV60: a] :
( ( ( ~ ( sK14_SY52 @ SV60 ) )
= $false )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(690,plain,
! [SV60: a] :
( ( ( ~ ~ $false )
= $false )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(691,plain,
! [SV60: a] :
( ( ( ~ ( sK14_SY52 @ SV60 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(692,plain,
! [SV35: a,SV53: a] :
( ( ( sK13_SX0 @ SV53 )
= $true )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(693,plain,
! [SV35: a,SV53: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(694,plain,
! [SV35: a,SV53: a] :
( ( ( ~ ( sK13_SX0 @ SV53 ) )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(695,plain,
! [SV35: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(696,plain,
! [SV35: a,SV54: a] :
( ( ( sK13_SX0 @ SV54 )
= $true )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[671]) ).
thf(697,plain,
! [SV35: a,SV54: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(698,plain,
! [SV35: a,SV54: a] :
( ( ( ~ ( sK13_SX0 @ SV54 ) )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(699,plain,
! [SV35: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(700,plain,
! [SV35: a,SV55: a] :
( ( ( sK13_SX0 @ SV55 )
= $true )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(701,plain,
! [SV35: a,SV55: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(702,plain,
! [SV35: a,SV55: a] :
( ( ( ~ ( sK13_SX0 @ SV55 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(703,plain,
! [SV35: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(704,plain,
! [SV56: a] :
( ( ( sK13_SX0 @ SV56 )
= $true )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(705,plain,
! [SV56: a] :
( ( ( ~ $false ) = $true )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(706,plain,
! [SV56: a] :
( ( ( ~ ( sK13_SX0 @ SV56 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(707,plain,
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(708,plain,
! [SV37: a,SV57: a] :
( ( ( sK14_SY52 @ SV57 )
= $true )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(709,plain,
! [SV37: a,SV57: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(710,plain,
! [SV37: a,SV57: a] :
( ( ( ~ ( sK14_SY52 @ SV57 ) )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(711,plain,
! [SV37: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(712,plain,
! [SV37: a,SV58: a] :
( ( ( sK14_SY52 @ SV58 )
= $true )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(713,plain,
! [SV37: a,SV58: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(714,plain,
! [SV37: a,SV58: a] :
( ( ( ~ ( sK14_SY52 @ SV58 ) )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(715,plain,
! [SV37: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(716,plain,
! [SV37: a,SV59: a] :
( ( ( sK14_SY52 @ SV59 )
= $true )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(717,plain,
! [SV37: a,SV59: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(718,plain,
! [SV37: a,SV59: a] :
( ( ( ~ ( sK14_SY52 @ SV59 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(719,plain,
! [SV37: a] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(720,plain,
! [SV60: a] :
( ( ( sK14_SY52 @ SV60 )
= $true )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(721,plain,
! [SV60: a] :
( ( ( ~ $false ) = $true )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(722,plain,
! [SV60: a] :
( ( ( ~ ( sK14_SY52 @ SV60 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(723,plain,
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(724,plain,
! [SV35: a,SV53: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV53 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(725,plain,
! [SV35: a,SV53: a] :
( ( ( sK13_SX0 @ SV53 )
= $true )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(726,plain,
! [SV35: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(727,plain,
! [SV35: a,SV54: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV54 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(728,plain,
! [SV35: a,SV54: a] :
( ( ( sK13_SX0 @ SV54 )
= $true )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(729,plain,
! [SV35: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(730,plain,
! [SV35: a,SV55: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV55 )
= $false )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(731,plain,
! [SV35: a,SV55: a] :
( ( ( sK13_SX0 @ SV55 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(732,plain,
! [SV35: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(733,plain,
! [SV56: a] :
( ( $false = $false )
| ( ( sK13_SX0 @ SV56 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(734,plain,
! [SV56: a] :
( ( ( sK13_SX0 @ SV56 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(735,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(736,plain,
! [SV37: a,SV57: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV57 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(737,plain,
! [SV37: a,SV57: a] :
( ( ( sK14_SY52 @ SV57 )
= $true )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(738,plain,
! [SV37: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(739,plain,
! [SV37: a,SV58: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV58 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(740,plain,
! [SV37: a,SV58: a] :
( ( ( sK14_SY52 @ SV58 )
= $true )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(741,plain,
! [SV37: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(742,plain,
! [SV37: a,SV59: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV59 )
= $false )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(743,plain,
! [SV37: a,SV59: a] :
( ( ( sK14_SY52 @ SV59 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(744,plain,
! [SV37: a] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(745,plain,
! [SV60: a] :
( ( $false = $false )
| ( ( sK14_SY52 @ SV60 )
= $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(746,plain,
! [SV60: a] :
( ( ( sK14_SY52 @ SV60 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(747,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[723]) ).
thf(748,plain,
! [SV35: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(749,plain,
! [SV35: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( sK13_SX0 @ SV35 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(750,plain,
! [SV35: a] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK13_SX0 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(751,plain,
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(752,plain,
! [SV37: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(753,plain,
! [SV37: a] :
( ( $false = $false )
| ( $false = $true )
| ( ( sK14_SY52 @ SV37 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(754,plain,
! [SV37: a] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( sK14_SY52 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(755,plain,
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(756,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[383,755,754,753,752,751,750,749,748,746,745,743,742,740,739,737,736,734,733,731,730,728,727,725,724,720,716,712,708,704,700,696,692,635,630,624,623,617,616,611,610,609,605,604,602,600,598,596,592,591,589,587,585,580,579,570,569,557,554,552,550,548,543,540,538,536,534,531,510,509,478,473,467,457,455,452,450,439,436,433,429,422,414,413,398,395,393,385]) ).
thf(757,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[756,68,128,369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV261^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.12 % Computer : n012.cluster.edu
% 0.09/0.12 % Model : x86_64 x86_64
% 0.09/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.12 % Memory : 8046.5625MB
% 0.09/0.12 % OS : Linux 6.8.0-71-generic
% 0.09/0.12 % CPULimit : 300
% 0.09/0.12 % WCLimit : 300
% 0.09/0.12 % DateTime : Tue Oct 6 15:43:31 UTC 2026
% 0.09/0.12 % CPUTime :
% 0.09/0.12 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.09/0.60
% 2.09/0.60 No.of.Axioms: 0
% 2.09/0.60
% 2.09/0.60 Length.of.Defs: 0
% 2.09/0.60
% 2.09/0.60 Contains.Choice.Funs: false
% 2.09/0.60 .........
% 2.09/0.60
% 2.09/0.60 ********************************
% 2.09/0.60 * All subproblems solved! *
% 2.09/0.60 ********************************
% 2.09/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:756,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.09/0.60
% 2.09/0.60 %**** Beginning of derivation protocol ****
% 2.09/0.60 % SZS output start CNFRefutation
% See solution above
% 2.09/0.60
% 2.09/0.60 %**** End of derivation protocol ****
% 2.09/0.60 %**** no. of clauses in derivation: 757 ****
% 2.09/0.60 %**** clause counter: 756 ****
% 2.09/0.60
% 2.09/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:756,loop_count:0,foatp_calls:1,translation:fof_full)
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