%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV385^5 : 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 : n003.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 10:50:00 AM UTC 2026
% Result : Theorem 2.39s 0.67s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 197 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 2021 (1429 equ; 0 cnn)
% Maximal formula atoms : 5 ( 10 avg)
% Number of connectives : 3104 ( 433 ~; 532 |; 14 &;2117 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 283 ( 283 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 8 con; 0-3 aty)
% Number of variables : 726 ( 320 ^; 398 !; 8 ?; 726 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_E,type,
sK10_E: ( b > b > b > b > a ) > b ).
thf(tp_sK11_E,type,
sK11_E: ( b > b > b > b > b > a ) > b ).
thf(tp_sK12_E,type,
sK12_E: ( b > b > b > b > b > b > a ) > b ).
thf(tp_sK13_SV69,type,
sK13_SV69: b > ( b > a ) > b ).
thf(tp_sK14_E,type,
sK14_E: b > ( b > a ) > b ).
thf(tp_sK15_E,type,
sK15_E: b ).
thf(tp_sK16_E,type,
sK16_E: b ).
thf(tp_sK17_E,type,
sK17_E: b ).
thf(tp_sK18_E,type,
sK18_E: b ).
thf(tp_sK19_SV72,type,
sK19_SV72: b > ( b > a ) > b ).
thf(tp_sK1_SY2,type,
sK1_SY2: ( b > a ) > a ).
thf(tp_sK20_E,type,
sK20_E: ( b > a ) > b > b ).
thf(tp_sK21_E,type,
sK21_E: b > ( b > b > a ) > b ).
thf(tp_sK22_E,type,
sK22_E: ( b > a ) > b > ( b > b > a ) > b ).
thf(tp_sK23_E,type,
sK23_E: ( b > a ) > b > b ).
thf(tp_sK24_E,type,
sK24_E: b > ( b > b > a ) > b ).
thf(tp_sK25_E,type,
sK25_E: ( b > a ) > b > ( b > b > a ) > b ).
thf(tp_sK26_E,type,
sK26_E: b > ( b > a ) > b ).
thf(tp_sK2_Xx_6,type,
sK2_Xx_6: ( b > a ) > b ).
thf(tp_sK3_SV4,type,
sK3_SV4: b > ( b > a ) > b ).
thf(tp_sK4_SV5,type,
sK4_SV5: b > ( b > a ) > b ).
thf(tp_sK5_SV8,type,
sK5_SV8: b > ( b > a ) > b ).
thf(tp_sK6_E,type,
sK6_E: b > ( b > a ) > b ).
thf(tp_sK7_E,type,
sK7_E: b > ( b > a ) > b ).
thf(tp_sK8_E,type,
sK8_E: ( b > b > a ) > b ).
thf(tp_sK9_E,type,
sK9_E: ( b > b > b > a ) > b ).
thf(tp_x,type,
x: b ).
thf(tp_y,type,
y: a ).
thf(1,conjecture,
? [Xs: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( Xs @ Xx_6 ) ) )
& ! [Xy_56: a] :
( ( y = Xy_56 )
=> ? [Xy0: b] :
( ( ^ [Xx_7: b] :
( ( x = Xx_7 )
& ( Xy_56
= ( Xs @ Xx_7 ) ) ) )
= ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
@ Xy0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6004_pme) ).
thf(2,negated_conjecture,
( ( ? [Xs: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( Xs @ Xx_6 ) ) )
& ! [Xy_56: a] :
( ( y = Xy_56 )
=> ? [Xy0: b] :
( ( ^ [Xx_7: b] :
( ( x = Xx_7 )
& ( Xy_56
= ( Xs @ Xx_7 ) ) ) )
= ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
@ Xy0 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [SY0: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( SY0 @ Xx_6 ) ) )
& ! [SY2: a] :
( ( y = SY2 )
=> ? [SY3: b] :
( ( ^ [Xx_7: b] :
( ( x = Xx_7 )
& ( SY2
= ( SY0 @ Xx_7 ) ) ) )
= ( ^ [SY5: b] : ( SY3 = SY5 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [SY0: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( SY0 @ Xx_6 ) ) )
& ! [SY2: a] :
( ( y = SY2 )
=> ? [SY3: b] :
( ( ^ [Xx_7: b] :
( ( x = Xx_7 )
& ( SY2
= ( SY0 @ Xx_7 ) ) ) )
= ( ^ [SY5: b] : ( SY3 = SY5 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SY0 ) )
& ( y
!= ( SY0 @ ( sK2_Xx_6 @ SY0 ) ) ) )
| ( ( y
= ( sK1_SY2 @ SY0 ) )
& ! [SY12: b] :
( ( ^ [SY13: b] :
( ( x = SY13 )
& ( ( sK1_SY2 @ SY0 )
= ( SY0 @ SY13 ) ) ) )
!= ( ^ [SY5: b] : ( SY12 = SY5 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY0: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SY0 ) )
& ( y
!= ( SY0 @ ( sK2_Xx_6 @ SY0 ) ) ) )
| ( ( y
= ( sK1_SY2 @ SY0 ) )
& ! [SY12: b] :
( ( ^ [SY13: b] :
( ( x = SY13 )
& ( ( sK1_SY2 @ SY0 )
= ( SY0 @ SY13 ) ) ) )
!= ( ^ [SY5: b] : ( SY12 = SY5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: b > a] :
( ~ ( ( x
!= ( sK2_Xx_6 @ SX0 ) )
| ~ ( ( y
!= ( SX0 @ ( sK2_Xx_6 @ SX0 ) ) ) ) )
| ~ ( ( y
!= ( sK1_SY2 @ SX0 ) )
| ~ ! [SX1: b] :
( ( ^ [SX2: b] :
~ ( ( x != SX2 )
| ( ( sK1_SY2 @ SX0 )
!= ( SX0 @ SX2 ) ) ) )
!= ( ^ [SX2: b] : ( SX1 = SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: b > a] :
( ( ~ ( ( x
!= ( sK2_Xx_6 @ SV1 ) )
| ~ ( ( y
!= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) ) ) )
| ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: b > a] :
( ( ( ~ ( ( x
!= ( sK2_Xx_6 @ SV1 ) )
| ~ ( ( y
!= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: b > a] :
( ( ( ( x
!= ( sK2_Xx_6 @ SV1 ) )
| ~ ( ( y
!= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: b > a] :
( ( ( x
!= ( sK2_Xx_6 @ SV1 ) )
= $false )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: b > a] :
( ( ( ~ ( ( y
!= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: b > a] :
( ( ( y
!= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $true )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: b > a] :
( ( ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: b > a] :
( ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false )
| ( ( ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: b > a] :
( ( ( y
!= ( sK1_SY2 @ SV1 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: b > a] :
( ( ( ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: b > a] :
( ( ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: b > a] :
( ( ( y
= ( sK1_SY2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: b > a] :
( ( ( ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: b > a] :
( ( ( y
!= ( sK1_SY2 @ SV1 ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: b > a] :
( ( ( ~ ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SY19: b] : ( SV2 = SY19 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: b > a] :
( ( ( y
= ( sK1_SY2 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: b > a] :
( ( ( ! [SY15: b] :
( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SX2: b] : ( SY15 = SX2 ) ) ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
= ( ^ [SY19: b] : ( SV2 = SY19 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
!= ( ^ [SY21: b] : ( SV3 = SY21 ) ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: b,SV1: b > a] :
( ( ( ! [SV4: b] :
( ( ~ ( ( x != SV4 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SV4 ) ) ) )
= ( SV2 = SV4 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
= ( ^ [SY19: b] : ( SV2 = SY19 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
= ( ^ [SY21: b] : ( SV3 = SY21 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) ) )
= ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(33,plain,
! [SV3: b,SV1: b > a] :
( ( ( ! [SV5: b] :
( ( ~ ( ( x != SV5 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SV5 ) ) ) )
= ( SV3 = SV5 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( ^ [SY16: b] :
~ ( ( x != SY16 )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ SY16 ) ) ) )
= ( ^ [SY21: b] : ( SV3 = SY21 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) ) )
| ~ ( ~ ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) ) )
= ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: b > a,SV3: b] :
( ( ( ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) ) )
= ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(38,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ~ ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) ) )
| ~ ( ~ ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV1: b > a,SV3: b] :
( ( ( ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) ) )
= ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
| ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ~ ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
| ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: b > a,SV2: b] :
( ( ( ~ ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) ) )
= $true )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) ) )
= $true )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: b > a,SV3: b] :
( ( ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
= $false )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: b > a,SV3: b] :
( ( ( ~ ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) ) )
= $false )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV1: b > a,SV3: b] :
( ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $false )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $false )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: b > a,SV3: b] :
( ( ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) ) )
= $true )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV1: b > a,SV3: b] :
( ( ( x
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $true )
| ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
! [SV1: b > a,SV3: b] :
( ( ( x
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $true )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2
!= ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV1: b > a,SV3: b] :
( ( ( x
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $false )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $true )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV1: b > a,SV2: b] :
( ( ( SV2
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( x
= ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(72,plain,
! [SV3: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $false )
| ( ( SV3
!= ( sK4_SV5 @ SV3 @ SV1 ) )
= $true )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV1: b > a,SV3: b] :
( ( ( SV3
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $false )
| ( ( x
= ( sK4_SV5 @ SV3 @ SV1 ) )
= $false )
| ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK4_SV5 @ SV3 @ SV1 ) ) )
= $false )
| ( ( y
= ( SV1 @ ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(74,plain,
! [SV1: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( ( y
= ( sK1_SY2 @ SV1 ) )
= ( x
= ( sK2_Xx_6 @ SV1 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[20]) ).
thf(77,plain,
! [SV1: b > a] :
( ( ( ~ ( ( y
= ( sK1_SY2 @ SV1 ) )
| ( x
= ( sK2_Xx_6 @ SV1 ) ) )
| ~ ( ( y
!= ( sK1_SY2 @ SV1 ) )
| ( x
!= ( sK2_Xx_6 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV1: b > a] :
( ( ( ~ ( ( y
= ( sK1_SY2 @ SV1 ) )
| ( x
= ( sK2_Xx_6 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(89,plain,
! [SV1: b > a] :
( ( ( ( y
= ( sK1_SY2 @ SV1 ) )
| ( x
= ( sK2_Xx_6 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(95,plain,
! [SV1: b > a] :
( ( ( y
= ( sK1_SY2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(260,plain,
! [SV2: b,SV1: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[30]) ).
thf(261,plain,
! [SV2: b,SV1: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $false ) ),
inference(extuni,[status(esa)],[30]) ).
thf(262,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(263,plain,
! [SV1: b > a,SV2: b] :
( ( ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
| ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(264,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
= $true )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(265,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
!= ( sK6_E @ SV2 @ SV1 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(266,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(267,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
= ( sK6_E @ SV2 @ SV1 ) )
= $false )
| ( ( ( sK1_SY2 @ SV1 )
!= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(268,plain,
! [SV1: b > a,SV2: b] :
( ( ( x
= ( sK6_E @ SV2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(269,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(270,plain,
! [SV2: b,SV1: b > a] :
( ( ( ( sK1_SY2 @ SV1 )
= ( SV1 @ ( sK6_E @ SV2 @ SV1 ) ) )
= $false )
| ( ( x
= ( sK6_E @ SV2 @ SV1 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK6_E @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(271,plain,
! [SV1: b > a] :
( ( ( y
= ( sK1_SY2 @ SV1 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[95]) ).
thf(272,plain,
! [SV10: b > a] :
( ( ( y
= ( sK1_SY2 @ SV10 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true ) ),
inference(rename,[status(thm)],[20]) ).
thf(274,plain,
! [SV11: b > a] :
( ( ( y
= ( sK1_SY2 @ SV11 ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false ) ),
inference(rename,[status(thm)],[25]) ).
thf(276,plain,
! [SV11: b > a,SV11: b > a] :
( ( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= ( y
= ( sK1_SY2 @ SV11 ) ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false ) ),
inference(res,[status(thm)],[274,274]) ).
thf(278,plain,
! [SV11: b > a,SV10: b > a] :
( ( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= ( y
= ( sK1_SY2 @ SV10 ) ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true ) ),
inference(res,[status(thm)],[274,272]) ).
thf(279,plain,
! [SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] : y ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV11,$thf( ^ [SX0: b] : y ))]]) ).
thf(280,plain,
! [SV16: b > b > a] :
( ( ( x
= ( sK2_Xx_6
@ ( SV16
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ) ) ) )
= $true )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[278:[bind(SV10,$thf( SV16 @ ( sK2_Xx_6 @ ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ) )),bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ))]]) ).
thf(281,plain,
! [SV16: b > b > a,SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV16
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV16 @ SX0 ) ) ))]]) ).
thf(283,plain,
! [SV53: b > b > b > b > b > b > a] :
( ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ( SV53
@ ( sK2_Xx_6
@ ^ [SX4: b] :
( sK1_SY2
@ ^ [SX5: b] :
( sK1_SY2
@ ^ [SX6: b] :
( sK1_SY2
@ ^ [SX7: b] :
( sK1_SY2
@ ^ [SX8: b] : ( sK1_SY2 @ ( SV53 @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 ) ) ) ) ) ) )
@ SX0
@ SX1
@ SX2
@ SX3 ) ) ) ) ) ) )
= $false )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV53
@ ( sK2_Xx_6
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: b,SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) ) )
@ ( sK9_E
@ ^ [SX0: b,SX1: b,SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) )
@ ( sK10_E
@ ^ [SX0: b,SX1: b,SX2: b,SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
@ ( sK11_E
@ ^ [SX0: b,SX1: b,SX2: b,SX3: b,SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) )
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ( SV53
@ ( sK8_E
@ ^ [SX1: b,SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] :
( sK1_SY2
@ ^ [SX5: b] : ( sK1_SY2 @ ( SV53 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) ) )
@ ( sK9_E
@ ^ [SX1: b,SX2: b,SX3: b] :
( sK1_SY2
@ ^ [SX4: b] :
( sK1_SY2
@ ^ [SX5: b] : ( sK1_SY2 @ ( SV53 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
@ ( sK10_E
@ ^ [SX1: b,SX2: b,SX3: b,SX4: b] :
( sK1_SY2
@ ^ [SX5: b] : ( sK1_SY2 @ ( SV53 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK11_E
@ ^ [SX1: b,SX2: b,SX3: b,SX4: b,SX5: b] : ( sK1_SY2 @ ( SV53 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ^ [SX1: b] : ( sK1_SY2 @ ^ [SX2: b] : ( sK1_SY2 @ ^ [SX3: b] : ( sK1_SY2 @ ^ [SX4: b] : ( sK1_SY2 @ ( SV53 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) ) ) ))]]) ).
thf(284,plain,
! [SV42: b > b > b > b > b > a] :
( ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ( SV42
@ ( sK2_Xx_6
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] :
( sK1_SY2
@ ^ [SX5: b] :
( sK1_SY2
@ ^ [SX6: b] : ( sK1_SY2 @ ( SV42 @ SX3 @ SX4 @ SX5 @ SX6 ) ) ) ) ) )
@ SX0
@ SX1
@ SX2 ) ) ) ) ) )
= $false )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV42
@ ( sK2_Xx_6
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: b,SX1: b] :
( sK1_SY2
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK9_E
@ ^ [SX0: b,SX1: b,SX2: b] :
( sK1_SY2
@ ^ [SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK10_E
@ ^ [SX0: b,SX1: b,SX2: b,SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ( SV42
@ ( sK8_E
@ ^ [SX1: b,SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV42 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) )
@ ( sK9_E
@ ^ [SX1: b,SX2: b,SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV42 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
@ ( sK10_E
@ ^ [SX1: b,SX2: b,SX3: b,SX4: b] : ( sK1_SY2 @ ( SV42 @ SX1 @ SX2 @ SX3 @ SX4 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ^ [SX1: b] : ( sK1_SY2 @ ^ [SX2: b] : ( sK1_SY2 @ ^ [SX3: b] : ( sK1_SY2 @ ( SV42 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ))]]) ).
thf(285,plain,
! [SV33: b > b > b > b > a] :
( ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ( SV33
@ ( sK2_Xx_6
@ ^ [SX2: b] :
( sK1_SY2
@ ^ [SX3: b] :
( sK1_SY2
@ ^ [SX4: b] : ( sK1_SY2 @ ( SV33 @ SX2 @ SX3 @ SX4 ) ) ) ) )
@ SX0
@ SX1 ) ) ) ) )
= $false )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] : ( sK1_SY2 @ ( SV33 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV33
@ ( sK2_Xx_6
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] : ( sK1_SY2 @ ( SV33 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: b,SX1: b] :
( sK1_SY2
@ ^ [SX2: b] : ( sK1_SY2 @ ( SV33 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK9_E
@ ^ [SX0: b,SX1: b,SX2: b] : ( sK1_SY2 @ ( SV33 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ( SV33
@ ( sK8_E
@ ^ [SX1: b,SX2: b] :
( sK1_SY2
@ ^ [SX3: b] : ( sK1_SY2 @ ( SV33 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK9_E
@ ^ [SX1: b,SX2: b,SX3: b] : ( sK1_SY2 @ ( SV33 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ^ [SX1: b] : ( sK1_SY2 @ ^ [SX2: b] : ( sK1_SY2 @ ( SV33 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(286,plain,
! [SV26: b > b > b > a] :
( ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ( SV26
@ ( sK2_Xx_6
@ ^ [SX1: b] :
( sK1_SY2
@ ^ [SX2: b] : ( sK1_SY2 @ ( SV26 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV26 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV26
@ ( sK2_Xx_6
@ ^ [SX0: b] :
( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV26 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: b,SX1: b] : ( sK1_SY2 @ ( SV26 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SY2
@ ^ [SX0: b] :
( sK1_SY2
@ ( SV26
@ ( sK8_E
@ ^ [SX1: b,SX2: b] : ( sK1_SY2 @ ( SV26 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ^ [SX1: b] : ( sK1_SY2 @ ( SV26 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(287,plain,
! [SV21: b > b > a] :
( ( ( y
= ( sK1_SY2
@ ( SV21
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV21 @ SX0 ) ) ) ) ) )
= $false )
| ( ( y
= ( sK1_SY2
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV21
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV21 @ SX0 ) ) ) ) )
= ( sK1_SY2
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV21 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV11,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV21 @ SX0 ) ) ))]]) ).
thf(288,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( ^ [SX0: b] :
~ ( ( x != SX0 )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ SX0 ) ) ) )
= ( ^ [SX0: b] : ( SV67 = SX0 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(rename,[status(thm)],[30]) ).
thf(295,plain,
! [SV67: b,SV68: b > a] :
( ( ( ! [SV69: b] :
( ( ~ ( ( x != SV69 )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ SV69 ) ) ) )
= ( SV67 = SV69 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[288]) ).
thf(296,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( ^ [SX0: b] :
~ ( ( x != SX0 )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ SX0 ) ) ) )
= ( ^ [SX0: b] : ( SV67 = SX0 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[288]) ).
thf(297,plain,
! [SV68: b > a,SV67: b] :
( ( ( ( ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) ) )
= ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[295]) ).
thf(298,plain,
! [SV68: b > a,SV67: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
| ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) ) )
| ~ ( ~ ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
| ( SV67
!= ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[297]) ).
thf(300,plain,
! [SV68: b > a,SV67: b] :
( ( ( ~ ( ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
| ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(302,plain,
! [SV68: b > a,SV67: b] :
( ( ( ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
| ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(304,plain,
! [SV68: b > a,SV67: b] :
( ( ( ~ ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) ) )
= $true )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(306,plain,
! [SV68: b > a,SV67: b] :
( ( ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) ) )
= $false )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(308,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
!= ( sK13_SV69 @ SV67 @ SV68 ) )
= $false )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(309,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) )
= $false )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(311,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(312,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( sK1_SY2 @ SV68 )
= ( SV68 @ ( sK13_SV69 @ SV67 @ SV68 ) ) )
= $true )
| ( ( SV67
= ( sK13_SV69 @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(317,plain,
! [SV67: b,SV68: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) ) ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extuni,[status(esa)],[296]) ).
thf(318,plain,
! [SV67: b,SV68: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) ) ) )
= $false )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $false ) ),
inference(extuni,[status(esa)],[296]) ).
thf(319,plain,
! [SV68: b > a,SV67: b] :
( ( ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(320,plain,
! [SV68: b > a,SV67: b] :
( ( ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
| ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(321,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
= $true )
| ( ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(322,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
!= ( sK14_E @ SV67 @ SV68 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(323,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(324,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
= ( sK14_E @ SV67 @ SV68 ) )
= $false )
| ( ( ( sK1_SY2 @ SV68 )
!= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(325,plain,
! [SV68: b > a,SV67: b] :
( ( ( x
= ( sK14_E @ SV67 @ SV68 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(326,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( sK1_SY2 @ SV68 )
= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(327,plain,
! [SV67: b,SV68: b > a] :
( ( ( ( sK1_SY2 @ SV68 )
= ( SV68 @ ( sK14_E @ SV67 @ SV68 ) ) )
= $false )
| ( ( x
= ( sK14_E @ SV67 @ SV68 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV68 ) )
= $true )
| ( ( SV67
= ( sK14_E @ SV67 @ SV68 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(328,plain,
! [SV70: b,SV71: b > a] :
( ( ( ( ^ [SX0: b] :
~ ( ( x != SX0 )
| ( ( sK1_SY2 @ SV71 )
!= ( SV71 @ SX0 ) ) ) )
= ( ^ [SX0: b] : ( SV70 = SX0 ) ) )
= $false )
| ( ( y
= ( SV71 @ ( sK2_Xx_6 @ SV71 ) ) )
= $false ) ),
inference(rename,[status(thm)],[34]) ).
thf(331,plain,
! [SV70: b,SV71: b > a,SV11: b > a] :
( ( ( ( y
= ( SV71 @ ( sK2_Xx_6 @ SV71 ) ) )
= ( y
= ( sK1_SY2 @ SV11 ) ) )
= $false )
| ( ( ( ^ [SX0: b] :
~ ( ( x != SX0 )
| ( ( sK1_SY2 @ SV71 )
!= ( SV71 @ SX0 ) ) ) )
= ( ^ [SX0: b] : ( SV70 = SX0 ) ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false ) ),
inference(res,[status(thm)],[328,274]) ).
thf(335,plain,
! [SV70: b,SV71: b > a,SV10: b > a] :
( ( ( ( y
= ( SV71 @ ( sK2_Xx_6 @ SV71 ) ) )
= ( y
= ( sK1_SY2 @ SV10 ) ) )
= $false )
| ( ( ( ^ [SX0: b] :
~ ( ( x != SX0 )
| ( ( sK1_SY2 @ SV71 )
!= ( SV71 @ SX0 ) ) ) )
= ( ^ [SX0: b] : ( SV70 = SX0 ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true ) ),
inference(res,[status(thm)],[328,272]) ).
thf(360,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV71,$thf( ^ [SX0: b] : y ))]]) ).
thf(361,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) ) )
= $false )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV71,$thf( ^ [SX0: b] : y ))]]) ).
thf(362,plain,
! [SV70: b,SV77: b > b > a] :
( ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extuni,[status(esa)],[335:[bind(SV10,$thf( SV77 @ ( sK2_Xx_6 @ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) )),bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ))]]) ).
thf(363,plain,
! [SV70: b,SV77: b > b > a] :
( ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV10,$thf( SV77 @ ( sK2_Xx_6 @ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) )),bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ))]]) ).
thf(364,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ))]]) ).
thf(365,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( ~ ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ))]]) ).
thf(366,plain,
! [SV70: b,SV11: b > a] :
( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) ) )
= $true )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[331:[bind(SV71,$thf( ^ [SX0: b] : y ))]]) ).
thf(367,plain,
! [SV70: b,SV11: b > a] :
( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[331:[bind(SV71,$thf( ^ [SX0: b] : y ))]]) ).
thf(368,plain,
! [SV70: b,SV82: b > b > a] :
( ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extuni,[status(esa)],[331:[bind(SV11,$thf( SV82 @ ( sK2_Xx_6 @ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) )),bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ))]]) ).
thf(369,plain,
! [SV70: b,SV82: b > b > a] :
( ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $false ) ),
inference(extuni,[status(esa)],[331:[bind(SV11,$thf( SV82 @ ( sK2_Xx_6 @ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) )),bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ))]]) ).
thf(370,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[331:[bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ))]]) ).
thf(371,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( ~ ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[331:[bind(SV71,$thf( ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ))]]) ).
thf(372,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(373,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(374,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(375,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(376,plain,
! [SV70: b,SV10: b > a] :
( ( ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(377,plain,
! [SV70: b,SV10: b > a] :
( ( ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(378,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(379,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(380,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) ) )
= $true )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(381,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) ) )
= $false )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(382,plain,
! [SV70: b,SV11: b > a] :
( ( ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(383,plain,
! [SV70: b,SV11: b > a] :
( ( ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
| ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(384,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(385,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
!= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(386,plain,
! [SV70: b,SV10: b > a,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(387,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(388,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( x
!= ( sK21_E @ SV70 @ SV77 ) )
= $false )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(389,plain,
! [SV70: b,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) )
= $false )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(390,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(391,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
!= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(392,plain,
! [SV70: b,SV10: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(393,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(394,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( x
!= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(395,plain,
! [SV70: b,SV11: b > a,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(396,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(397,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( x
!= ( sK24_E @ SV70 @ SV82 ) )
= $false )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(398,plain,
! [SV70: b,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) )
= $false )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(399,plain,
! [SV70: b,SV11: b > a] :
( ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(400,plain,
! [SV70: b,SV11: b > a] :
( ( ( x
!= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(401,plain,
! [SV70: b,SV11: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(402,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(403,plain,
! [SV77: b > b > a,SV70: b,SV10: b > a] :
( ( ( x
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(404,plain,
! [SV70: b,SV10: b > a,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(405,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( x
= ( sK21_E @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(406,plain,
! [SV77: b > b > a,SV70: b] :
( ( ( x
= ( sK21_E @ SV70 @ SV77 ) )
= $true )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(407,plain,
! [SV70: b,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) )
= $true )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(408,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(409,plain,
! [SV70: b,SV10: b > a] :
( ( ( x
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(410,plain,
! [SV70: b,SV10: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
= y )
= $true )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(411,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( x
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(412,plain,
! [SV82: b > b > a,SV70: b,SV11: b > a] :
( ( ( x
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(413,plain,
! [SV70: b,SV11: b > a,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $true )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(414,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( x
= ( sK24_E @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
!= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(415,plain,
! [SV82: b > b > a,SV70: b] :
( ( ( x
= ( sK24_E @ SV70 @ SV82 ) )
= $true )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(416,plain,
! [SV70: b,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) )
= $true )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(417,plain,
! [SV70: b,SV11: b > a] :
( ( ( x
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
!= y )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(418,plain,
! [SV70: b,SV11: b > a] :
( ( ( x
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(419,plain,
! [SV70: b,SV11: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
= y )
= $true )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $true )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(420,plain,
! [SV70: b,SV10: b > a,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV77 @ ( sK22_E @ SV10 @ SV70 @ SV77 ) ) ) )
= $false )
| ( ( x
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK22_E @ SV10 @ SV70 @ SV77 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(421,plain,
! [SV70: b,SV77: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV77 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV77 @ ( sK21_E @ SV70 @ SV77 ) ) ) )
= $false )
| ( ( x
= ( sK21_E @ SV70 @ SV77 ) )
= $false )
| ( ( x
= ( sK2_Xx_6
@ ( SV77
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV77 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV70
= ( sK21_E @ SV70 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(422,plain,
! [SV70: b,SV10: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
= y )
= $false )
| ( ( x
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( x
= ( sK2_Xx_6 @ SV10 ) )
= $true )
| ( ( SV70
= ( sK20_E @ SV10 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(423,plain,
! [SV70: b,SV11: b > a,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV82 @ ( sK25_E @ SV11 @ SV70 @ SV82 ) ) ) )
= $false )
| ( ( x
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK25_E @ SV11 @ SV70 @ SV82 ) )
= $false )
| ( ( ( sK1_SY2
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) )
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(424,plain,
! [SV70: b,SV82: b > b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : ( sK1_SY2 @ ( SV82 @ SX1 ) ) )
= ( sK1_SY2 @ ( SV82 @ ( sK24_E @ SV70 @ SV82 ) ) ) )
= $false )
| ( ( x
= ( sK24_E @ SV70 @ SV82 ) )
= $false )
| ( ( y
= ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) )
@ ( sK2_Xx_6
@ ( SV82
@ ( sK2_Xx_6
@ ^ [SX0: b] : ( sK1_SY2 @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV70
= ( sK24_E @ SV70 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(425,plain,
! [SV70: b,SV11: b > a] :
( ( ( ( sK1_SY2
@ ^ [SX1: b] : y )
= y )
= $false )
| ( ( x
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( SV11 @ ( sK2_Xx_6 @ SV11 ) ) )
= $false )
| ( ( SV70
= ( sK23_E @ SV11 @ SV70 ) )
= $false )
| ( ( y
= ( sK1_SY2 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(426,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,425,424,423,422,421,420,419,418,416,415,413,412,410,409,407,406,404,403,328,327,326,325,312,311,288,287,286,285,284,283,281,280,279,274,272,271,270,269,268,73,71,67,66,60,59,41]) ).
thf(427,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV385^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.19 % Computer : n003.cluster.edu
% 0.14/0.19 % Model : x86_64 x86_64
% 0.14/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.19 % Memory : 8046.5625MB
% 0.14/0.19 % OS : Linux 6.8.0-71-generic
% 0.14/0.19 % CPULimit : 300
% 0.14/0.19 % WCLimit : 300
% 0.14/0.19 % DateTime : Tue Oct 6 15:48:09 UTC 2026
% 0.14/0.20 % CPUTime :
% 0.14/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.39/0.67
% 2.39/0.67 No.of.Axioms: 0
% 2.39/0.67
% 2.39/0.67 Length.of.Defs: 0
% 2.39/0.67
% 2.39/0.67 Contains.Choice.Funs: false
% 2.39/0.67 ........
% 2.39/0.67
% 2.39/0.67 ********************************
% 2.39/0.67 * All subproblems solved! *
% 2.39/0.67 ********************************
% 2.39/0.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:426,loop_count:5,foatp_calls:3,translation:fof_full)
% 2.39/0.67
% 2.39/0.67 %**** Beginning of derivation protocol ****
% 2.39/0.67 % SZS output start CNFRefutation
% See solution above
% 2.39/0.67
% 2.39/0.67 %**** End of derivation protocol ****
% 2.39/0.67 %**** no. of clauses in derivation: 197 ****
% 2.39/0.67 %**** clause counter: 426 ****
% 2.39/0.67
% 2.39/0.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:426,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------