%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV259^5 : 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 10:49:50 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 1
% Syntax : Number of formulae : 195 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 1692 ( 634 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 2763 ( 651 ~; 549 |; 55 &;1455 @)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 516 ( 516 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 554 ( 84 ^; 463 !; 7 ?; 554 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_SV14,type,
sK10_SV14: ( ( b > $o ) > $o ) > ( b > $o ) > b ).
thf(tp_sK11_SV15,type,
sK11_SV15: ( b > $o ) > b ).
thf(tp_sK12_SY66,type,
sK12_SY66: ( b > $o ) > ( ( b > $o ) > $o ) > b > $o ).
thf(tp_sK13_SY68,type,
sK13_SY68: ( b > $o ) > ( ( b > $o ) > $o ) > b > $o ).
thf(tp_sK1_S,type,
sK1_S: ( b > $o ) > $o ).
thf(tp_sK2_SY33,type,
sK2_SY33: b > $o ).
thf(tp_sK3_SY39,type,
sK3_SY39: b ).
thf(tp_sK4_SY44,type,
sK4_SY44: b > $o ).
thf(tp_sK5_SY26,type,
sK5_SY26: ( b > $o ) > ( ( b > $o ) > $o ) > b > $o ).
thf(tp_sK6_SV8,type,
sK6_SV8: ( b > $o ) > b ).
thf(tp_sK7_SV9,type,
sK7_SV9: ( b > $o ) > b ).
thf(tp_sK8_SV10,type,
sK8_SV10: ( ( b > $o ) > $o ) > ( b > $o ) > b ).
thf(tp_sK9_SV13,type,
sK9_SV13: ( b > $o ) > ( b > $o ) > ( b > $o ) > b ).
thf(1,conjecture,
! [S: ( b > $o ) > $o] :
( ( ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $false ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : ~ $false ) )
=> ( S @ R ) )
& ! [K: ( b > $o ) > $o,R: b > $o] :
( ( ! [Xx: b > $o] :
( ( K @ Xx )
=> ( S @ Xx ) )
& ( R
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) ) )
=> ( S @ R ) )
& ! [Y: b > $o,Z: b > $o,S0: b > $o] :
( ( ( S @ Y )
& ( S @ Z )
& ( S0
= ( ^ [Xx: b] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( S @ S0 ) ) )
=> ! [W: b > $o,Xx: b] :
( ( W @ Xx )
=> ! [S0: b > $o] :
( ( ! [Xx0: b] :
( ( W @ Xx0 )
=> ( S0 @ Xx0 ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx0: b] :
~ ( S0 @ Xx0 ) ) )
=> ( S @ R ) ) )
=> ( S0 @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCLOSURE_THM0_pme) ).
thf(2,negated_conjecture,
( ( ! [S: ( b > $o ) > $o] :
( ( ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $false ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : ~ $false ) )
=> ( S @ R ) )
& ! [K: ( b > $o ) > $o,R: b > $o] :
( ( ! [Xx: b > $o] :
( ( K @ Xx )
=> ( S @ Xx ) )
& ( R
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) ) )
=> ( S @ R ) )
& ! [Y: b > $o,Z: b > $o,S0: b > $o] :
( ( ( S @ Y )
& ( S @ Z )
& ( S0
= ( ^ [Xx: b] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( S @ S0 ) ) )
=> ! [W: b > $o,Xx: b] :
( ( W @ Xx )
=> ! [S0: b > $o] :
( ( ! [Xx0: b] :
( ( W @ Xx0 )
=> ( S0 @ Xx0 ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx0: b] :
~ ( S0 @ Xx0 ) ) )
=> ( S @ R ) ) )
=> ( S0 @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [S: ( b > $o ) > $o] :
( ( ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $false ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : ~ $false ) )
=> ( S @ R ) )
& ! [K: ( b > $o ) > $o,R: b > $o] :
( ( ! [Xx: b > $o] :
( ( K @ Xx )
=> ( S @ Xx ) )
& ( R
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) ) )
=> ( S @ R ) )
& ! [Y: b > $o,Z: b > $o,S0: b > $o] :
( ( ( S @ Y )
& ( S @ Z )
& ( S0
= ( ^ [Xx: b] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) ) )
=> ( S @ S0 ) ) )
=> ! [W: b > $o,Xx: b] :
( ( W @ Xx )
=> ! [S0: b > $o] :
( ( ! [Xx0: b] :
( ( W @ Xx0 )
=> ( S0 @ Xx0 ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx0: b] :
~ ( S0 @ Xx0 ) ) )
=> ( S @ R ) ) )
=> ( S0 @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ! [SY20: b > $o] :
( ( SY20
= ( ^ [Xx: b] : $false ) )
=> ( sK1_S @ SY20 ) )
& ! [SY22: b > $o] :
( ( SY22
= ( ^ [Xx: b] : ~ $false ) )
=> ( sK1_S @ SY22 ) )
& ! [SY24: ( b > $o ) > $o,SY25: b > $o] :
( ( ! [SY26: b > $o] :
( ( SY24 @ SY26 )
=> ( sK1_S @ SY26 ) )
& ( SY25
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( SY24 @ S0 )
& ( S0 @ Xx ) ) ) ) )
=> ( sK1_S @ SY25 ) )
& ! [SY29: b > $o,SY30: b > $o,SY31: b > $o] :
( ( ( sK1_S @ SY29 )
& ( sK1_S @ SY30 )
& ( SY31
= ( ^ [Xx: b] :
( ( SY29 @ Xx )
& ( SY30 @ Xx ) ) ) ) )
=> ( sK1_S @ SY31 ) ) )
=> ! [SY33: b > $o,SY34: b] :
( ( SY33 @ SY34 )
=> ! [SY35: b > $o] :
( ( ! [Xx0: b] :
( ( SY33 @ Xx0 )
=> ( SY35 @ Xx0 ) )
& ! [SY37: b > $o] :
( ( SY37
= ( ^ [Xx0: b] :
~ ( SY35 @ Xx0 ) ) )
=> ( sK1_S @ SY37 ) ) )
=> ( SY35 @ SY34 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY20: b > $o] :
( ( SY20
= ( ^ [Xx: b] : $false ) )
=> ( sK1_S @ SY20 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY22: b > $o] :
( ( SY22
= ( ^ [Xx: b] : ~ $false ) )
=> ( sK1_S @ SY22 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY24: ( b > $o ) > $o,SY25: b > $o] :
( ( ! [SY26: b > $o] :
( ( SY24 @ SY26 )
=> ( sK1_S @ SY26 ) )
& ( SY25
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( SY24 @ S0 )
& ( S0 @ Xx ) ) ) ) )
=> ( sK1_S @ SY25 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ! [SY29: b > $o,SY30: b > $o,SY31: b > $o] :
( ( ( sK1_S @ SY29 )
& ( sK1_S @ SY30 )
& ( SY31
= ( ^ [Xx: b] :
( ( SY29 @ Xx )
& ( SY30 @ Xx ) ) ) ) )
=> ( sK1_S @ SY31 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(9,plain,
( ( ! [SY33: b > $o,SY34: b] :
( ( SY33 @ SY34 )
=> ! [SY35: b > $o] :
( ( ! [Xx0: b] :
( ( SY33 @ Xx0 )
=> ( SY35 @ Xx0 ) )
& ! [SY37: b > $o] :
( ( SY37
= ( ^ [Xx0: b] :
~ ( SY35 @ Xx0 ) ) )
=> ( sK1_S @ SY37 ) ) )
=> ( SY35 @ SY34 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(10,plain,
( ( ~ ! [SY33: b > $o,SY34: b] :
( ( SY33 @ SY34 )
=> ! [SY35: b > $o] :
( ( ! [Xx0: b] :
( ( SY33 @ Xx0 )
=> ( SY35 @ Xx0 ) )
& ! [SY37: b > $o] :
( ( SY37
= ( ^ [Xx0: b] :
~ ( SY35 @ Xx0 ) ) )
=> ( sK1_S @ SY37 ) ) )
=> ( SY35 @ SY34 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK2_SY33 @ sK3_SY39 )
& ! [SY48: b] :
( ~ ( sK2_SY33 @ SY48 )
| ( sK4_SY44 @ SY48 ) )
& ! [SY49: b > $o] :
( ( SY49
!= ( ^ [SY50: b] :
~ ( sK4_SY44 @ SY50 ) ) )
| ( sK1_S @ SY49 ) )
& ~ ( sK4_SY44 @ sK3_SY39 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY20: b > $o] :
( ( SY20
!= ( ^ [Xx: b] : $false ) )
| ( sK1_S @ SY20 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(13,plain,
( ( ! [SY22: b > $o] :
( ( SY22
!= ( ^ [Xx: b] : ~ $false ) )
| ( sK1_S @ SY22 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(14,plain,
( ( ! [SY24: ( b > $o ) > $o,SY25: b > $o] :
( ( ( SY24 @ ( sK5_SY26 @ SY25 @ SY24 ) )
& ~ ( sK1_S @ ( sK5_SY26 @ SY25 @ SY24 ) ) )
| ( SY25
!= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( S0 @ Xx )
& ( SY24 @ S0 ) ) ) )
| ( sK1_S @ SY25 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [SY29: b > $o,SY30: b > $o,SY31: b > $o] :
( ~ ( sK1_S @ SY29 )
| ~ ( sK1_S @ SY30 )
| ( SY31
!= ( ^ [Xx: b] :
( ( SY29 @ Xx )
& ( SY30 @ Xx ) ) ) )
| ( sK1_S @ SY31 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(16,plain,
( ( ! [SY29: b > $o,SY30: b > $o,SY31: b > $o] :
( ~ ( sK1_S @ SY29 )
| ~ ( sK1_S @ SY30 )
| ( SY31
!= ( ^ [Xx: b] :
( ( SY29 @ Xx )
& ( SY30 @ Xx ) ) ) )
| ( sK1_S @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [SY24: ( b > $o ) > $o,SY25: b > $o] :
( ( ( SY24 @ ( sK5_SY26 @ SY25 @ SY24 ) )
& ~ ( sK1_S @ ( sK5_SY26 @ SY25 @ SY24 ) ) )
| ( SY25
!= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( S0 @ Xx )
& ( SY24 @ S0 ) ) ) )
| ( sK1_S @ SY25 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SY22: b > $o] :
( ( SY22
!= ( ^ [Xx: b] : ~ $false ) )
| ( sK1_S @ SY22 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SY20: b > $o] :
( ( SY20
!= ( ^ [Xx: b] : $false ) )
| ( sK1_S @ SY20 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ( sK2_SY33 @ sK3_SY39 )
& ! [SY48: b] :
( ~ ( sK2_SY33 @ SY48 )
| ( sK4_SY44 @ SY48 ) )
& ! [SY49: b > $o] :
( ( SY49
!= ( ^ [SY50: b] :
~ ( sK4_SY44 @ SY50 ) ) )
| ( sK1_S @ SY49 ) )
& ~ ( sK4_SY44 @ sK3_SY39 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(21,plain,
( ( ~ ( ~ ( sK2_SY33 @ sK3_SY39 )
| ~ ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
| ~ ~ ( sK4_SY44 @ sK3_SY39 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [SX0: b > $o,SX1: b > $o,SX2: b > $o] :
( ~ ( sK1_S @ SX0 )
| ~ ( sK1_S @ SX1 )
| ( SX2
!= ( ^ [SX3: b] :
~ ( ~ ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) ) ) )
| ( sK1_S @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SX0: ( b > $o ) > $o,SX1: b > $o] :
( ~ ( ~ ( SX0 @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SX1 @ SX0 ) ) )
| ( SX1
!= ( ^ [SX2: b] :
~ ! [SX3: b > $o] :
~ ~ ( ~ ( SX3 @ SX2 )
| ~ ( SX0 @ SX3 ) ) ) )
| ( sK1_S @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(24,plain,
! [SV1: b > $o] :
( ( ( SV1
!= ( ^ [Xx: b] : ~ $false ) )
| ( sK1_S @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV2: b > $o] :
( ( ( SV2
!= ( ^ [Xx: b] : $false ) )
| ( sK1_S @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
( ( ~ ( sK2_SY33 @ sK3_SY39 )
| ~ ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
| ~ ~ ( sK4_SY44 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV3: b > $o] :
( ( ! [SY53: b > $o,SY54: b > $o] :
( ~ ( sK1_S @ SV3 )
| ~ ( sK1_S @ SY53 )
| ( SY54
!= ( ^ [SY55: b] :
~ ( ~ ( SV3 @ SY55 )
| ~ ( SY53 @ SY55 ) ) ) )
| ( sK1_S @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV4: ( b > $o ) > $o] :
( ( ! [SY56: b > $o] :
( ~ ( ~ ( SV4 @ ( sK5_SY26 @ SY56 @ SV4 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SY56 @ SV4 ) ) )
| ( SY56
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
| ( sK1_S @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV1: b > $o] :
( ( ( SV1
!= ( ^ [Xx: b] : ~ $false ) )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV2: b > $o] :
( ( ( SV2
!= ( ^ [Xx: b] : $false ) )
= $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ( sK2_SY33 @ sK3_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
| ~ ~ ( sK4_SY44 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(33,plain,
! [SV5: b > $o,SV3: b > $o] :
( ( ! [SY59: b > $o] :
( ~ ( sK1_S @ SV3 )
| ~ ( sK1_S @ SV5 )
| ( SY59
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
| ( sK1_S @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ~ ( ~ ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
| ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
| ( sK1_S @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV1: b > $o] :
( ( ( SV1
= ( ^ [Xx: b] : ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: b > $o] :
( ( ( SV2
= ( ^ [Xx: b] : $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( sK2_SY33 @ sK3_SY39 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
| ~ ~ ( sK4_SY44 @ sK3_SY39 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ~ ( sK1_S @ SV3 )
| ~ ( sK1_S @ SV5 )
| ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
| ( sK1_S @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
| ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV1: b > $o] :
( ( ( ! [SV8: b] :
( ( SV1 @ SV8 )
= ( ~ $false ) ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV1: b > $o] :
( ( ( SV1
= ( ^ [Xx: b] : ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(43,plain,
! [SV2: b > $o] :
( ( ( ! [SV9: b] :
( ( SV2 @ SV9 )
= $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[36]) ).
thf(44,plain,
! [SV2: b > $o] :
( ( ( SV2
= ( ^ [Xx: b] : $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
| ~ ~ ( sK4_SY44 @ sK3_SY39 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( sK1_S @ SV3 )
| ~ ( sK1_S @ SV5 )
| ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) ) )
= $true )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) ) )
= $true )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV1: b > $o] :
( ( ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= ( ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(49,plain,
! [SV2: b > $o] :
( ( ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
= $false )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(50,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
( ( ~ ~ ( sK4_SY44 @ sK3_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( sK1_S @ SV3 )
| ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $true )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
| ~ ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: b > $o] :
( ( ( ~ ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ $false )
| ~ ( ~ ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: b > $o] :
( ( ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= ( ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: b > $o] :
( ( ( ~ ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
| $false )
| ~ ( ~ ( SV2 @ ( sK7_SV9 @ SV2 ) )
| ~ $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: b > $o] :
( ( ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
= $false )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(58,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(59,plain,
( ( ~ ( sK4_SY44 @ sK3_SY39 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( sK1_S @ SV3 ) )
= $true )
| ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $true )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
! [SV1: b > $o] :
( ( ( ~ ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
! [SV1: b > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ ~ $false ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
! [SV2: b > $o] :
( ( ( ~ ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
| $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(66,plain,
! [SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK7_SV9 @ SV2 ) )
| ~ $false ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) )
| ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(68,plain,
( ( sK4_SY44 @ sK3_SY39 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(69,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( sK1_S @ SV3 )
= $false )
| ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $true )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(71,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) ) )
= $true )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV1: b > $o] :
( ( ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ $false )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV1: b > $o] :
( ( ( ~ ( SV1 @ ( sK6_SV8 @ SV1 ) )
| ~ ~ $false )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(74,plain,
! [SV2: b > $o] :
( ( ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
| $false )
= $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(75,plain,
! [SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK7_SV9 @ SV2 ) )
| ~ $false )
= $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(77,plain,
( ( ~ ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(78,plain,
! [SV7: b > $o,SV3: b > $o,SV5: b > $o] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( SV7
!= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $true )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6
= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( SV6
!= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV1: b > $o] :
( ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= $true )
| ( ( ~ $false ) = $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(82,plain,
! [SV1: b > $o] :
( ( ( ~ ( SV1 @ ( sK6_SV8 @ SV1 ) ) )
= $true )
| ( ( ~ ~ $false )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(83,plain,
! [SV2: b > $o] :
( ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
= $true )
| ( $false = $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK7_SV9 @ SV2 ) ) )
= $true )
| ( ( ~ $false ) = $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(85,plain,
( ( ! [SX0: b] :
( ~ ( sK2_SY33 @ SX0 )
| ( sK4_SY44 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(86,plain,
( ( ! [SX0: b > $o] :
( ( SX0
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV5: b > $o,SV3: b > $o,SV7: b > $o] :
( ( ( SV7
= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ! [SV10: b] :
( ( SV6 @ SV10 )
= ( ~ ! [SY64: b > $o] :
~ ~ ( ~ ( SY64 @ SV10 )
| ~ ( SV4 @ SY64 ) ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6
= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6
= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV1: b > $o] :
( ( $false = $false )
| ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV1: b > $o] :
( ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= $false )
| ( ( ~ ~ $false )
= $true )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV2: b > $o] :
( ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
= $false )
| ( ( ~ $false ) = $true )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV11: b] :
( ( ~ ( sK2_SY33 @ SV11 )
| ( sK4_SY44 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV12: b > $o] :
( ( ( SV12
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
| ( sK1_S @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV5: b > $o,SV3: b > $o,SV7: b > $o] :
( ( ( ! [SV13: b] :
( ( SV7 @ SV13 )
= ( ~ ( ~ ( SV3 @ SV13 )
| ~ ( SV5 @ SV13 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV5: b > $o,SV3: b > $o,SV7: b > $o] :
( ( ( SV7
= ( ^ [SY60: b] :
~ ( ~ ( SV3 @ SY60 )
| ~ ( SV5 @ SY60 ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[87]) ).
thf(98,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= ( ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(99,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ! [SV14: b] :
( ( SV6 @ SV14 )
= ( ~ ! [SY67: b > $o] :
~ ~ ( ~ ( SY67 @ SV14 )
| ~ ( SV4 @ SY67 ) ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6
= ( ^ [SY57: b] :
~ ! [SY58: b > $o] :
~ ~ ( ~ ( SY58 @ SY57 )
| ~ ( SV4 @ SY58 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(101,plain,
! [SV1: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV2: b > $o] :
( ( $false = $false )
| ( ( SV2 @ ( sK7_SV9 @ SV2 ) )
= $false )
| ( ( sK1_S @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV11: b] :
( ( ( ~ ( sK2_SY33 @ SV11 ) )
= $true )
| ( ( sK4_SY44 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV12: b > $o] :
( ( ( SV12
!= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= ( ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(106,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
| ~ ( ~ ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[98]) ).
thf(107,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= ( ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[98]) ).
thf(108,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= ( ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(109,plain,
! [SV1: b > $o] :
( ( $false = $true )
| ( ( SV1 @ ( sK6_SV8 @ SV1 ) )
= $false )
| ( ( sK1_S @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV11: b] :
( ( ( sK2_SY33 @ SV11 )
= $false )
| ( ( sK4_SY44 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV12: b > $o] :
( ( ( SV12
= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ~ ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
| ~ ( ~ ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(113,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= ( ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(114,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(115,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(116,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
| ~ ( ~ ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= ( ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV12: b > $o] :
( ( ( ! [SV15: b] :
( ( SV12 @ SV15 )
= ( ~ ( sK4_SY44 @ SV15 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(119,plain,
! [SV12: b > $o] :
( ( ( SV12
= ( ^ [SX1: b] :
~ ( sK4_SY44 @ SX1 ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(120,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ~ ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(121,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(122,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(124,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(125,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(126,plain,
! [SV12: b > $o] :
( ( ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= ( ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(127,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(128,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ~ ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(129,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(130,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) ) )
= $true )
| ( ( ~ ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(131,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(132,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(133,plain,
! [SV12: b > $o] :
( ( ( ~ ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
| ~ ( ~ ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[126]) ).
thf(134,plain,
! [SV12: b > $o] :
( ( ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= ( ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[126]) ).
thf(135,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( ~ ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( ~ ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) ) )
= $true )
| ( ( ~ ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV12: b > $o] :
( ( ( ~ ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV12: b > $o] :
( ( ( ~ ( ~ ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(143,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV3: b > $o,SV5: b > $o,SV7: b > $o] :
( ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( ~ ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ~ ( ~ ( sK12_SY66 @ SV6 @ SV4 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK12_SY66 @ SV6 @ SV4 ) ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(146,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( ~ ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV12: b > $o] :
( ( ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(150,plain,
! [SV12: b > $o] :
( ( ( ~ ( SV12 @ ( sK11_SV15 @ SV12 ) )
| ~ ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(151,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(152,plain,
! [SV7: b > $o,SV3: b > $o,SV5: b > $o] :
( ( ( ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(153,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) ) )
= $false )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ~ ( sK12_SY66 @ SV6 @ SV4 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK12_SY66 @ SV6 @ SV4 ) ) ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(155,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ! [SY66: b > $o] :
~ ~ ( ~ ( SY66 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY66 ) ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(156,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ~ ( ~ ( sK13_SY68 @ SV6 @ SV4 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK13_SY68 @ SV6 @ SV4 ) ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(157,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV12: b > $o] :
( ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= $true )
| ( ( ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV12: b > $o] :
( ( ( ~ ( SV12 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( ~ ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(161,plain,
! [SV7: b > $o,SV3: b > $o,SV5: b > $o] :
( ( ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(162,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
| ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $true )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(163,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( sK12_SY66 @ SV6 @ SV4 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK12_SY66 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(164,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV16: b > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV16 ) ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(165,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( ~ ( sK13_SY68 @ SV6 @ SV4 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK13_SY68 @ SV6 @ SV4 ) ) ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(166,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ! [SY68: b > $o] :
~ ~ ( ~ ( SY68 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SY68 ) ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(167,plain,
! [SV12: b > $o] :
( ( ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) )
= $false )
| ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(168,plain,
! [SV12: b > $o] :
( ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= $false )
| ( ( ~ ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $true )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(169,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( ~ ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $true )
| ( ( ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $true )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( sK12_SY66 @ SV6 @ SV4 @ ( sK8_SV10 @ SV4 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(171,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK12_SY66 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(172,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV16: b > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV16 ) ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( sK13_SY68 @ SV6 @ SV4 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ ( sK13_SY68 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(174,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV17: b > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV17 ) ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV12: b > $o] :
( ( ( ~ ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) ) )
= $false )
| ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV7: b > $o,SV5: b > $o,SV3: b > $o] :
( ( ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( ~ ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) ) )
= $true )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( sK12_SY66 @ SV6 @ SV4 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(178,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( SV4 @ ( sK12_SY66 @ SV6 @ SV4 ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $true )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(179,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV16: b > $o] :
( ( ( ~ ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV16 ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(180,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( ~ ( sK13_SY68 @ SV6 @ SV4 @ ( sK10_SV14 @ SV4 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(181,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK13_SY68 @ SV6 @ SV4 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(182,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV17: b > $o] :
( ( ( ~ ( ~ ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV17 ) ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV12: b > $o] :
( ( ( sK4_SY44 @ ( sK11_SV15 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK11_SV15 @ SV12 ) )
= $false )
| ( ( sK1_S @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(184,plain,
! [SV7: b > $o,SV3: b > $o,SV5: b > $o] :
( ( ( SV5 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( SV3 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK9_SV13 @ SV5 @ SV3 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV3 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV16: b > $o] :
( ( ( ~ ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) ) )
= $true )
| ( ( ~ ( SV4 @ SV16 ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(186,plain,
! [SV4: ( b > $o ) > $o,SV6: b > $o] :
( ( ( sK13_SY68 @ SV6 @ SV4 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(187,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o] :
( ( ( SV4 @ ( sK13_SY68 @ SV6 @ SV4 ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $true )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(188,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV17: b > $o] :
( ( ( ~ ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) )
| ~ ( SV4 @ SV17 ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(189,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV16: b > $o] :
( ( ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( ~ ( SV4 @ SV16 ) )
= $true )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(190,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV17: b > $o] :
( ( ( ~ ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) ) )
= $true )
| ( ( ~ ( SV4 @ SV17 ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV6: b > $o,SV16: b > $o,SV4: ( b > $o ) > $o] :
( ( ( SV4 @ SV16 )
= $false )
| ( ( SV16 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK8_SV10 @ SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
! [SV6: b > $o,SV4: ( b > $o ) > $o,SV17: b > $o] :
( ( ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( ~ ( SV4 @ SV17 ) )
= $true )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(193,plain,
! [SV6: b > $o,SV17: b > $o,SV4: ( b > $o ) > $o] :
( ( ( SV4 @ SV17 )
= $false )
| ( ( SV17 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK10_SV14 @ SV4 @ SV6 ) )
= $false )
| ( ( sK1_S @ ( sK5_SY26 @ SV6 @ SV4 ) )
= $false )
| ( ( sK1_S @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(194,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,193,191,187,186,184,183,178,177,167,161,160,134,119,117,113,110,109,107,102,100,97,91,89,83,68,57,55,44,42]) ).
thf(195,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV259^5 : 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
% 0.07/0.15 % Computer : n003.cluster.edu
% 0.07/0.15 % Model : x86_64 x86_64
% 0.07/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.15 % Memory : 8046.5625MB
% 0.07/0.15 % OS : Linux 6.8.0-71-generic
% 0.07/0.15 % CPULimit : 300
% 0.07/0.15 % WCLimit : 300
% 0.07/0.15 % DateTime : Tue Oct 6 15:45:39 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25
% 0.07/0.25 No.of.Axioms: 0
% 0.07/0.25
% 0.07/0.25 Length.of.Defs: 0
% 0.07/0.25
% 0.07/0.25 Contains.Choice.Funs: false
% 0.07/0.25 ....
% 0.07/0.25
% 0.07/0.25 ********************************
% 0.07/0.25 * All subproblems solved! *
% 0.07/0.25 ********************************
% 0.07/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:194,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.25
% 0.07/0.25 %**** Beginning of derivation protocol ****
% 0.07/0.25 % SZS output start CNFRefutation
% See solution above
% 0.07/0.25
% 0.07/0.25 %**** End of derivation protocol ****
% 0.07/0.25 %**** no. of clauses in derivation: 195 ****
% 0.07/0.25 %**** clause counter: 194 ****
% 0.07/0.25
% 0.07/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:194,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------