TSTP Solution File: SEV124^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV124^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:12 EDT 2022
% Result : Theorem 0.66s 0.83s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 15
% Syntax : Number of formulae : 126 ( 32 unt; 14 typ; 0 def)
% Number of atoms : 1190 ( 439 equ; 0 cnn)
% Maximal formula atoms : 7 ( 10 avg)
% Number of connectives : 3406 ( 496 ~; 505 |; 62 &;2280 @)
% ( 0 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 646 ( 646 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 4 con; 0-6 aty)
% Number of variables : 681 ( 63 ^ 592 !; 26 ?; 681 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SV7,type,
sK10_SV7: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK11_SY129,type,
sK11_SY129: ( a > a > $o ) > a > a > ( a > a > $o ) > a > a > $o ).
thf(tp_sK12_SY132,type,
sK12_SY132: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK13_SY136,type,
sK13_SY136: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK1_PROP,type,
sK1_PROP: ( a > a > $o ) > $o ).
thf(tp_sK2_SY18,type,
sK2_SY18: ( a > a > $o ) > $o ).
thf(tp_sK3_SY35,type,
sK3_SY35: a ).
thf(tp_sK4_SY51,type,
sK4_SY51: a ).
thf(tp_sK5_SY70,type,
sK5_SY70: a > a > $o ).
thf(tp_sK6_SY38,type,
sK6_SY38: ( a > a > $o ) > a ).
thf(tp_sK7_SY89,type,
sK7_SY89: ( a > a > $o ) > a ).
thf(tp_sK8_SY91,type,
sK8_SY91: ( a > a > $o ) > a > a > $o ).
thf(tp_sK9_SV6,type,
sK9_SV6: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(1,conjecture,
! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp0: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp0 @ Xx2 @ Xy2 ) )
& ( PROP @ Xp0 ) )
=> ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM254_A_pme) ).
thf(2,negated_conjecture,
( ( ! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp0: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp0 @ Xx2 @ Xy2 ) )
& ( PROP @ Xp0 ) )
=> ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp0: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp0 @ Xx2 @ Xy2 ) )
& ( PROP @ Xp0 ) )
=> ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY18: ( a > a > $o ) > $o,SY19: a,SY20: a] :
( ! [SY21: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( SY18 @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( SY21 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY21 ) )
=> ( SY21 @ SY19 @ SY20 ) )
=> ! [SY25: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ? [SY28: a > a > $o] :
( ? [SY29: a > a > $o] :
( ( SY18 @ SY29 )
& ( SY28
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY29 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY28 @ SY26 @ SY27 ) )
=> ( SY25 @ SY26 @ SY27 ) )
& ( sK1_PROP @ SY25 ) )
=> ( SY25 @ SY19 @ SY20 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY35: a,SY36: a] :
( ! [SY37: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ? [SY40: a > a > $o] :
( ( sK2_SY18 @ SY40 )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY37 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY37 ) )
=> ( SY37 @ SY35 @ SY36 ) )
=> ! [SY41: a > a > $o] :
( ( ! [SY42: a,SY43: a] :
( ? [SY44: a > a > $o] :
( ? [SY45: a > a > $o] :
( ( sK2_SY18 @ SY45 )
& ( SY44
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY44 @ SY42 @ SY43 ) )
=> ( SY41 @ SY42 @ SY43 ) )
& ( sK1_PROP @ SY41 ) )
=> ( SY41 @ SY35 @ SY36 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY51: a] :
( ! [SY52: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ? [SY40: a > a > $o] :
( ( sK2_SY18 @ SY40 )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY52 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY52 ) )
=> ( SY52 @ sK3_SY35 @ SY51 ) )
=> ! [SY56: a > a > $o] :
( ( ! [SY42: a,SY43: a] :
( ? [SY44: a > a > $o] :
( ? [SY45: a > a > $o] :
( ( sK2_SY18 @ SY45 )
& ( SY44
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY44 @ SY42 @ SY43 ) )
=> ( SY56 @ SY42 @ SY43 ) )
& ( sK1_PROP @ SY56 ) )
=> ( SY56 @ sK3_SY35 @ SY51 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY66: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ? [SY40: a > a > $o] :
( ( sK2_SY18 @ SY40 )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY66 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY66 ) )
=> ( SY66 @ sK3_SY35 @ sK4_SY51 ) )
=> ! [SY70: a > a > $o] :
( ( ! [SY42: a,SY43: a] :
( ? [SY44: a > a > $o] :
( ? [SY45: a > a > $o] :
( ( sK2_SY18 @ SY45 )
& ( SY44
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY44 @ SY42 @ SY43 ) )
=> ( SY70 @ SY42 @ SY43 ) )
& ( sK1_PROP @ SY70 ) )
=> ( SY70 @ sK3_SY35 @ sK4_SY51 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY66: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ? [SY40: a > a > $o] :
( ( sK2_SY18 @ SY40 )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY66 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY66 ) )
=> ( SY66 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY70: a > a > $o] :
( ( ! [SY42: a,SY43: a] :
( ? [SY44: a > a > $o] :
( ? [SY45: a > a > $o] :
( ( sK2_SY18 @ SY45 )
& ( SY44
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY44 @ SY42 @ SY43 ) )
=> ( SY70 @ SY42 @ SY43 ) )
& ( sK1_PROP @ SY70 ) )
=> ( SY70 @ sK3_SY35 @ sK4_SY51 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SY70: a > a > $o] :
( ( ! [SY42: a,SY43: a] :
( ? [SY44: a > a > $o] :
( ? [SY45: a > a > $o] :
( ( sK2_SY18 @ SY45 )
& ( SY44
= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) ) )
& ( SY44 @ SY42 @ SY43 ) )
=> ( SY70 @ SY42 @ SY43 ) )
& ( sK1_PROP @ SY70 ) )
=> ( SY70 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY80: a,SY81: a] :
( ! [SY44: a > a > $o] :
( ! [SY45: a > a > $o] :
( ( SY44
!= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) )
| ~ ( sK2_SY18 @ SY45 ) )
| ~ ( SY44 @ SY80 @ SY81 ) )
| ( sK5_SY70 @ SY80 @ SY81 ) )
& ( sK1_PROP @ sK5_SY70 )
& ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY66: a > a > $o] :
( ( ( sK8_SY91 @ SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY89 @ SY66 ) )
& ( sK2_SY18 @ ( sK8_SY91 @ SY66 ) )
& ~ ( SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY89 @ SY66 ) ) )
| ~ ( sK1_PROP @ SY66 )
| ( SY66 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(13,plain,
( ( ! [SY66: a > a > $o] :
( ( ( sK8_SY91 @ SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY89 @ SY66 ) )
& ( sK2_SY18 @ ( sK8_SY91 @ SY66 ) )
& ~ ( SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY89 @ SY66 ) ) )
| ~ ( sK1_PROP @ SY66 )
| ( SY66 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY80: a,SY81: a] :
( ! [SY44: a > a > $o] :
( ! [SY45: a > a > $o] :
( ( SY44
!= ( ^ [SY30: a,SY31: a] :
! [SY32: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY45 @ Xx2 @ Xy2 )
=> ( SY32 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY32 ) )
=> ( SY32 @ SY30 @ SY31 ) ) ) )
| ~ ( sK2_SY18 @ SY45 ) )
| ~ ( SY44 @ SY80 @ SY81 ) )
| ( sK5_SY70 @ SY80 @ SY81 ) )
& ( sK1_PROP @ sK5_SY70 )
& ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY70 ) )
| ~ ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ~ ( ~ ( sK8_SY91 @ SX0 @ ( sK6_SY38 @ SX0 ) @ ( sK7_SY89 @ SX0 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY38 @ SX0 ) @ ( sK7_SY89 @ SX0 ) ) )
| ~ ( sK1_PROP @ SX0 )
| ( SX0 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY70 ) )
| ~ ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
| ~ ( sK1_PROP @ SV1 )
| ( SV1 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY70 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
| ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY70 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY70 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( sK5_SY70 @ sK3_SY35 @ sK4_SY51 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( sK1_PROP @ sK5_SY70 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SX2
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK5_SY70 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( sK1_PROP @ sK5_SY70 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: a] :
( ( ! [SY92: a] :
( ! [SY93: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY93
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SY93 @ SV2 @ SY92 ) )
| ( sK5_SY70 @ SV2 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
| ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV3: a,SV2: a] :
( ( ! [SY100: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY100
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SY100 @ SV2 @ SV3 ) )
| ( sK5_SY70 @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: a,SV2: a] :
( ( ( ! [SY100: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY100
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SX3 ) )
| ~ ( SY100 @ SV2 @ SV3 ) ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV1: a > a > $o] :
( ( ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( ! [SY107: a > a > $o] :
( ( SV4
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SY107 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SY107 ) )
| ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY89 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK2_SY18 @ ( sK8_SY91 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( ! [SY107: a > a > $o] :
( ( SV4
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SY107 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ( sK1_PROP @ SX6 ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK2_SY18 @ SY107 ) ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV3: a,SV2: a,SV5: a > a > $o,SV4: a > a > $o] :
( ( ( ( SV4
!= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) )
| ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV3: a,SV2: a,SV5: a > a > $o,SV4: a > a > $o] :
( ( ( ( SV4
!= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV3: a,SV2: a,SV5: a > a > $o,SV4: a > a > $o] :
( ( ( SV4
= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV3: a,SV2: a,SV5: a > a > $o,SV4: a > a > $o] :
( ( ( ! [SV6: a] :
( ( SV4 @ SV6 )
= ( ^ [SY118: a] :
! [SY119: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY119 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY119 ) )
| ( SY119 @ SV6 @ SY118 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[52]) ).
thf(54,plain,
! [SV3: a,SV2: a,SV5: a > a > $o,SV4: a > a > $o] :
( ( ( SV4
= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[52]) ).
thf(55,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) )
= ( ^ [SY122: a] :
! [SY123: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY123 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY123 ) )
| ( SY123 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SY122 ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(56,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4
= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(57,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ! [SV7: a] :
( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SV7 )
= ( ! [SY126: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY126 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY126 ) )
| ( SY126 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(58,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) )
= ( ^ [SY122: a] :
! [SY123: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY123 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY123 ) )
| ( SY123 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SY122 ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( SV4
= ( ^ [SY113: a,SY114: a] :
! [SY115: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY115 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY115 ) )
| ( SY115 @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(61,plain,
! [SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) )
= ( ^ [SY122: a] :
! [SY123: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY123 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY123 ) )
| ( SY123 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SY122 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ~ ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
| ~ ( ~ ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ~ ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(63,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) )
= ( ^ [SY122: a] :
! [SY123: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY123 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY123 ) )
| ( SY123 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ SY122 ) ) ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ~ ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ~ ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(67,plain,
! [SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(69,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ~ ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
| ~ ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( ~ ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) )
= $true )
| ( ( ~ ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) )
| ~ ( sK1_PROP @ SV8 ) )
| ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV5: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o] :
( ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) )
| ~ ( sK1_PROP @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV5: a > a > $o] :
( ( ( ! [SY129: a > a > $o] :
( ~ ~ ( ~ ! [SY116: a,SY117: a] :
( ~ ( SV5 @ SY116 @ SY117 )
| ( SY129 @ SY116 @ SY117 ) )
| ~ ( sK1_PROP @ SY129 ) )
| ( SY129 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ( ~ ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) )
| ~ ( sK1_PROP @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) )
| ~ ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) ) )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(79,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) )
| ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(80,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) )
| ~ ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ( ~ ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) )
| ~ ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) ) ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(84,plain,
! [SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(85,plain,
! [SV4: a > a > $o,SV2: a,SV3: a,SV8: a > a > $o,SV5: a > a > $o] :
( ( ( ! [SY132: a,SY133: a] :
( ~ ( SV5 @ SY132 @ SY133 )
| ( SV8 @ SY132 @ SY133 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) )
| ~ ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(87,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ! [SY136: a] :
( ~ ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ SY136 )
| ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ SY136 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(89,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(90,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( ~ ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) ) )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(91,plain,
! [SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
| ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(92,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ! [SY134: a,SY135: a] :
( ~ ( SV5 @ SY134 @ SY135 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SY134 @ SY135 ) ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(93,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(94,plain,
! [SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( ~ ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(95,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV8: a > a > $o] :
( ( ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(96,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV9: a,SV5: a > a > $o] :
( ( ( ! [SY137: a] :
( ~ ( SV5 @ SV9 @ SY137 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SY137 ) ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_PROP @ SV8 )
= $false )
| ( ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $false )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(100,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV10: a,SV9: a,SV5: a > a > $o] :
( ( ( ~ ( SV5 @ SV9 @ SV10 )
| ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SV10 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( sK1_PROP @ ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV5: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_PROP @ SV8 )
= $false )
| ( ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV8: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $false )
| ( ( sK1_PROP @ SV8 )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV10: a,SV9: a,SV5: a > a > $o] :
( ( ( ~ ( SV5 @ SV9 @ SV10 ) )
= $true )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SV10 )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV8: a > a > $o,SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( sK1_PROP @ SV8 )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV5: a > a > $o,SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( sK1_PROP @ SV8 )
= $false )
| ( ( SV8 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $false )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV3: a,SV2: a,SV4: a > a > $o,SV10: a,SV9: a,SV5: a > a > $o] :
( ( ( SV5 @ SV9 @ SV10 )
= $false )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SV10 )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY18 @ SV5 ) )
= $true )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV5: a > a > $o,SV8: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( sK1_PROP @ SV8 )
= $false )
| ( ( SV5 @ ( sK12_SY132 @ SV4 @ SV2 @ SV3 @ SV8 @ SV5 ) @ ( sK13_SY136 @ SV8 @ SV3 @ SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( SV8 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $true )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV10: a,SV9: a,SV2: a,SV3: a,SV4: a > a > $o,SV5: a > a > $o] :
( ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SV10 )
= $true )
| ( ( SV5 @ SV9 @ SV10 )
= $false )
| ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(110,plain,
! [SV10: a,SV9: a,SV5: a > a > $o,SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( SV5 @ SV9 @ SV10 )
= $false )
| ( ( sK11_SY129 @ SV4 @ SV2 @ SV3 @ SV5 @ SV9 @ SV10 )
= $true )
| ( ( SV4 @ ( sK9_SV6 @ SV3 @ SV2 @ SV5 @ SV4 ) @ ( sK10_SV7 @ SV5 @ SV2 @ SV3 @ SV4 ) )
= $false )
| ( ( sK2_SY18 @ SV5 )
= $false )
| ( ( sK5_SY70 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(111,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,110,108,106,101,87,70,64,59,48,47,42,33]) ).
thf(112,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV124^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 17:12:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 0
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.66/0.83
% 0.66/0.83 ********************************
% 0.66/0.83 * All subproblems solved! *
% 0.66/0.83 ********************************
% 0.66/0.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:111,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.66/0.84
% 0.66/0.84 %**** Beginning of derivation protocol ****
% 0.66/0.84 % SZS output start CNFRefutation
% See solution above
% 0.66/0.84
% 0.66/0.84 %**** End of derivation protocol ****
% 0.66/0.84 %**** no. of clauses in derivation: 112 ****
% 0.66/0.84 %**** clause counter: 111 ****
% 0.66/0.84
% 0.66/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:111,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------