TSTP Solution File: SEV123^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV123^5 : 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 : n008.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 17:35:11 EDT 2022
% Result : Theorem 10.46s 10.64s
% Output : CNFRefutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 20
% Syntax : Number of formulae : 189 ( 32 unt; 19 typ; 0 def)
% Number of atoms : 2078 ( 698 equ; 0 cnn)
% Maximal formula atoms : 7 ( 12 avg)
% Number of connectives : 4485 ( 763 ~; 823 |; 62 &;2776 @)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 764 ( 764 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 4 con; 0-6 aty)
% Number of variables : 924 ( 54 ^ 845 !; 25 ?; 924 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY128,type,
sK10_SY128: a > a > ( a > a > $o ) > a > a > $o ).
thf(tp_sK11_SY133,type,
sK11_SY133: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK12_SY138,type,
sK12_SY138: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK13_SY135,type,
sK13_SY135: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK14_SY141,type,
sK14_SY141: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK15_SY139,type,
sK15_SY139: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK16_SY144,type,
sK16_SY144: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK17_SY142,type,
sK17_SY142: a > a > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK18_SY145,type,
sK18_SY145: ( a > a > $o ) > a > a > a > a > ( 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_SY76,type,
sK5_SY76: a > a > $o ).
thf(tp_sK6_SY38,type,
sK6_SY38: ( a > a > $o ) > a ).
thf(tp_sK7_SY83,type,
sK7_SY83: ( a > a > $o ) > a ).
thf(tp_sK8_SY91,type,
sK8_SY91: ( a > a > $o ) > a > a > $o ).
thf(tp_sK9_SY98,type,
sK9_SY98: ( a > a > $o ) > a > a > $o ).
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] :
( ? [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 ) )
=> ! [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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM254_B_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] :
( ? [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 ) )
=> ! [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 ) ) ) )
= $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] :
( ? [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 ) )
=> ! [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 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY18: ( a > a > $o ) > $o,SY19: a,SY20: a] :
( ! [SY21: a > a > $o] :
( ( ! [SY22: a,SY23: a] :
( ? [SY24: a > a > $o] :
( ? [SY25: a > a > $o] :
( ( SY18 @ SY25 )
& ( SY24
= ( ^ [SY26: a,SY27: a] :
! [SY28: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY25 @ Xx2 @ Xy2 )
=> ( SY28 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY28 ) )
=> ( SY28 @ SY26 @ SY27 ) ) ) ) )
& ( SY24 @ SY22 @ SY23 ) )
=> ( SY21 @ SY22 @ SY23 ) )
& ( sK1_PROP @ SY21 ) )
=> ( SY21 @ SY19 @ SY20 ) )
=> ! [SY31: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( SY18 @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( SY31 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY31 ) )
=> ( SY31 @ 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] :
( ? [SY41: a > a > $o] :
( ( sK2_SY18 @ SY41 )
& ( SY40
= ( ^ [SY26: a,SY27: a] :
! [SY28: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY41 @ Xx2 @ Xy2 )
=> ( SY28 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY28 ) )
=> ( SY28 @ SY26 @ SY27 ) ) ) ) )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY37 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY37 ) )
=> ( SY37 @ SY35 @ SY36 ) )
=> ! [SY47: a > a > $o] :
( ( ! [SY48: a,SY49: a] :
( ? [SY50: a > a > $o] :
( ( sK2_SY18 @ SY50 )
& ( SY50 @ SY48 @ SY49 ) )
=> ( SY47 @ SY48 @ SY49 ) )
& ( sK1_PROP @ SY47 ) )
=> ( SY47 @ 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] :
( ? [SY41: a > a > $o] :
( ( sK2_SY18 @ SY41 )
& ( SY40
= ( ^ [SY26: a,SY27: a] :
! [SY28: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY41 @ Xx2 @ Xy2 )
=> ( SY28 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY28 ) )
=> ( SY28 @ SY26 @ SY27 ) ) ) ) )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY52 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY52 ) )
=> ( SY52 @ sK3_SY35 @ SY51 ) )
=> ! [SY62: a > a > $o] :
( ( ! [SY48: a,SY49: a] :
( ? [SY50: a > a > $o] :
( ( sK2_SY18 @ SY50 )
& ( SY50 @ SY48 @ SY49 ) )
=> ( SY62 @ SY48 @ SY49 ) )
& ( sK1_PROP @ SY62 ) )
=> ( SY62 @ 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] :
( ? [SY41: a > a > $o] :
( ( sK2_SY18 @ SY41 )
& ( SY40
= ( ^ [SY26: a,SY27: a] :
! [SY28: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY41 @ Xx2 @ Xy2 )
=> ( SY28 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY28 ) )
=> ( SY28 @ SY26 @ SY27 ) ) ) ) )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY66 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY66 ) )
=> ( SY66 @ sK3_SY35 @ sK4_SY51 ) )
=> ! [SY76: a > a > $o] :
( ( ! [SY48: a,SY49: a] :
( ? [SY50: a > a > $o] :
( ( sK2_SY18 @ SY50 )
& ( SY50 @ SY48 @ SY49 ) )
=> ( SY76 @ SY48 @ SY49 ) )
& ( sK1_PROP @ SY76 ) )
=> ( SY76 @ 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] :
( ? [SY41: a > a > $o] :
( ( sK2_SY18 @ SY41 )
& ( SY40
= ( ^ [SY26: a,SY27: a] :
! [SY28: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY41 @ Xx2 @ Xy2 )
=> ( SY28 @ Xx2 @ Xy2 ) )
& ( sK1_PROP @ SY28 ) )
=> ( SY28 @ SY26 @ SY27 ) ) ) ) )
& ( SY40 @ SY38 @ SY39 ) )
=> ( SY66 @ SY38 @ SY39 ) )
& ( sK1_PROP @ SY66 ) )
=> ( SY66 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY76: a > a > $o] :
( ( ! [SY48: a,SY49: a] :
( ? [SY50: a > a > $o] :
( ( sK2_SY18 @ SY50 )
& ( SY50 @ SY48 @ SY49 ) )
=> ( SY76 @ SY48 @ SY49 ) )
& ( sK1_PROP @ SY76 ) )
=> ( SY76 @ sK3_SY35 @ sK4_SY51 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SY76: a > a > $o] :
( ( ! [SY48: a,SY49: a] :
( ? [SY50: a > a > $o] :
( ( sK2_SY18 @ SY50 )
& ( SY50 @ SY48 @ SY49 ) )
=> ( SY76 @ SY48 @ SY49 ) )
& ( sK1_PROP @ SY76 ) )
=> ( SY76 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY80: a,SY81: a] :
( ! [SY50: a > a > $o] :
( ~ ( SY50 @ SY80 @ SY81 )
| ~ ( sK2_SY18 @ SY50 ) )
| ( sK5_SY76 @ SY80 @ SY81 ) )
& ( sK1_PROP @ sK5_SY76 )
& ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY66: a > a > $o] :
( ( ( ( sK8_SY91 @ SY66 )
= ( ^ [SY104: a,SY105: a] :
! [SY106: a > a > $o] :
( ( ! [SY107: a,SY108: a] :
( ( sK9_SY98 @ SY66 @ SY107 @ SY108 )
=> ( SY106 @ SY107 @ SY108 ) )
& ( sK1_PROP @ SY106 ) )
=> ( SY106 @ SY104 @ SY105 ) ) ) )
& ( sK2_SY18 @ ( sK9_SY98 @ SY66 ) )
& ( sK8_SY91 @ SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY83 @ SY66 ) )
& ~ ( SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY83 @ 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 )
= ( ^ [SY104: a,SY105: a] :
! [SY106: a > a > $o] :
( ( ! [SY107: a,SY108: a] :
( ( sK9_SY98 @ SY66 @ SY107 @ SY108 )
=> ( SY106 @ SY107 @ SY108 ) )
& ( sK1_PROP @ SY106 ) )
=> ( SY106 @ SY104 @ SY105 ) ) ) )
& ( sK2_SY18 @ ( sK9_SY98 @ SY66 ) )
& ( sK8_SY91 @ SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY83 @ SY66 ) )
& ~ ( SY66 @ ( sK6_SY38 @ SY66 ) @ ( sK7_SY83 @ SY66 ) ) )
| ~ ( sK1_PROP @ SY66 )
| ( SY66 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY80: a,SY81: a] :
( ! [SY50: a > a > $o] :
( ~ ( SY50 @ SY80 @ SY81 )
| ~ ( sK2_SY18 @ SY50 ) )
| ( sK5_SY76 @ SY80 @ SY81 ) )
& ( sK1_PROP @ sK5_SY76 )
& ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ! [SX2: a > a > $o] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY76 ) )
| ~ ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SX0 )
!= ( ^ [SX1: a,SX2: a] :
! [SX3: a > a > $o] :
( ~ ~ ( ~ ! [SX4: a,SX5: a] :
( ~ ( sK9_SY98 @ SX0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) )
| ~ ( sK1_PROP @ SX3 ) )
| ( SX3 @ SX1 @ SX2 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SX0 ) ) )
| ~ ( sK8_SY91 @ SX0 @ ( sK6_SY38 @ SX0 ) @ ( sK7_SY83 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY38 @ SX0 ) @ ( sK7_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY76 ) )
| ~ ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY76 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY76 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) )
| ~ ( sK1_PROP @ sK5_SY76 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( sK5_SY76 @ sK3_SY35 @ sK4_SY51 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( sK1_PROP @ sK5_SY76 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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_SY83 @ 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] :
( ~ ( SX2 @ SX0 @ SX1 )
| ~ ( sK2_SY18 @ SX2 ) )
| ( sK5_SY76 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( sK1_PROP @ sK5_SY76 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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_SY83 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: a] :
( ( ! [SY114: a] :
( ! [SY115: a > a > $o] :
( ~ ( SY115 @ SV2 @ SY114 )
| ~ ( sK2_SY18 @ SY115 ) )
| ( sK5_SY76 @ SV2 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
| ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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_SY83 @ 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] :
( ( ! [SY116: a > a > $o] :
( ~ ( SY116 @ SV2 @ SV3 )
| ~ ( sK2_SY18 @ SY116 ) )
| ( sK5_SY76 @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ 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] :
( ( ( ~ ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: a,SV2: a] :
( ( ( ! [SY116: a > a > $o] :
( ~ ( SY116 @ SV2 @ SV3 )
| ~ ( sK2_SY18 @ SY116 ) ) )
= $true )
| ( ( sK5_SY76 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ 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] :
( ( ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ( ( ~ ( SV4 @ SV2 @ SV3 )
| ~ ( sK2_SY18 @ SV4 ) )
= $true )
| ( ( sK5_SY76 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV1: a > a > $o] :
( ( ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
| ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ 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 )
| ( ( sK8_SY91 @ SV1 @ ( sK6_SY38 @ SV1 ) @ ( sK7_SY83 @ 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] :
( ( ( ~ ( SV4 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV4 ) )
= $true )
| ( ( sK5_SY76 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV1: a > a > $o] :
( ( ( ( ( sK8_SY91 @ SV1 )
!= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( sK2_SY18 @ SV4 ) )
= $true )
| ( ( sK5_SY76 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 )
= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV1: a > a > $o] :
( ( ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV3: a,SV2: a,SV4: a > a > $o] :
( ( ( sK2_SY18 @ SV4 )
= $false )
| ( ( SV4 @ SV2 @ SV3 )
= $false )
| ( ( sK5_SY76 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV1: a > a > $o] :
( ( ( ! [SV5: a] :
( ( sK8_SY91 @ SV1 @ SV5 )
= ( ^ [SY117: a] :
! [SY118: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY118 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY118 ) )
| ( SY118 @ SV5 @ SY117 ) ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 )
= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK2_SY18 @ ( sK9_SY98 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV6: a,SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 @ SV6 )
= ( ^ [SY121: a] :
! [SY122: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY122 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY122 ) )
| ( SY122 @ SV6 @ SY121 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( ( sK8_SY91 @ SV1 )
= ( ^ [SY109: a,SY110: a] :
! [SY111: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY111 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY111 ) )
| ( SY111 @ SY109 @ SY110 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV6: a,SV1: a > a > $o] :
( ( ( ! [SV7: a] :
( ( sK8_SY91 @ SV1 @ SV6 @ SV7 )
= ( ! [SY125: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY125 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY125 ) )
| ( SY125 @ SV6 @ SV7 ) ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV6: a,SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 @ SV6 )
= ( ^ [SY121: a] :
! [SY122: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY122 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY122 ) )
| ( SY122 @ SV6 @ SY121 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV6: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( ( sK8_SY91 @ SV1 @ SV6 )
= ( ^ [SY121: a] :
! [SY122: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY122 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY122 ) )
| ( SY122 @ SV6 @ SY121 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
| ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(69,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(71,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) )
| ~ ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) ) )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(74,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 ) )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(75,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(76,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) )
| ~ ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV1: a > a > $o,SV6: a,SV8: a] :
( ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(78,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(79,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(80,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) )
| ~ ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(81,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) )
| ~ ( sK1_PROP @ SV9 ) )
| ( SV9 @ SV6 @ SV8 ) )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) )
| ~ ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) )
| ~ ( sK1_PROP @ SV9 ) ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV1: a > a > $o,SV6: a,SV8: a] :
( ( ( ~ ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) )
| ~ ( sK1_PROP @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ! [SY131: a,SY132: a] :
( ~ ( sK9_SY98 @ SV1 @ SY131 @ SY132 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SY131 @ SY132 ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV1: a > a > $o,SV6: a,SV8: a] :
( ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) )
| ~ ( sK1_PROP @ SV10 ) )
| ( SV10 @ SV6 @ SV8 ) )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) )
| ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV6: a,SV8: a,SV11: a,SV1: a > a > $o] :
( ( ( ! [SY137: a] :
( ~ ( sK9_SY98 @ SV1 @ SV11 @ SY137 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SY137 ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) )
| ~ ( sK1_PROP @ SV10 ) ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
| ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 ) )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(104,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(105,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) )
| ~ ( sK1_PROP @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV8: a,SV6: a,SV9: a > a > $o,SV1: a > a > $o] :
( ( ( ! [SY133: a,SY134: a] :
( ~ ( sK9_SY98 @ SV1 @ SY133 @ SY134 )
| ( SV9 @ SY133 @ SY134 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(107,plain,
! [SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ SV11 @ SV12 ) )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(110,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) )
| ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(111,plain,
! [SV9: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ! [SY138: a] :
( ~ ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ SY138 )
| ( SV9 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ SY138 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(112,plain,
! [SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( ~ ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) )
| ~ ( sK1_PROP @ SV13 ) )
| ( SV13 @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV9: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
| ( SV9 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(117,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
| ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(118,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) )
| ~ ( sK1_PROP @ SV13 ) ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV8: a,SV6: a,SV10: a > a > $o,SV1: a > a > $o] :
( ( ( ! [SY135: a,SY136: a] :
( ~ ( sK9_SY98 @ SV1 @ SY135 @ SY136 )
| ( SV10 @ SY135 @ SY136 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV9: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(121,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV9: a > a > $o] :
( ( ( SV9 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(122,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ( sK8_SY91 @ SV1 @ SV6 @ SV8 ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(123,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ~ ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) )
| ~ ( sK1_PROP @ SV13 ) ) )
= $false )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ! [SY141: a] :
( ~ ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ SY141 )
| ( SV10 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ SY141 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[119]) ).
thf(126,plain,
! [SV9: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV9 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV9: a > a > $o] :
( ( ( sK1_PROP @ SV9 )
= $false )
| ( ( SV9 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(129,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( ! [SY128: a > a > $o] :
( ~ ~ ( ~ ! [SY112: a,SY113: a] :
( ~ ( sK9_SY98 @ SV1 @ SY112 @ SY113 )
| ( SY128 @ SY112 @ SY113 ) )
| ~ ( sK1_PROP @ SY128 ) )
| ( SY128 @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(130,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) )
| ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(131,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
| ( SV10 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(132,plain,
! [SV6: a,SV8: a,SV1: a > a > $o,SV9: a > a > $o] :
( ( ( sK1_PROP @ SV9 )
= $false )
| ( ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV9: a > a > $o,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( SV9 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( sK1_PROP @ SV9 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) )
| ~ ( sK1_PROP @ SV14 ) )
| ( SV14 @ SV6 @ SV8 ) )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(138,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV10: a > a > $o] :
( ( ( SV10 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV9: a > a > $o,SV8: a,SV6: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK8_SY91 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( SV9 @ SV6 @ SV8 )
= $true )
| ( ( sK9_SY98 @ SV1 @ ( sK11_SY133 @ SV8 @ SV6 @ SV9 @ SV1 ) @ ( sK12_SY138 @ SV9 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( sK1_PROP @ SV9 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) )
| ~ ( sK1_PROP @ SV14 ) ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(141,plain,
! [SV8: a,SV6: a,SV13: a > a > $o,SV1: a > a > $o] :
( ( ( ! [SY139: a,SY140: a] :
( ~ ( sK9_SY98 @ SV1 @ SY139 @ SY140 )
| ( SV13 @ SY139 @ SY140 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(143,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV10: a > a > $o] :
( ( ( sK1_PROP @ SV10 )
= $false )
| ( ( SV10 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(144,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) )
| ~ ( sK1_PROP @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(145,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ! [SY144: a] :
( ~ ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ SY144 )
| ( SV13 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ SY144 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(146,plain,
! [SV6: a,SV8: a,SV1: a > a > $o,SV10: a > a > $o] :
( ( ( sK1_PROP @ SV10 )
= $false )
| ( ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(147,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( SV10 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( sK1_PROP @ SV10 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(148,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) )
| ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(149,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
| ( SV13 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(150,plain,
! [SV10: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV6 @ SV8 )
= $false )
| ( ( SV10 @ SV6 @ SV8 )
= $true )
| ( ( sK9_SY98 @ SV1 @ ( sK13_SY135 @ SV8 @ SV6 @ SV10 @ SV1 ) @ ( sK14_SY141 @ SV10 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( sK1_PROP @ SV10 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(151,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ~ ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(152,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(153,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV13: a > a > $o] :
( ( ( SV13 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(154,plain,
! [SV12: a,SV11: a,SV8: a,SV6: a,SV14: a > a > $o,SV1: a > a > $o] :
( ( ( ! [SY142: a,SY143: a] :
( ~ ( sK9_SY98 @ SV1 @ SY142 @ SY143 )
| ( SV14 @ SY142 @ SY143 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(155,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV13 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(156,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV13: a > a > $o] :
( ( ( sK1_PROP @ SV13 )
= $false )
| ( ( SV13 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(157,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV1: a > a > $o] :
( ( ( ! [SY145: a] :
( ~ ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ SY145 )
| ( SV14 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ SY145 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(158,plain,
! [SV6: a,SV8: a,SV1: a > a > $o,SV13: a > a > $o] :
( ( ( sK1_PROP @ SV13 )
= $false )
| ( ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(159,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( SV13 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $false )
| ( ( sK1_PROP @ SV13 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(160,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
| ( SV14 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(161,plain,
! [SV13: a > a > $o,SV6: a,SV8: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK1_PROP @ ( sK10_SY128 @ SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( SV13 @ SV6 @ SV8 )
= $true )
| ( ( sK9_SY98 @ SV1 @ ( sK15_SY139 @ SV8 @ SV6 @ SV13 @ SV1 ) @ ( sK16_SY144 @ SV13 @ SV6 @ SV8 @ SV1 ) )
= $true )
| ( ( sK1_PROP @ SV13 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(162,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV1: a > a > $o] :
( ( ( ~ ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(163,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV14: a > a > $o] :
( ( ( SV14 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(164,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV1: a > a > $o] :
( ( ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV14 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(165,plain,
! [SV1: a > a > $o,SV6: a,SV8: a,SV11: a,SV12: a,SV14: a > a > $o] :
( ( ( sK1_PROP @ SV14 )
= $false )
| ( ( SV14 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $false )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(166,plain,
! [SV6: a,SV8: a,SV11: a,SV12: a,SV1: a > a > $o,SV14: a > a > $o] :
( ( ( sK1_PROP @ SV14 )
= $false )
| ( ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( ~ ( sK1_PROP @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(167,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( SV14 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $false )
| ( ( sK1_PROP @ SV14 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(168,plain,
! [SV14: a > a > $o,SV6: a,SV8: a,SV12: a,SV11: a,SV1: a > a > $o] :
( ( ( sK1_PROP @ SV1 )
= $false )
| ( ( sK9_SY98 @ SV1 @ SV11 @ SV12 )
= $false )
| ( ( sK10_SY128 @ SV8 @ SV6 @ SV1 @ SV11 @ SV12 )
= $true )
| ( ( SV14 @ SV6 @ SV8 )
= $true )
| ( ( sK9_SY98 @ SV1 @ ( sK17_SY142 @ SV12 @ SV11 @ SV8 @ SV6 @ SV14 @ SV1 ) @ ( sK18_SY145 @ SV14 @ SV6 @ SV8 @ SV11 @ SV12 @ SV1 ) )
= $true )
| ( ( sK1_PROP @ SV14 )
= $false )
| ( ( SV1 @ sK3_SY35 @ sK4_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(169,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,168,167,161,159,150,147,139,134,133,113,95,82,68,64,60,58,55,48,42,33]) ).
thf(170,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV123^5 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 28 16:30:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.36
% 0.20/0.36 No.of.Axioms: 0
% 0.20/0.36
% 0.20/0.36 Length.of.Defs: 0
% 0.20/0.36
% 0.20/0.36 Contains.Choice.Funs: false
% 0.20/0.37 (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)...........
% 10.46/10.64
% 10.46/10.64 ********************************
% 10.46/10.64 * All subproblems solved! *
% 10.46/10.64 ********************************
% 10.46/10.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:169,loop_count:0,foatp_calls:1,translation:fof_full)
% 10.46/10.66
% 10.46/10.66 %**** Beginning of derivation protocol ****
% 10.46/10.66 % SZS output start CNFRefutation
% See solution above
% 10.46/10.66
% 10.46/10.66 %**** End of derivation protocol ****
% 10.46/10.66 %**** no. of clauses in derivation: 170 ****
% 10.46/10.66 %**** clause counter: 169 ****
% 10.46/10.66
% 10.46/10.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:169,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------