TSTP Solution File: SEV129^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV129^5 : 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 : n006.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 17:35:13 EDT 2022
% Result : Theorem 0.91s 1.09s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 23
% Syntax : Number of formulae : 209 ( 34 unt; 22 typ; 0 def)
% Number of atoms : 2010 ( 809 equ; 0 cnn)
% Maximal formula atoms : 7 ( 10 avg)
% Number of connectives : 7558 (1039 ~;1012 |; 85 &;5341 @)
% ( 0 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 970 ( 970 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 4 con; 0-6 aty)
% Number of variables : 1210 ( 61 ^1126 !; 23 ?;1210 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY118,type,
sK10_SY118: ( a > a > $o ) > a > a > $o ).
thf(tp_sK11_SV9,type,
sK11_SV9: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK12_SV10,type,
sK12_SV10: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK13_SY180,type,
sK13_SY180: ( a > a > $o ) > a > a > ( a > a > $o ) > a > a > $o ).
thf(tp_sK14_SY186,type,
sK14_SY186: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK15_SY196,type,
sK15_SY196: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK16_SY188,type,
sK16_SY188: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK17_SY188,type,
sK17_SY188: a > a > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK18_SY201,type,
sK18_SY201: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK19_SY203,type,
sK19_SY203: ( a > a > $o ) > ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK1_S,type,
sK1_S: ( a > a > $o ) > $o ).
thf(tp_sK20_SY205,type,
sK20_SY205: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK21_SY206,type,
sK21_SY206: ( a > a > $o ) > ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK2_SY26,type,
sK2_SY26: a ).
thf(tp_sK3_SY51,type,
sK3_SY51: a ).
thf(tp_sK4_SY82,type,
sK4_SY82: a > a > $o ).
thf(tp_sK5_Xx0,type,
sK5_Xx0: ( a > a > $o ) > a ).
thf(tp_sK6_SY113,type,
sK6_SY113: ( a > a > $o ) > a ).
thf(tp_sK7_SY115,type,
sK7_SY115: ( a > a > $o ) > a ).
thf(tp_sK8_SY29,type,
sK8_SY29: ( a > a > $o ) > a ).
thf(tp_sK9_SY116,type,
sK9_SY116: ( a > a > $o ) > a ).
thf(1,conjecture,
! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM253_A_pme) ).
thf(2,negated_conjecture,
( ( ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY26: a,SY27: a] :
( ! [SY28: a > a > $o] :
( ( ! [SY29: a,SY30: a] :
( ? [SY31: a > a > $o] :
( ( sK1_S @ SY31 )
& ( SY31 @ SY29 @ SY30 ) )
=> ( SY28 @ SY29 @ SY30 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY28 @ Xx0 @ Xy0 )
& ( SY28 @ Xy0 @ Xz ) )
=> ( SY28 @ Xx0 @ Xz ) ) )
=> ( SY28 @ SY26 @ SY27 ) )
=> ! [SY35: a > a > $o] :
( ( ! [SY36: a,SY37: a] :
( ? [SY38: a > a > $o] :
( ? [SY39: a > a > $o] :
( ( sK1_S @ SY39 )
& ( SY38
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( SY38 @ SY36 @ SY37 ) )
=> ( SY35 @ SY36 @ SY37 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY35 @ Xx0 @ Xy0 )
& ( SY35 @ Xy0 @ Xz ) )
=> ( SY35 @ Xx0 @ Xz ) ) )
=> ( SY35 @ SY26 @ SY27 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY51: a] :
( ! [SY52: a > a > $o] :
( ( ! [SY29: a,SY30: a] :
( ? [SY31: a > a > $o] :
( ( sK1_S @ SY31 )
& ( SY31 @ SY29 @ SY30 ) )
=> ( SY52 @ SY29 @ SY30 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY52 @ Xx0 @ Xy0 )
& ( SY52 @ Xy0 @ Xz ) )
=> ( SY52 @ Xx0 @ Xz ) ) )
=> ( SY52 @ sK2_SY26 @ SY51 ) )
=> ! [SY59: a > a > $o] :
( ( ! [SY36: a,SY37: a] :
( ? [SY38: a > a > $o] :
( ? [SY39: a > a > $o] :
( ( sK1_S @ SY39 )
& ( SY38
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( SY38 @ SY36 @ SY37 ) )
=> ( SY59 @ SY36 @ SY37 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY59 @ Xx0 @ Xy0 )
& ( SY59 @ Xy0 @ Xz ) )
=> ( SY59 @ Xx0 @ Xz ) ) )
=> ( SY59 @ sK2_SY26 @ SY51 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY75: a > a > $o] :
( ( ! [SY29: a,SY30: a] :
( ? [SY31: a > a > $o] :
( ( sK1_S @ SY31 )
& ( SY31 @ SY29 @ SY30 ) )
=> ( SY75 @ SY29 @ SY30 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY75 @ Xx0 @ Xy0 )
& ( SY75 @ Xy0 @ Xz ) )
=> ( SY75 @ Xx0 @ Xz ) ) )
=> ( SY75 @ sK2_SY26 @ sK3_SY51 ) )
=> ! [SY82: a > a > $o] :
( ( ! [SY36: a,SY37: a] :
( ? [SY38: a > a > $o] :
( ? [SY39: a > a > $o] :
( ( sK1_S @ SY39 )
& ( SY38
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( SY38 @ SY36 @ SY37 ) )
=> ( SY82 @ SY36 @ SY37 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY82 @ Xx0 @ Xy0 )
& ( SY82 @ Xy0 @ Xz ) )
=> ( SY82 @ Xx0 @ Xz ) ) )
=> ( SY82 @ sK2_SY26 @ sK3_SY51 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY75: a > a > $o] :
( ( ! [SY29: a,SY30: a] :
( ? [SY31: a > a > $o] :
( ( sK1_S @ SY31 )
& ( SY31 @ SY29 @ SY30 ) )
=> ( SY75 @ SY29 @ SY30 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY75 @ Xx0 @ Xy0 )
& ( SY75 @ Xy0 @ Xz ) )
=> ( SY75 @ Xx0 @ Xz ) ) )
=> ( SY75 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY82: a > a > $o] :
( ( ! [SY36: a,SY37: a] :
( ? [SY38: a > a > $o] :
( ? [SY39: a > a > $o] :
( ( sK1_S @ SY39 )
& ( SY38
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( SY38 @ SY36 @ SY37 ) )
=> ( SY82 @ SY36 @ SY37 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY82 @ Xx0 @ Xy0 )
& ( SY82 @ Xy0 @ Xz ) )
=> ( SY82 @ Xx0 @ Xz ) ) )
=> ( SY82 @ sK2_SY26 @ sK3_SY51 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SY82: a > a > $o] :
( ( ! [SY36: a,SY37: a] :
( ? [SY38: a > a > $o] :
( ? [SY39: a > a > $o] :
( ( sK1_S @ SY39 )
& ( SY38
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( SY38 @ SY36 @ SY37 ) )
=> ( SY82 @ SY36 @ SY37 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY82 @ Xx0 @ Xy0 )
& ( SY82 @ Xy0 @ Xz ) )
=> ( SY82 @ Xx0 @ Xz ) ) )
=> ( SY82 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY98: a,SY99: a] :
( ! [SY38: a > a > $o] :
( ! [SY39: a > a > $o] :
( ( SY38
!= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) )
| ~ ( sK1_S @ SY39 ) )
| ~ ( SY38 @ SY98 @ SY99 ) )
| ( sK4_SY82 @ SY98 @ SY99 ) )
& ! [SY110: a,SY111: a,SY112: a] :
( ~ ( sK4_SY82 @ SY110 @ SY111 )
| ~ ( sK4_SY82 @ SY111 @ SY112 )
| ( sK4_SY82 @ SY110 @ SY112 ) )
& ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY75: a > a > $o] :
( ( ( sK10_SY118 @ SY75 @ ( sK8_SY29 @ SY75 ) @ ( sK9_SY116 @ SY75 ) )
& ( sK1_S @ ( sK10_SY118 @ SY75 ) )
& ~ ( SY75 @ ( sK8_SY29 @ SY75 ) @ ( sK9_SY116 @ SY75 ) ) )
| ( ( SY75 @ ( sK5_Xx0 @ SY75 ) @ ( sK6_SY113 @ SY75 ) )
& ( SY75 @ ( sK6_SY113 @ SY75 ) @ ( sK7_SY115 @ SY75 ) )
& ~ ( SY75 @ ( sK5_Xx0 @ SY75 ) @ ( sK7_SY115 @ SY75 ) ) )
| ( SY75 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(12,plain,
( ( ! [SY75: a > a > $o] :
( ( ( sK10_SY118 @ SY75 @ ( sK8_SY29 @ SY75 ) @ ( sK9_SY116 @ SY75 ) )
& ( sK1_S @ ( sK10_SY118 @ SY75 ) )
& ~ ( SY75 @ ( sK8_SY29 @ SY75 ) @ ( sK9_SY116 @ SY75 ) ) )
| ( ( SY75 @ ( sK5_Xx0 @ SY75 ) @ ( sK6_SY113 @ SY75 ) )
& ( SY75 @ ( sK6_SY113 @ SY75 ) @ ( sK7_SY115 @ SY75 ) )
& ~ ( SY75 @ ( sK5_Xx0 @ SY75 ) @ ( sK7_SY115 @ SY75 ) ) )
| ( SY75 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SY98: a,SY99: a] :
( ! [SY38: a > a > $o] :
( ! [SY39: a > a > $o] :
( ( SY38
!= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a] :
( ( SY39 @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) )
& ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xx2 @ Xy2 )
& ( Xp10 @ Xy2 @ Xz ) )
=> ( Xp10 @ Xx2 @ Xz ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) )
| ~ ( sK1_S @ SY39 ) )
| ~ ( SY38 @ SY98 @ SY99 ) )
| ( sK4_SY82 @ SY98 @ SY99 ) )
& ! [SY110: a,SY111: a,SY112: a] :
( ~ ( sK4_SY82 @ SY110 @ SY111 )
| ~ ( sK4_SY82 @ SY111 @ SY112 )
| ( sK4_SY82 @ SY110 @ SY112 ) )
& ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ~ ( ~ ( sK10_SY118 @ SX0 @ ( sK8_SY29 @ SX0 ) @ ( sK9_SY116 @ SX0 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK8_SY29 @ SX0 ) @ ( sK9_SY116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_Xx0 @ SX0 ) @ ( sK6_SY113 @ SX0 ) )
| ~ ( SX0 @ ( sK6_SY113 @ SX0 ) @ ( sK7_SY115 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK5_Xx0 @ SX0 ) @ ( sK7_SY115 @ SX0 ) ) )
| ( SX0 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(16,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ( SV1 @ sK2_SY26 @ sK3_SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( sK4_SY82 @ sK2_SY26 @ sK3_SY51 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,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 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( sK4_SY82 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK4_SY82 @ SX0 @ SX1 )
| ~ ( sK4_SY82 @ SX1 @ SX2 )
| ( sK4_SY82 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: a] :
( ( ! [SY119: a] :
( ! [SY120: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY120
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SY120 @ SV2 @ SY119 ) )
| ( sK4_SY82 @ SV2 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV3: a] :
( ( ! [SY130: a,SY131: a] :
( ~ ( sK4_SY82 @ SV3 @ SY130 )
| ~ ( sK4_SY82 @ SY130 @ SY131 )
| ( sK4_SY82 @ SV3 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
| ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: a,SV2: a] :
( ( ! [SY132: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY132
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SY132 @ SV2 @ SV4 ) )
| ( sK4_SY82 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV5: a,SV3: a] :
( ( ! [SY142: a] :
( ~ ( sK4_SY82 @ SV3 @ SV5 )
| ~ ( sK4_SY82 @ SV5 @ SY142 )
| ( sK4_SY82 @ SV3 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_S @ ( sK10_SY118 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV4: a,SV2: a] :
( ( ( ! [SY132: a > a > $o] :
( ! [SX3: a > a > $o] :
( ( SY132
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SX3 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SX3 ) )
| ~ ( SY132 @ SV2 @ SV4 ) ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ~ ( sK4_SY82 @ SV3 @ SV5 )
| ~ ( sK4_SY82 @ SV5 @ SV6 )
| ( sK4_SY82 @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: a > a > $o] :
( ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: a > a > $o] :
( ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY143: a > a > $o] :
( ( SV7
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SY143 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SY143 ) )
| ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ( sK4_SY82 @ SV3 @ SV5 )
| ~ ( sK4_SY82 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY82 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY143: a > a > $o] :
( ( SV7
!= ( ^ [SX4: a,SX5: a] :
! [SX6: a > a > $o] :
( ~ ~ ( ~ ! [SX7: a,SX8: a] :
( ~ ( SY143 @ SX7 @ SX8 )
| ( SX6 @ SX7 @ SX8 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SX6 @ SX7 @ SX8 )
| ~ ( SX6 @ SX8 @ SX9 ) )
| ( SX6 @ SX7 @ SX9 ) ) )
| ( SX6 @ SX4 @ SX5 ) ) ) )
| ~ ( sK1_S @ SY143 ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ( sK4_SY82 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( sK4_SY82 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY82 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( ( SV7
!= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) )
| ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( sK4_SY82 @ SV3 @ SV5 )
= $false )
| ( ( ~ ( sK4_SY82 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY82 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $true )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) ) )
= $true )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $true )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( ( SV7
!= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV3: a,SV6: a,SV5: a] :
( ( ( sK4_SY82 @ SV5 @ SV6 )
= $false )
| ( ( sK4_SY82 @ SV3 @ SV5 )
= $false )
| ( ( sK4_SY82 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(79,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( SV7
= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(82,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( ! [SV9: a] :
( ( SV7 @ SV9 )
= ( ^ [SY160: a] :
! [SY161: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY161 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY161 @ SX7 @ SX8 )
| ~ ( SY161 @ SX8 @ SX9 ) )
| ( SY161 @ SX7 @ SX9 ) ) )
| ( SY161 @ SV9 @ SY160 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( SV7
= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[80]) ).
thf(87,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
= $true )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $true )
| ( ( sK10_SY118 @ SV1 @ ( sK8_SY29 @ SV1 ) @ ( sK9_SY116 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_Xx0 @ SV1 ) @ ( sK6_SY113 @ SV1 ) )
= $true )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK6_SY113 @ SV1 ) @ ( sK7_SY115 @ SV1 ) )
= $true )
| ( ( sK1_S @ ( sK10_SY118 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(91,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY167: a] :
! [SY168: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY168 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY168 @ SX7 @ SX8 )
| ~ ( SY168 @ SX8 @ SX9 ) )
| ( SY168 @ SX7 @ SX9 ) ) )
| ( SY168 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY167 ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(92,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7
= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ! [SV10: a] :
( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SV10 )
= ( ! [SY174: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY174 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY174 @ SX7 @ SX8 )
| ~ ( SY174 @ SX8 @ SX9 ) )
| ( SY174 @ SX7 @ SX9 ) ) )
| ( SY174 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SV10 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[91]) ).
thf(94,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY167: a] :
! [SY168: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY168 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY168 @ SX7 @ SX8 )
| ~ ( SY168 @ SX8 @ SX9 ) )
| ( SY168 @ SX7 @ SX9 ) ) )
| ( SY168 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY167 ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[91]) ).
thf(95,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV7
= ( ^ [SY152: a,SY153: a] :
! [SY154: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY154 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY154 @ SX7 @ SX8 )
| ~ ( SY154 @ SX8 @ SX9 ) )
| ( SY154 @ SX7 @ SX9 ) ) )
| ( SY154 @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[93]) ).
thf(97,plain,
! [SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY167: a] :
! [SY168: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY168 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY168 @ SX7 @ SX8 )
| ~ ( SY168 @ SX8 @ SX9 ) )
| ( SY168 @ SX7 @ SX9 ) ) )
| ( SY168 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY167 ) ) ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
| ~ ( ~ ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(99,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(100,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY167: a] :
! [SY168: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY168 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY168 @ SX7 @ SX8 )
| ~ ( SY168 @ SX8 @ SX9 ) )
| ( SY168 @ SX7 @ SX9 ) ) )
| ( SY168 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY167 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(102,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(103,plain,
! [SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(105,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(106,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $true )
| ( ( ~ ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) )
| ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
| ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(110,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(111,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) )
| ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o] :
( ( ( ! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY155: a,SY156: a] :
( ~ ( SV8 @ SY155 @ SY156 )
| ( SY180 @ SY155 @ SY156 ) )
| ~ ! [SX7: a,SX8: a,SX9: a] :
( ~ ~ ( ~ ( SY180 @ SX7 @ SX8 )
| ~ ( SY180 @ SX8 @ SX9 ) )
| ( SY180 @ SX7 @ SX9 ) ) )
| ( SY180 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( ~ ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) )
| ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) )
| ~ ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(115,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) )
| ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(116,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) )
| ~ ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(117,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(118,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) ) )
= $true )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( ~ ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) )
| ~ ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(120,plain,
! [SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY186: a,SY187: a] :
( ~ ( SV8 @ SY186 @ SY187 )
| ( SV11 @ SY186 @ SY187 ) ) )
= $false )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) )
| ~ ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(123,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY196: a] :
( ~ ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ SY196 )
| ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ SY196 ) ) )
= $false )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(125,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(126,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(127,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
| ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(128,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY191: a,SY192: a] :
( ~ ( SV8 @ SY191 @ SY192 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY191 @ SY192 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(129,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY193: a,SY194: a,SY195: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY194 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY194 @ SY195 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY193 @ SY195 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(130,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(131,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(132,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV12: a,SV8: a > a > $o] :
( ( ( ! [SY197: a] :
( ~ ( SV8 @ SV12 @ SY197 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SY197 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY198: a,SY199: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY198 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SY198 @ SY199 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY199 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(134,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( ~ ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(135,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ SV12 @ SV14 )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY200: a] :
( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SY200 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY200 ) ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY188: a,SY189: a,SY190: a] :
( ~ ~ ( ~ ( SV11 @ SY188 @ SY189 )
| ~ ( SV11 @ SY189 @ SY190 ) )
| ( SV11 @ SY188 @ SY190 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY202 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(140,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ SV12 @ SV14 ) )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(141,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
| ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(142,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ! [SY203: a,SY204: a] :
( ~ ~ ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY203 )
| ~ ( SV11 @ SY203 @ SY204 ) )
| ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY204 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(143,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY205: a] :
( ~ ~ ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ SY205 ) )
| ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY205 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(144,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( SV8 @ SV12 @ SV14 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(145,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) ) )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(146,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ! [SY206: a] :
( ~ ~ ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ SY206 ) )
| ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY206 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(147,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
| ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(148,plain,
! [SV14: a,SV12: a,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV8 @ SV12 @ SV14 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(149,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(150,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
| ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(151,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(152,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(153,plain,
! [SV14: a,SV12: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV8 @ SV12 @ SV14 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(154,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(155,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(156,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(157,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(158,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 ) )
= $true )
| ( ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( ~ ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(165,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(166,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(167,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(168,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(169,plain,
! [SV13: a,SV16: a,SV15: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(171,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(172,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(173,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(174,plain,
! [SV15: a,SV16: a,SV13: a,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(176,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(177,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(178,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV13: a,SV16: a,SV15: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( sK13_SY180 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
! [SV11: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(182,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK16_SY188 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(183,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK18_SY201 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK20_SY205 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(184,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK17_SY188 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(185,plain,
! [SV8: a > a > $o,SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( SV11 @ ( sK19_SY203 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK21_SY206 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK14_SY186 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK15_SY196 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK12_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( sK4_SY82 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(186,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,185,184,183,182,179,166,163,153,123,106,100,95,90,89,88,87,79,78,77,75,73,63]) ).
thf(187,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEV129^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 11:18:53 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.17/0.35 (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)................
% 0.91/1.09
% 0.91/1.09 ********************************
% 0.91/1.09 * All subproblems solved! *
% 0.91/1.09 ********************************
% 0.91/1.09 % 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:186,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.91/1.13
% 0.91/1.13 %**** Beginning of derivation protocol ****
% 0.91/1.13 % SZS output start CNFRefutation
% See solution above
% 0.91/1.13
% 0.91/1.13 %**** End of derivation protocol ****
% 0.91/1.13 %**** no. of clauses in derivation: 187 ****
% 0.91/1.13 %**** clause counter: 186 ****
% 0.91/1.13
% 0.91/1.13 % 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:186,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------