%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV129^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:36 AM UTC 2026
% Result : Theorem 2.69s 0.70s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 1
% Syntax : Number of formulae : 191 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 1939 ( 790 equ; 0 cnn)
% Maximal formula atoms : 7 ( 10 avg)
% Number of connectives : 7501 (1247 ~;1066 |; 78 &;5026 @)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 865 ( 865 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 4 con; 0-6 aty)
% Number of variables : 1365 ( 76 ^;1263 !; 26 ?;1365 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY148,type,
sK10_SY148: ( a > a > $o ) > a ).
thf(tp_sK11_SY101,type,
sK11_SY101: ( a > a > $o ) > a ).
thf(tp_sK12_SY101,type,
sK12_SY101: ( a > a > $o ) > a ).
thf(tp_sK13_SY158,type,
sK13_SY158: ( a > a > $o ) > a ).
thf(tp_sK14_SY160,type,
sK14_SY160: ( a > a > $o ) > a ).
thf(tp_sK15_SY170,type,
sK15_SY170: ( a > a > $o ) > a ).
thf(tp_sK16_SY171,type,
sK16_SY171: ( a > a > $o ) > a ).
thf(tp_sK17_SV9,type,
sK17_SV9: a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK18_SV10,type,
sK18_SV10: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK19_SY192,type,
sK19_SY192: ( a > a > $o ) > a > a > ( a > a > $o ) > a > a > $o ).
thf(tp_sK1_S,type,
sK1_S: ( a > a > $o ) > $o ).
thf(tp_sK20_SY198,type,
sK20_SY198: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK21_SY208,type,
sK21_SY208: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK22_SY200,type,
sK22_SY200: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK23_SY200,type,
sK23_SY200: a > a > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK24_SY213,type,
sK24_SY213: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK25_SY215,type,
sK25_SY215: ( a > a > $o ) > ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(tp_sK26_SY217,type,
sK26_SY217: ( a > a > $o ) > a > a > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK27_SY218,type,
sK27_SY218: ( 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_SX0,type,
sK4_SX0: a > a > $o ).
thf(tp_sK5_SY98,type,
sK5_SY98: ( a > a > $o ) > a ).
thf(tp_sK6_SY119,type,
sK6_SY119: ( a > a > $o ) > a ).
thf(tp_sK7_SY101,type,
sK7_SY101: ( a > a > $o ) > a ).
thf(tp_sK8_SY134,type,
sK8_SY134: ( a > a > $o ) > a > a > $o ).
thf(tp_sK9_SY146,type,
sK9_SY146: ( 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/sandbox2/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,
( ( ! [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(copy,[status(thm)],[7]) ).
thf(11,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(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SX1 @ SX2 ) )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SX1 @ SX2 ) )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY26 @ sK3_SY51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
( ( ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SX1 @ SX2 ) )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY26 @ sK3_SY51 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: a > a > $o] :
( ( ~ ~ ( ~ ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) )
| ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
| ( SV1 @ sK2_SY26 @ sK3_SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) )
| ~ ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) )
| ( sK4_SX0 @ sK2_SY26 @ sK3_SY51 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(17,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) )
| ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) )
| ~ ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( sK4_SX0 @ sK2_SY26 @ sK3_SY51 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) )
| ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) )
| ~ ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: a > a > $o] :
( ( ( ~ ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) )
| ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) )
| ~ ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: a > a > $o] :
( ( ( ~ ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) ) )
= $true )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY98: a,SY99: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX3 )
| ~ ( SX3 @ SY98 @ SY99 ) )
| ( SV1 @ SY98 @ SY99 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ! [SY104: a,SY105: a] :
( ~ ~ ! [SX3: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SX3
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SX3 @ SY104 @ SY105 ) )
| ( sK4_SX0 @ SY104 @ SY105 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [SY116: a,SY117: a,SY118: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SY116 @ SY117 )
| ~ ( sK4_SX0 @ SY117 @ SY118 ) )
| ( sK4_SX0 @ SY116 @ SY118 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY119: a] :
( ~ ~ ! [SY120: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY120 )
| ~ ( SY120 @ ( sK5_SY98 @ SV1 ) @ SY119 ) )
| ( SV1 @ ( sK5_SY98 @ SV1 ) @ SY119 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(31,plain,
! [SV2: a] :
( ( ! [SY121: a] :
( ~ ~ ! [SY122: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SY122
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SY122 @ SV2 @ SY121 ) )
| ( sK4_SX0 @ SV2 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV3: a] :
( ( ! [SY132: a,SY133: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SV3 @ SY132 )
| ~ ( sK4_SX0 @ SY132 @ SY133 ) )
| ( sK4_SX0 @ SV3 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ! [SY134: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY134 )
| ~ ( SY134 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) )
| ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(34,plain,
! [SV4: a,SV2: a] :
( ( ~ ~ ! [SY135: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SY135
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SY135 @ SV2 @ SV4 ) )
| ( sK4_SX0 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV5: a,SV3: a] :
( ( ! [SY145: a] :
( ~ ~ ( ~ ( sK4_SX0 @ SV3 @ SV5 )
| ~ ( sK4_SX0 @ SV5 @ SY145 ) )
| ( sK4_SX0 @ SV3 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ! [SY134: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY134 )
| ~ ( SY134 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV4: a,SV2: a] :
( ( ( ~ ~ ! [SY135: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SY135
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SY135 @ SV2 @ SV4 ) ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ~ ~ ( ~ ( sK4_SX0 @ SV3 @ SV5 )
| ~ ( sK4_SX0 @ SV5 @ SV6 ) )
| ( sK4_SX0 @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( ~ ! [SY134: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY134 )
| ~ ( SY134 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV4: a,SV2: a] :
( ( ( ~ ! [SY135: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SY135
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SY135 @ SV2 @ SV4 ) ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ~ ( ~ ( sK4_SX0 @ SV3 @ SV5 )
| ~ ( sK4_SX0 @ SV5 @ SV6 ) ) )
= $true )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY134: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY134 )
| ~ ( SY134 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY146: a,SY147: a] :
( ~ ~ ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ SY146 )
| ~ ( SV1 @ SY146 @ SY147 ) )
| ( SV1 @ ( sK7_SY101 @ SV1 ) @ SY147 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(46,plain,
! [SV4: a,SV2: a] :
( ( ( ! [SY135: a > a > $o] :
~ ~ ( ~ ~ ! [SX4: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SX4 )
| ( SY135
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SX4 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SY135 @ SV2 @ SV4 ) ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ( ~ ( sK4_SX0 @ SV3 @ SV5 )
| ~ ( sK4_SX0 @ SV5 @ SV6 ) ) )
= $false )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK1_S @ ( sK8_SY134 @ SV1 ) )
| ~ ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(49,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY148: a] :
( ~ ~ ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ SY148 ) )
| ( SV1 @ ( sK7_SY101 @ SV1 ) @ SY148 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(50,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ( ~ ~ ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SV7 @ SV2 @ SV4 ) ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ( sK4_SX0 @ SV3 @ SV5 )
| ~ ( sK4_SX0 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( sK1_S @ ( sK8_SY134 @ SV1 ) )
| ~ ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) )
| ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[49]) ).
thf(54,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( ~ ~ ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SV7 @ SV2 @ SV4 ) ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( ~ ( sK4_SX0 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( sK4_SX0 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_S @ ( sK8_SY134 @ SV1 ) )
| ~ ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK10_SY148 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) )
| ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV6: a,SV5: a,SV3: a] :
( ( ( sK4_SX0 @ SV3 @ SV5 )
= $false )
| ( ( ~ ( sK4_SX0 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_S @ ( sK8_SY134 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV3: a,SV6: a,SV5: a] :
( ( ( sK4_SX0 @ SV5 @ SV6 )
= $false )
| ( ( sK4_SX0 @ SV3 @ SV5 )
= $false )
| ( ( sK4_SX0 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV1: a > a > $o] :
( ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV1: a > a > $o] :
( ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( ~ ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY101: a,SY102: a,SY103: a] :
( ~ ~ ( ~ ( SV1 @ SY101 @ SY102 )
| ~ ( SV1 @ SY102 @ SY103 ) )
| ( SV1 @ SY101 @ SY103 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY149: a > a > $o] :
~ ~ ( ~ ( sK1_S @ SY149 )
| ( SV7
!= ( ^ [SX5: a,SX6: a] :
! [SX7: a > a > $o] :
( ~ ~ ( ~ ! [SX8: a,SX9: a] :
( ~ ( SY149 @ SX8 @ SX9 )
| ( SX7 @ SX8 @ SX9 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SX7 @ SX8 @ SX9 )
| ~ ( SX7 @ SX9 @ SX10 ) )
| ( SX7 @ SX8 @ SX10 ) ) )
| ( SX7 @ SX5 @ SX6 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(75,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY158: a,SY159: a] :
( ~ ~ ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ SY158 )
| ~ ( SV1 @ SY158 @ SY159 ) )
| ( SV1 @ ( sK11_SY101 @ SV1 ) @ SY159 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(76,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY160: a,SY161: a] :
( ~ ~ ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ SY160 )
| ~ ( SV1 @ SY160 @ SY161 ) )
| ( SV1 @ ( sK12_SY101 @ SV1 ) @ SY161 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(77,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK7_SY101 @ SV1 ) @ ( sK9_SY146 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(78,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK9_SY146 @ SV1 ) @ ( sK10_SY148 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(79,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK1_S @ SV8 )
| ( SV7
!= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY170: a] :
( ~ ~ ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ SY170 ) )
| ( SV1 @ ( sK11_SY101 @ SV1 ) @ SY170 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(81,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY171: a] :
( ~ ~ ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
| ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ SY171 ) )
| ( SV1 @ ( sK12_SY101 @ SV1 ) @ SY171 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(82,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( ~ ( sK1_S @ SV8 )
| ( SV7
!= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) )
| ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(84,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
| ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) )
| ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(85,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( sK1_S @ SV8 )
| ( SV7
!= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(86,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(87,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK15_SY170 @ SV1 ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(88,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
| ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK16_SY171 @ SV1 ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( sK1_S @ SV8 ) )
= $true )
| ( ( SV7
!= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) ) )
= $true )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
| ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) ) )
= $true )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7
!= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) )
= $true )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
| ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( SV7
= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) ) )
= $false )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(100,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) ) )
= $false )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(101,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( ! [SV9: a] :
( ( SV7 @ SV9 )
= ( ^ [SY172: a] :
! [SY173: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY173 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY173 @ SX8 @ SX9 )
| ~ ( SY173 @ SX9 @ SX10 ) )
| ( SY173 @ SX8 @ SX10 ) ) )
| ( SY173 @ SV9 @ SY172 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(102,plain,
! [SV4: a,SV2: a,SV8: a > a > $o,SV7: a > a > $o] :
( ( ( SV7
= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(103,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK11_SY101 @ SV1 ) @ ( sK13_SY158 @ SV1 ) )
= $true )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK13_SY158 @ SV1 ) @ ( sK15_SY170 @ SV1 ) )
= $true )
| ( ( sK1_S @ ( sK8_SY134 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(105,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK12_SY101 @ SV1 ) @ ( sK14_SY160 @ SV1 ) )
= $true )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(106,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK14_SY160 @ SV1 ) @ ( sK16_SY171 @ SV1 ) )
= $true )
| ( ( sK8_SY134 @ SV1 @ ( sK5_SY98 @ SV1 ) @ ( sK6_SY119 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY26 @ sK3_SY51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(107,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY179: a] :
! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY180 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY180 @ SX8 @ SX9 )
| ~ ( SY180 @ SX9 @ SX10 ) )
| ( SY180 @ SX8 @ SX10 ) ) )
| ( SY180 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY179 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(108,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7
= ( ^ [SY162: a,SY163: a] :
! [SY164: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY164 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY164 @ SX8 @ SX9 )
| ~ ( SY164 @ SX9 @ SX10 ) )
| ( SY164 @ SX8 @ SX10 ) ) )
| ( SY164 @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(109,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ! [SV10: a] :
( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SV10 )
= ( ! [SY186: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY186 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY186 @ SX8 @ SX9 )
| ~ ( SY186 @ SX9 @ SX10 ) )
| ( SY186 @ SX8 @ SX10 ) ) )
| ( SY186 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SV10 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[107]) ).
thf(110,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY179: a] :
! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY180 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY180 @ SX8 @ SX9 )
| ~ ( SY180 @ SX9 @ SX10 ) )
| ( SY180 @ SX8 @ SX10 ) ) )
| ( SY180 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY179 ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[107]) ).
thf(111,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(112,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) )
= ( ^ [SY179: a] :
! [SY180: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY180 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY180 @ SX8 @ SX9 )
| ~ ( SY180 @ SX9 @ SX10 ) )
| ( SY180 @ SX8 @ SX10 ) ) )
| ( SY180 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ SY179 ) ) ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
| ~ ( ~ ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(114,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(115,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(116,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(117,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= ( ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(119,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
| ~ ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(120,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( ~ ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $true )
| ( ( ~ ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(122,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) )
| ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
| ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV8: a > a > $o,SV2: a,SV4: a,SV7: a > a > $o] :
( ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( ~ ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(124,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) )
| ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(125,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o] :
( ( ( ! [SY192: a > a > $o] :
( ~ ~ ( ~ ! [SY165: a,SY166: a] :
( ~ ( SV8 @ SY165 @ SY166 )
| ( SY192 @ SY165 @ SY166 ) )
| ~ ! [SX8: a,SX9: a,SX10: a] :
( ~ ~ ( ~ ( SY192 @ SX8 @ SX9 )
| ~ ( SY192 @ SX9 @ SX10 ) )
| ( SY192 @ SX8 @ SX10 ) ) )
| ( SY192 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(126,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( ~ ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) )
| ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(127,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) )
| ~ ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(128,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) )
| ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(129,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) )
| ~ ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(130,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(131,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) ) )
= $true )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( ~ ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) )
| ~ ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(133,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(134,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY198: a,SY199: a] :
( ~ ( SV8 @ SY198 @ SY199 )
| ( SV11 @ SY198 @ SY199 ) ) )
= $false )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(135,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) )
| ~ ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY208: a] :
( ~ ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ SY208 )
| ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ SY208 ) ) )
= $false )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(137,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(138,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(139,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
| ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(140,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ! [SY203: a,SY204: a] :
( ~ ( SV8 @ SY203 @ SY204 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY203 @ SY204 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(141,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY205: a,SY206: a,SY207: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY206 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY206 @ SY207 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY205 @ SY207 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(142,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(143,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(144,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV12: a,SV8: a > a > $o] :
( ( ( ! [SY209: a] :
( ~ ( SV8 @ SV12 @ SY209 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SY209 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(145,plain,
! [SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY210: a,SY211: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY210 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SY210 @ SY211 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY211 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(146,plain,
! [SV11: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o] :
( ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( ~ ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(147,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(148,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ SV12 @ SV14 )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(149,plain,
! [SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ! [SY212: a] :
( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SY212 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SY212 ) ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(150,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY200: a,SY201: a,SY202: a] :
( ~ ~ ( ~ ( SV11 @ SY200 @ SY201 )
| ~ ( SV11 @ SY201 @ SY202 ) )
| ( SV11 @ SY200 @ SY202 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(151,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY213: a,SY214: a] :
( ~ ~ ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY213 )
| ~ ( SV11 @ SY213 @ SY214 ) )
| ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY214 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(152,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( ~ ( SV8 @ SV12 @ SV14 ) )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(153,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
| ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ! [SY215: a,SY216: a] :
( ~ ~ ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY215 )
| ~ ( SV11 @ SY215 @ SY216 ) )
| ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY216 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(155,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ! [SY217: a] :
( ~ ~ ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ SY217 ) )
| ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ SY217 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(156,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV14: a,SV12: a,SV8: a > a > $o] :
( ( ( SV8 @ SV12 @ SV14 )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(157,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) ) )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(158,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ! [SY218: a] :
( ~ ~ ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ SY218 ) )
| ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ SY218 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(159,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
| ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[155]) ).
thf(160,plain,
! [SV14: a,SV12: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV12 @ SV14 )
= $true )
| ( ( SV8 @ SV12 @ SV14 )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(161,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(162,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
| ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[158]) ).
thf(163,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(164,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(165,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
| ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(166,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(167,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(168,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(169,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 ) )
= $true )
| ( ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(172,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
| ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(174,plain,
! [SV16: a,SV15: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( ~ ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 ) )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
| ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(176,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(177,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) ) )
= $false )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(178,plain,
! [SV13: a,SV16: a,SV15: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(179,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(180,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( ~ ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) ) )
= $false )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV7: a > a > $o,SV2: a,SV4: a,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(182,plain,
! [SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(183,plain,
! [SV15: a,SV16: a,SV13: a,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV16 )
= $true )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV13 @ SV15 )
= $false )
| ( ( sK19_SY192 @ SV7 @ SV2 @ SV4 @ SV8 @ SV15 @ SV16 )
= $false )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(184,plain,
! [SV8: a > a > $o,SV7: a > a > $o,SV2: a,SV4: a,SV11: a > a > $o] :
( ( ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(185,plain,
! [SV4: a,SV2: a,SV7: a > a > $o,SV8: a > a > $o,SV11: a > a > $o] :
( ( ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( ~ ( SV7 @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(186,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK22_SY200 @ SV8 @ SV4 @ SV2 @ SV7 @ SV11 ) @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(187,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $false )
| ( ( SV11 @ ( sK24_SY213 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) @ ( sK26_SY217 @ SV7 @ SV2 @ SV4 @ SV8 @ SV11 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(188,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK23_SY200 @ SV4 @ SV2 @ SV7 @ SV8 @ SV11 ) @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(189,plain,
! [SV11: a > a > $o,SV8: a > a > $o,SV4: a,SV2: a,SV7: a > a > $o] :
( ( ( SV7 @ SV2 @ SV4 )
= $false )
| ( ( sK1_S @ SV8 )
= $false )
| ( ( SV7 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV11 @ ( sK17_SV9 @ SV4 @ SV2 @ SV8 @ SV7 ) @ ( sK18_SV10 @ SV8 @ SV2 @ SV4 @ SV7 ) )
= $true )
| ( ( SV8 @ ( sK20_SY198 @ SV7 @ SV2 @ SV4 @ SV11 @ SV8 ) @ ( sK21_SY208 @ SV11 @ SV4 @ SV2 @ SV7 @ SV8 ) )
= $true )
| ( ( SV11 @ ( sK25_SY215 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) @ ( sK27_SY218 @ SV8 @ SV7 @ SV2 @ SV4 @ SV11 ) )
= $true )
| ( ( sK4_SX0 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(190,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,189,188,187,186,183,172,169,160,133,117,112,108,106,105,104,103,89,87,78,77,65,58]) ).
thf(191,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV129^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.16 % Computer : n018.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 15:43:22 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/0.70
% 2.69/0.70 No.of.Axioms: 0
% 2.69/0.70
% 2.69/0.70 Length.of.Defs: 0
% 2.69/0.70
% 2.69/0.70 Contains.Choice.Funs: false
% 2.69/0.70 .......
% 2.69/0.70
% 2.69/0.70 ********************************
% 2.69/0.70 * All subproblems solved! *
% 2.69/0.70 ********************************
% 2.69/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:190,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.69/0.70
% 2.69/0.70 %**** Beginning of derivation protocol ****
% 2.69/0.70 % SZS output start CNFRefutation
% See solution above
% 2.69/0.70
% 2.69/0.70 %**** End of derivation protocol ****
% 2.69/0.70 %**** no. of clauses in derivation: 191 ****
% 2.69/0.70 %**** clause counter: 190 ****
% 2.69/0.70
% 2.69/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:190,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------