%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV267^5 : 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 : n012.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 10:49:51 AM UTC 2026
% Result : Theorem 1.22s 0.44s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 1
% Syntax : Number of formulae : 411 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 4753 (1652 equ; 0 cnn)
% Maximal formula atoms : 7 ( 11 avg)
% Number of connectives : 9920 (2623 ~;2153 |; 61 &;5007 @)
% ( 5 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 1051 (1051 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 3 con; 0-4 aty)
% Number of variables : 1682 ( 59 ^;1594 !; 29 ?;1682 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY58,type,
sK10_SY58: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK11_SY63,type,
sK11_SY63: ( a > $o ) > a > ( a > $o ) > a > $o ).
thf(tp_sK12_SY49,type,
sK12_SY49: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK13_SY49,type,
sK13_SY49: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK14_SY65,type,
sK14_SY65: ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK15_SY67,type,
sK15_SY67: ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK16_SY69,type,
sK16_SY69: ( a > $o ) > a > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK17_SX0,type,
sK17_SX0: a > $o ).
thf(tp_sK18_SY71,type,
sK18_SY71: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK19_SY86,type,
sK19_SY86: a > a > $o ).
thf(tp_sK1_T,type,
sK1_T: ( a > $o ) > $o ).
thf(tp_sK20_SV18,type,
sK20_SV18: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK21_SY91,type,
sK21_SY91: a > a > $o ).
thf(tp_sK22_SV21,type,
sK22_SV21: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK23_SY96,type,
sK23_SY96: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK24_SV22,type,
sK24_SV22: a > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK25_SY101,type,
sK25_SY101: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK26_SY106,type,
sK26_SY106: ( a > $o ) > a > ( a > $o ) > a > $o ).
thf(tp_sK27_SY108,type,
sK27_SY108: ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK28_SY110,type,
sK28_SY110: ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK29_SY112,type,
sK29_SY112: ( a > $o ) > a > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK2_SX0,type,
sK2_SX0: a > $o ).
thf(tp_sK3_SY33,type,
sK3_SY33: a ).
thf(tp_sK4_SY28,type,
sK4_SY28: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK5_SV4,type,
sK5_SV4: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK6_SV7,type,
sK6_SV7: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK7_SY53,type,
sK7_SY53: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sK8_SV8,type,
sK8_SV8: a > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK9_SY55,type,
sK9_SY55: ( a > $o ) > ( a > $o ) > a ).
thf(1,conjecture,
! [T: ( a > $o ) > $o] :
( ! [S: a > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( ( T @ Xx )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( S @ Xx0 ) ) )
=> ( T @ Xx ) )
& ( R
= ( ^ [Xx: a] :
? [S_19: a > $o] :
( ( T @ S_19 )
& ! [Xx0: a] :
( ( S_19 @ Xx0 )
=> ( S @ Xx0 ) )
& ( S_19 @ Xx ) ) ) ) )
=> ( T @ R ) )
=> ! [S: a > $o] :
( ( T @ S )
<=> ! [Xx: a] :
( ( S @ Xx )
=> ? [R: a > $o] :
( ? [N: a > $o] :
( ( T @ N )
& ! [Xx0: a] :
( ( N @ Xx0 )
=> ( R @ Xx0 ) )
& ( N @ Xx ) )
& ! [Xx0: a] :
( ( R @ Xx0 )
=> ( S @ Xx0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cNBHD_THM1_pme) ).
thf(2,negated_conjecture,
( ( ! [T: ( a > $o ) > $o] :
( ! [S: a > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( ( T @ Xx )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( S @ Xx0 ) ) )
=> ( T @ Xx ) )
& ( R
= ( ^ [Xx: a] :
? [S_19: a > $o] :
( ( T @ S_19 )
& ! [Xx0: a] :
( ( S_19 @ Xx0 )
=> ( S @ Xx0 ) )
& ( S_19 @ Xx ) ) ) ) )
=> ( T @ R ) )
=> ! [S: a > $o] :
( ( T @ S )
<=> ! [Xx: a] :
( ( S @ Xx )
=> ? [R: a > $o] :
( ? [N: a > $o] :
( ( T @ N )
& ! [Xx0: a] :
( ( N @ Xx0 )
=> ( R @ Xx0 ) )
& ( N @ Xx ) )
& ! [Xx0: a] :
( ( R @ Xx0 )
=> ( S @ Xx0 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [T: ( a > $o ) > $o] :
( ! [S: a > $o,R: a > $o] :
( ( ! [Xx: a > $o] :
( ( ( T @ Xx )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( S @ Xx0 ) ) )
=> ( T @ Xx ) )
& ( R
= ( ^ [Xx: a] :
? [S_19: a > $o] :
( ( T @ S_19 )
& ! [Xx0: a] :
( ( S_19 @ Xx0 )
=> ( S @ Xx0 ) )
& ( S_19 @ Xx ) ) ) ) )
=> ( T @ R ) )
=> ! [S: a > $o] :
( ( T @ S )
<=> ! [Xx: a] :
( ( S @ Xx )
=> ? [R: a > $o] :
( ? [N: a > $o] :
( ( T @ N )
& ! [Xx0: a] :
( ( N @ Xx0 )
=> ( R @ Xx0 ) )
& ( N @ Xx ) )
& ! [Xx0: a] :
( ( R @ Xx0 )
=> ( S @ Xx0 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY14: a > $o,SY15: a > $o] :
( ( ! [SY16: a > $o] :
( ( ( sK1_T @ SY16 )
& ! [Xx0: a] :
( ( SY16 @ Xx0 )
=> ( SY14 @ Xx0 ) ) )
=> ( sK1_T @ SY16 ) )
& ( SY15
= ( ^ [SY18: a] :
? [SY19: a > $o] :
( ( sK1_T @ SY19 )
& ! [Xx0: a] :
( ( SY19 @ Xx0 )
=> ( SY14 @ Xx0 ) )
& ( SY19 @ SY18 ) ) ) ) )
=> ( sK1_T @ SY15 ) )
=> ! [SY21: a > $o] :
( ( sK1_T @ SY21 )
<=> ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY14: a > $o,SY15: a > $o] :
( ( ! [SY16: a > $o] :
( ( ( sK1_T @ SY16 )
& ! [Xx0: a] :
( ( SY16 @ Xx0 )
=> ( SY14 @ Xx0 ) ) )
=> ( sK1_T @ SY16 ) )
& ( SY15
= ( ^ [SY18: a] :
? [SY19: a > $o] :
( ( sK1_T @ SY19 )
& ! [Xx0: a] :
( ( SY19 @ Xx0 )
=> ( SY14 @ Xx0 ) )
& ( SY19 @ SY18 ) ) ) ) )
=> ( sK1_T @ SY15 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY21: a > $o] :
( ( sK1_T @ SY21 )
<=> ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY21: a > $o] :
( ( sK1_T @ SY21 )
=> ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(8,plain,
( ( ! [SY21: a > $o] :
( ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) )
=> ( sK1_T @ SY21 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(9,plain,
( ( ~ ! [SY21: a > $o] :
( ( sK1_T @ SY21 )
=> ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SY21: a > $o] :
( ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) )
=> ( sK1_T @ SY21 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SY14: a > $o,SY15: a > $o] :
( ( ! [SY16: a > $o] :
( ( ( sK1_T @ SY16 )
& ! [Xx0: a] :
( ( SY16 @ Xx0 )
=> ( SY14 @ Xx0 ) ) )
=> ( sK1_T @ SY16 ) )
& ( SY15
= ( ^ [SY18: a] :
? [SY19: a > $o] :
( ( sK1_T @ SY19 )
& ! [Xx0: a] :
( ( SY19 @ Xx0 )
=> ( SY14 @ Xx0 ) )
& ( SY19 @ SY18 ) ) ) ) )
=> ( sK1_T @ SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(12,plain,
( ( ~ ! [SY21: a > $o] :
( ( sK1_T @ SY21 )
=> ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( sK1_T @ SX0 )
| ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX2 @ SX4 ) ) )
| ~ ( SX3 @ SX1 ) )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ~ ( ~ ! [SX2: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SX2 )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) )
| ( sK1_T @ SX2 ) )
| ( SX1
!= ( ^ [SX2: a] :
~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX0 @ SX4 ) ) )
| ~ ( SX3 @ SX2 ) ) ) ) )
| ( sK1_T @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SX0: a > $o] :
( ~ ( sK1_T @ SX0 )
| ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX2 @ SX4 ) ) )
| ~ ( SX3 @ SX1 ) )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: a > $o] :
( ( ! [SY27: a > $o] :
( ~ ~ ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) )
| ( SY27
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) ) )
| ( sK1_T @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( sK1_T @ sK2_SX0 )
| ! [SY33: a] :
( ~ ( sK2_SX0 @ SY33 )
| ~ ! [SY34: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SY34 @ SX4 ) ) )
| ~ ( SX3 @ SY33 ) )
| ~ ! [SY37: a] :
( ~ ( SY34 @ SY37 )
| ( sK2_SX0 @ SY37 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ~ ~ ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) )
| ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) ) )
| ( sK1_T @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( sK1_T @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [SY33: a] :
( ~ ( sK2_SX0 @ SY33 )
| ~ ! [SY34: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SY34 @ SX4 ) ) )
| ~ ( SX3 @ SY33 ) )
| ~ ! [SY37: a] :
( ~ ( SY34 @ SY37 )
| ( sK2_SX0 @ SY37 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ~ ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) )
| ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( sK1_T @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK2_SX0 @ sK3_SY33 )
| ~ ! [SY43: a > $o] :
~ ~ ( ~ ~ ! [SY44: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY44 )
| ~ ! [SX4: a] :
( ~ ( SY44 @ SX4 )
| ( SY43 @ SX4 ) ) )
| ~ ( SY44 @ sK3_SY33 ) )
| ~ ! [SY37: a] :
( ~ ( SY43 @ SY37 )
| ( sK2_SX0 @ SY37 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(24,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) )
| ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) ) ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( sK2_SX0 @ sK3_SY33 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ! [SY43: a > $o] :
~ ~ ( ~ ~ ! [SY44: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY44 )
| ~ ! [SX4: a] :
( ~ ( SY44 @ SX4 )
| ( SY43 @ SX4 ) ) )
| ~ ( SY44 @ sK3_SY33 ) )
| ~ ! [SY37: a] :
( ~ ( SY43 @ SY37 )
| ( sK2_SX0 @ SY37 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) )
| ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( sK2_SX0 @ sK3_SY33 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [SY43: a > $o] :
~ ~ ( ~ ~ ! [SY44: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY44 )
| ~ ! [SX4: a] :
( ~ ( SY44 @ SX4 )
| ( SY43 @ SX4 ) ) )
| ~ ( SY44 @ sK3_SY33 ) )
| ~ ! [SY37: a] :
( ~ ( SY43 @ SY37 )
| ( sK2_SX0 @ SY37 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) ) )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: a > $o] :
( ( ~ ~ ( ~ ~ ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) )
| ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SY28: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY28 )
| ~ ! [SY29: a] :
( ~ ( SY28 @ SY29 )
| ( SV1 @ SY29 ) ) )
| ( sK1_T @ SY28 ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV3: a > $o] :
( ( ~ ( ~ ~ ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) )
| ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
| ~ ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) )
| ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(35,plain,
! [SV3: a > $o] :
( ( ~ ~ ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) )
| ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
| ~ ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(37,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
| ~ ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) ) )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV3: a > $o] :
( ( ( ~ ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) ) )
= $false )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
| ~ ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ! [SV4: a] :
( ( SV2 @ SV4 )
= ( ~ ! [SY51: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY51 )
| ~ ! [SY32: a] :
( ~ ( SY51 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY51 @ SV4 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV3: a > $o] :
( ( ( ! [SY47: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY47 )
| ~ ! [SY48: a] :
( ~ ( SY47 @ SY48 )
| ( SV3 @ SY48 ) ) )
| ~ ( SY47 @ sK3_SY33 ) ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) )
= $false )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= ( ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(49,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
| ~ ( SV5 @ sK3_SY33 ) ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ! [SY50: a] :
( ~ ( sK4_SY28 @ SV2 @ SV1 @ SY50 )
| ( SV1 @ SY50 ) ) )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
| ~ ( ~ ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= ( ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
| ~ ( SV5 @ sK3_SY33 ) ) )
= $false )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
| ( SV1 @ SV6 ) )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
| ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ! [SV7: a] :
( ( SV2 @ SV7 )
= ( ~ ! [SY56: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY56 )
| ~ ! [SY32: a] :
( ~ ( SY56 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY56 @ SV7 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK4_SY28 @ SV2 @ SV1 @ SV6 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
| ~ ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) ) )
= $true )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= ( ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(67,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV2
!= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ~ ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
| ~ ( ~ ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[66]) ).
thf(72,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= ( ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( ~ ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( sK1_T @ SV5 )
| ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( ! [SV8: a] :
( ( SV2 @ SV8 )
= ( ~ ! [SY60: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY60 )
| ~ ! [SY32: a] :
( ~ ( SY60 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY60 @ SV8 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV6: a,SV1: a > $o,SV2: a > $o] :
( ( ( SV2
= ( ^ [SY30: a] :
~ ! [SY31: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY31 )
| ~ ! [SY32: a] :
( ~ ( SY31 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY31 @ SY30 ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
| ~ ( sK7_SY53 @ SV2 @ SV1 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[74]) ).
thf(82,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( sK1_T @ SV5 ) )
= $true )
| ( ( ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(84,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(85,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
| ~ ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(86,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= ( ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(87,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
| ~ ( sK7_SY53 @ SV2 @ SV1 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SY53: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY53 )
| ~ ! [SY32: a] :
( ~ ( SY53 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY53 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ~ ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
| ~ ( ~ ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= ( ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(94,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
| ~ ( sK7_SY53 @ SV2 @ SV1 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
| ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ! [SY55: a] :
( ~ ( SV5 @ SY55 )
| ( SV3 @ SY55 ) ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( ~ ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(101,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK7_SY53 @ SV2 @ SV1 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
| ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
| ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(105,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
| ~ ( sK10_SY58 @ SV2 @ SV1 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(106,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(108,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
| ~ ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(109,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK7_SY53 @ SV2 @ SV1 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(111,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
| ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(112,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(113,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(114,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
| ~ ( sK10_SY58 @ SV2 @ SV1 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(115,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SY58: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY58 )
| ~ ! [SY32: a] :
( ~ ( SY58 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY58 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(116,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ~ ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
| ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) ) )
= $true )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( ~ ( SV5 @ sK3_SY33 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(121,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( SV5 @ sK3_SY33 )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
| ~ ( sK10_SY58 @ SV2 @ SV1 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
| ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o] :
( ( ( ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( ~ ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(127,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(128,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) ) )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( SV5 @ sK3_SY33 )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $false )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK10_SY58 @ SV2 @ SV1 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(133,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
| ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
| ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(135,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o] :
( ( ( ~ ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK1_T @ ( sK7_SY53 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(137,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ! [SY62: a] :
( ~ ( sK7_SY53 @ SV2 @ SV1 @ SY62 )
| ( SV1 @ SY62 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(138,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ( sK1_T @ SV9 )
| ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
= $true )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(139,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ! [SY49: a] :
( ~ ( SV3 @ SY49 )
| ( sK2_SX0 @ SY49 ) ) )
= $false )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK12_SY49 @ SV5 @ SV3 ) )
| ( sK2_SX0 @ ( sK12_SY49 @ SV5 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(141,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(142,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK10_SY58 @ SV2 @ SV1 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(143,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
| ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(144,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
| ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(145,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o] :
( ( ( ! [SY63: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY63 )
| ~ ! [SY32: a] :
( ~ ( SY63 @ SY32 )
| ( SV1 @ SY32 ) ) )
| ~ ( SY63 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(146,plain,
! [SV11: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK7_SY53 @ SV2 @ SV1 @ SV11 )
| ( SV1 @ SV11 ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ~ ( sK1_T @ SV9 ) )
= $true )
| ( ( ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
= $true )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK13_SY49 @ SV5 @ SV3 ) )
| ( sK2_SX0 @ ( sK13_SY49 @ SV5 @ SV3 ) ) )
= $false )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(149,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK12_SY49 @ SV5 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(150,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( sK2_SX0 @ ( sK12_SY49 @ SV5 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(151,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
| ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(152,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) ) )
= $true )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
| ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
| ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV11: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK7_SY53 @ SV2 @ SV1 @ SV11 ) )
= $true )
| ( ( SV1 @ SV11 )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
= $true )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK13_SY49 @ SV5 @ SV3 ) ) )
= $false )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(158,plain,
! [SV3: a > $o,SV5: a > $o] :
( ( ( sK2_SX0 @ ( sK13_SY49 @ SV5 @ SV3 ) )
= $false )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(159,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( SV3 @ ( sK12_SY49 @ SV5 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $false )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(160,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(161,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(162,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) ) )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(164,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(165,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
| ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV11: a,SV1: a > $o,SV2: a > $o] :
( ( ( sK7_SY53 @ SV2 @ SV1 @ SV11 )
= $false )
| ( ( SV1 @ SV11 )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(167,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( ! [SY65: a] :
( ~ ( SV9 @ SY65 )
| ( SV1 @ SY65 ) ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV5: a > $o,SV3: a > $o] :
( ( ( SV3 @ ( sK13_SY49 @ SV5 @ SV3 ) )
= $true )
| ( ( SV5 @ ( sK9_SY55 @ SV3 @ SV5 ) )
= $true )
| ( ( sK1_T @ SV5 )
= $false )
| ( ( SV5 @ sK3_SY33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(169,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( sK1_T @ ( sK10_SY58 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(170,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ! [SY66: a] :
( ~ ( sK10_SY58 @ SV2 @ SV1 @ SY66 )
| ( SV1 @ SY66 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(171,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ( sK1_T @ SV10 )
| ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
= $true )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(172,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(173,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(174,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
| ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(175,plain,
! [SV1: a > $o,SV2: a > $o,SV9: a > $o] :
( ( ( ~ ( SV9 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) )
| ( SV1 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(176,plain,
! [SV13: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK10_SY58 @ SV2 @ SV1 @ SV13 )
| ( SV1 @ SV13 ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ~ ( sK1_T @ SV10 ) )
= $true )
| ( ( ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
= $true )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(178,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
| ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(179,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) ) )
= $true )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV1: a > $o,SV2: a > $o,SV9: a > $o] :
( ( ( ~ ( SV9 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV9: a > $o,SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(182,plain,
! [SV13: a,SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( sK10_SY58 @ SV2 @ SV1 @ SV13 ) )
= $true )
| ( ( SV1 @ SV13 )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
= $true )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(185,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(186,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) ) )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV1: a > $o,SV2: a > $o,SV9: a > $o] :
( ( ( SV9 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) )
= $true )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( ~ ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(188,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( SV1 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) )
= $false )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(189,plain,
! [SV13: a,SV1: a > $o,SV2: a > $o] :
( ( ( sK10_SY58 @ SV2 @ SV1 @ SV13 )
= $false )
| ( ( SV1 @ SV13 )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(190,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( ! [SY67: a] :
( ~ ( SV10 @ SY67 )
| ( SV1 @ SY67 ) ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(191,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( sK1_T @ ( sK11_SY63 @ SV2 @ SV6 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(192,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ! [SY68: a] :
( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SY68 )
| ( SV1 @ SY68 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(193,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ( sK1_T @ SV12 )
| ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
= $true )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(194,plain,
! [SV2: a > $o,SV1: a > $o,SV9: a > $o] :
( ( ( SV9 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV9 )
= $false )
| ( ( SV9 @ ( sK14_SY65 @ SV2 @ SV1 @ SV9 ) )
= $true )
| ( ( SV2 @ ( sK5_SV4 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(195,plain,
! [SV1: a > $o,SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) )
| ( SV1 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(196,plain,
! [SV14: a,SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SV14 )
| ( SV1 @ SV14 ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(197,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ~ ( sK1_T @ SV12 ) )
= $true )
| ( ( ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
= $true )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(198,plain,
! [SV1: a > $o,SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(199,plain,
! [SV10: a > $o,SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(200,plain,
! [SV14: a,SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( ~ ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SV14 ) )
= $true )
| ( ( SV1 @ SV14 )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
= $true )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV1: a > $o,SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) )
= $true )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( ~ ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(203,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( SV1 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV14: a,SV1: a > $o,SV6: a,SV2: a > $o] :
( ( ( sK11_SY63 @ SV2 @ SV6 @ SV1 @ SV14 )
= $false )
| ( ( SV1 @ SV14 )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV2: a > $o,SV6: a,SV1: a > $o,SV12: a > $o] :
( ( ( ! [SY69: a] :
( ~ ( SV12 @ SY69 )
| ( SV1 @ SY69 ) ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV2: a > $o,SV1: a > $o,SV10: a > $o] :
( ( ( SV10 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV10 )
= $false )
| ( ( SV10 @ ( sK15_SY67 @ SV2 @ SV1 @ SV10 ) )
= $true )
| ( ( SV2 @ ( sK6_SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ ( sK4_SY28 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(207,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o,SV12: a > $o] :
( ( ( ~ ( SV12 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) )
| ( SV1 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(208,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o,SV12: a > $o] :
( ( ( ~ ( SV12 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(209,plain,
! [SV12: a > $o,SV6: a,SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(210,plain,
! [SV1: a > $o,SV6: a,SV2: a > $o,SV12: a > $o] :
( ( ( SV12 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) )
= $true )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( ~ ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(211,plain,
! [SV2: a > $o,SV1: a > $o,SV6: a,SV12: a > $o] :
( ( ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( SV1 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) )
= $false )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(212,plain,
! [SV2: a > $o,SV1: a > $o,SV6: a,SV12: a > $o] :
( ( ( SV12 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_T @ SV12 )
= $false )
| ( ( SV12 @ ( sK16_SY69 @ SV2 @ SV6 @ SV1 @ SV12 ) )
= $true )
| ( ( SV2 @ ( sK8_SV8 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( sK4_SY28 @ SV2 @ SV1 @ SV6 )
= $false )
| ( ( sK1_T @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(213,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,212,211,206,204,203,194,191,189,188,173,169,168,166,159,158,150,142,136,110,93,80,72,61,53,44,28]) ).
thf(214,plain,
( ( ! [SY14: a > $o,SY15: a > $o] :
( ( ! [SY16: a > $o] :
( ( ( sK1_T @ SY16 )
& ! [Xx0: a] :
( ( SY16 @ Xx0 )
=> ( SY14 @ Xx0 ) ) )
=> ( sK1_T @ SY16 ) )
& ( SY15
= ( ^ [SY18: a] :
? [SY19: a > $o] :
( ( sK1_T @ SY19 )
& ! [Xx0: a] :
( ( SY19 @ Xx0 )
=> ( SY14 @ Xx0 ) )
& ( SY19 @ SY18 ) ) ) ) )
=> ( sK1_T @ SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(215,plain,
( ( ~ ! [SY21: a > $o] :
( ! [SY22: a] :
( ( SY21 @ SY22 )
=> ? [SY23: a > $o] :
( ? [SY24: a > $o] :
( ( sK1_T @ SY24 )
& ! [Xx0: a] :
( ( SY24 @ Xx0 )
=> ( SY23 @ Xx0 ) )
& ( SY24 @ SY22 ) )
& ! [Xx0: a] :
( ( SY23 @ Xx0 )
=> ( SY21 @ Xx0 ) ) ) )
=> ( sK1_T @ SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(216,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ~ ( ~ ! [SX2: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SX2 )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) )
| ( sK1_T @ SX2 ) )
| ( SX1
!= ( ^ [SX2: a] :
~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX0 @ SX4 ) ) )
| ~ ( SX3 @ SX2 ) ) ) ) )
| ( sK1_T @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(217,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX2 @ SX4 ) ) )
| ~ ( SX3 @ SX1 ) )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) )
| ( sK1_T @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(218,plain,
! [SV15: a > $o] :
( ( ! [SY70: a > $o] :
( ~ ~ ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) )
| ( SY70
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) ) )
| ( sK1_T @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(219,plain,
( ( ! [SX0: a > $o] :
( ~ ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SX2 @ SX4 ) ) )
| ~ ( SX3 @ SX1 ) )
| ~ ! [SX3: a] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) )
| ( sK1_T @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(220,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ~ ~ ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) )
| ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) ) )
| ( sK1_T @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(221,plain,
( ( ~ ! [SY81: a] :
( ~ ( sK17_SX0 @ SY81 )
| ~ ! [SY82: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SY82 @ SX4 ) ) )
| ~ ( SX3 @ SY81 ) )
| ~ ! [SY85: a] :
( ~ ( SY82 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) )
| ( sK1_T @ sK17_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(222,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ~ ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) )
| ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(223,plain,
( ( ~ ! [SY81: a] :
( ~ ( sK17_SX0 @ SY81 )
| ~ ! [SY82: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SY82 @ SX4 ) ) )
| ~ ( SX3 @ SY81 ) )
| ~ ! [SY85: a] :
( ~ ( SY82 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(224,plain,
( ( sK1_T @ sK17_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(225,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) )
| ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) ) ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(226,plain,
( ( ! [SY81: a] :
( ~ ( sK17_SX0 @ SY81 )
| ~ ! [SY82: a > $o] :
~ ~ ( ~ ~ ! [SX3: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SX3 )
| ~ ! [SX4: a] :
( ~ ( SX3 @ SX4 )
| ( SY82 @ SX4 ) ) )
| ~ ( SX3 @ SY81 ) )
| ~ ! [SY85: a] :
( ~ ( SY82 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(227,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) )
| ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(228,plain,
! [SV17: a] :
( ( ~ ( sK17_SX0 @ SV17 )
| ~ ! [SY86: a > $o] :
~ ~ ( ~ ~ ! [SY87: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY87 )
| ~ ! [SX4: a] :
( ~ ( SY87 @ SX4 )
| ( SY86 @ SX4 ) ) )
| ~ ( SY87 @ SV17 ) )
| ~ ! [SY85: a] :
( ~ ( SY86 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(229,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) ) )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(230,plain,
! [SV17: a] :
( ( ( ~ ( sK17_SX0 @ SV17 ) )
= $true )
| ( ( ~ ! [SY86: a > $o] :
~ ~ ( ~ ~ ! [SY87: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY87 )
| ~ ! [SX4: a] :
( ~ ( SY87 @ SX4 )
| ( SY86 @ SX4 ) ) )
| ~ ( SY87 @ SV17 ) )
| ~ ! [SY85: a] :
( ~ ( SY86 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(231,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ! [SY71: a > $o] :
( ~ ~ ( ~ ( sK1_T @ SY71 )
| ~ ! [SY72: a] :
( ~ ( SY71 @ SY72 )
| ( SV15 @ SY72 ) ) )
| ( sK1_T @ SY71 ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(232,plain,
! [SV17: a] :
( ( ( sK17_SX0 @ SV17 )
= $false )
| ( ( ~ ! [SY86: a > $o] :
~ ~ ( ~ ~ ! [SY87: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY87 )
| ~ ! [SX4: a] :
( ~ ( SY87 @ SX4 )
| ( SY86 @ SX4 ) ) )
| ~ ( SY87 @ SV17 ) )
| ~ ! [SY85: a] :
( ~ ( SY86 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(233,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
| ~ ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) )
| ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[231]) ).
thf(234,plain,
! [SV17: a] :
( ( ( ! [SY86: a > $o] :
~ ~ ( ~ ~ ! [SY87: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY87 )
| ~ ! [SX4: a] :
( ~ ( SY87 @ SX4 )
| ( SY86 @ SX4 ) ) )
| ~ ( SY87 @ SV17 ) )
| ~ ! [SY85: a] :
( ~ ( SY86 @ SY85 )
| ( sK17_SX0 @ SY85 ) ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(235,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
| ~ ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(236,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(237,plain,
! [SV17: a] :
( ( ( ~ ~ ( ~ ~ ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) )
| ~ ! [SY93: a] :
( ~ ( sK19_SY86 @ SV17 @ SY93 )
| ( sK17_SX0 @ SY93 ) ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[234]) ).
thf(238,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
| ~ ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) ) )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(239,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(240,plain,
! [SV17: a] :
( ( ( ~ ( ~ ~ ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) )
| ~ ! [SY93: a] :
( ~ ( sK19_SY86 @ SV17 @ SY93 )
| ( sK17_SX0 @ SY93 ) ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(241,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
| ~ ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(242,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ! [SV18: a] :
( ( SV16 @ SV18 )
= ( ~ ! [SY94: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY94 )
| ~ ! [SY75: a] :
( ~ ( SY94 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY94 @ SV18 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[239]) ).
thf(243,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[239]) ).
thf(244,plain,
! [SV17: a] :
( ( ( ~ ~ ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) )
| ~ ! [SY93: a] :
( ~ ( sK19_SY86 @ SV17 @ SY93 )
| ( sK17_SX0 @ SY93 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(245,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(246,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) )
= $false )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(247,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= ( ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[242]) ).
thf(248,plain,
! [SV17: a] :
( ( ( ~ ~ ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(249,plain,
! [SV17: a] :
( ( ( ~ ! [SY93: a] :
( ~ ( sK19_SY86 @ SV17 @ SY93 )
| ( sK17_SX0 @ SY93 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(250,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(251,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ! [SY90: a] :
( ~ ( sK18_SY71 @ SV16 @ SV15 @ SY90 )
| ( SV15 @ SY90 ) ) )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(252,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
| ~ ( ~ ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[247]) ).
thf(253,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= ( ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[247]) ).
thf(254,plain,
! [SV17: a] :
( ( ( ~ ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(255,plain,
! [SV17: a] :
( ( ( ! [SY93: a] :
( ~ ( sK19_SY86 @ SV17 @ SY93 )
| ( sK17_SX0 @ SY93 ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(256,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(257,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
| ( SV15 @ SV19 ) )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(258,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(259,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(260,plain,
! [SV17: a] :
( ( ( ! [SY91: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY91 )
| ~ ! [SY92: a] :
( ~ ( SY91 @ SY92 )
| ( sK19_SY86 @ SV17 @ SY92 ) ) )
| ~ ( SY91 @ SV17 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(261,plain,
! [SV20: a,SV17: a] :
( ( ( ~ ( sK19_SY86 @ SV17 @ SV20 )
| ( sK17_SX0 @ SV20 ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(262,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ! [SV21: a] :
( ( SV16 @ SV21 )
= ( ~ ! [SY98: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY98 )
| ~ ! [SY75: a] :
( ~ ( SY98 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY98 @ SV21 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[256]) ).
thf(263,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[256]) ).
thf(264,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK18_SY71 @ SV16 @ SV15 @ SV19 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(266,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
| ~ ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(267,plain,
! [SV17: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
| ~ ( sK21_SY91 @ SV17 @ SV17 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[260]) ).
thf(268,plain,
! [SV20: a,SV17: a] :
( ( ( ~ ( sK19_SY86 @ SV17 @ SV20 ) )
= $true )
| ( ( sK17_SX0 @ SV20 )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(269,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= ( ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[262]) ).
thf(270,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( SV16
!= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(271,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(272,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(273,plain,
! [SV17: a] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
| ~ ( sK21_SY91 @ SV17 @ SV17 ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(274,plain,
! [SV20: a,SV17: a] :
( ( ( sK19_SY86 @ SV17 @ SV20 )
= $false )
| ( ( sK17_SX0 @ SV20 )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(275,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
| ~ ( ~ ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[269]) ).
thf(276,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= ( ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[269]) ).
thf(277,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( ~ ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(280,plain,
! [SV17: a] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
| ~ ( sK21_SY91 @ SV17 @ SV17 ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(281,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(282,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(283,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( ! [SV22: a] :
( ( SV16 @ SV22 )
= ( ~ ! [SY103: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY103 )
| ~ ! [SY75: a] :
( ~ ( SY103 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY103 @ SV22 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[277]) ).
thf(284,plain,
! [SV19: a,SV15: a > $o,SV16: a > $o] :
( ( ( SV16
= ( ^ [SY73: a] :
~ ! [SY74: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY74 )
| ~ ! [SY75: a] :
( ~ ( SY74 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY74 @ SY73 ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[277]) ).
thf(285,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
| ~ ( sK23_SY96 @ SV16 @ SV15 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(286,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(287,plain,
! [SV17: a] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(288,plain,
! [SV17: a] :
( ( ( ~ ( sK21_SY91 @ SV17 @ SV17 ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(289,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(290,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
| ~ ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(291,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= ( ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[283]) ).
thf(292,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
| ~ ( sK23_SY96 @ SV16 @ SV15 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(293,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ! [SY96: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY96 )
| ~ ! [SY75: a] :
( ~ ( SY96 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY96 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(294,plain,
! [SV17: a] :
( ( ( ~ ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(295,plain,
! [SV17: a] :
( ( ( sK21_SY91 @ SV17 @ SV17 )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(296,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(297,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(298,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
| ~ ( ~ ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[291]) ).
thf(299,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= ( ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[291]) ).
thf(300,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
| ~ ( sK23_SY96 @ SV16 @ SV15 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
| ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(302,plain,
! [SV17: a] :
( ( ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) )
| ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(303,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(304,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( ~ ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(305,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(306,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(308,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK23_SY96 @ SV16 @ SV15 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(309,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
| ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(310,plain,
! [SV17: a] :
( ( ( ~ ( sK1_T @ ( sK21_SY91 @ SV17 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(311,plain,
! [SV17: a] :
( ( ( ~ ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
= $false )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(312,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
| ~ ( sK25_SY101 @ SV16 @ SV15 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(313,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(314,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(315,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
| ~ ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(316,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(317,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK23_SY96 @ SV16 @ SV15 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(318,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
| ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(319,plain,
! [SV17: a] :
( ( ( sK1_T @ ( sK21_SY91 @ SV17 ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(320,plain,
! [SV17: a] :
( ( ( ! [SY100: a] :
( ~ ( sK21_SY91 @ SV17 @ SY100 )
| ( sK19_SY86 @ SV17 @ SY100 ) ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(321,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
| ~ ( sK25_SY101 @ SV16 @ SV15 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(322,plain,
! [SV16: a > $o,SV15: a > $o] :
( ( ( ! [SY101: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY101 )
| ~ ! [SY75: a] :
( ~ ( SY101 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY101 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(323,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(324,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(325,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
| ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(326,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) ) )
= $true )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(327,plain,
! [SV24: a,SV17: a] :
( ( ( ~ ( sK21_SY91 @ SV17 @ SV24 )
| ( sK19_SY86 @ SV17 @ SV24 ) )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(328,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
| ~ ( sK25_SY101 @ SV16 @ SV15 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(329,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
| ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o] :
( ( ( ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( ~ ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(332,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(333,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(334,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) ) )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(335,plain,
! [SV24: a,SV17: a] :
( ( ( ~ ( sK21_SY91 @ SV17 @ SV24 ) )
= $true )
| ( ( sK19_SY86 @ SV17 @ SV24 )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(336,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(337,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK25_SY101 @ SV16 @ SV15 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(338,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
| ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(339,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
| ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[330]) ).
thf(340,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o] :
( ( ( ~ ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(341,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK1_T @ ( sK23_SY96 @ SV16 @ SV15 ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(342,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ! [SY105: a] :
( ~ ( sK23_SY96 @ SV16 @ SV15 @ SY105 )
| ( SV15 @ SY105 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(343,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ( sK1_T @ SV23 )
| ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
= $true )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(344,plain,
! [SV24: a,SV17: a] :
( ( ( sK21_SY91 @ SV17 @ SV24 )
= $false )
| ( ( sK19_SY86 @ SV17 @ SV24 )
= $true )
| ( ( sK17_SX0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(345,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(346,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK25_SY101 @ SV16 @ SV15 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(347,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
| ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(348,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
| ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(349,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o] :
( ( ( ! [SY106: a > $o] :
~ ~ ( ~ ~ ( ~ ( sK1_T @ SY106 )
| ~ ! [SY75: a] :
( ~ ( SY106 @ SY75 )
| ( SV15 @ SY75 ) ) )
| ~ ( SY106 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(350,plain,
! [SV26: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK23_SY96 @ SV16 @ SV15 @ SV26 )
| ( SV15 @ SV26 ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(351,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ~ ( sK1_T @ SV23 ) )
= $true )
| ( ( ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
= $true )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(352,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
| ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(353,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) ) )
= $true )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(354,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
| ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(355,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
| ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(356,plain,
! [SV26: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK23_SY96 @ SV16 @ SV15 @ SV26 ) )
= $true )
| ( ( SV15 @ SV26 )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(357,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
= $true )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(358,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(359,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ~ ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(360,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) ) )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(361,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(362,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(363,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
| ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(364,plain,
! [SV26: a,SV15: a > $o,SV16: a > $o] :
( ( ( sK23_SY96 @ SV16 @ SV15 @ SV26 )
= $false )
| ( ( SV15 @ SV26 )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(365,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( ! [SY108: a] :
( ~ ( SV23 @ SY108 )
| ( SV15 @ SY108 ) ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(366,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( sK1_T @ ( sK25_SY101 @ SV16 @ SV15 ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(367,plain,
! [SV15: a > $o,SV16: a > $o] :
( ( ( ! [SY109: a] :
( ~ ( sK25_SY101 @ SV16 @ SV15 @ SY109 )
| ( SV15 @ SY109 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(368,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ( sK1_T @ SV25 )
| ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
= $true )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(369,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(370,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(371,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
| ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(372,plain,
! [SV15: a > $o,SV16: a > $o,SV23: a > $o] :
( ( ( ~ ( SV23 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) )
| ( SV15 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(373,plain,
! [SV28: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK25_SY101 @ SV16 @ SV15 @ SV28 )
| ( SV15 @ SV28 ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(374,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ~ ( sK1_T @ SV25 ) )
= $true )
| ( ( ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
= $true )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(375,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
| ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(376,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ~ ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) ) )
= $true )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(377,plain,
! [SV15: a > $o,SV16: a > $o,SV23: a > $o] :
( ( ( ~ ( SV23 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(378,plain,
! [SV23: a > $o,SV16: a > $o,SV15: a > $o] :
( ( ( SV15 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(379,plain,
! [SV28: a,SV15: a > $o,SV16: a > $o] :
( ( ( ~ ( sK25_SY101 @ SV16 @ SV15 @ SV28 ) )
= $true )
| ( ( SV15 @ SV28 )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(380,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
= $true )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(381,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(382,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(383,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) ) )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(384,plain,
! [SV15: a > $o,SV16: a > $o,SV23: a > $o] :
( ( ( SV23 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) )
= $true )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( ~ ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(385,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( SV15 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) )
= $false )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(386,plain,
! [SV28: a,SV15: a > $o,SV16: a > $o] :
( ( ( sK25_SY101 @ SV16 @ SV15 @ SV28 )
= $false )
| ( ( SV15 @ SV28 )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(387,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( ! [SY110: a] :
( ~ ( SV25 @ SY110 )
| ( SV15 @ SY110 ) ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(388,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( sK1_T @ ( sK26_SY106 @ SV16 @ SV19 @ SV15 ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(389,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ! [SY111: a] :
( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SY111 )
| ( SV15 @ SY111 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(390,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ( sK1_T @ SV27 )
| ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
= $true )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(391,plain,
! [SV16: a > $o,SV15: a > $o,SV23: a > $o] :
( ( ( SV23 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV23 )
= $false )
| ( ( SV23 @ ( sK27_SY108 @ SV16 @ SV15 @ SV23 ) )
= $true )
| ( ( SV16 @ ( sK20_SV18 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(392,plain,
! [SV15: a > $o,SV16: a > $o,SV25: a > $o] :
( ( ( ~ ( SV25 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) )
| ( SV15 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[387]) ).
thf(393,plain,
! [SV29: a,SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SV29 )
| ( SV15 @ SV29 ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(394,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ~ ( sK1_T @ SV27 ) )
= $true )
| ( ( ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
= $true )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(395,plain,
! [SV15: a > $o,SV16: a > $o,SV25: a > $o] :
( ( ( ~ ( SV25 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(396,plain,
! [SV25: a > $o,SV16: a > $o,SV15: a > $o] :
( ( ( SV15 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(397,plain,
! [SV29: a,SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( ~ ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SV29 ) )
= $true )
| ( ( SV15 @ SV29 )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(398,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
= $true )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(399,plain,
! [SV15: a > $o,SV16: a > $o,SV25: a > $o] :
( ( ( SV25 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) )
= $true )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(400,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( SV15 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) )
= $false )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(401,plain,
! [SV29: a,SV15: a > $o,SV19: a,SV16: a > $o] :
( ( ( sK26_SY106 @ SV16 @ SV19 @ SV15 @ SV29 )
= $false )
| ( ( SV15 @ SV29 )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $true )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(402,plain,
! [SV16: a > $o,SV19: a,SV15: a > $o,SV27: a > $o] :
( ( ( ! [SY112: a] :
( ~ ( SV27 @ SY112 )
| ( SV15 @ SY112 ) ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(403,plain,
! [SV16: a > $o,SV15: a > $o,SV25: a > $o] :
( ( ( SV25 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV25 )
= $false )
| ( ( SV25 @ ( sK28_SY110 @ SV16 @ SV15 @ SV25 ) )
= $true )
| ( ( SV16 @ ( sK22_SV21 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ ( sK18_SY71 @ SV16 @ SV15 ) )
= $true )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(404,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o,SV27: a > $o] :
( ( ( ~ ( SV27 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) )
| ( SV15 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(405,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o,SV27: a > $o] :
( ( ( ~ ( SV27 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(406,plain,
! [SV27: a > $o,SV19: a,SV16: a > $o,SV15: a > $o] :
( ( ( SV15 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(407,plain,
! [SV15: a > $o,SV19: a,SV16: a > $o,SV27: a > $o] :
( ( ( SV27 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) )
= $true )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( ~ ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(408,plain,
! [SV16: a > $o,SV15: a > $o,SV19: a,SV27: a > $o] :
( ( ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( SV15 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) )
= $false )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(409,plain,
! [SV16: a > $o,SV15: a > $o,SV19: a,SV27: a > $o] :
( ( ( SV27 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( sK1_T @ SV27 )
= $false )
| ( ( SV27 @ ( sK29_SY112 @ SV16 @ SV19 @ SV15 @ SV27 ) )
= $true )
| ( ( SV16 @ ( sK24_SV22 @ SV19 @ SV15 @ SV16 ) )
= $false )
| ( ( SV15 @ SV19 )
= $true )
| ( ( sK18_SY71 @ SV16 @ SV15 @ SV19 )
= $false )
| ( ( sK1_T @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(410,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[224,409,408,403,401,400,391,388,386,385,370,366,364,346,344,341,319,317,299,295,284,276,274,263,253,243]) ).
thf(411,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[410,213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV267^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 15:44:26 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/0.44
% 1.22/0.44 No.of.Axioms: 0
% 1.22/0.44
% 1.22/0.44 Length.of.Defs: 0
% 1.22/0.44
% 1.22/0.44 Contains.Choice.Funs: false
% 1.22/0.44 ..........
% 1.22/0.44
% 1.22/0.44 ********************************
% 1.22/0.44 * All subproblems solved! *
% 1.22/0.44 ********************************
% 1.22/0.44 % 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:410,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.22/0.44
% 1.22/0.44 %**** Beginning of derivation protocol ****
% 1.22/0.44 % SZS output start CNFRefutation
% See solution above
% 1.22/0.44
% 1.22/0.44 %**** End of derivation protocol ****
% 1.22/0.44 %**** no. of clauses in derivation: 411 ****
% 1.22/0.44 %**** clause counter: 410 ****
% 1.22/0.44
% 1.22/0.44 % 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:410,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------