%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET804+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 10:41:07 AM UTC 2026
% Result : Theorem 2.74s 0.76s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 511 ( 75 unt; 0 typ; 0 def)
% Number of atoms : 6420 (1828 equ; 0 cnn)
% Maximal formula atoms : 14 ( 12 avg)
% Number of connectives : 16073 (3078 ~;2480 |; 52 &;10414 @)
% ( 12 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 7 con; 0-4 aty)
% Number of variables : 1672 ( 0 ^;1664 !; 8 ?;1672 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apply,type,
apply: $i > $i > $i > $o ).
thf(tp_greatest,type,
greatest: $i > $i > $i > $o ).
thf(tp_greatest_lower_bound,type,
greatest_lower_bound: $i > $i > $i > $i > $o ).
thf(tp_least,type,
least: $i > $i > $i > $o ).
thf(tp_least_upper_bound,type,
least_upper_bound: $i > $i > $i > $i > $o ).
thf(tp_lower_bound,type,
lower_bound: $i > $i > $i > $o ).
thf(tp_max,type,
max: $i > $i > $i > $o ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_min,type,
min: $i > $i > $i > $o ).
thf(tp_order,type,
order: $i > $i > $o ).
thf(tp_sK10_SY74,type,
sK10_SY74: $i > $i > $i ).
thf(tp_sK11_SY75,type,
sK11_SY75: $i > $i > $i ).
thf(tp_sK12_SY75,type,
sK12_SY75: $i > $i > $i ).
thf(tp_sK13_SY93,type,
sK13_SY93: $i > $i > $i ).
thf(tp_sK14_SY94,type,
sK14_SY94: $i > $i > $i ).
thf(tp_sK15_SY77,type,
sK15_SY77: $i > $i > $i ).
thf(tp_sK16_SY77,type,
sK16_SY77: $i > $i > $i ).
thf(tp_sK17_SY95,type,
sK17_SY95: $i > $i > $i ).
thf(tp_sK18_SY97,type,
sK18_SY97: $i > $i > $i ).
thf(tp_sK19_SY99,type,
sK19_SY99: $i > $i > $i ).
thf(tp_sK1_R,type,
sK1_R: $i ).
thf(tp_sK20_SY100,type,
sK20_SY100: $i > $i > $i ).
thf(tp_sK21_SY77,type,
sK21_SY77: $i > $i > $i ).
thf(tp_sK22_SY77,type,
sK22_SY77: $i > $i > $i ).
thf(tp_sK23_SY77,type,
sK23_SY77: $i > $i > $i ).
thf(tp_sK24_SY77,type,
sK24_SY77: $i > $i > $i ).
thf(tp_sK25_SY101,type,
sK25_SY101: $i > $i > $i ).
thf(tp_sK26_SY103,type,
sK26_SY103: $i > $i > $i ).
thf(tp_sK27_SY77,type,
sK27_SY77: $i > $i > $i ).
thf(tp_sK28_SY77,type,
sK28_SY77: $i > $i > $i ).
thf(tp_sK29_SY105,type,
sK29_SY105: $i > $i > $i ).
thf(tp_sK2_SY25,type,
sK2_SY25: $i ).
thf(tp_sK30_SY107,type,
sK30_SY107: $i > $i > $i ).
thf(tp_sK31_SY77,type,
sK31_SY77: $i > $i > $i ).
thf(tp_sK32_SY77,type,
sK32_SY77: $i > $i > $i ).
thf(tp_sK33_SY109,type,
sK33_SY109: $i > $i > $i ).
thf(tp_sK34_SY110,type,
sK34_SY110: $i > $i > $i ).
thf(tp_sK35_SY111,type,
sK35_SY111: $i > $i > $i ).
thf(tp_sK36_SY113,type,
sK36_SY113: $i > $i > $i ).
thf(tp_sK37_SY115,type,
sK37_SY115: $i > $i > $i ).
thf(tp_sK38_SY116,type,
sK38_SY116: $i > $i > $i ).
thf(tp_sK39_SY117,type,
sK39_SY117: $i > $i > $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY119,type,
sK40_SY119: $i > $i > $i ).
thf(tp_sK41_SY121,type,
sK41_SY121: $i > $i > $i ).
thf(tp_sK42_SY122,type,
sK42_SY122: $i > $i > $i ).
thf(tp_sK43_SY123,type,
sK43_SY123: $i > $i > $i ).
thf(tp_sK44_SY124,type,
sK44_SY124: $i > $i > $i ).
thf(tp_sK4_SY80,type,
sK4_SY80: $i ).
thf(tp_sK5_SX2,type,
sK5_SX2: $i ).
thf(tp_sK6_SY63,type,
sK6_SY63: $i > $i > $i ).
thf(tp_sK7_SY83,type,
sK7_SY83: $i > $i > $i > $i ).
thf(tp_sK8_SY90,type,
sK8_SY90: $i > $i > $i ).
thf(tp_sK9_SY85,type,
sK9_SY85: $i > $i > $i > $i ).
thf(tp_total_order,type,
total_order: $i > $i > $o ).
thf(tp_upper_bound,type,
upper_bound: $i > $i > $i > $o ).
thf(3,axiom,
! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',min) ).
thf(5,axiom,
! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',least) ).
thf(9,axiom,
! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_order) ).
thf(10,axiom,
! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
thf(11,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [M1: $i,M2: $i] :
( ( ( min @ M1 @ R @ E )
& ( min @ M2 @ R @ E )
& ( M1 != M2 ) )
=> ~ ? [M: $i] : ( least @ M @ R @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
thf(12,negated_conjecture,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [M1: $i,M2: $i] :
( ( ( min @ M1 @ R @ E )
& ( min @ M2 @ R @ E )
& ( M1 != M2 ) )
=> ~ ? [M: $i] : ( least @ M @ R @ E ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [M1: $i,M2: $i] :
( ( ( min @ M1 @ R @ E )
& ( min @ M2 @ R @ E )
& ( M1 != M2 ) )
=> ~ ? [M: $i] : ( least @ M @ R @ E ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(18,plain,
( ( ! [SY25: $i] :
( ( order @ sK1_R @ SY25 )
=> ! [SY26: $i,SY27: $i] :
( ( ( min @ SY26 @ sK1_R @ SY25 )
& ( min @ SY27 @ sK1_R @ SY25 )
& ( SY26 != SY27 ) )
=> ~ ? [SY28: $i] : ( least @ SY28 @ sK1_R @ SY25 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(19,plain,
( ( ( order @ sK1_R @ sK2_SY25 )
=> ! [SY29: $i,SY30: $i] :
( ( ( min @ SY29 @ sK1_R @ sK2_SY25 )
& ( min @ SY30 @ sK1_R @ sK2_SY25 )
& ( SY29 != SY30 ) )
=> ~ ? [SY31: $i] : ( least @ SY31 @ sK1_R @ sK2_SY25 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
( ( order @ sK1_R @ sK2_SY25 )
= $true ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [SY29: $i,SY30: $i] :
( ( ( min @ SY29 @ sK1_R @ sK2_SY25 )
& ( min @ SY30 @ sK1_R @ sK2_SY25 )
& ( SY29 != SY30 ) )
=> ~ ? [SY31: $i] : ( least @ SY31 @ sK1_R @ sK2_SY25 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ! [SY29: $i,SY30: $i] :
( ( ( min @ SY29 @ sK1_R @ sK2_SY25 )
& ( min @ SY30 @ sK1_R @ sK2_SY25 )
& ( SY29 != SY30 ) )
=> ~ ? [SY31: $i] : ( least @ SY31 @ sK1_R @ sK2_SY25 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(24,plain,
( ( ! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(26,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(27,plain,
( ( order @ sK1_R @ sK2_SY25 )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ~ ! [SY29: $i,SY30: $i] :
( ( ( min @ SY29 @ sK1_R @ sK2_SY25 )
& ( min @ SY30 @ sK1_R @ sK2_SY25 )
& ( SY29 != SY30 ) )
=> ~ ? [SY31: $i] : ( least @ SY31 @ sK1_R @ sK2_SY25 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( min @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ( min @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(30,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( total_order @ SX0 @ SX1 )
| ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ( total_order @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(31,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( least @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) )
| ( least @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ( member @ SX4 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) )
| ( apply @ SX0 @ SX2 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ( member @ SX4 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ( order @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(33,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( min @ SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ SX1 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(34,plain,
! [SV1: $i] :
( ( ! [SY32: $i,SY33: $i] :
~ ( ~ ( ~ ( min @ SY33 @ SV1 @ SY32 )
| ~ ( ~ ( member @ SY33 @ SY32 )
| ~ ! [SY34: $i] :
( ~ ~ ( ~ ( member @ SY34 @ SY32 )
| ~ ( apply @ SV1 @ SY34 @ SY33 ) )
| ( SY33 = SY34 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY33 @ SY32 )
| ~ ! [SY35: $i] :
( ~ ~ ( ~ ( member @ SY35 @ SY32 )
| ~ ( apply @ SV1 @ SY35 @ SY33 ) )
| ( SY33 = SY35 ) ) )
| ( min @ SY33 @ SV1 @ SY32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV2: $i] :
( ( ! [SY36: $i] :
~ ( ~ ( ~ ( total_order @ SV2 @ SY36 )
| ~ ( ~ ( order @ SV2 @ SY36 )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SY36 )
| ~ ( member @ SY38 @ SY36 ) )
| ( apply @ SV2 @ SY37 @ SY38 )
| ( apply @ SV2 @ SY38 @ SY37 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV2 @ SY36 )
| ~ ! [SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( member @ SY39 @ SY36 )
| ~ ( member @ SY40 @ SY36 ) )
| ( apply @ SV2 @ SY39 @ SY40 )
| ( apply @ SV2 @ SY40 @ SY39 ) ) )
| ( total_order @ SV2 @ SY36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV3: $i] :
( ( ! [SY41: $i,SY42: $i] :
~ ( ~ ( ~ ( least @ SY42 @ SV3 @ SY41 )
| ~ ( ~ ( member @ SY42 @ SY41 )
| ~ ! [SY43: $i] :
( ~ ( member @ SY43 @ SY41 )
| ( apply @ SV3 @ SY42 @ SY43 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY42 @ SY41 )
| ~ ! [SY44: $i] :
( ~ ( member @ SY44 @ SY41 )
| ( apply @ SV3 @ SY42 @ SY44 ) ) )
| ( least @ SY42 @ SV3 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV4: $i] :
( ( ! [SY45: $i] :
~ ( ~ ( ~ ( order @ SV4 @ SY45 )
| ~ ( ~ ~ ( ~ ! [SY46: $i] :
( ~ ( member @ SY46 @ SY45 )
| ( apply @ SV4 @ SY46 @ SY46 ) )
| ~ ! [SY47: $i,SY48: $i] :
( ~ ~ ( ~ ( member @ SY47 @ SY45 )
| ~ ( member @ SY48 @ SY45 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY47 @ SY48 )
| ~ ( apply @ SV4 @ SY48 @ SY47 ) )
| ( SY47 = SY48 ) ) )
| ~ ! [SY49: $i,SY50: $i,SY51: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY49 @ SY45 )
| ~ ( member @ SY50 @ SY45 ) )
| ~ ( member @ SY51 @ SY45 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY49 @ SY50 )
| ~ ( apply @ SV4 @ SY50 @ SY51 ) )
| ( apply @ SV4 @ SY49 @ SY51 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( member @ SY52 @ SY45 )
| ( apply @ SV4 @ SY52 @ SY52 ) )
| ~ ! [SY53: $i,SY54: $i] :
( ~ ~ ( ~ ( member @ SY53 @ SY45 )
| ~ ( member @ SY54 @ SY45 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY53 @ SY54 )
| ~ ( apply @ SV4 @ SY54 @ SY53 ) )
| ( SY53 = SY54 ) ) )
| ~ ! [SY55: $i,SY56: $i,SY57: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY55 @ SY45 )
| ~ ( member @ SY56 @ SY45 ) )
| ~ ( member @ SY57 @ SY45 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY55 @ SY56 )
| ~ ( apply @ SV4 @ SY56 @ SY57 ) )
| ( apply @ SV4 @ SY55 @ SY57 ) ) )
| ( order @ SV4 @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( min @ SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ SX1 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: $i,SV1: $i] :
( ( ! [SY58: $i] :
~ ( ~ ( ~ ( min @ SY58 @ SV1 @ SV5 )
| ~ ( ~ ( member @ SY58 @ SV5 )
| ~ ! [SY59: $i] :
( ~ ~ ( ~ ( member @ SY59 @ SV5 )
| ~ ( apply @ SV1 @ SY59 @ SY58 ) )
| ( SY58 = SY59 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY58 @ SV5 )
| ~ ! [SY60: $i] :
( ~ ~ ( ~ ( member @ SY60 @ SV5 )
| ~ ( apply @ SV1 @ SY60 @ SY58 ) )
| ( SY58 = SY60 ) ) )
| ( min @ SY58 @ SV1 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( total_order @ SV2 @ SV6 )
| ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
| ( total_order @ SV2 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV7: $i,SV3: $i] :
( ( ! [SY65: $i] :
~ ( ~ ( ~ ( least @ SY65 @ SV3 @ SV7 )
| ~ ( ~ ( member @ SY65 @ SV7 )
| ~ ! [SY66: $i] :
( ~ ( member @ SY66 @ SV7 )
| ( apply @ SV3 @ SY65 @ SY66 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY65 @ SV7 )
| ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV7 )
| ( apply @ SV3 @ SY65 @ SY67 ) ) )
| ( least @ SY65 @ SV3 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( order @ SV4 @ SV8 )
| ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
| ( order @ SV4 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ! [SY80: $i] :
( ~ ~ ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ SY80 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( sK3_SX0 != SY80 ) ) )
| ~ ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(44,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( min @ SV9 @ SV1 @ SV5 )
| ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
| ( min @ SV9 @ SV1 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( ~ ( total_order @ SV2 @ SV6 )
| ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
| ( total_order @ SV2 @ SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( least @ SV10 @ SV3 @ SV7 )
| ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
| ( least @ SV10 @ SV3 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( ~ ( order @ SV4 @ SV8 )
| ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
| ( order @ SV4 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ ~ ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( sK3_SX0 != sK4_SY80 ) ) )
| ~ ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(49,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ~ ( ~ ( min @ SV9 @ SV1 @ SV5 )
| ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
| ( min @ SV9 @ SV1 @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( ~ ( total_order @ SV2 @ SV6 )
| ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
| ( total_order @ SV2 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ~ ( ~ ( least @ SV10 @ SV3 @ SV7 )
| ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
| ( least @ SV10 @ SV3 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( ~ ( order @ SV4 @ SV8 )
| ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV4: $i,SV8: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
| ( order @ SV4 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ~ ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( sK3_SX0 != sK4_SY80 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(56,plain,
( ( ~ ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(57,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ~ ( ~ ( min @ SV9 @ SV1 @ SV5 )
| ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(58,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
| ( min @ SV9 @ SV1 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(59,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( total_order @ SV2 @ SV6 )
| ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(60,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
| ( total_order @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(61,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ~ ( ~ ( least @ SV10 @ SV3 @ SV7 )
| ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
| ( least @ SV10 @ SV3 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(63,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( order @ SV4 @ SV8 )
| ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(64,plain,
! [SV4: $i,SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
| ( order @ SV4 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(65,plain,
( ( ~ ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( sK3_SX0 != sK4_SY80 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(67,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ~ ( min @ SV9 @ SV1 @ SV5 )
| ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(68,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ~ ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
| ( min @ SV9 @ SV1 @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(69,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( total_order @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ~ ( least @ SV10 @ SV3 @ SV7 )
| ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(72,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ~ ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
| ( least @ SV10 @ SV3 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(73,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( order @ SV4 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
( ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
| ~ ( ( sK3_SX0 != sK4_SY80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(76,plain,
( ( ! [SX2: $i] :
~ ( least @ SX2 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ( min @ SV9 @ SV1 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV6: $i,SV2: $i] :
( ( ( total_order @ SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) ) )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( least @ SV10 @ SV3 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV8: $i,SV4: $i] :
( ( ( order @ SV4 @ SV8 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
( ( ~ ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(86,plain,
( ( ~ ( ( sK3_SX0 != sK4_SY80 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( ~ ( least @ sK5_SX2 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(88,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( min @ SV9 @ SV1 @ SV5 )
= $false )
| ( ( ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) ) )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( order @ SV2 @ SV6 )
| ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( least @ SV10 @ SV3 @ SV7 )
= $false )
| ( ( ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) ) )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
| ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
| ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(96,plain,
( ( ~ ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(97,plain,
( ( sK3_SX0 != sK4_SY80 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(98,plain,
( ( least @ sK5_SX2 @ sK1_R @ sK2_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(99,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV5 )
| ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(101,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( order @ SV2 @ SV6 ) )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(103,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( order @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV7 )
| ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(106,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(108,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(109,plain,
( ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
| ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(110,plain,
( ( sK3_SX0 = sK4_SY80 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV5 ) )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(112,plain,
! [SV9: $i,SV1: $i,SV5: $i] :
( ( ( ~ ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV5 ) )
= $true )
| ( ( ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV6: $i,SV2: $i] :
( ( ( order @ SV2 @ SV6 )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(115,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( member @ SY61 @ SV6 )
| ~ ( member @ SY62 @ SV6 ) )
| ( apply @ SV2 @ SY61 @ SY62 )
| ( apply @ SV2 @ SY62 @ SY61 ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(116,plain,
! [SV6: $i,SV2: $i] :
( ( ( order @ SV2 @ SV6 )
= $false )
| ( ( ~ ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV7 ) )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(118,plain,
! [SV10: $i,SV3: $i,SV7: $i] :
( ( ( ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(119,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV7 ) )
= $true )
| ( ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(121,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY71 @ SV8 )
| ~ ( member @ SY72 @ SV8 ) )
| ~ ( member @ SY73 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY71 @ SY72 )
| ~ ( apply @ SV4 @ SY72 @ SY73 ) )
| ( apply @ SV4 @ SY71 @ SY73 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(122,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(123,plain,
( ( ~ ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(124,plain,
( ( ~ ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(125,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( member @ SV9 @ SV5 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV9: $i,SV1: $i,SV5: $i] :
( ( ( ! [SY82: $i] :
( ~ ~ ( ~ ( member @ SY82 @ SV5 )
| ~ ( apply @ SV1 @ SY82 @ SV9 ) )
| ( SV9 = SY82 ) ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(127,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( member @ SV9 @ SV5 )
= $false )
| ( ( ~ ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(128,plain,
! [SV2: $i,SV6: $i,SV11: $i] :
( ( ( ! [SY87: $i] :
( ~ ~ ( ~ ( member @ SV11 @ SV6 )
| ~ ( member @ SY87 @ SV6 ) )
| ( apply @ SV2 @ SV11 @ SY87 )
| ( apply @ SV2 @ SY87 @ SV11 ) ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( member @ SY63 @ SV6 )
| ~ ( member @ SY64 @ SV6 ) )
| ( apply @ SV2 @ SY63 @ SY64 )
| ( apply @ SV2 @ SY64 @ SY63 ) ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( member @ SV10 @ SV7 )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV10: $i,SV3: $i,SV7: $i] :
( ( ( ! [SY84: $i] :
( ~ ( member @ SY84 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY84 ) ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(132,plain,
! [SV3: $i,SV7: $i,SV10: $i] :
( ( ( member @ SV10 @ SV7 )
= $false )
| ( ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV4: $i,SV8: $i,SV12: $i] :
( ( ( ! [SY88: $i,SY89: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SY88 @ SV8 ) )
| ~ ( member @ SY89 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SY88 )
| ~ ( apply @ SV4 @ SY88 @ SY89 ) )
| ( apply @ SV4 @ SV12 @ SY89 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) )
| ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(136,plain,
( ( min @ sK3_SX0 @ sK1_R @ sK2_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(137,plain,
( ( min @ sK4_SY80 @ sK1_R @ sK2_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(138,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( member @ SV13 @ SV5 )
| ~ ( apply @ SV1 @ SV13 @ SV9 ) )
| ( SV9 = SV13 ) )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(139,plain,
! [SV9: $i,SV1: $i,SV5: $i] :
( ( ( ! [SY83: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SV5 )
| ~ ( apply @ SV1 @ SY83 @ SV9 ) )
| ( SV9 = SY83 ) ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(140,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( member @ SV11 @ SV6 )
| ~ ( member @ SV14 @ SV6 ) )
| ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(141,plain,
! [SV6: $i,SV2: $i] :
( ( ( ! [SY90: $i] :
( ~ ~ ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
| ~ ( member @ SY90 @ SV6 ) )
| ( apply @ SV2 @ ( sK6_SY63 @ SV2 @ SV6 ) @ SY90 )
| ( apply @ SV2 @ SY90 @ ( sK6_SY63 @ SV2 @ SV6 ) ) ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(142,plain,
! [SV10: $i,SV3: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( member @ SV15 @ SV7 )
| ( apply @ SV3 @ SV10 @ SV15 ) )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV10: $i,SV3: $i,SV7: $i] :
( ( ( ! [SY85: $i] :
( ~ ( member @ SY85 @ SV7 )
| ( apply @ SV3 @ SV10 @ SY85 ) ) )
= $false )
| ( ( member @ SV10 @ SV7 )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(145,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(146,plain,
! [SV4: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ! [SY91: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
| ~ ( member @ SY91 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SY91 ) )
| ( apply @ SV4 @ SV12 @ SY91 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(147,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) ) )
= $true )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(148,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( member @ SV13 @ SV5 )
| ~ ( apply @ SV1 @ SV13 @ SV9 ) ) )
= $true )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(149,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 )
| ~ ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 ) )
| ( SV9
= ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(150,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( member @ SV11 @ SV6 )
| ~ ( member @ SV14 @ SV6 ) ) )
= $true )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 ) )
| ( apply @ SV2 @ ( sK6_SY63 @ SV2 @ SV6 ) @ ( sK8_SY90 @ SV6 @ SV2 ) )
| ( apply @ SV2 @ ( sK8_SY90 @ SV6 @ SV2 ) @ ( sK6_SY63 @ SV2 @ SV6 ) ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(152,plain,
! [SV10: $i,SV3: $i,SV7: $i,SV15: $i] :
( ( ( ~ ( member @ SV15 @ SV7 ) )
= $true )
| ( ( apply @ SV3 @ SV10 @ SV15 )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(153,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( member @ ( sK9_SY85 @ SV10 @ SV3 @ SV7 ) @ SV7 )
| ( apply @ SV3 @ SV10 @ ( sK9_SY85 @ SV10 @ SV3 @ SV7 ) ) )
= $false )
| ( ( member @ SV10 @ SV7 )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(154,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY68: $i] :
( ~ ( member @ SY68 @ SV8 )
| ( apply @ SV4 @ SY68 @ SY68 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(155,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( member @ SY69 @ SV8 )
| ~ ( member @ SY70 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY69 @ SY70 )
| ~ ( apply @ SV4 @ SY70 @ SY69 ) )
| ( SY69 = SY70 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(156,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
| ~ ( member @ SV17 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(157,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY74: $i] :
( ~ ( member @ SY74 @ SV8 )
| ( apply @ SV4 @ SY74 @ SY74 ) ) )
= $false )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( ~ ( ~ ( member @ SV13 @ SV5 )
| ~ ( apply @ SV1 @ SV13 @ SV9 ) ) )
= $false )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 )
| ~ ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 ) ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(160,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( SV9
= ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(161,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( ~ ( member @ SV11 @ SV6 )
| ~ ( member @ SV14 @ SV6 ) ) )
= $false )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 ) ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV6: $i,SV2: $i] :
( ( ( ( apply @ SV2 @ ( sK6_SY63 @ SV2 @ SV6 ) @ ( sK8_SY90 @ SV6 @ SV2 ) )
| ( apply @ SV2 @ ( sK8_SY90 @ SV6 @ SV2 ) @ ( sK6_SY63 @ SV2 @ SV6 ) ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(164,plain,
! [SV10: $i,SV3: $i,SV7: $i,SV15: $i] :
( ( ( member @ SV15 @ SV7 )
= $false )
| ( ( apply @ SV3 @ SV10 @ SV15 )
= $true )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(165,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( member @ ( sK9_SY85 @ SV10 @ SV3 @ SV7 ) @ SV7 ) )
= $false )
| ( ( member @ SV10 @ SV7 )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(166,plain,
! [SV7: $i,SV10: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV10 @ ( sK9_SY85 @ SV10 @ SV3 @ SV7 ) )
= $false )
| ( ( member @ SV10 @ SV7 )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(167,plain,
! [SV4: $i,SV8: $i,SV18: $i] :
( ( ( ~ ( member @ SV18 @ SV8 )
| ( apply @ SV4 @ SV18 @ SV18 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(168,plain,
! [SV4: $i,SV8: $i,SV19: $i] :
( ( ( ! [SY92: $i] :
( ~ ~ ( ~ ( member @ SV19 @ SV8 )
| ~ ( member @ SY92 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SY92 )
| ~ ( apply @ SV4 @ SY92 @ SV19 ) )
| ( SV19 = SY92 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(169,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
| ~ ( member @ SV17 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(170,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
| ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(171,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( ~ ( member @ SV13 @ SV5 )
| ~ ( apply @ SV1 @ SV13 @ SV9 ) )
= $true )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(172,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ( ~ ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 )
| ~ ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 ) ) )
= $true )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(173,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ SV6 )
| ~ ( member @ SV14 @ SV6 ) )
= $true )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(174,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 ) ) )
= $true )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(175,plain,
! [SV6: $i,SV2: $i] :
( ( ( apply @ SV2 @ ( sK6_SY63 @ SV2 @ SV6 ) @ ( sK8_SY90 @ SV6 @ SV2 ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(176,plain,
! [SV6: $i,SV2: $i] :
( ( ( apply @ SV2 @ ( sK8_SY90 @ SV6 @ SV2 ) @ ( sK6_SY63 @ SV2 @ SV6 ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(177,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( member @ ( sK9_SY85 @ SV10 @ SV3 @ SV7 ) @ SV7 )
= $true )
| ( ( member @ SV10 @ SV7 )
= $false )
| ( ( least @ SV10 @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(178,plain,
! [SV4: $i,SV8: $i,SV18: $i] :
( ( ( ~ ( member @ SV18 @ SV8 ) )
= $true )
| ( ( apply @ SV4 @ SV18 @ SV18 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(179,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( member @ SV19 @ SV8 )
| ~ ( member @ SV20 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(180,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
| ~ ( member @ SV17 @ SV8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(181,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(182,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(183,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( ~ ( member @ SV13 @ SV5 ) )
= $true )
| ( ( ~ ( apply @ SV1 @ SV13 @ SV9 ) )
= $true )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(184,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 )
| ~ ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(185,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ SV6 ) )
= $true )
| ( ( ~ ( member @ SV14 @ SV6 ) )
= $true )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(186,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(187,plain,
! [SV4: $i,SV8: $i,SV18: $i] :
( ( ( member @ SV18 @ SV8 )
= $false )
| ( ( apply @ SV4 @ SV18 @ SV18 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(188,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( member @ SV19 @ SV8 )
| ~ ( member @ SV20 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
| ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(190,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(191,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(192,plain,
! [SV9: $i,SV1: $i,SV5: $i,SV13: $i] :
( ( ( member @ SV13 @ SV5 )
= $false )
| ( ( ~ ( apply @ SV1 @ SV13 @ SV9 ) )
= $true )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(193,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(194,plain,
! [SV5: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 ) )
= $false )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(195,plain,
! [SV2: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( member @ SV11 @ SV6 )
= $false )
| ( ( ~ ( member @ SV14 @ SV6 ) )
= $true )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(197,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 ) )
= $false )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(198,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( ~ ( ~ ( member @ SV19 @ SV8 )
| ~ ( member @ SV20 @ SV8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) ) )
= $true )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( member @ SY75 @ SV8 )
| ~ ( member @ SY76 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY75 @ SY76 )
| ~ ( apply @ SV4 @ SY76 @ SY75 ) )
| ( SY75 = SY76 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY93: $i] :
( ~ ~ ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY93 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ SY93 )
| ~ ( apply @ SV4 @ SY93 @ ( sK11_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK11_SY75 @ SV4 @ SV8 )
= SY93 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[191]) ).
thf(202,plain,
! [SV5: $i,SV9: $i,SV13: $i,SV1: $i] :
( ( ( apply @ SV1 @ SV13 @ SV9 )
= $false )
| ( ( member @ SV13 @ SV5 )
= $false )
| ( ( SV9 = SV13 )
= $true )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV5: $i,SV1: $i,SV9: $i] :
( ( ( member @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV5 )
= $true )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(204,plain,
! [SV5: $i,SV9: $i,SV1: $i] :
( ( ( apply @ SV1 @ ( sK7_SY83 @ SV9 @ SV1 @ SV5 ) @ SV9 )
= $true )
| ( ( member @ SV9 @ SV5 )
= $false )
| ( ( min @ SV9 @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(205,plain,
! [SV2: $i,SV11: $i,SV6: $i,SV14: $i] :
( ( ( member @ SV14 @ SV6 )
= $false )
| ( ( member @ SV11 @ SV6 )
= $false )
| ( ( ( apply @ SV2 @ SV11 @ SV14 )
| ( apply @ SV2 @ SV14 @ SV11 ) )
= $true )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(206,plain,
! [SV6: $i,SV2: $i] :
( ( ( member @ ( sK6_SY63 @ SV2 @ SV6 ) @ SV6 )
= $true )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV2: $i,SV6: $i] :
( ( ( member @ ( sK8_SY90 @ SV6 @ SV2 ) @ SV6 )
= $true )
| ( ( order @ SV2 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(208,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( ~ ( member @ SV19 @ SV8 )
| ~ ( member @ SV20 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(209,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) ) )
= $false )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(210,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY94: $i] :
( ~ ~ ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY94 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ SY94 )
| ~ ( apply @ SV4 @ SY94 @ ( sK12_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK12_SY75 @ SV4 @ SV8 )
= SY94 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(211,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(212,plain,
! [SV6: $i,SV14: $i,SV11: $i,SV2: $i] :
( ( ( apply @ SV2 @ SV11 @ SV14 )
= $true )
| ( ( apply @ SV2 @ SV14 @ SV11 )
= $true )
| ( ( member @ SV11 @ SV6 )
= $false )
| ( ( member @ SV14 @ SV6 )
= $false )
| ( ( total_order @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(213,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( ~ ( member @ SV19 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV20 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(214,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( member @ SV12 @ SV8 )
| ~ ( member @ SV16 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(215,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(216,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(217,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(218,plain,
! [SV4: $i,SV20: $i,SV8: $i,SV19: $i] :
( ( ( member @ SV19 @ SV8 )
= $false )
| ( ( ~ ( member @ SV20 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(219,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( member @ SV12 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV16 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(220,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(221,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) )
| ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(222,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(223,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(224,plain,
! [SV8: $i,SV4: $i] :
( ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(225,plain,
! [SV4: $i,SV19: $i,SV8: $i,SV20: $i] :
( ( ( member @ SV20 @ SV8 )
= $false )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
| ( SV19 = SV20 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(226,plain,
! [SV4: $i,SV17: $i,SV16: $i,SV8: $i,SV12: $i] :
( ( ( member @ SV12 @ SV8 )
= $false )
| ( ( ~ ( member @ SV16 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(227,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(228,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(229,plain,
! [SV8: $i,SV4: $i] :
( ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(230,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(232,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) ) )
= $true )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV4: $i,SV17: $i,SV12: $i,SV8: $i,SV16: $i] :
( ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( ~ ( member @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(237,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(239,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(240,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(241,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY95: $i,SY96: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY95 @ SV8 ) )
| ~ ( member @ SY96 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ SY95 )
| ~ ( apply @ SV4 @ SY95 @ SY96 ) )
| ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ SY96 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[232]) ).
thf(242,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) ) )
= $false )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(243,plain,
! [SV4: $i,SV16: $i,SV12: $i,SV8: $i,SV17: $i] :
( ( ( member @ SV17 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
| ( apply @ SV4 @ SV12 @ SV17 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(245,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(246,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(247,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY97: $i,SY98: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY97 @ SV8 ) )
| ~ ( member @ SY98 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ SY97 )
| ~ ( apply @ SV4 @ SY97 @ SY98 ) )
| ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ SY98 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(248,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(249,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(250,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(251,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(252,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY99: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY99 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ SY99 ) )
| ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ SY99 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[241]) ).
thf(253,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV19 @ SV20 )
| ~ ( apply @ SV4 @ SV20 @ SV19 ) )
= $true )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(254,plain,
! [SV8: $i,SV17: $i,SV16: $i,SV12: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) ) )
= $true )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(255,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(256,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(257,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(258,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY100: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY100 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ SY100 ) )
| ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ SY100 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[247]) ).
thf(260,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(263,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(264,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[252]) ).
thf(265,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV19 @ SV20 ) )
= $true )
| ( ( ~ ( apply @ SV4 @ SV20 @ SV19 ) )
= $true )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(266,plain,
! [SV8: $i,SV17: $i,SV16: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) ) )
= $false )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(267,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(268,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(270,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(271,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[259]) ).
thf(272,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY101: $i,SY102: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY101 @ SV8 ) )
| ~ ( member @ SY102 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ SY101 )
| ~ ( apply @ SV4 @ SY101 @ SY102 ) )
| ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ SY102 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[260]) ).
thf(273,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY103: $i,SY104: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY103 @ SV8 ) )
| ~ ( member @ SY104 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ SY103 )
| ~ ( apply @ SV4 @ SY103 @ SY104 ) )
| ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ SY104 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(274,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(275,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(276,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(277,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(278,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV19 @ SV20 )
= $false )
| ( ( ~ ( apply @ SV4 @ SV20 @ SV19 ) )
= $true )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(279,plain,
! [SV8: $i,SV17: $i,SV16: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV12 @ SV16 )
| ~ ( apply @ SV4 @ SV16 @ SV17 ) )
= $true )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(280,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY105: $i,SY106: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY105 @ SV8 ) )
| ~ ( member @ SY106 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ SY105 )
| ~ ( apply @ SV4 @ SY105 @ SY106 ) )
| ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ SY106 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[267]) ).
thf(281,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY107: $i,SY108: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY107 @ SV8 ) )
| ~ ( member @ SY108 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ SY107 )
| ~ ( apply @ SV4 @ SY107 @ SY108 ) )
| ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ SY108 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[268]) ).
thf(282,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(283,plain,
! [SV4: $i,SV8: $i] :
( ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY77 @ SV8 )
| ~ ( member @ SY78 @ SV8 ) )
| ~ ( member @ SY79 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY77 @ SY78 )
| ~ ( apply @ SV4 @ SY78 @ SY79 ) )
| ( apply @ SV4 @ SY77 @ SY79 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(284,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(285,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(286,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY109: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY109 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ SY109 ) )
| ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ SY109 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(287,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY110: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY110 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ SY110 ) )
| ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ SY110 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(288,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY111: $i,SY112: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY111 @ SV8 ) )
| ~ ( member @ SY112 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ SY111 )
| ~ ( apply @ SV4 @ SY111 @ SY112 ) )
| ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ SY112 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[274]) ).
thf(289,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY113: $i,SY114: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY113 @ SV8 ) )
| ~ ( member @ SY114 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ SY113 )
| ~ ( apply @ SV4 @ SY113 @ SY114 ) )
| ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ SY114 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[275]) ).
thf(290,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(291,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(292,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK19_SY99 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(293,plain,
! [SV8: $i,SV19: $i,SV20: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV20 @ SV19 )
= $false )
| ( ( apply @ SV4 @ SV19 @ SV20 )
= $false )
| ( ( SV19 = SV20 )
= $true )
| ( ( member @ SV19 @ SV8 )
= $false )
| ( ( member @ SV20 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(294,plain,
! [SV8: $i,SV17: $i,SV16: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV12 @ SV16 ) )
= $true )
| ( ( ~ ( apply @ SV4 @ SV16 @ SV17 ) )
= $true )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(295,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY115: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY115 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ SY115 ) )
| ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ SY115 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(296,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY116: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY116 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ SY116 ) )
| ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ SY116 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[281]) ).
thf(297,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY117: $i,SY118: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY117 @ SV8 ) )
| ~ ( member @ SY118 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ SY117 )
| ~ ( apply @ SV4 @ SY117 @ SY118 ) )
| ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ SY118 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[282]) ).
thf(298,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY119: $i,SY120: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ SY119 @ SV8 ) )
| ~ ( member @ SY120 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ SY119 )
| ~ ( apply @ SV4 @ SY119 @ SY120 ) )
| ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ SY120 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[283]) ).
thf(299,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(300,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(301,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK20_SY100 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(302,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[286]) ).
thf(303,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[287]) ).
thf(304,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY121: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY121 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ SY121 ) )
| ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ SY121 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(305,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY122: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY122 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ SY122 ) )
| ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ SY122 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(306,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(307,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(308,plain,
! [SV8: $i,SV17: $i,SV16: $i,SV12: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV12 @ SV16 )
= $false )
| ( ( ~ ( apply @ SV4 @ SV16 @ SV17 ) )
= $true )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(309,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[295]) ).
thf(310,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(311,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY123: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY123 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ SY123 ) )
| ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ SY123 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[297]) ).
thf(312,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY124: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ SY124 @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ SY124 ) )
| ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ SY124 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[298]) ).
thf(313,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(314,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(315,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(316,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(317,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(318,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(319,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[304]) ).
thf(320,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[305]) ).
thf(321,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(322,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(323,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(324,plain,
! [SV8: $i,SV12: $i,SV17: $i,SV16: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV16 @ SV17 )
= $false )
| ( ( apply @ SV4 @ SV12 @ SV16 )
= $false )
| ( ( apply @ SV4 @ SV12 @ SV17 )
= $true )
| ( ( member @ SV16 @ SV8 )
= $false )
| ( ( member @ SV12 @ SV8 )
= $false )
| ( ( member @ SV17 @ SV8 )
= $false )
| ( ( order @ SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(325,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(326,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(327,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(328,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(329,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[311]) ).
thf(330,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[312]) ).
thf(331,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(332,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(333,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(334,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(335,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(336,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK33_SY109 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(337,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(338,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(339,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK34_SY110 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(340,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(341,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(342,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(343,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(344,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(345,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK19_SY99 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(346,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(347,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(348,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(349,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(350,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK37_SY115 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(351,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(352,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(353,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK38_SY116 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(354,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(355,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(356,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(357,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
| ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(358,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(359,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK20_SY100 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(360,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(361,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(362,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(363,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(364,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(365,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(366,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(367,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(368,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK41_SY121 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(369,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(370,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(371,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK42_SY122 @ SV8 @ SV4 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(372,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(373,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK15_SY77 @ SV4 @ SV8 ) @ ( sK17_SY95 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(374,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK17_SY95 @ SV8 @ SV4 ) @ ( sK19_SY99 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(375,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(376,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(377,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(378,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(379,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(380,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(381,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK43_SY123 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(382,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(383,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(384,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK44_SY124 @ SV8 @ SV4 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(385,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(386,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK16_SY77 @ SV4 @ SV8 ) @ ( sK18_SY97 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(387,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK18_SY97 @ SV8 @ SV4 ) @ ( sK20_SY100 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(388,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(389,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(390,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(391,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(392,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(393,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(394,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(395,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(396,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(397,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(398,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(399,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(400,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(401,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(402,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(403,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(404,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(405,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(406,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(407,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(408,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
| ~ ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(409,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(410,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(411,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(412,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(413,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK33_SY109 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(414,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(415,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(416,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(417,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK34_SY110 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(418,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(419,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(420,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(421,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(422,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(423,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(424,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(425,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(426,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK15_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(427,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK17_SY95 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( ( sK11_SY75 @ SV4 @ SV8 )
= ( sK13_SY93 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(428,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(429,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK37_SY115 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(430,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(431,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(432,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(433,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK38_SY116 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(434,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(435,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(436,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(437,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(438,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(439,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(440,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(441,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(442,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK16_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(443,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK18_SY97 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( ( sK12_SY75 @ SV4 @ SV8 )
= ( sK14_SY94 @ SV8 @ SV4 ) )
= $false )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(444,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(445,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK21_SY77 @ SV4 @ SV8 ) @ ( sK25_SY101 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(446,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK25_SY101 @ SV8 @ SV4 ) @ ( sK33_SY109 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(447,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(448,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK22_SY77 @ SV4 @ SV8 ) @ ( sK26_SY103 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(449,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK26_SY103 @ SV8 @ SV4 ) @ ( sK34_SY110 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(450,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(451,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK41_SY121 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(452,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(453,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(454,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(455,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK42_SY122 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(456,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(457,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(458,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(459,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK23_SY77 @ SV4 @ SV8 ) @ ( sK29_SY105 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(460,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK29_SY105 @ SV8 @ SV4 ) @ ( sK37_SY115 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(461,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(462,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK24_SY77 @ SV4 @ SV8 ) @ ( sK30_SY107 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(463,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK30_SY107 @ SV8 @ SV4 ) @ ( sK38_SY116 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(464,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(465,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK43_SY123 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(466,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(467,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(468,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(469,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK44_SY124 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(470,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(471,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(472,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(473,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(474,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(475,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(476,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(477,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK27_SY77 @ SV4 @ SV8 ) @ ( sK35_SY111 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(478,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK35_SY111 @ SV8 @ SV4 ) @ ( sK41_SY121 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(479,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(480,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK28_SY77 @ SV4 @ SV8 ) @ ( sK36_SY113 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(481,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK36_SY113 @ SV8 @ SV4 ) @ ( sK42_SY122 @ SV8 @ SV4 ) )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(482,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(483,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(484,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(485,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(486,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(487,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK31_SY77 @ SV4 @ SV8 ) @ ( sK39_SY117 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(488,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK39_SY117 @ SV8 @ SV4 ) @ ( sK43_SY123 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(489,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(490,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK32_SY77 @ SV4 @ SV8 ) @ ( sK40_SY119 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(491,plain,
! [SV8: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK40_SY119 @ SV8 @ SV4 ) @ ( sK44_SY124 @ SV8 @ SV4 ) )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(492,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK21_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(493,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK25_SY101 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK11_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(494,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK22_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(495,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK26_SY103 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( member @ ( sK13_SY93 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(496,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(497,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(498,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(499,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(500,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK23_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(501,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK29_SY105 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK12_SY75 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(502,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK24_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(503,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK30_SY107 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK14_SY94 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(504,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(505,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(506,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(507,plain,
! [SV4: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 ) )
= $false )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(508,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK27_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(509,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK35_SY111 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK11_SY75 @ SV4 @ SV8 ) @ ( sK13_SY93 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(510,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK28_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(511,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK36_SY113 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK10_SY74 @ SV4 @ SV8 ) @ ( sK10_SY74 @ SV4 @ SV8 ) )
= $false )
| ( ( apply @ SV4 @ ( sK13_SY93 @ SV8 @ SV4 ) @ ( sK11_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(512,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK31_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(513,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK39_SY117 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK12_SY75 @ SV4 @ SV8 ) @ ( sK14_SY94 @ SV8 @ SV4 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(514,plain,
! [SV8: $i,SV4: $i] :
( ( ( member @ ( sK32_SY77 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(515,plain,
! [SV4: $i,SV8: $i] :
( ( ( member @ ( sK40_SY119 @ SV8 @ SV4 ) @ SV8 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV4 @ SV8 ) @ SV8 )
= $true )
| ( ( apply @ SV4 @ ( sK14_SY94 @ SV8 @ SV4 ) @ ( sK12_SY75 @ SV4 @ SV8 ) )
= $true )
| ( ( order @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(516,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[27,515,514,513,512,511,510,509,508,503,502,501,500,495,494,493,492,491,490,488,487,481,480,478,477,469,465,463,462,460,459,455,451,449,448,446,445,443,442,433,429,427,426,417,413,387,386,384,381,374,373,371,368,359,353,350,345,339,336,324,301,293,292,212,207,206,204,203,202,187,177,176,175,166,164,160,137,136,130,125,114,110,98]) ).
thf(517,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET804+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n016.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Oct 6 14:57:44 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/0.76
% 2.74/0.76 No.of.Axioms: 4
% 2.74/0.76
% 2.74/0.76 Length.of.Defs: 0
% 2.74/0.76
% 2.74/0.76 Contains.Choice.Funs: false
% 2.74/0.76 ...............
% 2.74/0.76
% 2.74/0.76 ********************************
% 2.74/0.76 * All subproblems solved! *
% 2.74/0.76 ********************************
% 2.74/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:0,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:516,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.74/0.76
% 2.74/0.76 %**** Beginning of derivation protocol ****
% 2.74/0.76 % SZS output start CNFRefutation
% See solution above
% 2.74/0.77
% 2.74/0.77 %**** End of derivation protocol ****
% 2.74/0.77 %**** no. of clauses in derivation: 511 ****
% 2.74/0.77 %**** clause counter: 516 ****
% 2.74/0.77
% 2.74/0.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:0,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:516,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------