%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP163^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 10:24:26 AM UTC 2026
% Result : Theorem 3.06s 0.73s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 593 ( 120 unt; 0 typ; 0 def)
% Number of atoms : 4804 (1918 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 4078 ( 870 ~;1363 |; 0 &;1797 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 276 ( 276 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 4 con; 0-3 aty)
% Number of variables : 915 ( 9 ^; 903 !; 3 ?; 915 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_produc1609974940nres_a,type,
produc1609974940nres_a: $tType ).
thf(tp_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(tp_set_Pr384614482nres_a,type,
set_Pr384614482nres_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_set_a,type,
set_set_a: $tType ).
thf(tp_accp_P624619091nres_a,type,
accp_P624619091nres_a: ( produc1609974940nres_a > produc1609974940nres_a > $o ) > produc1609974940nres_a > $o ).
thf(tp_bNF_Ca459084161nres_a,type,
bNF_Ca459084161nres_a: set_Pr384614482nres_a > ( refine424419629nres_a > refine424419629nres_a ) > $o ).
thf(tp_bNF_Ca953716171_set_a,type,
bNF_Ca953716171_set_a: set_Pr384614482nres_a > ( refine424419629nres_a > set_a ) > $o ).
thf(tp_chain_subset_a,type,
chain_subset_a: set_set_a > $o ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_if_Ref1724547303nres_a,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_if_set_a,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(tp_member1468928819nres_a,type,
member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_set_a,type,
member_set_a: set_a > set_set_a > $o ).
thf(tp_ord_le1480771457nres_a,type,
ord_le1480771457nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_ord_le519537037nres_a,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_ord_less_set_a,type,
ord_less_set_a: set_a > set_a > $o ).
thf(tp_order_1714329108nres_a,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_order_Greatest_set_a,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(tp_phi,type,
phi: a > $o ).
thf(tp_produc1136923598nres_a,type,
produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).
thf(tp_refine1001002027nres_a,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1048213316_rel_a,type,
refine1048213316_rel_a: produc1609974940nres_a > produc1609974940nres_a > $o ).
thf(tp_refine1198353288_RES_a,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(tp_refine1312857699nres_a,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1822134885_RES_a,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(tp_refine2063221604TURN_a,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(tp_refine260105272_rel_a,type,
refine260105272_rel_a: produc1609974940nres_a > produc1609974940nres_a > $o ).
thf(tp_refine412683989fail_a,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(tp_refine464223677AILi_a,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(tp_sK10_SY74,type,
sK10_SY74: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK11_SY81,type,
sK11_SY81: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK12_SY116,type,
sK12_SY116: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK13_SY98,type,
sK13_SY98: refine424419629nres_a > set_a ).
thf(tp_sK14_SY67,type,
sK14_SY67: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK15_SY82,type,
sK15_SY82: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK16_SY117,type,
sK16_SY117: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK17_SY76,type,
sK17_SY76: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK18_SY118,type,
sK18_SY118: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK19_SY98,type,
sK19_SY98: set_a > refine424419629nres_a > set_a ).
thf(tp_sK1_SY85,type,
sK1_SY85: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK2_SY86,type,
sK2_SY86: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK3_SY56,type,
sK3_SY56: refine424419629nres_a > set_a ).
thf(tp_sK4_SY65,type,
sK4_SY65: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK5_SY73,type,
sK5_SY73: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK6_SY80,type,
sK6_SY80: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK7_SY58,type,
sK7_SY58: refine424419629nres_a > ( refine424419629nres_a > $o ) > set_a ).
thf(tp_sK8_SY92,type,
sK8_SY92: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK9_SY66,type,
sK9_SY66: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_x,type,
x: a ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(33,axiom,
! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P @ X4 )
=> ( Q @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_Collect__mono__iff) ).
thf(36,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_Collect__mono) ).
thf(226,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
= ( Q @ X5 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_Collect__cong) ).
thf(227,axiom,
! [A4: set_a] :
( ( collect_a
@ ^ [X4: a] : ( member_a @ X4 @ A4 ) )
= A4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_Collect__mem__eq) ).
thf(228,axiom,
! [A2: a,P: a > $o] :
( ( member_a @ A2 @ ( collect_a @ P ) )
= ( P @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_mem__Collect__eq) ).
thf(257,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_less__eq__nres_Oinduct) ).
thf(258,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_less__nres_Oinduct) ).
thf(259,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_sup__nres_Oinduct) ).
thf(260,axiom,
! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_nres_Oexhaust) ).
thf(261,axiom,
! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X5: set_a] : ( P @ ( refine1198353288_RES_a @ X5 ) )
=> ( P @ Nres ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_nres_Oinduct) ).
thf(262,axiom,
! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_nres_Odistinct_I1_J) ).
thf(263,axiom,
( refine412683989fail_a
= ( ^ [M: refine424419629nres_a] :
? [M2: set_a] :
( M
= ( refine1198353288_RES_a @ M2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_nofail__RES__conv) ).
thf(264,axiom,
! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_nofail__simps_I2_J) ).
thf(266,axiom,
! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_the__RES_Osimps) ).
thf(267,axiom,
! [X: set_a,X3: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X ) @ X3 )
= ( member_a @ X3 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_nf__inres__RES) ).
thf(268,axiom,
! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_nres_Oinject) ).
thf(269,axiom,
! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_nres__more__simps_I4_J) ).
thf(270,conjecture,
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= ( phi @ x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(271,negated_conjecture,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= ( phi @ x ) )
= $false ),
inference(negate_conjecture,[status(cth)],[270]) ).
thf(272,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= ( phi @ x ) )
= $false ),
inference(unfold_def,[status(thm)],[271]) ).
thf(273,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(274,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P @ X4 )
=> ( Q @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(275,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(276,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
= ( Q @ X5 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(277,plain,
( ( ! [A4: set_a] :
( ( collect_a
@ ^ [X4: a] : ( member_a @ X4 @ A4 ) )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(278,plain,
( ( ! [A2: a,P: a > $o] :
( ( member_a @ A2 @ ( collect_a @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(279,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(280,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(281,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(282,plain,
( ( ! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(283,plain,
( ( ! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X5: set_a] : ( P @ ( refine1198353288_RES_a @ X5 ) )
=> ( P @ Nres ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(284,plain,
( ( ! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(285,plain,
( ( refine412683989fail_a
= ( ^ [M: refine424419629nres_a] :
? [M2: set_a] :
( M
= ( refine1198353288_RES_a @ M2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(286,plain,
( ( ! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(287,plain,
( ( ! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(288,plain,
( ( ! [X: set_a,X3: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X ) @ X3 )
= ( member_a @ X3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(289,plain,
( ( ! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(290,plain,
( ( ! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(291,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
!= ( phi @ x ) )
= $true ),
inference(polarity_switch,[status(thm)],[272]) ).
thf(292,plain,
( ( ! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(293,plain,
( ( ! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(294,plain,
( ( ! [X: set_a,X3: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X ) @ X3 )
= ( member_a @ X3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(295,plain,
( ( ! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(296,plain,
( ( ! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(297,plain,
( ( refine412683989fail_a
= ( ^ [M: refine424419629nres_a] :
? [M2: set_a] :
( M
= ( refine1198353288_RES_a @ M2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(298,plain,
( ( ! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(299,plain,
( ( ! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X5: set_a] : ( P @ ( refine1198353288_RES_a @ X5 ) )
=> ( P @ Nres ) ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(300,plain,
( ( ! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(301,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(302,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(303,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A: set_a,B: set_a] : ( P @ ( refine1198353288_RES_a @ A ) @ ( refine1198353288_RES_a @ B ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(304,plain,
( ( ! [A2: a,P: a > $o] :
( ( member_a @ A2 @ ( collect_a @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(305,plain,
( ( ! [A4: set_a] :
( ( collect_a
@ ^ [X4: a] : ( member_a @ X4 @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(306,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
= ( Q @ X5 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(307,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(308,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P @ X4 )
=> ( Q @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(309,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(310,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
!= ( phi @ x ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(311,plain,
( ( ! [SX0: refine424419629nres_a] :
( ~ ( ( SX0 != refine464223677AILi_a ) )
| ~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(312,plain,
( ( ! [SX0: refine424419629nres_a > $o,SX1: refine424419629nres_a] :
( ~ ( SX0 @ refine464223677AILi_a )
| ~ ! [SX2: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(313,plain,
( ( ! [SX0: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(314,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(315,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) )
| ( ( collect_a @ SX0 )
= ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(316,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ SX3 @ refine464223677AILi_a )
| ~ ! [SX3: set_a] : ( SX0 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SX3 ) )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(317,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) )
= ( ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(318,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ SX3 @ refine464223677AILi_a )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ~ ! [SX3: set_a] : ( SX0 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SX3 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(319,plain,
( ( refine412683989fail_a
= ( ^ [SX0: refine424419629nres_a] :
~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(320,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ refine464223677AILi_a @ SX3 )
| ~ ! [SX3: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ refine464223677AILi_a )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(321,plain,
! [SV1: set_a] :
( ( ! [SY51: set_a] :
( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SY51 ) )
= ( SV1 = SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(322,plain,
! [SV2: set_a] :
( ( ! [SY52: set_a] :
( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SY52 ) )
= ( SV2 = SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(323,plain,
! [SV3: set_a] :
( ( ! [SY53: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SY53 )
= ( member_a @ SY53 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(324,plain,
! [SV4: set_a] :
( ( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ SV4 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(325,plain,
! [SV5: set_a] :
( ( refine412683989fail_a @ ( refine1198353288_RES_a @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(326,plain,
! [SV6: a] :
( ( ! [SY54: a > $o] :
( ( member_a @ SV6 @ ( collect_a @ SY54 ) )
= ( SY54 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(327,plain,
! [SV7: set_a] :
( ( ( collect_a
@ ^ [SY55: a] : ( member_a @ SY55 @ SV7 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(328,plain,
! [SV8: $o] :
( ( ( SV8 = $true )
| ( SV8 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[309]) ).
thf(329,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[309]) ).
thf(330,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[309]) ).
thf(331,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= ( phi @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(332,plain,
! [SV9: refine424419629nres_a] :
( ( ~ ( ( SV9 != refine464223677AILi_a ) )
| ~ ! [SY56: set_a] :
( SV9
!= ( refine1198353288_RES_a @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(333,plain,
! [SV10: refine424419629nres_a > $o] :
( ( ! [SY57: refine424419629nres_a] :
( ~ ( SV10 @ refine464223677AILi_a )
| ~ ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) )
| ( SV10 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(334,plain,
! [SV11: set_a] :
( ( refine464223677AILi_a
!= ( refine1198353288_RES_a @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(335,plain,
! [SV12: a > $o] :
( ( ! [SY59: a > $o] :
( ~ ! [SY60: a] :
( ~ ( SV12 @ SY60 )
| ( SY59 @ SY60 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(336,plain,
! [SV13: a > $o] :
( ( ! [SY61: a > $o] :
( ~ ! [SY62: a] :
( ( SV13 @ SY62 )
= ( SY61 @ SY62 ) )
| ( ( collect_a @ SV13 )
= ( collect_a @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(337,plain,
! [SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY63: refine424419629nres_a,SY64: refine424419629nres_a] :
( ~ ! [SY65: refine424419629nres_a] : ( SV14 @ SY65 @ refine464223677AILi_a )
| ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SY63 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(338,plain,
! [SV15: a > $o] :
( ( ! [SY69: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SY69 ) )
= ( ! [SY70: a] :
( ~ ( SV15 @ SY70 )
| ( SY69 @ SY70 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(339,plain,
! [SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY71: refine424419629nres_a,SY72: refine424419629nres_a] :
( ~ ! [SY73: refine424419629nres_a] : ( SV16 @ SY73 @ refine464223677AILi_a )
| ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SY71 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(340,plain,
( ( ! [SV17: refine424419629nres_a] :
( ( refine412683989fail_a @ SV17 )
= ( ~ ! [SY77: set_a] :
( SV17
!= ( refine1198353288_RES_a @ SY77 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(341,plain,
( ( refine412683989fail_a
= ( ^ [SX0: refine424419629nres_a] :
~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[319]) ).
thf(342,plain,
! [SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY78: refine424419629nres_a,SY79: refine424419629nres_a] :
( ~ ! [SY80: refine424419629nres_a] : ( SV18 @ refine464223677AILi_a @ SY80 )
| ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(343,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= ( SV1 = SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(344,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= ( SV2 = SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(345,plain,
! [SV21: a,SV3: set_a] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= ( member_a @ SV21 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(346,plain,
! [SV22: a > $o,SV6: a] :
( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= ( SV22 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(347,plain,
! [SV8: $o] :
( ( ( SV8 = $true )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(348,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(349,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(350,plain,
( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ( phi @ x ) )
| ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ~ ( phi @ x ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(351,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= ( phi @ x ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(352,plain,
! [SV9: refine424419629nres_a] :
( ( ( ~ ( ( SV9 != refine464223677AILi_a ) ) )
= $true )
| ( ( ~ ! [SY56: set_a] :
( SV9
!= ( refine1198353288_RES_a @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(353,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ~ ( SV10 @ refine464223677AILi_a )
| ~ ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) )
| ( SV10 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(354,plain,
! [SV11: set_a] :
( ( refine464223677AILi_a
= ( refine1198353288_RES_a @ SV11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(355,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ~ ! [SY85: a] :
( ~ ( SV12 @ SY85 )
| ( SV24 @ SY85 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(356,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ~ ! [SY86: a] :
( ( SV13 @ SY86 )
= ( SV25 @ SY86 ) )
| ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(357,plain,
! [SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY87: refine424419629nres_a] :
( ~ ! [SY65: refine424419629nres_a] : ( SV14 @ SY65 @ refine464223677AILi_a )
| ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(358,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(359,plain,
! [SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY93: refine424419629nres_a] :
( ~ ! [SY73: refine424419629nres_a] : ( SV16 @ SY73 @ refine464223677AILi_a )
| ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(360,plain,
! [SV29: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV29 )
= ( ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(361,plain,
! [SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY99: refine424419629nres_a] :
( ~ ! [SY80: refine424419629nres_a] : ( SV18 @ refine464223677AILi_a @ SY80 )
| ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(362,plain,
! [SV19: set_a,SV1: set_a] :
( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 = SV19 ) )
| ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(363,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= ( SV1 = SV19 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(364,plain,
! [SV20: set_a,SV2: set_a] :
( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 = SV20 ) )
| ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(365,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= ( SV2 = SV20 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[344]) ).
thf(366,plain,
! [SV21: a,SV3: set_a] :
( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ( member_a @ SV21 @ SV3 ) )
| ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(367,plain,
! [SV21: a,SV3: set_a] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= ( member_a @ SV21 @ SV3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(368,plain,
! [SV22: a > $o,SV6: a] :
( ( ~ ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ( SV22 @ SV6 ) )
| ~ ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV22: a > $o,SV6: a] :
( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= ( SV22 @ SV6 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[346]) ).
thf(370,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $true )
| ~ ( ~ SV8
| ~ $true ) )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[347]) ).
thf(371,plain,
! [SV8: $o] :
( ( ( SV8 = $true )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[347]) ).
thf(372,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(373,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(374,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(375,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[349]) ).
thf(376,plain,
( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ( phi @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(377,plain,
( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ~ ( phi @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(378,plain,
! [SV9: refine424419629nres_a] :
( ( ( SV9 != refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY56: set_a] :
( SV9
!= ( refine1198353288_RES_a @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(379,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ( ~ ( SV10 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) )
| ( SV10 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(380,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ( ~ ! [SY85: a] :
( ~ ( SV12 @ SY85 )
| ( SV24 @ SY85 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(381,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ! [SY86: a] :
( ( SV13 @ SY86 )
= ( SV25 @ SY86 ) ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(382,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY65: refine424419629nres_a] : ( SV14 @ SY65 @ refine464223677AILi_a )
| ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(383,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[358]) ).
thf(384,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[358]) ).
thf(385,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY73: refine424419629nres_a] : ( SV16 @ SY73 @ refine464223677AILi_a )
| ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(386,plain,
! [SV29: refine424419629nres_a] :
( ( ~ ( ( refine412683989fail_a @ SV29 )
| ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
| ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[360]) ).
thf(387,plain,
! [SV29: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV29 )
= ( ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[360]) ).
thf(388,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY80: refine424419629nres_a] : ( SV18 @ refine464223677AILi_a @ SY80 )
| ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(389,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 = SV19 ) ) )
= $true )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(390,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 = SV20 ) ) )
= $true )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(391,plain,
! [SV21: a,SV3: set_a] :
( ( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ( member_a @ SV21 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(392,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ~ ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ( SV22 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(393,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $true ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $true ) )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(394,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false )
| ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[371]) ).
thf(395,plain,
! [SV8: $o] :
( ( ( SV8 = $false )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[371]) ).
thf(396,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(397,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[373]) ).
thf(398,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[373]) ).
thf(399,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(400,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[375]) ).
thf(401,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[375]) ).
thf(402,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ( phi @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(403,plain,
( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
| ~ ( phi @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(404,plain,
! [SV9: refine424419629nres_a] :
( ( ( SV9 = refine464223677AILi_a )
= $true )
| ( ( ~ ! [SY56: set_a] :
( SV9
!= ( refine1198353288_RES_a @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(405,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ( SV10 @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) )
| ( SV10 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(406,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ( ! [SY85: a] :
( ~ ( SV12 @ SY85 )
| ( SV24 @ SY85 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(407,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ! [SY86: a] :
( ( SV13 @ SY86 )
= ( SV25 @ SY86 ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(408,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY65: refine424419629nres_a] : ( SV14 @ SY65 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(409,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(410,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY73: refine424419629nres_a] : ( SV16 @ SY73 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(411,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ( ( refine412683989fail_a @ SV29 )
| ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(412,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY80: refine424419629nres_a] : ( SV18 @ refine464223677AILi_a @ SY80 ) )
= $true )
| ( ( ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(413,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 = SV19 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(414,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 = SV20 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(415,plain,
! [SV21: a,SV3: set_a] :
( ( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ( member_a @ SV21 @ SV3 ) )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(416,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ( SV22 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(417,plain,
! [SV8: $o] :
( ( ( SV8
| $true )
= $false )
| ( ( ~ ( ~ SV8
| ~ $true ) )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(418,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(419,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(420,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(421,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(422,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(423,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= $true )
| ( ( phi @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(424,plain,
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x ) )
= $true )
| ( ( ~ ( phi @ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(425,plain,
! [SV9: refine424419629nres_a] :
( ( ( ! [SY56: set_a] :
( SV9
!= ( refine1198353288_RES_a @ SY56 ) ) )
= $false )
| ( ( SV9 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(426,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ( ~ ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) ) )
= $true )
| ( ( SV10 @ SV23 )
= $true )
| ( ( SV10 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(427,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ( ~ ( SV12 @ ( sK1_SY85 @ SV24 @ SV12 ) )
| ( SV24 @ ( sK1_SY85 @ SV24 @ SV12 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[406]) ).
thf(428,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[407]) ).
thf(429,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY65: refine424419629nres_a] : ( SV14 @ SY65 @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(430,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(431,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY73: refine424419629nres_a] : ( SV16 @ SY73 @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(432,plain,
! [SV29: refine424419629nres_a] :
( ( ( ( refine412683989fail_a @ SV29 )
| ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(433,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY80: refine424419629nres_a] : ( SV18 @ refine464223677AILi_a @ SY80 ) )
= $false )
| ( ( ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(434,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(435,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( SV1 = SV19 )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(436,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(437,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( SV2 = SV20 )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(438,plain,
! [SV21: a,SV3: set_a] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(439,plain,
! [SV3: set_a,SV21: a] :
( ( ( member_a @ SV21 @ SV3 )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(440,plain,
! [SV22: a > $o,SV6: a] :
( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(441,plain,
! [SV6: a,SV22: a > $o] :
( ( ( SV22 @ SV6 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(442,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $true ) )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(443,plain,
! [SV8: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV8
| ~ $true ) )
= $true )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(444,plain,
! [SV8: $o] :
( ( ( SV8
| $false )
= $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(445,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(446,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(447,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(448,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(449,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(450,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(451,plain,
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= $false )
| ( ( ~ ( phi @ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(452,plain,
! [SV9: refine424419629nres_a] :
( ( ( SV9
!= ( refine1198353288_RES_a @ ( sK3_SY56 @ SV9 ) ) )
= $false )
| ( ( SV9 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(453,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ( ! [SY58: set_a] : ( SV10 @ ( refine1198353288_RES_a @ SY58 ) ) )
= $false )
| ( ( SV10 @ SV23 )
= $true )
| ( ( SV10 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(454,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ( ~ ( SV12 @ ( sK1_SY85 @ SV24 @ SV12 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(455,plain,
! [SV12: a > $o,SV24: a > $o] :
( ( ( SV24 @ ( sK1_SY85 @ SV24 @ SV12 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(456,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
| ~ ( ~ ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ~ ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[428]) ).
thf(457,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[428]) ).
thf(458,plain,
! [SV26: refine424419629nres_a,SV31: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) )
| ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(459,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(460,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(461,plain,
! [SV28: refine424419629nres_a,SV32: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) )
| ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[431]) ).
thf(462,plain,
! [SV29: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV29 )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(463,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(464,plain,
! [SV30: refine424419629nres_a,SV33: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false )
| ( ( ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a )
| ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[433]) ).
thf(465,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(466,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
| ( SV1 != SV19 ) )
= $false )
| ( ( SV1 = SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(467,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(468,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
| ( SV2 != SV20 ) )
= $false )
| ( ( SV2 = SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(469,plain,
! [SV21: a,SV3: set_a] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(470,plain,
! [SV21: a,SV3: set_a] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
| ~ ( member_a @ SV21 @ SV3 ) )
= $false )
| ( ( member_a @ SV21 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(471,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) )
= $false )
| ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(472,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) )
| ~ ( SV22 @ SV6 ) )
= $false )
| ( ( SV22 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(473,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $true )
= $false )
| ( SV8 = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(474,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(475,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(476,plain,
! [SV8: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(477,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(478,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(479,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(480,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(481,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(482,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(483,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(484,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(485,plain,
( ( ( phi @ x )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(486,plain,
! [SV9: refine424419629nres_a] :
( ( ( SV9
= ( refine1198353288_RES_a @ ( sK3_SY56 @ SV9 ) ) )
= $true )
| ( ( SV9 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(487,plain,
! [SV23: refine424419629nres_a,SV10: refine424419629nres_a > $o] :
( ( ( SV10 @ ( refine1198353288_RES_a @ ( sK7_SY58 @ SV23 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV23 )
= $true )
| ( ( SV10 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[453]) ).
thf(488,plain,
! [SV24: a > $o,SV12: a > $o] :
( ( ( SV12 @ ( sK1_SY85 @ SV24 @ SV12 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV12 ) @ ( collect_a @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(489,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(490,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ~ ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(491,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) ) )
= $true )
| ( ( ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(492,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(493,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
| ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[460]) ).
thf(494,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) ) )
= $true )
| ( ( ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(495,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(496,plain,
! [SV29: refine424419629nres_a] :
( ( ( ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(497,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(498,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(499,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( SV1 != SV19 )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(500,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV19 ) )
= $false )
| ( ( SV1 = SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(501,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( SV1 != SV19 )
= $false )
| ( ( SV1 = SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(502,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(503,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( SV2 != SV20 )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(504,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV20 ) )
= $false )
| ( ( SV2 = SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(505,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( SV2 != SV20 )
= $false )
| ( ( SV2 = SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(506,plain,
! [SV21: a,SV3: set_a] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(507,plain,
! [SV3: set_a,SV21: a] :
( ( ( ~ ( member_a @ SV21 @ SV3 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(508,plain,
! [SV21: a,SV3: set_a] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 ) )
= $false )
| ( ( member_a @ SV21 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(509,plain,
! [SV3: set_a,SV21: a] :
( ( ( ~ ( member_a @ SV21 @ SV3 ) )
= $false )
| ( ( member_a @ SV21 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(510,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) ) )
= $false )
| ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(511,plain,
! [SV6: a,SV22: a > $o] :
( ( ( ~ ( SV22 @ SV6 ) )
= $false )
| ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(512,plain,
! [SV22: a > $o,SV6: a] :
( ( ( ~ ( member_a @ SV6 @ ( collect_a @ SV22 ) ) )
= $false )
| ( ( SV22 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(513,plain,
! [SV6: a,SV22: a > $o] :
( ( ( ~ ( SV22 @ SV6 ) )
= $false )
| ( ( SV22 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(514,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(515,plain,
! [SV8: $o] :
( ( ( ~ $true ) = $false )
| ( SV8 = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(516,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $true = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(517,plain,
! [SV8: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(518,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( SV8 = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(519,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(520,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(521,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(522,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(523,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(524,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(525,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(526,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(527,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(528,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(529,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(530,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(531,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(532,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(533,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
| ~ ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(534,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY66: set_a] : ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY66 ) ) )
= $false )
| ( ( ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(535,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(536,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(537,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(538,plain,
! [SV15: a > $o,SV27: a > $o] :
( ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(539,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY74: set_a,SY75: set_a] : ( SV16 @ ( refine1198353288_RES_a @ SY74 ) @ ( refine1198353288_RES_a @ SY75 ) ) )
= $false )
| ( ( ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(540,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV29 ) )
= $false )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(541,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(542,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( SV29
!= ( refine1198353288_RES_a @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(543,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY81: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY81 ) @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(544,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $true )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(545,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( SV1 = SV19 )
= $true )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(546,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV19 ) )
= $true )
| ( ( SV1 = SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(547,plain,
! [SV19: set_a,SV1: set_a] :
( ( ( SV1 = SV19 )
= $true )
| ( ( SV1 = SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(548,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $true )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(549,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( SV2 = SV20 )
= $true )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(550,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV20 ) )
= $true )
| ( ( SV2 = SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(551,plain,
! [SV20: set_a,SV2: set_a] :
( ( ( SV2 = SV20 )
= $true )
| ( ( SV2 = SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(552,plain,
! [SV21: a,SV3: set_a] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $true )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(553,plain,
! [SV3: set_a,SV21: a] :
( ( ( member_a @ SV21 @ SV3 )
= $true )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(554,plain,
! [SV21: a,SV3: set_a] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ SV3 ) @ SV21 )
= $true )
| ( ( member_a @ SV21 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(555,plain,
! [SV3: set_a,SV21: a] :
( ( ( member_a @ SV21 @ SV3 )
= $true )
| ( ( member_a @ SV21 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(556,plain,
! [SV22: a > $o,SV6: a] :
( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $true )
| ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(557,plain,
! [SV6: a,SV22: a > $o] :
( ( ( SV22 @ SV6 )
= $true )
| ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(558,plain,
! [SV22: a > $o,SV6: a] :
( ( ( member_a @ SV6 @ ( collect_a @ SV22 ) )
= $true )
| ( ( SV22 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(559,plain,
! [SV6: a,SV22: a > $o] :
( ( ( SV22 @ SV6 )
= $true )
| ( ( SV22 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(560,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(561,plain,
! [SV8: $o] :
( ( $true = $true )
| ( SV8 = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(562,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $true = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(563,plain,
! [SV8: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV8 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(564,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(565,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( SV8 = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(566,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $false = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(567,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(568,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(569,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(570,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(571,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(572,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(573,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(574,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(575,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(576,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(577,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(578,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(579,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(580,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(581,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(582,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(583,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(584,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= $true )
| ( ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(585,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( ~ ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $true )
| ( ( ~ ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(586,plain,
! [SV26: refine424419629nres_a,SV31: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK9_SY66 @ SV31 @ SV26 @ SV14 ) ) )
= $false )
| ( ( ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) )
| ( SV14 @ SV26 @ SV31 ) )
= $true )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[534]) ).
thf(587,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(588,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(589,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(590,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(591,plain,
! [SV28: refine424419629nres_a,SV32: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY116: set_a] : ( SV16 @ ( refine1198353288_RES_a @ ( sK10_SY74 @ SV32 @ SV28 @ SV16 ) ) @ ( refine1198353288_RES_a @ SY116 ) ) )
= $false )
| ( ( ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[539]) ).
thf(592,plain,
! [SV29: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV29 )
= $true )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(593,plain,
! [SV29: refine424419629nres_a] :
( ( ( ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $true )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(594,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(595,plain,
! [SV30: refine424419629nres_a,SV33: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV18 @ ( refine1198353288_RES_a @ ( sK11_SY81 @ SV33 @ SV30 @ SV18 ) ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) )
| ( SV18 @ SV30 @ SV33 ) )
= $true )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[543]) ).
thf(596,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false )
| ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(597,plain,
! [SV8: $o] :
( ( ( SV8 = $false )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(598,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false )
| ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(599,plain,
! [SV8: $o] :
( ( ( SV8 = $false )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(600,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false )
| ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(601,plain,
! [SV8: $o] :
( ( ( SV8 = $false )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(602,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false )
| ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(603,plain,
! [SV8: $o] :
( ( ( SV8 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(604,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(605,plain,
! [SV8: $o] :
( ( $false = $true )
| ( SV8 = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(606,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $false = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(607,plain,
! [SV8: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV8 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(608,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(609,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(610,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(611,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(612,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(613,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(614,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(615,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(616,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(617,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(618,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(619,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(620,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(621,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(622,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(623,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(624,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[578]) ).
thf(625,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[578]) ).
thf(626,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(627,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(628,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(629,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(630,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(631,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(632,plain,
! [SV25: a > $o,SV13: a > $o] :
( ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= $false )
| ( ( ~ ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) ) )
= $true )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(633,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) ) )
= $true )
| ( ( SV14 @ SV26 @ SV31 )
= $true )
| ( ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK9_SY66 @ SV31 @ SV26 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(634,plain,
! [SV27: a > $o,SV35: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV35 )
| ( SV27 @ SV35 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(635,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
| ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(636,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) ) )
= $false )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(637,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(638,plain,
! [SV28: refine424419629nres_a,SV32: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV16 @ ( refine1198353288_RES_a @ ( sK10_SY74 @ SV32 @ SV28 @ SV16 ) ) @ ( refine1198353288_RES_a @ ( sK12_SY116 @ SV28 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) )
| ( SV16 @ SV28 @ SV32 ) )
= $true )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[591]) ).
thf(639,plain,
! [SV29: refine424419629nres_a] :
( ( ( ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(640,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV29 )
| ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(641,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) ) )
= $true )
| ( ( SV18 @ SV30 @ SV33 )
= $true )
| ( ( SV18 @ ( refine1198353288_RES_a @ ( sK11_SY81 @ SV33 @ SV30 @ SV18 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(642,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(643,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(644,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(645,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| $false ) )
= $true )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(646,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(647,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(648,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(649,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(650,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(651,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(652,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(653,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(654,plain,
! [SV13: a > $o,SV25: a > $o] :
( ( ( SV25 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK2_SY86 @ SV25 @ SV13 ) )
= $false )
| ( ( ( collect_a @ SV13 )
= ( collect_a @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(655,plain,
! [SV31: refine424419629nres_a,SV26: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY67: set_a,SY68: set_a] : ( SV14 @ ( refine1198353288_RES_a @ SY67 ) @ ( refine1198353288_RES_a @ SY68 ) ) )
= $false )
| ( ( SV14 @ SV26 @ SV31 )
= $true )
| ( ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK9_SY66 @ SV31 @ SV26 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(656,plain,
! [SV27: a > $o,SV35: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV35 ) )
= $true )
| ( ( SV27 @ SV35 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(657,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) ) )
= $false )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(658,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ~ ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $false )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(659,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $true )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(660,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $true )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(661,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) ) )
= $true )
| ( ( SV16 @ SV28 @ SV32 )
= $true )
| ( ( SV16 @ ( refine1198353288_RES_a @ ( sK10_SY74 @ SV32 @ SV28 @ SV16 ) ) @ ( refine1198353288_RES_a @ ( sK12_SY116 @ SV28 @ SV32 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(662,plain,
! [SV29: refine424419629nres_a] :
( ( ( SV29
!= ( refine1198353288_RES_a @ ( sK13_SY98 @ SV29 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[639]) ).
thf(663,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV29 ) )
= $false )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(664,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( ~ ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(665,plain,
! [SV33: refine424419629nres_a,SV30: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY82: set_a,SY83: set_a] : ( SV18 @ ( refine1198353288_RES_a @ SY82 ) @ ( refine1198353288_RES_a @ SY83 ) ) )
= $false )
| ( ( SV18 @ SV30 @ SV33 )
= $true )
| ( ( SV18 @ ( refine1198353288_RES_a @ ( sK11_SY81 @ SV33 @ SV30 @ SV18 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(666,plain,
! [SV8: $o] :
( ( ( SV8
| $false )
= $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(667,plain,
! [SV8: $o] :
( ( ( SV8
| $false )
= $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(668,plain,
! [SV8: $o] :
( ( ( SV8
| $false )
= $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(669,plain,
! [SV8: $o] :
( ( ( SV8
| $false )
= $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(670,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(671,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(672,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(673,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(674,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(675,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(676,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(677,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(678,plain,
! [SV26: refine424419629nres_a,SV31: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY117: set_a] : ( SV14 @ ( refine1198353288_RES_a @ ( sK14_SY67 @ SV31 @ SV26 @ SV14 ) ) @ ( refine1198353288_RES_a @ SY117 ) ) )
= $false )
| ( ( SV14 @ SV26 @ SV31 )
= $true )
| ( ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK9_SY66 @ SV31 @ SV26 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[655]) ).
thf(679,plain,
! [SV27: a > $o,SV35: a,SV15: a > $o] :
( ( ( SV15 @ SV35 )
= $false )
| ( ( SV27 @ SV35 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(680,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV15 ) @ ( collect_a @ SV27 ) )
= $true )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(681,plain,
! [SV27: a > $o,SV15: a > $o] :
( ( ( ! [SY92: a] :
( ~ ( SV15 @ SY92 )
| ( SV27 @ SY92 ) ) )
= $true )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(682,plain,
! [SV27: a > $o,SV36: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV36 )
| ( SV27 @ SV36 ) )
= $true )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(683,plain,
! [SV32: refine424419629nres_a,SV28: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY76: set_a] : ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY76 ) ) )
= $false )
| ( ( SV16 @ SV28 @ SV32 )
= $true )
| ( ( SV16 @ ( refine1198353288_RES_a @ ( sK10_SY74 @ SV32 @ SV28 @ SV16 ) ) @ ( refine1198353288_RES_a @ ( sK12_SY116 @ SV28 @ SV32 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(684,plain,
! [SV29: refine424419629nres_a] :
( ( ( SV29
= ( refine1198353288_RES_a @ ( sK13_SY98 @ SV29 ) ) )
= $true )
| ( ( refine412683989fail_a @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(685,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV29 )
= $true )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(686,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( ~ ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $true )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(687,plain,
! [SV30: refine424419629nres_a,SV33: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY118: set_a] : ( SV18 @ ( refine1198353288_RES_a @ ( sK15_SY82 @ SV33 @ SV30 @ SV18 ) ) @ ( refine1198353288_RES_a @ SY118 ) ) )
= $false )
| ( ( SV18 @ SV30 @ SV33 )
= $true )
| ( ( SV18 @ ( refine1198353288_RES_a @ ( sK11_SY81 @ SV33 @ SV30 @ SV18 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[665]) ).
thf(688,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(689,plain,
! [SV8: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(690,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(691,plain,
! [SV8: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(692,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(693,plain,
! [SV8: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(694,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(695,plain,
! [SV8: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV8
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(696,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(697,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(698,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(699,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(700,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(701,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(702,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(703,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(704,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(705,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(706,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(707,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(708,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(709,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(710,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(711,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(712,plain,
! [SV26: refine424419629nres_a,SV31: refine424419629nres_a,SV14: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV14 @ ( refine1198353288_RES_a @ ( sK14_SY67 @ SV31 @ SV26 @ SV14 ) ) @ ( refine1198353288_RES_a @ ( sK16_SY117 @ SV26 @ SV31 @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV26 @ SV31 )
= $true )
| ( ( SV14 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK9_SY66 @ SV31 @ SV26 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK4_SY65 @ SV31 @ SV26 @ SV14 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[678]) ).
thf(713,plain,
! [SV27: a > $o,SV37: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV37 )
| ( SV27 @ SV37 ) )
= $true )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(714,plain,
! [SV27: a > $o,SV36: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV36 ) )
= $true )
| ( ( SV27 @ SV36 )
= $true )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(715,plain,
! [SV28: refine424419629nres_a,SV32: refine424419629nres_a,SV16: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV16 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK17_SY76 @ SV32 @ SV28 @ SV16 ) ) )
= $false )
| ( ( SV16 @ SV28 @ SV32 )
= $true )
| ( ( SV16 @ ( refine1198353288_RES_a @ ( sK10_SY74 @ SV32 @ SV28 @ SV16 ) ) @ ( refine1198353288_RES_a @ ( sK12_SY116 @ SV28 @ SV32 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK5_SY73 @ SV32 @ SV28 @ SV16 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[683]) ).
thf(716,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( ! [SY98: set_a] :
( SV29
!= ( refine1198353288_RES_a @ SY98 ) ) )
= $false )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(717,plain,
! [SV30: refine424419629nres_a,SV33: refine424419629nres_a,SV18: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV18 @ ( refine1198353288_RES_a @ ( sK15_SY82 @ SV33 @ SV30 @ SV18 ) ) @ ( refine1198353288_RES_a @ ( sK18_SY118 @ SV30 @ SV33 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV30 @ SV33 )
= $true )
| ( ( SV18 @ ( refine1198353288_RES_a @ ( sK11_SY81 @ SV33 @ SV30 @ SV18 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV18 @ refine464223677AILi_a @ ( sK6_SY80 @ SV33 @ SV30 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[687]) ).
thf(718,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(719,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( $false = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(720,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(721,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( $false = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(722,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( SV8 = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(723,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(724,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( SV8 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(725,plain,
! [SV8: $o] :
( ( ( ~ SV8
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(726,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(727,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(728,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(729,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(730,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(731,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(732,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(733,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(734,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(735,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(736,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(737,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(738,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(739,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(740,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(741,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(742,plain,
! [SV27: a > $o,SV37: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV37 ) )
= $true )
| ( ( SV27 @ SV37 )
= $true )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(743,plain,
! [SV27: a > $o,SV36: a,SV15: a > $o] :
( ( ( SV15 @ SV36 )
= $false )
| ( ( SV27 @ SV36 )
= $true )
| ( ( SV27 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(744,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( SV29
!= ( refine1198353288_RES_a @ ( sK19_SY98 @ SV34 @ SV29 ) ) )
= $false )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[716]) ).
thf(745,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(746,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(747,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $false = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(748,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(749,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(750,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( SV8 = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(751,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $false = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(752,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(753,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(754,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( SV8 = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(755,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(756,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(757,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( SV8 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(758,plain,
! [SV8: $o] :
( ( ( ~ $false ) = $false )
| ( SV8 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(759,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(760,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(761,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(762,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(763,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(764,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(765,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(766,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(767,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(768,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(769,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(770,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(771,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(772,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(773,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(774,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(775,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(776,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(777,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(778,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(779,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(780,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(781,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(782,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(783,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(784,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(785,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(786,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(787,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(788,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(789,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(790,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(791,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(792,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(793,plain,
! [SV27: a > $o,SV37: a,SV15: a > $o] :
( ( ( SV15 @ SV37 )
= $false )
| ( ( SV27 @ SV37 )
= $true )
| ( ( SV15 @ ( sK8_SY92 @ SV27 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(794,plain,
! [SV34: set_a,SV29: refine424419629nres_a] :
( ( ( SV29
= ( refine1198353288_RES_a @ ( sK19_SY98 @ SV34 @ SV29 ) ) )
= $true )
| ( ( SV29
= ( refine1198353288_RES_a @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(795,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(796,plain,
! [SV8: $o] :
( ( $false = $true )
| ( SV8 = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(797,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $false = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(798,plain,
! [SV8: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV8 = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(799,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(800,plain,
! [SV8: $o] :
( ( $false = $true )
| ( SV8 = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(801,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $false = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(802,plain,
! [SV8: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV8 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(803,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(804,plain,
! [SV8: $o] :
( ( $false = $true )
| ( SV8 = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(805,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(806,plain,
! [SV8: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(807,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( SV8 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(808,plain,
! [SV8: $o] :
( ( $false = $true )
| ( SV8 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(809,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(810,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(811,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(812,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(813,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(814,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(815,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(816,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(817,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(818,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(819,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(820,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(821,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(822,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(823,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(824,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(825,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(826,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(827,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(828,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(829,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(830,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(831,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(832,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(833,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(834,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(835,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(836,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(837,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(838,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(839,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(840,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(841,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(842,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(843,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[324,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,743,717,715,712,685,684,680,679,659,654,631,630,629,628,627,625,623,621,619,618,617,616,615,613,611,609,607,606,605,604,603,601,599,597,592,587,584,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,488,487,486,485,457,455,423,401,398,395,387,384,369,367,365,363,354,351,341,327,325]) ).
thf(844,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP163^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 11:18:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/0.73 ..
% 3.06/0.73
% 3.06/0.73 No.of.Axioms: 18
% 3.06/0.73
% 3.06/0.73 Length.of.Defs: 0
% 3.06/0.73
% 3.06/0.73 Contains.Choice.Funs: true
% 3.06/0.73 ..........
% 3.06/0.73
% 3.06/0.73 ********************************
% 3.06/0.73 * All subproblems solved! *
% 3.06/0.73 ********************************
% 3.06/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:843,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.06/0.73
% 3.06/0.73 %**** Beginning of derivation protocol ****
% 3.06/0.73 % SZS output start CNFRefutation
% See solution above
% 3.06/0.73
% 3.06/0.73 %**** End of derivation protocol ****
% 3.06/0.73 %**** no. of clauses in derivation: 593 ****
% 3.06/0.73 %**** clause counter: 843 ****
% 3.06/0.73
% 3.06/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:843,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------