TSTP Solution File: LCL947^10 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL947^10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:27:42 EDT 2022
% Result : Theorem 2.36s 2.75s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 102
% Syntax : Number of formulae : 1100 ( 89 unt; 72 typ; 10 def)
% Number of atoms : 26361 (7158 equ; 0 cnn)
% Maximal formula atoms : 44 ( 25 avg)
% Number of connectives : 49931 (5238 ~;10500 |; 4 &;34184 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 12 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 381 ( 381 >; 0 *; 0 +; 0 <<)
% Number of symbols : 74 ( 71 usr; 6 con; 0-8 aty)
% Number of variables : 8617 ( 111 ^8503 !; 3 ?;8617 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_member,type,
member: $i > $i > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_qmltpeq,type,
qmltpeq: $i > $i > mworld > $o ).
thf(tp_sK10_SY566,type,
sK10_SY566: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK11_SY572,type,
sK11_SY572: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK12_SY627,type,
sK12_SY627: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK13_SY634,type,
sK13_SY634: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK14_SY563,type,
sK14_SY563: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK15_SY620,type,
sK15_SY620: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK16_SY625,type,
sK16_SY625: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK17_SY661,type,
sK17_SY661: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK18_SY608,type,
sK18_SY608: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK19_SY564,type,
sK19_SY564: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK20_SY611,type,
sK20_SY611: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK21_SY614,type,
sK21_SY614: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK22_SY617,type,
sK22_SY617: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK23_SY638,type,
sK23_SY638: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK24_SY622,type,
sK24_SY622: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK25_SY651,type,
sK25_SY651: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK26_SY564,type,
sK26_SY564: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK27_SY676,type,
sK27_SY676: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK28_SY641,type,
sK28_SY641: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK29_SY642,type,
sK29_SY642: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK30_SY609,type,
sK30_SY609: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK31_SY612,type,
sK31_SY612: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK32_SY615,type,
sK32_SY615: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK33_SY618,type,
sK33_SY618: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK34_SY623,type,
sK34_SY623: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK35_SY696,type,
sK35_SY696: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK36_SY609,type,
sK36_SY609: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK37_SY612,type,
sK37_SY612: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK38_SY615,type,
sK38_SY615: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK39_SY618,type,
sK39_SY618: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK3_SY148,type,
sK3_SY148: $i ).
thf(tp_sK40_SY623,type,
sK40_SY623: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK41_SY654,type,
sK41_SY654: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK42_SY654,type,
sK42_SY654: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK43_SY697,type,
sK43_SY697: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK44_SY706,type,
sK44_SY706: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK45_SY654,type,
sK45_SY654: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK46_SY699,type,
sK46_SY699: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK47_SY654,type,
sK47_SY654: mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK48_SY701,type,
sK48_SY701: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK49_SY703,type,
sK49_SY703: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK4_SY233,type,
sK4_SY233: mworld ).
thf(tp_sK50_SY712,type,
sK50_SY712: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK51_SY707,type,
sK51_SY707: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK52_SY709,type,
sK52_SY709: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK53_SY714,type,
sK53_SY714: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK54_SY716,type,
sK54_SY716: mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK5_SY492,type,
sK5_SY492: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK6_SY504,type,
sK6_SY504: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK7_SY538,type,
sK7_SY538: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK8_SY547,type,
sK8_SY547: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK9_SY560,type,
sK9_SY560: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_subset,type,
subset: $i > $i > mworld > $o ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) )
@ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
thf(2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( subset @ B @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subset) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( subset @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) )
@ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
thf(4,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ ( union @ C @ B ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
thf(5,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) ) @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) @ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
thf(6,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
thf(7,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ C ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_union) ).
thf(8,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ C @ A ) ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_substitution_2) ).
thf(9,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ A @ C ) ) ) @ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_substitution_1) ).
thf(10,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_substitution_2) ).
thf(11,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_substitution_1) ).
thf(12,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_substitution_2) ).
thf(13,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_substitution_1) ).
thf(14,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(15,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(16,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(17,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(18,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(19,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(20,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idempotency_of_union) ).
thf(21,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(24,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(25,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(26,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(28,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(30,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(31,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(32,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(33,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(34,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(35,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ A @ C ) ) ) @ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(36,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ C @ A ) ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(37,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ C ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(38,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(39,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) ) @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) @ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(40,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ ( union @ C @ B ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(41,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( subset @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) )
@ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(42,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( subset @ B @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(43,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) )
@ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(44,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(45,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(46,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(47,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(48,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SX1 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(49,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subset @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(50,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(51,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(52,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SX1 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(53,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(54,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( union @ SX1 @ SX1 ) @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(55,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(56,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(57,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX1 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(58,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(59,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(60,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( union @ SX1 @ SX3 ) @ ( union @ SX3 @ SX1 ) @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(61,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SX1 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(62,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(63,plain,
! [SV2: mworld] :
( ( ! [SY0: mworld,SY1: mworld] :
( ~ ( mrel @ SV2 @ SY0 )
| ~ ( mrel @ SY0 @ SY1 )
| ( mrel @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(64,plain,
! [SV3: mworld] :
( ( eiw_di @ ( sK1_X @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(65,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV4 )
| ! [SY3: mworld] :
( ~ ( mrel @ SV4 @ SY3 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY3 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(66,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV5 )
| ! [SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY26 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY25 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY25 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(67,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY31: $i] :
( ~ ( eiw_di @ SY31 @ SV6 )
| ! [SY32: mworld] :
( ~ ( mrel @ SV6 @ SY32 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY32 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY32 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY31 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY31 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(68,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY40: $i] :
( ~ ( eiw_di @ SY40 @ SV7 )
| ! [SY41: mworld] :
( ~ ( mrel @ SV7 @ SY41 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY41 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(69,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY51: $i] :
( ~ ( eiw_di @ SY51 @ SV8 )
| ! [SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ( subset @ SY51 @ SY51 @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(70,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SV9 )
| ! [SY54: mworld] :
( ~ ( mrel @ SV9 @ SY54 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY54 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(71,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV10 )
| ! [SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY71 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY70 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY70 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(72,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY79: $i] :
( ~ ( eiw_di @ SY79 @ SV11 )
| ! [SY80: mworld] :
( ~ ( mrel @ SV11 @ SY80 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY80 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY80 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY79 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY79 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(73,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ! [SY85: $i] :
( ~ ( eiw_di @ SY85 @ SV12 )
| ! [SY86: mworld] :
( ~ ( mrel @ SV12 @ SY86 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY86 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY85 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY85 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(74,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( union @ SX1 @ SX1 ) @ SX1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(75,plain,
! [SV13: mworld] :
( ( ~ ( mrel @ mactual @ SV13 )
| ! [SY94: $i] :
( ~ ( eiw_di @ SY94 @ SV13 )
| ! [SY95: mworld] :
( ~ ( mrel @ SV13 @ SY95 )
| ( qmltpeq @ SY94 @ SY94 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(76,plain,
! [SV14: mworld] :
( ( ~ ( mrel @ mactual @ SV14 )
| ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SV14 )
| ! [SY97: mworld] :
( ~ ( mrel @ SV14 @ SY97 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY97 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY96 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY96 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(77,plain,
! [SV15: mworld] :
( ( ~ ( mrel @ mactual @ SV15 )
| ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV15 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV15 @ SY106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY106 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY105 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY105 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(78,plain,
! [SV16: mworld] :
( ( ~ ( mrel @ mactual @ SV16 )
| ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV16 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV16 @ SY114 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY114 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY114 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(79,plain,
! [SV17: mworld] :
( ( ~ ( mrel @ mactual @ SV17 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SV17 )
| ! [SY127: mworld] :
( ~ ( mrel @ SV17 @ SY127 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY127 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY127 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(80,plain,
! [SV18: mworld] :
( ( ~ ( mrel @ mactual @ SV18 )
| ! [SY135: $i] :
( ~ ( eiw_di @ SY135 @ SV18 )
| ! [SY136: mworld] :
( ~ ( mrel @ SV18 @ SY136 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY136 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY136 @ SX4 )
| ( qmltpeq @ ( union @ SY135 @ SX3 ) @ ( union @ SX3 @ SY135 ) @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(81,plain,
! [SV19: mworld] :
( ( ~ ( mrel @ mactual @ SV19 )
| ! [SY139: $i] :
( ~ ( eiw_di @ SY139 @ SV19 )
| ! [SY140: mworld] :
( ~ ( mrel @ SV19 @ SY140 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY140 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY140 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY139 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY139 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(82,plain,
! [SV20: mworld,SV2: mworld] :
( ( ! [SY147: mworld] :
( ~ ( mrel @ SV2 @ SV20 )
| ~ ( mrel @ SV20 @ SY147 )
| ( mrel @ SV2 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV4 )
| ! [SY3: mworld] :
( ~ ( mrel @ SV4 @ SY3 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY3 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(84,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV5 )
| ! [SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY26 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY25 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY25 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( eiw_di @ SY31 @ SV6 )
| ! [SY32: mworld] :
( ~ ( mrel @ SV6 @ SY32 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY32 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY32 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY31 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY31 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(86,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( eiw_di @ SY40 @ SV7 )
| ! [SY41: mworld] :
( ~ ( mrel @ SV7 @ SY41 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY41 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(87,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( eiw_di @ SY51 @ SV8 )
| ! [SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ( subset @ SY51 @ SY51 @ SY52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(88,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SV9 )
| ! [SY54: mworld] :
( ~ ( mrel @ SV9 @ SY54 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY54 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(89,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV10 )
| ! [SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY71 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY70 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY70 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(90,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( eiw_di @ SY79 @ SV11 )
| ! [SY80: mworld] :
( ~ ( mrel @ SV11 @ SY80 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY80 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY80 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY79 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY79 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(91,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( eiw_di @ SY85 @ SV12 )
| ! [SY86: mworld] :
( ~ ( mrel @ SV12 @ SY86 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY86 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY85 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY85 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(92,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ! [SY148: $i] :
( ~ ( eiw_di @ SY148 @ sK2_SX0 )
| ! [SY149: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY149 )
| ( qmltpeq @ ( union @ SY148 @ SY148 ) @ SY148 @ SY149 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[74]) ).
thf(93,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 ) )
= $true )
| ( ( ! [SY94: $i] :
( ~ ( eiw_di @ SY94 @ SV13 )
| ! [SY95: mworld] :
( ~ ( mrel @ SV13 @ SY95 )
| ( qmltpeq @ SY94 @ SY94 @ SY95 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(94,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SV14 )
| ! [SY97: mworld] :
( ~ ( mrel @ SV14 @ SY97 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY97 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY96 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY96 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(95,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV15 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV15 @ SY106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY106 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY105 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY105 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(96,plain,
! [SV16: mworld] :
( ( ( ~ ( mrel @ mactual @ SV16 ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV16 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV16 @ SY114 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY114 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY114 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(97,plain,
! [SV17: mworld] :
( ( ( ~ ( mrel @ mactual @ SV17 ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SV17 )
| ! [SY127: mworld] :
( ~ ( mrel @ SV17 @ SY127 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY127 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY127 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(98,plain,
! [SV18: mworld] :
( ( ( ~ ( mrel @ mactual @ SV18 ) )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( eiw_di @ SY135 @ SV18 )
| ! [SY136: mworld] :
( ~ ( mrel @ SV18 @ SY136 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY136 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY136 @ SX4 )
| ( qmltpeq @ ( union @ SY135 @ SX3 ) @ ( union @ SX3 @ SY135 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(99,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ mactual @ SV19 ) )
= $true )
| ( ( ! [SY139: $i] :
( ~ ( eiw_di @ SY139 @ SV19 )
| ! [SY140: mworld] :
( ~ ( mrel @ SV19 @ SY140 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY140 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY140 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY139 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY139 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(100,plain,
! [SV21: mworld,SV20: mworld,SV2: mworld] :
( ( ~ ( mrel @ SV2 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 )
| ( mrel @ SV2 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(101,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV4 )
| ! [SY3: mworld] :
( ~ ( mrel @ SV4 @ SY3 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY3 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(102,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV5 )
| ! [SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY26 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY25 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY25 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(103,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( eiw_di @ SY31 @ SV6 )
| ! [SY32: mworld] :
( ~ ( mrel @ SV6 @ SY32 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY32 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY32 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY31 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY31 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(104,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY40: $i] :
( ~ ( eiw_di @ SY40 @ SV7 )
| ! [SY41: mworld] :
( ~ ( mrel @ SV7 @ SY41 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY41 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY41 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY40 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY40 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY40 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(105,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( eiw_di @ SY51 @ SV8 )
| ! [SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ( subset @ SY51 @ SY51 @ SY52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(106,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SV9 )
| ! [SY54: mworld] :
( ~ ( mrel @ SV9 @ SY54 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY54 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY54 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY53 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY53 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(107,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV10 )
| ! [SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY71 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY70 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY70 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(108,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( eiw_di @ SY79 @ SV11 )
| ! [SY80: mworld] :
( ~ ( mrel @ SV11 @ SY80 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY80 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY80 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY79 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY79 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(109,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( eiw_di @ SY85 @ SV12 )
| ! [SY86: mworld] :
( ~ ( mrel @ SV12 @ SY86 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY86 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY85 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY85 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(110,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(111,plain,
( ( ! [SY148: $i] :
( ~ ( eiw_di @ SY148 @ sK2_SX0 )
| ! [SY149: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY149 )
| ( qmltpeq @ ( union @ SY148 @ SY148 ) @ SY148 @ SY149 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(112,plain,
! [SV13: mworld] :
( ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( eiw_di @ SY94 @ SV13 )
| ! [SY95: mworld] :
( ~ ( mrel @ SV13 @ SY95 )
| ( qmltpeq @ SY94 @ SY94 @ SY95 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV14: mworld] :
( ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SV14 )
| ! [SY97: mworld] :
( ~ ( mrel @ SV14 @ SY97 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY97 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY96 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY96 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV15: mworld] :
( ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV15 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV15 @ SY106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY106 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY105 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY105 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV16: mworld] :
( ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV16 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV16 @ SY114 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY114 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY114 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY113 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY113 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV17: mworld] :
( ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SV17 )
| ! [SY127: mworld] :
( ~ ( mrel @ SV17 @ SY127 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY127 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY127 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY126 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV18: mworld] :
( ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SY135: $i] :
( ~ ( eiw_di @ SY135 @ SV18 )
| ! [SY136: mworld] :
( ~ ( mrel @ SV18 @ SY136 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY136 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY136 @ SX4 )
| ( qmltpeq @ ( union @ SY135 @ SX3 ) @ ( union @ SX3 @ SY135 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(118,plain,
! [SV19: mworld] :
( ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( ! [SY139: $i] :
( ~ ( eiw_di @ SY139 @ SV19 )
| ! [SY140: mworld] :
( ~ ( mrel @ SV19 @ SY140 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY140 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY140 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY139 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY139 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV21: mworld,SV20: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV2 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV4: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV4 )
| ! [SY150: mworld] :
( ~ ( mrel @ SV4 @ SY150 )
| ! [SY151: $i] :
( ~ ( eiw_di @ SY151 @ SY150 )
| ~ ( ~ ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY152 @ SY153 )
| ( qmltpeq @ SV22 @ SY151 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY152 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY150 @ SY162 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY162 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY162 @ SY171 )
| ( qmltpeq @ SV22 @ SY151 @ SY171 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV5: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV5 )
| ! [SY172: mworld] :
( ~ ( mrel @ SV5 @ SY172 )
| ! [SY173: $i] :
( ~ ( eiw_di @ SY173 @ SY172 )
| ! [SY174: mworld] :
( ~ ( mrel @ SY172 @ SY174 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY174 @ SY175 )
| ( qmltpeq @ SV23 @ SY173 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY174 @ SY176 )
| ( qmltpeq @ SY173 @ SV23 @ SY176 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(122,plain,
! [SV6: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV6 )
| ! [SY177: mworld] :
( ~ ( mrel @ SV6 @ SY177 )
| ! [SY178: $i] :
( ~ ( eiw_di @ SY178 @ SY177 )
| ! [SY179: mworld] :
( ~ ( mrel @ SY177 @ SY179 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY179 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY179 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY178 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY178 @ SY180 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV7: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV7 )
| ! [SY185: mworld] :
( ~ ( mrel @ SV7 @ SY185 )
| ! [SY186: $i] :
( ~ ( eiw_di @ SY186 @ SY185 )
| ~ ( ~ ! [SY187: mworld] :
( ~ ( mrel @ SY185 @ SY187 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY187 @ SY188 )
| ( qmltpeq @ SV25 @ SY186 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY187 @ SY189 )
| ( subset @ SV25 @ SY186 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY187 @ SY190 )
| ( subset @ SY186 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY191: mworld] :
( ~ ( mrel @ SY185 @ SY191 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY191 @ SY192 )
| ( subset @ SV25 @ SY186 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY191 @ SY193 )
| ( subset @ SY186 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY191 @ SY194 )
| ( qmltpeq @ SV25 @ SY186 @ SY194 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV8: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV8 )
| ! [SY195: mworld] :
( ~ ( mrel @ SV8 @ SY195 )
| ( subset @ SV26 @ SV26 @ SY195 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV9: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV9 )
| ! [SY196: mworld] :
( ~ ( mrel @ SV9 @ SY196 )
| ! [SY197: $i] :
( ~ ( eiw_di @ SY197 @ SY196 )
| ~ ( ~ ! [SY198: mworld] :
( ~ ( mrel @ SY196 @ SY198 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY198 @ SY199 )
| ( subset @ SV27 @ SY197 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY198 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY197 @ SX8 ) ) ) ) ) )
| ~ ! [SY205: mworld] :
( ~ ( mrel @ SY196 @ SY205 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY205 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY197 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY205 @ SY211 )
| ( subset @ SV27 @ SY197 @ SY211 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV10: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV10 )
| ! [SY212: mworld] :
( ~ ( mrel @ SV10 @ SY212 )
| ! [SY213: $i] :
( ~ ( eiw_di @ SY213 @ SY212 )
| ! [SY214: mworld] :
( ~ ( mrel @ SY212 @ SY214 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY214 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY214 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY213 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY213 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV11: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV11 )
| ! [SY220: mworld] :
( ~ ( mrel @ SV11 @ SY220 )
| ! [SY221: $i] :
( ~ ( eiw_di @ SY221 @ SY220 )
| ! [SY222: mworld] :
( ~ ( mrel @ SY220 @ SY222 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY222 @ SY223 )
| ( subset @ SV29 @ SY221 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY222 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY221 ) @ SY221 @ SY224 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(128,plain,
! [SV12: mworld,SV30: $i] :
( ( ( ~ ( eiw_di @ SV30 @ SV12 )
| ! [SY225: mworld] :
( ~ ( mrel @ SV12 @ SY225 )
| ! [SY226: $i] :
( ~ ( eiw_di @ SY226 @ SY225 )
| ! [SY227: mworld] :
( ~ ( mrel @ SY225 @ SY227 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY227 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY227 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY226 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY226 @ SY228 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(129,plain,
( ( mrel @ mactual @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(130,plain,
( ( ~ ( eiw_di @ sK3_SY148 @ sK2_SX0 )
| ! [SY233: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY233 )
| ( qmltpeq @ ( union @ sK3_SY148 @ sK3_SY148 ) @ sK3_SY148 @ SY233 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(131,plain,
! [SV13: mworld,SV31: $i] :
( ( ( ~ ( eiw_di @ SV31 @ SV13 )
| ! [SY234: mworld] :
( ~ ( mrel @ SV13 @ SY234 )
| ( qmltpeq @ SV31 @ SV31 @ SY234 ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(132,plain,
! [SV14: mworld,SV32: $i] :
( ( ( ~ ( eiw_di @ SV32 @ SV14 )
| ! [SY235: mworld] :
( ~ ( mrel @ SV14 @ SY235 )
| ! [SY236: $i] :
( ~ ( eiw_di @ SY236 @ SY235 )
| ! [SY237: mworld] :
( ~ ( mrel @ SY235 @ SY237 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY237 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY237 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY236 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY236 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(133,plain,
! [SV15: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV15 )
| ! [SY243: mworld] :
( ~ ( mrel @ SV15 @ SY243 )
| ! [SY244: $i] :
( ~ ( eiw_di @ SY244 @ SY243 )
| ! [SY245: mworld] :
( ~ ( mrel @ SY243 @ SY245 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY245 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY245 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY244 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY244 @ SY246 ) @ SY249 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(134,plain,
! [SV16: mworld,SV34: $i] :
( ( ( ~ ( eiw_di @ SV34 @ SV16 )
| ! [SY250: mworld] :
( ~ ( mrel @ SV16 @ SY250 )
| ! [SY251: $i] :
( ~ ( eiw_di @ SY251 @ SY250 )
| ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY252 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY252 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY252 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY261 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(135,plain,
! [SV17: mworld,SV35: $i] :
( ( ( ~ ( eiw_di @ SV35 @ SV17 )
| ! [SY262: mworld] :
( ~ ( mrel @ SV17 @ SY262 )
| ! [SY263: $i] :
( ~ ( eiw_di @ SY263 @ SY262 )
| ! [SY264: mworld] :
( ~ ( mrel @ SY262 @ SY264 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY264 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY264 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY263 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY263 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(136,plain,
! [SV18: mworld,SV36: $i] :
( ( ( ~ ( eiw_di @ SV36 @ SV18 )
| ! [SY270: mworld] :
( ~ ( mrel @ SV18 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ( qmltpeq @ ( union @ SV36 @ SY271 ) @ ( union @ SY271 @ SV36 ) @ SY272 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(137,plain,
! [SV19: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV19 )
| ! [SY273: mworld] :
( ~ ( mrel @ SV19 @ SY273 )
| ! [SY274: $i] :
( ~ ( eiw_di @ SY274 @ SY273 )
| ! [SY275: mworld] :
( ~ ( mrel @ SY273 @ SY275 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY275 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY275 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY274 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY274 ) @ SY279 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(138,plain,
! [SV21: mworld,SV20: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV20 ) )
= $true )
| ( ( ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV2 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(139,plain,
! [SV4: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV4 ) )
= $true )
| ( ( ! [SY150: mworld] :
( ~ ( mrel @ SV4 @ SY150 )
| ! [SY151: $i] :
( ~ ( eiw_di @ SY151 @ SY150 )
| ~ ( ~ ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY152 @ SY153 )
| ( qmltpeq @ SV22 @ SY151 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY152 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY150 @ SY162 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY162 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY162 @ SY171 )
| ( qmltpeq @ SV22 @ SY151 @ SY171 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(140,plain,
! [SV5: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV5 ) )
= $true )
| ( ( ! [SY172: mworld] :
( ~ ( mrel @ SV5 @ SY172 )
| ! [SY173: $i] :
( ~ ( eiw_di @ SY173 @ SY172 )
| ! [SY174: mworld] :
( ~ ( mrel @ SY172 @ SY174 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY174 @ SY175 )
| ( qmltpeq @ SV23 @ SY173 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY174 @ SY176 )
| ( qmltpeq @ SY173 @ SV23 @ SY176 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(141,plain,
! [SV6: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV6 ) )
= $true )
| ( ( ! [SY177: mworld] :
( ~ ( mrel @ SV6 @ SY177 )
| ! [SY178: $i] :
( ~ ( eiw_di @ SY178 @ SY177 )
| ! [SY179: mworld] :
( ~ ( mrel @ SY177 @ SY179 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY179 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY179 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY178 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY178 @ SY180 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(142,plain,
! [SV7: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV7 ) )
= $true )
| ( ( ! [SY185: mworld] :
( ~ ( mrel @ SV7 @ SY185 )
| ! [SY186: $i] :
( ~ ( eiw_di @ SY186 @ SY185 )
| ~ ( ~ ! [SY187: mworld] :
( ~ ( mrel @ SY185 @ SY187 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY187 @ SY188 )
| ( qmltpeq @ SV25 @ SY186 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY187 @ SY189 )
| ( subset @ SV25 @ SY186 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY187 @ SY190 )
| ( subset @ SY186 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY191: mworld] :
( ~ ( mrel @ SY185 @ SY191 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY191 @ SY192 )
| ( subset @ SV25 @ SY186 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY191 @ SY193 )
| ( subset @ SY186 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY191 @ SY194 )
| ( qmltpeq @ SV25 @ SY186 @ SY194 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(143,plain,
! [SV8: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV8 ) )
= $true )
| ( ( ! [SY195: mworld] :
( ~ ( mrel @ SV8 @ SY195 )
| ( subset @ SV26 @ SV26 @ SY195 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(144,plain,
! [SV9: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV9 ) )
= $true )
| ( ( ! [SY196: mworld] :
( ~ ( mrel @ SV9 @ SY196 )
| ! [SY197: $i] :
( ~ ( eiw_di @ SY197 @ SY196 )
| ~ ( ~ ! [SY198: mworld] :
( ~ ( mrel @ SY196 @ SY198 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY198 @ SY199 )
| ( subset @ SV27 @ SY197 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY198 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY197 @ SX8 ) ) ) ) ) )
| ~ ! [SY205: mworld] :
( ~ ( mrel @ SY196 @ SY205 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY205 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY197 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY205 @ SY211 )
| ( subset @ SV27 @ SY197 @ SY211 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(145,plain,
! [SV10: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV10 ) )
= $true )
| ( ( ! [SY212: mworld] :
( ~ ( mrel @ SV10 @ SY212 )
| ! [SY213: $i] :
( ~ ( eiw_di @ SY213 @ SY212 )
| ! [SY214: mworld] :
( ~ ( mrel @ SY212 @ SY214 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY214 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY214 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY213 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY213 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(146,plain,
! [SV11: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV11 ) )
= $true )
| ( ( ! [SY220: mworld] :
( ~ ( mrel @ SV11 @ SY220 )
| ! [SY221: $i] :
( ~ ( eiw_di @ SY221 @ SY220 )
| ! [SY222: mworld] :
( ~ ( mrel @ SY220 @ SY222 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY222 @ SY223 )
| ( subset @ SV29 @ SY221 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY222 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY221 ) @ SY221 @ SY224 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(147,plain,
! [SV12: mworld,SV30: $i] :
( ( ( ~ ( eiw_di @ SV30 @ SV12 ) )
= $true )
| ( ( ! [SY225: mworld] :
( ~ ( mrel @ SV12 @ SY225 )
| ! [SY226: $i] :
( ~ ( eiw_di @ SY226 @ SY225 )
| ! [SY227: mworld] :
( ~ ( mrel @ SY225 @ SY227 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY227 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY227 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY226 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY226 @ SY228 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(148,plain,
( ( ~ ( eiw_di @ sK3_SY148 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(149,plain,
( ( ! [SY233: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY233 )
| ( qmltpeq @ ( union @ sK3_SY148 @ sK3_SY148 ) @ sK3_SY148 @ SY233 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(150,plain,
! [SV13: mworld,SV31: $i] :
( ( ( ~ ( eiw_di @ SV31 @ SV13 ) )
= $true )
| ( ( ! [SY234: mworld] :
( ~ ( mrel @ SV13 @ SY234 )
| ( qmltpeq @ SV31 @ SV31 @ SY234 ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(151,plain,
! [SV14: mworld,SV32: $i] :
( ( ( ~ ( eiw_di @ SV32 @ SV14 ) )
= $true )
| ( ( ! [SY235: mworld] :
( ~ ( mrel @ SV14 @ SY235 )
| ! [SY236: $i] :
( ~ ( eiw_di @ SY236 @ SY235 )
| ! [SY237: mworld] :
( ~ ( mrel @ SY235 @ SY237 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY237 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY237 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY236 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY236 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(152,plain,
! [SV15: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV15 ) )
= $true )
| ( ( ! [SY243: mworld] :
( ~ ( mrel @ SV15 @ SY243 )
| ! [SY244: $i] :
( ~ ( eiw_di @ SY244 @ SY243 )
| ! [SY245: mworld] :
( ~ ( mrel @ SY243 @ SY245 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY245 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY245 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY244 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY244 @ SY246 ) @ SY249 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(153,plain,
! [SV16: mworld,SV34: $i] :
( ( ( ~ ( eiw_di @ SV34 @ SV16 ) )
= $true )
| ( ( ! [SY250: mworld] :
( ~ ( mrel @ SV16 @ SY250 )
| ! [SY251: $i] :
( ~ ( eiw_di @ SY251 @ SY250 )
| ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY252 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY252 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY252 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY261 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(154,plain,
! [SV17: mworld,SV35: $i] :
( ( ( ~ ( eiw_di @ SV35 @ SV17 ) )
= $true )
| ( ( ! [SY262: mworld] :
( ~ ( mrel @ SV17 @ SY262 )
| ! [SY263: $i] :
( ~ ( eiw_di @ SY263 @ SY262 )
| ! [SY264: mworld] :
( ~ ( mrel @ SY262 @ SY264 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY264 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY264 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY263 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY263 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(155,plain,
! [SV18: mworld,SV36: $i] :
( ( ( ~ ( eiw_di @ SV36 @ SV18 ) )
= $true )
| ( ( ! [SY270: mworld] :
( ~ ( mrel @ SV18 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ( qmltpeq @ ( union @ SV36 @ SY271 ) @ ( union @ SY271 @ SV36 ) @ SY272 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(156,plain,
! [SV19: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV19 ) )
= $true )
| ( ( ! [SY273: mworld] :
( ~ ( mrel @ SV19 @ SY273 )
| ! [SY274: $i] :
( ~ ( eiw_di @ SY274 @ SY273 )
| ! [SY275: mworld] :
( ~ ( mrel @ SY273 @ SY275 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY275 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY275 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY274 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY274 ) @ SY279 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(157,plain,
! [SV21: mworld,SV20: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV20 )
= $false )
| ( ( ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV2 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(158,plain,
! [SV4: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( ! [SY150: mworld] :
( ~ ( mrel @ SV4 @ SY150 )
| ! [SY151: $i] :
( ~ ( eiw_di @ SY151 @ SY150 )
| ~ ( ~ ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY152 @ SY153 )
| ( qmltpeq @ SV22 @ SY151 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY152 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY151 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY150 @ SY162 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY162 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY151 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY162 @ SY171 )
| ( qmltpeq @ SV22 @ SY151 @ SY171 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(159,plain,
! [SV5: mworld,SV23: $i] :
( ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( ! [SY172: mworld] :
( ~ ( mrel @ SV5 @ SY172 )
| ! [SY173: $i] :
( ~ ( eiw_di @ SY173 @ SY172 )
| ! [SY174: mworld] :
( ~ ( mrel @ SY172 @ SY174 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY174 @ SY175 )
| ( qmltpeq @ SV23 @ SY173 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY174 @ SY176 )
| ( qmltpeq @ SY173 @ SV23 @ SY176 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(160,plain,
! [SV6: mworld,SV24: $i] :
( ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( ! [SY177: mworld] :
( ~ ( mrel @ SV6 @ SY177 )
| ! [SY178: $i] :
( ~ ( eiw_di @ SY178 @ SY177 )
| ! [SY179: mworld] :
( ~ ( mrel @ SY177 @ SY179 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY179 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY179 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY178 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY178 @ SY180 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(161,plain,
! [SV7: mworld,SV25: $i] :
( ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( ! [SY185: mworld] :
( ~ ( mrel @ SV7 @ SY185 )
| ! [SY186: $i] :
( ~ ( eiw_di @ SY186 @ SY185 )
| ~ ( ~ ! [SY187: mworld] :
( ~ ( mrel @ SY185 @ SY187 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY187 @ SY188 )
| ( qmltpeq @ SV25 @ SY186 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY187 @ SY189 )
| ( subset @ SV25 @ SY186 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY187 @ SY190 )
| ( subset @ SY186 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY191: mworld] :
( ~ ( mrel @ SY185 @ SY191 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY191 @ SY192 )
| ( subset @ SV25 @ SY186 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY191 @ SY193 )
| ( subset @ SY186 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY191 @ SY194 )
| ( qmltpeq @ SV25 @ SY186 @ SY194 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(162,plain,
! [SV8: mworld,SV26: $i] :
( ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( ! [SY195: mworld] :
( ~ ( mrel @ SV8 @ SY195 )
| ( subset @ SV26 @ SV26 @ SY195 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(163,plain,
! [SV9: mworld,SV27: $i] :
( ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( ! [SY196: mworld] :
( ~ ( mrel @ SV9 @ SY196 )
| ! [SY197: $i] :
( ~ ( eiw_di @ SY197 @ SY196 )
| ~ ( ~ ! [SY198: mworld] :
( ~ ( mrel @ SY196 @ SY198 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY198 @ SY199 )
| ( subset @ SV27 @ SY197 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY198 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY197 @ SX8 ) ) ) ) ) )
| ~ ! [SY205: mworld] :
( ~ ( mrel @ SY196 @ SY205 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY205 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY197 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY205 @ SY211 )
| ( subset @ SV27 @ SY197 @ SY211 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(164,plain,
! [SV10: mworld,SV28: $i] :
( ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( ! [SY212: mworld] :
( ~ ( mrel @ SV10 @ SY212 )
| ! [SY213: $i] :
( ~ ( eiw_di @ SY213 @ SY212 )
| ! [SY214: mworld] :
( ~ ( mrel @ SY212 @ SY214 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY214 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY214 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY213 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY213 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(165,plain,
! [SV11: mworld,SV29: $i] :
( ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( ! [SY220: mworld] :
( ~ ( mrel @ SV11 @ SY220 )
| ! [SY221: $i] :
( ~ ( eiw_di @ SY221 @ SY220 )
| ! [SY222: mworld] :
( ~ ( mrel @ SY220 @ SY222 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY222 @ SY223 )
| ( subset @ SV29 @ SY221 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY222 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY221 ) @ SY221 @ SY224 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(166,plain,
! [SV12: mworld,SV30: $i] :
( ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( ! [SY225: mworld] :
( ~ ( mrel @ SV12 @ SY225 )
| ! [SY226: $i] :
( ~ ( eiw_di @ SY226 @ SY225 )
| ! [SY227: mworld] :
( ~ ( mrel @ SY225 @ SY227 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY227 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY227 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY226 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY226 @ SY228 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(167,plain,
( ( eiw_di @ sK3_SY148 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(168,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK4_SY233 )
| ( qmltpeq @ ( union @ sK3_SY148 @ sK3_SY148 ) @ sK3_SY148 @ sK4_SY233 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[149]) ).
thf(169,plain,
! [SV13: mworld,SV31: $i] :
( ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( ! [SY234: mworld] :
( ~ ( mrel @ SV13 @ SY234 )
| ( qmltpeq @ SV31 @ SV31 @ SY234 ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(170,plain,
! [SV14: mworld,SV32: $i] :
( ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( ! [SY235: mworld] :
( ~ ( mrel @ SV14 @ SY235 )
| ! [SY236: $i] :
( ~ ( eiw_di @ SY236 @ SY235 )
| ! [SY237: mworld] :
( ~ ( mrel @ SY235 @ SY237 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY237 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY237 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY236 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY236 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(171,plain,
! [SV15: mworld,SV33: $i] :
( ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( ! [SY243: mworld] :
( ~ ( mrel @ SV15 @ SY243 )
| ! [SY244: $i] :
( ~ ( eiw_di @ SY244 @ SY243 )
| ! [SY245: mworld] :
( ~ ( mrel @ SY243 @ SY245 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY245 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY245 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY244 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY244 @ SY246 ) @ SY249 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(172,plain,
! [SV16: mworld,SV34: $i] :
( ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( ! [SY250: mworld] :
( ~ ( mrel @ SV16 @ SY250 )
| ! [SY251: $i] :
( ~ ( eiw_di @ SY251 @ SY250 )
| ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY252 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY252 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY252 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY251 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY251 ) @ SY261 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(173,plain,
! [SV17: mworld,SV35: $i] :
( ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( ! [SY262: mworld] :
( ~ ( mrel @ SV17 @ SY262 )
| ! [SY263: $i] :
( ~ ( eiw_di @ SY263 @ SY262 )
| ! [SY264: mworld] :
( ~ ( mrel @ SY262 @ SY264 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY264 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY264 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY263 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY263 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(174,plain,
! [SV18: mworld,SV36: $i] :
( ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( ! [SY270: mworld] :
( ~ ( mrel @ SV18 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ( qmltpeq @ ( union @ SV36 @ SY271 ) @ ( union @ SY271 @ SV36 ) @ SY272 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(175,plain,
! [SV19: mworld,SV37: $i] :
( ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( ! [SY273: mworld] :
( ~ ( mrel @ SV19 @ SY273 )
| ! [SY274: $i] :
( ~ ( eiw_di @ SY274 @ SY273 )
| ! [SY275: mworld] :
( ~ ( mrel @ SY273 @ SY275 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY275 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY275 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY274 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY274 ) @ SY279 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(176,plain,
! [SV2: mworld,SV21: mworld,SV20: mworld] :
( ( ( mrel @ SV20 @ SV21 )
= $false )
| ( ( mrel @ SV2 @ SV20 )
= $false )
| ( ( mrel @ SV2 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(177,plain,
! [SV22: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV38 )
| ! [SY280: $i] :
( ~ ( eiw_di @ SY280 @ SV38 )
| ~ ( ~ ! [SY281: mworld] :
( ~ ( mrel @ SV38 @ SY281 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY281 @ SY153 )
| ( qmltpeq @ SV22 @ SY280 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY281 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY291: mworld] :
( ~ ( mrel @ SV38 @ SY291 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY291 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY291 @ SY171 )
| ( qmltpeq @ SV22 @ SY280 @ SY171 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(178,plain,
! [SV23: $i,SV39: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV39 )
| ! [SY301: $i] :
( ~ ( eiw_di @ SY301 @ SV39 )
| ! [SY302: mworld] :
( ~ ( mrel @ SV39 @ SY302 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY302 @ SY175 )
| ( qmltpeq @ SV23 @ SY301 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY302 @ SY176 )
| ( qmltpeq @ SY301 @ SV23 @ SY176 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(179,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV40 )
| ! [SY305: $i] :
( ~ ( eiw_di @ SY305 @ SV40 )
| ! [SY306: mworld] :
( ~ ( mrel @ SV40 @ SY306 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY306 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY306 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY305 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY305 @ SY180 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(180,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV41 )
| ! [SY312: $i] :
( ~ ( eiw_di @ SY312 @ SV41 )
| ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV41 @ SY313 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY313 @ SY188 )
| ( qmltpeq @ SV25 @ SY312 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY313 @ SY189 )
| ( subset @ SV25 @ SY312 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY313 @ SY190 )
| ( subset @ SY312 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY317: mworld] :
( ~ ( mrel @ SV41 @ SY317 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY317 @ SY192 )
| ( subset @ SV25 @ SY312 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY317 @ SY193 )
| ( subset @ SY312 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY317 @ SY194 )
| ( qmltpeq @ SV25 @ SY312 @ SY194 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(181,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV42 )
| ( subset @ SV26 @ SV26 @ SV42 ) )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(182,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV43 )
| ! [SY321: $i] :
( ~ ( eiw_di @ SY321 @ SV43 )
| ~ ( ~ ! [SY322: mworld] :
( ~ ( mrel @ SV43 @ SY322 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY322 @ SY199 )
| ( subset @ SV27 @ SY321 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY322 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY321 @ SX8 ) ) ) ) ) )
| ~ ! [SY329: mworld] :
( ~ ( mrel @ SV43 @ SY329 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY329 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY321 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY329 @ SY211 )
| ( subset @ SV27 @ SY321 @ SY211 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(183,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV44 )
| ! [SY336: $i] :
( ~ ( eiw_di @ SY336 @ SV44 )
| ! [SY337: mworld] :
( ~ ( mrel @ SV44 @ SY337 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY337 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY337 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY336 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY336 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(184,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV45 )
| ! [SY343: $i] :
( ~ ( eiw_di @ SY343 @ SV45 )
| ! [SY344: mworld] :
( ~ ( mrel @ SV45 @ SY344 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY344 @ SY223 )
| ( subset @ SV29 @ SY343 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY344 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY343 ) @ SY343 @ SY224 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(185,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV46 )
| ! [SY347: $i] :
( ~ ( eiw_di @ SY347 @ SV46 )
| ! [SY348: mworld] :
( ~ ( mrel @ SV46 @ SY348 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY348 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY348 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY347 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY347 @ SY228 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(186,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK4_SY233 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(187,plain,
( ( qmltpeq @ ( union @ sK3_SY148 @ sK3_SY148 ) @ sK3_SY148 @ sK4_SY233 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(188,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV47 )
| ( qmltpeq @ SV31 @ SV31 @ SV47 ) )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(189,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV48 )
| ! [SY354: $i] :
( ~ ( eiw_di @ SY354 @ SV48 )
| ! [SY355: mworld] :
( ~ ( mrel @ SV48 @ SY355 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY355 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY355 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY354 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY354 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(190,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV49 )
| ! [SY361: $i] :
( ~ ( eiw_di @ SY361 @ SV49 )
| ! [SY362: mworld] :
( ~ ( mrel @ SV49 @ SY362 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY362 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY362 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY361 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY361 @ SY246 ) @ SY249 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(191,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV50 )
| ! [SY367: $i] :
( ~ ( eiw_di @ SY367 @ SV50 )
| ! [SY368: mworld] :
( ~ ( mrel @ SV50 @ SY368 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY368 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY368 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY368 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY261 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(192,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV51 )
| ! [SY378: $i] :
( ~ ( eiw_di @ SY378 @ SV51 )
| ! [SY379: mworld] :
( ~ ( mrel @ SV51 @ SY379 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY379 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY379 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY378 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY378 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(193,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV52 )
| ! [SY385: $i] :
( ~ ( eiw_di @ SY385 @ SV52 )
| ! [SY386: mworld] :
( ~ ( mrel @ SV52 @ SY386 )
| ( qmltpeq @ ( union @ SV36 @ SY385 ) @ ( union @ SY385 @ SV36 ) @ SY386 ) ) ) )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(194,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV53 )
| ! [SY387: $i] :
( ~ ( eiw_di @ SY387 @ SV53 )
| ! [SY388: mworld] :
( ~ ( mrel @ SV53 @ SY388 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY388 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY388 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY387 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY387 ) @ SY279 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(195,plain,
! [SV22: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV38 ) )
= $true )
| ( ( ! [SY280: $i] :
( ~ ( eiw_di @ SY280 @ SV38 )
| ~ ( ~ ! [SY281: mworld] :
( ~ ( mrel @ SV38 @ SY281 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY281 @ SY153 )
| ( qmltpeq @ SV22 @ SY280 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY281 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY291: mworld] :
( ~ ( mrel @ SV38 @ SY291 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY291 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY291 @ SY171 )
| ( qmltpeq @ SV22 @ SY280 @ SY171 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV23: $i,SV39: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV39 ) )
= $true )
| ( ( ! [SY301: $i] :
( ~ ( eiw_di @ SY301 @ SV39 )
| ! [SY302: mworld] :
( ~ ( mrel @ SV39 @ SY302 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY302 @ SY175 )
| ( qmltpeq @ SV23 @ SY301 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY302 @ SY176 )
| ( qmltpeq @ SY301 @ SV23 @ SY176 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV40 ) )
= $true )
| ( ( ! [SY305: $i] :
( ~ ( eiw_di @ SY305 @ SV40 )
| ! [SY306: mworld] :
( ~ ( mrel @ SV40 @ SY306 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY306 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY306 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY305 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY305 @ SY180 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV41 ) )
= $true )
| ( ( ! [SY312: $i] :
( ~ ( eiw_di @ SY312 @ SV41 )
| ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV41 @ SY313 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY313 @ SY188 )
| ( qmltpeq @ SV25 @ SY312 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY313 @ SY189 )
| ( subset @ SV25 @ SY312 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY313 @ SY190 )
| ( subset @ SY312 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY317: mworld] :
( ~ ( mrel @ SV41 @ SY317 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY317 @ SY192 )
| ( subset @ SV25 @ SY312 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY317 @ SY193 )
| ( subset @ SY312 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY317 @ SY194 )
| ( qmltpeq @ SV25 @ SY312 @ SY194 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV42 ) )
= $true )
| ( ( subset @ SV26 @ SV26 @ SV42 )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV43 ) )
= $true )
| ( ( ! [SY321: $i] :
( ~ ( eiw_di @ SY321 @ SV43 )
| ~ ( ~ ! [SY322: mworld] :
( ~ ( mrel @ SV43 @ SY322 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY322 @ SY199 )
| ( subset @ SV27 @ SY321 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY322 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY321 @ SX8 ) ) ) ) ) )
| ~ ! [SY329: mworld] :
( ~ ( mrel @ SV43 @ SY329 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY329 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY321 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY329 @ SY211 )
| ( subset @ SV27 @ SY321 @ SY211 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV44 ) )
= $true )
| ( ( ! [SY336: $i] :
( ~ ( eiw_di @ SY336 @ SV44 )
| ! [SY337: mworld] :
( ~ ( mrel @ SV44 @ SY337 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY337 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY337 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY336 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY336 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV45 ) )
= $true )
| ( ( ! [SY343: $i] :
( ~ ( eiw_di @ SY343 @ SV45 )
| ! [SY344: mworld] :
( ~ ( mrel @ SV45 @ SY344 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY344 @ SY223 )
| ( subset @ SV29 @ SY343 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY344 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY343 ) @ SY343 @ SY224 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV46 ) )
= $true )
| ( ( ! [SY347: $i] :
( ~ ( eiw_di @ SY347 @ SV46 )
| ! [SY348: mworld] :
( ~ ( mrel @ SV46 @ SY348 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY348 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY348 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY347 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY347 @ SY228 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(204,plain,
( ( mrel @ sK2_SX0 @ sK4_SY233 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(205,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV47 ) )
= $true )
| ( ( qmltpeq @ SV31 @ SV31 @ SV47 )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV48 ) )
= $true )
| ( ( ! [SY354: $i] :
( ~ ( eiw_di @ SY354 @ SV48 )
| ! [SY355: mworld] :
( ~ ( mrel @ SV48 @ SY355 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY355 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY355 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY354 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY354 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV49 ) )
= $true )
| ( ( ! [SY361: $i] :
( ~ ( eiw_di @ SY361 @ SV49 )
| ! [SY362: mworld] :
( ~ ( mrel @ SV49 @ SY362 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY362 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY362 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY361 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY361 @ SY246 ) @ SY249 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(208,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV50 ) )
= $true )
| ( ( ! [SY367: $i] :
( ~ ( eiw_di @ SY367 @ SV50 )
| ! [SY368: mworld] :
( ~ ( mrel @ SV50 @ SY368 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY368 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY368 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY368 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY261 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(209,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV51 ) )
= $true )
| ( ( ! [SY378: $i] :
( ~ ( eiw_di @ SY378 @ SV51 )
| ! [SY379: mworld] :
( ~ ( mrel @ SV51 @ SY379 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY379 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY379 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY378 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY378 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(210,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV52 ) )
= $true )
| ( ( ! [SY385: $i] :
( ~ ( eiw_di @ SY385 @ SV52 )
| ! [SY386: mworld] :
( ~ ( mrel @ SV52 @ SY386 )
| ( qmltpeq @ ( union @ SV36 @ SY385 ) @ ( union @ SY385 @ SV36 ) @ SY386 ) ) ) )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(211,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV53 ) )
= $true )
| ( ( ! [SY387: $i] :
( ~ ( eiw_di @ SY387 @ SV53 )
| ! [SY388: mworld] :
( ~ ( mrel @ SV53 @ SY388 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY388 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY388 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY387 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY387 ) @ SY279 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV22: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( ! [SY280: $i] :
( ~ ( eiw_di @ SY280 @ SV38 )
| ~ ( ~ ! [SY281: mworld] :
( ~ ( mrel @ SV38 @ SY281 )
| ~ ! [SY153: mworld] :
( ~ ( mrel @ SY281 @ SY153 )
| ( qmltpeq @ SV22 @ SY280 @ SY153 ) )
| ! [SY154: mworld] :
( ~ ( mrel @ SY281 @ SY154 )
| ! [SY155: $i] :
( ~ ( eiw_di @ SY155 @ SY154 )
| ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY154 @ SY156 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY156 @ SY157 )
| ( member @ SY155 @ SV22 @ SY157 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY156 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) ) )
| ~ ! [SY159: mworld] :
( ~ ( mrel @ SY154 @ SY159 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY159 @ SX8 )
| ( member @ SY155 @ SY280 @ SX8 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ( member @ SY155 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY291: mworld] :
( ~ ( mrel @ SV38 @ SY291 )
| ~ ! [SY163: mworld] :
( ~ ( mrel @ SY291 @ SY163 )
| ! [SY164: $i] :
( ~ ( eiw_di @ SY164 @ SY163 )
| ~ ( ~ ! [SY165: mworld] :
( ~ ( mrel @ SY163 @ SY165 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY165 @ SY166 )
| ( member @ SY164 @ SV22 @ SY166 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY165 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) ) )
| ~ ! [SY168: mworld] :
( ~ ( mrel @ SY163 @ SY168 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY168 @ SX8 )
| ( member @ SY164 @ SY280 @ SX8 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( member @ SY164 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY171: mworld] :
( ~ ( mrel @ SY291 @ SY171 )
| ( qmltpeq @ SV22 @ SY280 @ SY171 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(213,plain,
! [SV23: $i,SV39: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( ! [SY301: $i] :
( ~ ( eiw_di @ SY301 @ SV39 )
| ! [SY302: mworld] :
( ~ ( mrel @ SV39 @ SY302 )
| ~ ! [SY175: mworld] :
( ~ ( mrel @ SY302 @ SY175 )
| ( qmltpeq @ SV23 @ SY301 @ SY175 ) )
| ! [SY176: mworld] :
( ~ ( mrel @ SY302 @ SY176 )
| ( qmltpeq @ SY301 @ SV23 @ SY176 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(214,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( ! [SY305: $i] :
( ~ ( eiw_di @ SY305 @ SV40 )
| ! [SY306: mworld] :
( ~ ( mrel @ SV40 @ SY306 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SY306 )
| ! [SY181: mworld] :
( ~ ( mrel @ SY306 @ SY181 )
| ~ ~ ( ~ ! [SY182: mworld] :
( ~ ( mrel @ SY181 @ SY182 )
| ( qmltpeq @ SV24 @ SY305 @ SY182 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY181 @ SY183 )
| ( subset @ SV24 @ SY180 @ SY183 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY181 @ SX7 )
| ( subset @ SY305 @ SY180 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(215,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( ! [SY312: $i] :
( ~ ( eiw_di @ SY312 @ SV41 )
| ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV41 @ SY313 )
| ~ ! [SY188: mworld] :
( ~ ( mrel @ SY313 @ SY188 )
| ( qmltpeq @ SV25 @ SY312 @ SY188 ) )
| ~ ( ~ ! [SY189: mworld] :
( ~ ( mrel @ SY313 @ SY189 )
| ( subset @ SV25 @ SY312 @ SY189 ) )
| ~ ! [SY190: mworld] :
( ~ ( mrel @ SY313 @ SY190 )
| ( subset @ SY312 @ SV25 @ SY190 ) ) ) )
| ~ ! [SY317: mworld] :
( ~ ( mrel @ SV41 @ SY317 )
| ~ ~ ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SY317 @ SY192 )
| ( subset @ SV25 @ SY312 @ SY192 ) )
| ~ ! [SY193: mworld] :
( ~ ( mrel @ SY317 @ SY193 )
| ( subset @ SY312 @ SV25 @ SY193 ) ) )
| ! [SY194: mworld] :
( ~ ( mrel @ SY317 @ SY194 )
| ( qmltpeq @ SV25 @ SY312 @ SY194 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(216,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( subset @ SV26 @ SV26 @ SV42 )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( ! [SY321: $i] :
( ~ ( eiw_di @ SY321 @ SV43 )
| ~ ( ~ ! [SY322: mworld] :
( ~ ( mrel @ SV43 @ SY322 )
| ~ ! [SY199: mworld] :
( ~ ( mrel @ SY322 @ SY199 )
| ( subset @ SV27 @ SY321 @ SY199 ) )
| ! [SY200: mworld] :
( ~ ( mrel @ SY322 @ SY200 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SY200 )
| ! [SY202: mworld] :
( ~ ( mrel @ SY200 @ SY202 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY202 @ SY203 )
| ( member @ SY201 @ SV27 @ SY203 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY202 @ SX8 )
| ( member @ SY201 @ SY321 @ SX8 ) ) ) ) ) )
| ~ ! [SY329: mworld] :
( ~ ( mrel @ SV43 @ SY329 )
| ~ ! [SY206: mworld] :
( ~ ( mrel @ SY329 @ SY206 )
| ! [SY207: $i] :
( ~ ( eiw_di @ SY207 @ SY206 )
| ! [SY208: mworld] :
( ~ ( mrel @ SY206 @ SY208 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY208 @ SY209 )
| ( member @ SY207 @ SV27 @ SY209 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY208 @ SX8 )
| ( member @ SY207 @ SY321 @ SX8 ) ) ) ) )
| ! [SY211: mworld] :
( ~ ( mrel @ SY329 @ SY211 )
| ( subset @ SV27 @ SY321 @ SY211 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(218,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( ! [SY336: $i] :
( ~ ( eiw_di @ SY336 @ SV44 )
| ! [SY337: mworld] :
( ~ ( mrel @ SV44 @ SY337 )
| ! [SY215: $i] :
( ~ ( eiw_di @ SY215 @ SY337 )
| ! [SY216: mworld] :
( ~ ( mrel @ SY337 @ SY216 )
| ~ ~ ( ~ ! [SY217: mworld] :
( ~ ( mrel @ SY216 @ SY217 )
| ( qmltpeq @ SV28 @ SY336 @ SY217 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY216 @ SY218 )
| ( subset @ SY215 @ SV28 @ SY218 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY216 @ SX7 )
| ( subset @ SY215 @ SY336 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( ! [SY343: $i] :
( ~ ( eiw_di @ SY343 @ SV45 )
| ! [SY344: mworld] :
( ~ ( mrel @ SV45 @ SY344 )
| ~ ! [SY223: mworld] :
( ~ ( mrel @ SY344 @ SY223 )
| ( subset @ SV29 @ SY343 @ SY223 ) )
| ! [SY224: mworld] :
( ~ ( mrel @ SY344 @ SY224 )
| ( qmltpeq @ ( union @ SV29 @ SY343 ) @ SY343 @ SY224 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( ! [SY347: $i] :
( ~ ( eiw_di @ SY347 @ SV46 )
| ! [SY348: mworld] :
( ~ ( mrel @ SV46 @ SY348 )
| ! [SY228: $i] :
( ~ ( eiw_di @ SY228 @ SY348 )
| ! [SY229: mworld] :
( ~ ( mrel @ SY348 @ SY229 )
| ~ ~ ( ~ ! [SY230: mworld] :
( ~ ( mrel @ SY229 @ SY230 )
| ( qmltpeq @ SV30 @ SY347 @ SY230 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY229 @ SY231 )
| ( member @ SV30 @ SY228 @ SY231 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY229 @ SX7 )
| ( member @ SY347 @ SY228 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( qmltpeq @ SV31 @ SV31 @ SV47 )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(222,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( ! [SY354: $i] :
( ~ ( eiw_di @ SY354 @ SV48 )
| ! [SY355: mworld] :
( ~ ( mrel @ SV48 @ SY355 )
| ! [SY238: $i] :
( ~ ( eiw_di @ SY238 @ SY355 )
| ! [SY239: mworld] :
( ~ ( mrel @ SY355 @ SY239 )
| ~ ~ ( ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV32 @ SY354 @ SY240 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( member @ SY238 @ SV32 @ SY241 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY239 @ SX7 )
| ( member @ SY238 @ SY354 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(223,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( ! [SY361: $i] :
( ~ ( eiw_di @ SY361 @ SV49 )
| ! [SY362: mworld] :
( ~ ( mrel @ SV49 @ SY362 )
| ! [SY246: $i] :
( ~ ( eiw_di @ SY246 @ SY362 )
| ! [SY247: mworld] :
( ~ ( mrel @ SY362 @ SY247 )
| ~ ! [SY248: mworld] :
( ~ ( mrel @ SY247 @ SY248 )
| ( qmltpeq @ SV33 @ SY361 @ SY248 ) )
| ! [SY249: mworld] :
( ~ ( mrel @ SY247 @ SY249 )
| ( qmltpeq @ ( union @ SV33 @ SY246 ) @ ( union @ SY361 @ SY246 ) @ SY249 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(224,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( ! [SY367: $i] :
( ~ ( eiw_di @ SY367 @ SV50 )
| ! [SY368: mworld] :
( ~ ( mrel @ SV50 @ SY368 )
| ! [SY253: $i] :
( ~ ( eiw_di @ SY253 @ SY368 )
| ~ ( ~ ! [SY254: mworld] :
( ~ ( mrel @ SY368 @ SY254 )
| ~ ! [SY255: mworld] :
( ~ ( mrel @ SY254 @ SY255 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY255 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY254 @ SY256 )
| ( member @ SY253 @ SV34 @ SY256 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY254 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY368 @ SY258 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY258 @ SY259 )
| ( member @ SY253 @ SV34 @ SY259 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY258 @ SX7 )
| ( member @ SY253 @ SY367 @ SX7 ) ) )
| ! [SY261: mworld] :
( ~ ( mrel @ SY258 @ SY261 )
| ( member @ SY253 @ ( union @ SV34 @ SY367 ) @ SY261 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(225,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( ! [SY378: $i] :
( ~ ( eiw_di @ SY378 @ SV51 )
| ! [SY379: mworld] :
( ~ ( mrel @ SV51 @ SY379 )
| ! [SY265: $i] :
( ~ ( eiw_di @ SY265 @ SY379 )
| ! [SY266: mworld] :
( ~ ( mrel @ SY379 @ SY266 )
| ~ ~ ( ~ ! [SY267: mworld] :
( ~ ( mrel @ SY266 @ SY267 )
| ( qmltpeq @ SV35 @ SY378 @ SY267 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY266 @ SX7 )
| ( qmltpeq @ SY378 @ SY265 @ SX7 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY266 @ SY269 )
| ( qmltpeq @ SV35 @ SY265 @ SY269 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(226,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( ! [SY385: $i] :
( ~ ( eiw_di @ SY385 @ SV52 )
| ! [SY386: mworld] :
( ~ ( mrel @ SV52 @ SY386 )
| ( qmltpeq @ ( union @ SV36 @ SY385 ) @ ( union @ SY385 @ SV36 ) @ SY386 ) ) ) )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(227,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( eiw_di @ SY387 @ SV53 )
| ! [SY388: mworld] :
( ~ ( mrel @ SV53 @ SY388 )
| ! [SY276: $i] :
( ~ ( eiw_di @ SY276 @ SY388 )
| ! [SY277: mworld] :
( ~ ( mrel @ SY388 @ SY277 )
| ~ ! [SY278: mworld] :
( ~ ( mrel @ SY277 @ SY278 )
| ( qmltpeq @ SV37 @ SY387 @ SY278 ) )
| ! [SY279: mworld] :
( ~ ( mrel @ SY277 @ SY279 )
| ( qmltpeq @ ( union @ SY276 @ SV37 ) @ ( union @ SY276 @ SY387 ) @ SY279 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(228,plain,
! [SV4: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV38 )
| ~ ( ~ ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(229,plain,
! [SV5: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV39 )
| ! [SY413: mworld] :
( ~ ( mrel @ SV39 @ SY413 )
| ~ ! [SY414: mworld] :
( ~ ( mrel @ SY413 @ SY414 )
| ( qmltpeq @ SV23 @ SV55 @ SY414 ) )
| ! [SY415: mworld] :
( ~ ( mrel @ SY413 @ SY415 )
| ( qmltpeq @ SV55 @ SV23 @ SY415 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(230,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV40 )
| ! [SY416: mworld] :
( ~ ( mrel @ SV40 @ SY416 )
| ! [SY417: $i] :
( ~ ( eiw_di @ SY417 @ SY416 )
| ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY418 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY418 @ SY183 )
| ( subset @ SV24 @ SY417 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY418 @ SY421 )
| ( subset @ SV56 @ SY417 @ SY421 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(231,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( ~ ( eiw_di @ SV57 @ SV41 )
| ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) )
| ~ ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(232,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV58: $i] :
( ( ( ~ ( eiw_di @ SV58 @ SV43 )
| ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
| ~ ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(233,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV59: $i] :
( ( ( ~ ( eiw_di @ SV59 @ SV44 )
| ! [SY444: mworld] :
( ~ ( mrel @ SV44 @ SY444 )
| ! [SY445: $i] :
( ~ ( eiw_di @ SY445 @ SY444 )
| ! [SY446: mworld] :
( ~ ( mrel @ SY444 @ SY446 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY446 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY446 @ SY218 )
| ( subset @ SY445 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY446 @ SY449 )
| ( subset @ SY445 @ SV59 @ SY449 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(234,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV45 )
| ! [SY450: mworld] :
( ~ ( mrel @ SV45 @ SY450 )
| ~ ! [SY451: mworld] :
( ~ ( mrel @ SY450 @ SY451 )
| ( subset @ SV29 @ SV60 @ SY451 ) )
| ! [SY452: mworld] :
( ~ ( mrel @ SY450 @ SY452 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY452 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(235,plain,
! [SV12: mworld,SV30: $i,SV46: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV46 )
| ! [SY453: mworld] :
( ~ ( mrel @ SV46 @ SY453 )
| ! [SY454: $i] :
( ~ ( eiw_di @ SY454 @ SY453 )
| ! [SY455: mworld] :
( ~ ( mrel @ SY453 @ SY455 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY455 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY455 @ SY231 )
| ( member @ SV30 @ SY454 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY455 @ SY458 )
| ( member @ SV61 @ SY454 @ SY458 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(236,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV48 )
| ! [SY459: mworld] :
( ~ ( mrel @ SV48 @ SY459 )
| ! [SY460: $i] :
( ~ ( eiw_di @ SY460 @ SY459 )
| ! [SY461: mworld] :
( ~ ( mrel @ SY459 @ SY461 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY461 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY461 @ SY241 )
| ( member @ SY460 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY461 @ SY464 )
| ( member @ SY460 @ SV62 @ SY464 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(237,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV49 )
| ! [SY465: mworld] :
( ~ ( mrel @ SV49 @ SY465 )
| ! [SY466: $i] :
( ~ ( eiw_di @ SY466 @ SY465 )
| ! [SY467: mworld] :
( ~ ( mrel @ SY465 @ SY467 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY467 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY467 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY466 ) @ ( union @ SV63 @ SY466 ) @ SY469 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(238,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV50 )
| ! [SY470: mworld] :
( ~ ( mrel @ SV50 @ SY470 )
| ! [SY471: $i] :
( ~ ( eiw_di @ SY471 @ SY470 )
| ~ ( ~ ! [SY472: mworld] :
( ~ ( mrel @ SY470 @ SY472 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY472 @ SY473 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY472 @ SY256 )
| ( member @ SY471 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY472 @ SY475 )
| ( member @ SY471 @ SV64 @ SY475 ) ) )
| ~ ! [SY476: mworld] :
( ~ ( mrel @ SY470 @ SY476 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY476 @ SY259 )
| ( member @ SY471 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY476 @ SY478 )
| ( member @ SY471 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY476 @ SY479 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(239,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV65: $i] :
( ( ( ~ ( eiw_di @ SV65 @ SV51 )
| ! [SY480: mworld] :
( ~ ( mrel @ SV51 @ SY480 )
| ! [SY481: $i] :
( ~ ( eiw_di @ SY481 @ SY480 )
| ! [SY482: mworld] :
( ~ ( mrel @ SY480 @ SY482 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY482 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY482 @ SY484 )
| ( qmltpeq @ SV65 @ SY481 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY482 @ SY269 )
| ( qmltpeq @ SV35 @ SY481 @ SY269 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(240,plain,
! [SV18: mworld,SV36: $i,SV52: mworld,SV66: $i] :
( ( ( ~ ( eiw_di @ SV66 @ SV52 )
| ! [SY486: mworld] :
( ~ ( mrel @ SV52 @ SY486 )
| ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SY486 ) ) )
= $true )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(241,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( ~ ( eiw_di @ SV67 @ SV53 )
| ! [SY487: mworld] :
( ~ ( mrel @ SV53 @ SY487 )
| ! [SY488: $i] :
( ~ ( eiw_di @ SY488 @ SY487 )
| ! [SY489: mworld] :
( ~ ( mrel @ SY487 @ SY489 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY489 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY489 @ SY491 )
| ( qmltpeq @ ( union @ SY488 @ SV37 ) @ ( union @ SY488 @ SV67 ) @ SY491 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(242,plain,
! [SV4: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(243,plain,
! [SV5: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV39 ) )
= $true )
| ( ( ! [SY413: mworld] :
( ~ ( mrel @ SV39 @ SY413 )
| ~ ! [SY414: mworld] :
( ~ ( mrel @ SY413 @ SY414 )
| ( qmltpeq @ SV23 @ SV55 @ SY414 ) )
| ! [SY415: mworld] :
( ~ ( mrel @ SY413 @ SY415 )
| ( qmltpeq @ SV55 @ SV23 @ SY415 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(244,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV40 ) )
= $true )
| ( ( ! [SY416: mworld] :
( ~ ( mrel @ SV40 @ SY416 )
| ! [SY417: $i] :
( ~ ( eiw_di @ SY417 @ SY416 )
| ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY418 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY418 @ SY183 )
| ( subset @ SV24 @ SY417 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY418 @ SY421 )
| ( subset @ SV56 @ SY417 @ SY421 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(245,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( ~ ( eiw_di @ SV57 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) )
| ~ ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(246,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV58: $i] :
( ( ( ~ ( eiw_di @ SV58 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
| ~ ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(247,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV59: $i] :
( ( ( ~ ( eiw_di @ SV59 @ SV44 ) )
= $true )
| ( ( ! [SY444: mworld] :
( ~ ( mrel @ SV44 @ SY444 )
| ! [SY445: $i] :
( ~ ( eiw_di @ SY445 @ SY444 )
| ! [SY446: mworld] :
( ~ ( mrel @ SY444 @ SY446 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY446 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY446 @ SY218 )
| ( subset @ SY445 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY446 @ SY449 )
| ( subset @ SY445 @ SV59 @ SY449 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(248,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV45 ) )
= $true )
| ( ( ! [SY450: mworld] :
( ~ ( mrel @ SV45 @ SY450 )
| ~ ! [SY451: mworld] :
( ~ ( mrel @ SY450 @ SY451 )
| ( subset @ SV29 @ SV60 @ SY451 ) )
| ! [SY452: mworld] :
( ~ ( mrel @ SY450 @ SY452 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY452 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(249,plain,
! [SV12: mworld,SV30: $i,SV46: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV46 ) )
= $true )
| ( ( ! [SY453: mworld] :
( ~ ( mrel @ SV46 @ SY453 )
| ! [SY454: $i] :
( ~ ( eiw_di @ SY454 @ SY453 )
| ! [SY455: mworld] :
( ~ ( mrel @ SY453 @ SY455 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY455 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY455 @ SY231 )
| ( member @ SV30 @ SY454 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY455 @ SY458 )
| ( member @ SV61 @ SY454 @ SY458 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(250,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV48 ) )
= $true )
| ( ( ! [SY459: mworld] :
( ~ ( mrel @ SV48 @ SY459 )
| ! [SY460: $i] :
( ~ ( eiw_di @ SY460 @ SY459 )
| ! [SY461: mworld] :
( ~ ( mrel @ SY459 @ SY461 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY461 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY461 @ SY241 )
| ( member @ SY460 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY461 @ SY464 )
| ( member @ SY460 @ SV62 @ SY464 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(251,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV49 ) )
= $true )
| ( ( ! [SY465: mworld] :
( ~ ( mrel @ SV49 @ SY465 )
| ! [SY466: $i] :
( ~ ( eiw_di @ SY466 @ SY465 )
| ! [SY467: mworld] :
( ~ ( mrel @ SY465 @ SY467 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY467 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY467 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY466 ) @ ( union @ SV63 @ SY466 ) @ SY469 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(252,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV50 ) )
= $true )
| ( ( ! [SY470: mworld] :
( ~ ( mrel @ SV50 @ SY470 )
| ! [SY471: $i] :
( ~ ( eiw_di @ SY471 @ SY470 )
| ~ ( ~ ! [SY472: mworld] :
( ~ ( mrel @ SY470 @ SY472 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY472 @ SY473 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY472 @ SY256 )
| ( member @ SY471 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY472 @ SY475 )
| ( member @ SY471 @ SV64 @ SY475 ) ) )
| ~ ! [SY476: mworld] :
( ~ ( mrel @ SY470 @ SY476 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY476 @ SY259 )
| ( member @ SY471 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY476 @ SY478 )
| ( member @ SY471 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY476 @ SY479 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(253,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV65: $i] :
( ( ( ~ ( eiw_di @ SV65 @ SV51 ) )
= $true )
| ( ( ! [SY480: mworld] :
( ~ ( mrel @ SV51 @ SY480 )
| ! [SY481: $i] :
( ~ ( eiw_di @ SY481 @ SY480 )
| ! [SY482: mworld] :
( ~ ( mrel @ SY480 @ SY482 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY482 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY482 @ SY484 )
| ( qmltpeq @ SV65 @ SY481 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY482 @ SY269 )
| ( qmltpeq @ SV35 @ SY481 @ SY269 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(254,plain,
! [SV18: mworld,SV36: $i,SV52: mworld,SV66: $i] :
( ( ( ~ ( eiw_di @ SV66 @ SV52 ) )
= $true )
| ( ( ! [SY486: mworld] :
( ~ ( mrel @ SV52 @ SY486 )
| ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SY486 ) ) )
= $true )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(255,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( ~ ( eiw_di @ SV67 @ SV53 ) )
= $true )
| ( ( ! [SY487: mworld] :
( ~ ( mrel @ SV53 @ SY487 )
| ! [SY488: $i] :
( ~ ( eiw_di @ SY488 @ SY487 )
| ! [SY489: mworld] :
( ~ ( mrel @ SY487 @ SY489 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY489 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY489 @ SY491 )
| ( qmltpeq @ ( union @ SY488 @ SV37 ) @ ( union @ SY488 @ SV67 ) @ SY491 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(256,plain,
! [SV4: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( ~ ( ~ ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(257,plain,
! [SV5: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( ! [SY413: mworld] :
( ~ ( mrel @ SV39 @ SY413 )
| ~ ! [SY414: mworld] :
( ~ ( mrel @ SY413 @ SY414 )
| ( qmltpeq @ SV23 @ SV55 @ SY414 ) )
| ! [SY415: mworld] :
( ~ ( mrel @ SY413 @ SY415 )
| ( qmltpeq @ SV55 @ SV23 @ SY415 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(258,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( ! [SY416: mworld] :
( ~ ( mrel @ SV40 @ SY416 )
| ! [SY417: $i] :
( ~ ( eiw_di @ SY417 @ SY416 )
| ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY418 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY418 @ SY183 )
| ( subset @ SV24 @ SY417 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY418 @ SY421 )
| ( subset @ SV56 @ SY417 @ SY421 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(259,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) )
| ~ ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(260,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV58: $i] :
( ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
| ~ ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(261,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV59: $i] :
( ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( ! [SY444: mworld] :
( ~ ( mrel @ SV44 @ SY444 )
| ! [SY445: $i] :
( ~ ( eiw_di @ SY445 @ SY444 )
| ! [SY446: mworld] :
( ~ ( mrel @ SY444 @ SY446 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY446 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY446 @ SY218 )
| ( subset @ SY445 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY446 @ SY449 )
| ( subset @ SY445 @ SV59 @ SY449 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(262,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV60: $i] :
( ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( ! [SY450: mworld] :
( ~ ( mrel @ SV45 @ SY450 )
| ~ ! [SY451: mworld] :
( ~ ( mrel @ SY450 @ SY451 )
| ( subset @ SV29 @ SV60 @ SY451 ) )
| ! [SY452: mworld] :
( ~ ( mrel @ SY450 @ SY452 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY452 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(263,plain,
! [SV12: mworld,SV30: $i,SV46: mworld,SV61: $i] :
( ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( ! [SY453: mworld] :
( ~ ( mrel @ SV46 @ SY453 )
| ! [SY454: $i] :
( ~ ( eiw_di @ SY454 @ SY453 )
| ! [SY455: mworld] :
( ~ ( mrel @ SY453 @ SY455 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY455 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY455 @ SY231 )
| ( member @ SV30 @ SY454 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY455 @ SY458 )
| ( member @ SV61 @ SY454 @ SY458 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(264,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV62: $i] :
( ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( ! [SY459: mworld] :
( ~ ( mrel @ SV48 @ SY459 )
| ! [SY460: $i] :
( ~ ( eiw_di @ SY460 @ SY459 )
| ! [SY461: mworld] :
( ~ ( mrel @ SY459 @ SY461 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY461 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY461 @ SY241 )
| ( member @ SY460 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY461 @ SY464 )
| ( member @ SY460 @ SV62 @ SY464 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(265,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV63: $i] :
( ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( ! [SY465: mworld] :
( ~ ( mrel @ SV49 @ SY465 )
| ! [SY466: $i] :
( ~ ( eiw_di @ SY466 @ SY465 )
| ! [SY467: mworld] :
( ~ ( mrel @ SY465 @ SY467 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY467 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY467 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY466 ) @ ( union @ SV63 @ SY466 ) @ SY469 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(266,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV64: $i] :
( ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( ! [SY470: mworld] :
( ~ ( mrel @ SV50 @ SY470 )
| ! [SY471: $i] :
( ~ ( eiw_di @ SY471 @ SY470 )
| ~ ( ~ ! [SY472: mworld] :
( ~ ( mrel @ SY470 @ SY472 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY472 @ SY473 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY472 @ SY256 )
| ( member @ SY471 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY472 @ SY475 )
| ( member @ SY471 @ SV64 @ SY475 ) ) )
| ~ ! [SY476: mworld] :
( ~ ( mrel @ SY470 @ SY476 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY476 @ SY259 )
| ( member @ SY471 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY476 @ SY478 )
| ( member @ SY471 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY476 @ SY479 )
| ( member @ SY471 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV65: $i] :
( ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( ! [SY480: mworld] :
( ~ ( mrel @ SV51 @ SY480 )
| ! [SY481: $i] :
( ~ ( eiw_di @ SY481 @ SY480 )
| ! [SY482: mworld] :
( ~ ( mrel @ SY480 @ SY482 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY482 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY482 @ SY484 )
| ( qmltpeq @ SV65 @ SY481 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY482 @ SY269 )
| ( qmltpeq @ SV35 @ SY481 @ SY269 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(268,plain,
! [SV18: mworld,SV36: $i,SV52: mworld,SV66: $i] :
( ( ( eiw_di @ SV66 @ SV52 )
= $false )
| ( ( ! [SY486: mworld] :
( ~ ( mrel @ SV52 @ SY486 )
| ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SY486 ) ) )
= $true )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( ! [SY487: mworld] :
( ~ ( mrel @ SV53 @ SY487 )
| ! [SY488: $i] :
( ~ ( eiw_di @ SY488 @ SY487 )
| ! [SY489: mworld] :
( ~ ( mrel @ SY487 @ SY489 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY489 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY489 @ SY491 )
| ( qmltpeq @ ( union @ SY488 @ SV37 ) @ ( union @ SY488 @ SV67 ) @ SY491 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(270,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
| ~ ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(271,plain,
! [SV5: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV68 )
| ~ ! [SY492: mworld] :
( ~ ( mrel @ SV68 @ SY492 )
| ( qmltpeq @ SV23 @ SV55 @ SY492 ) )
| ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(272,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV69 )
| ! [SY494: $i] :
( ~ ( eiw_di @ SY494 @ SV69 )
| ! [SY495: mworld] :
( ~ ( mrel @ SV69 @ SY495 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY495 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY495 @ SY183 )
| ( subset @ SV24 @ SY494 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY495 @ SY421 )
| ( subset @ SV56 @ SY494 @ SY421 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(273,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV41: mworld] :
( ( ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) )
| ~ ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(274,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
| ~ ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(275,plain,
! [SV10: mworld,SV59: $i,SV28: $i,SV70: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV70 )
| ! [SY499: $i] :
( ~ ( eiw_di @ SY499 @ SV70 )
| ! [SY500: mworld] :
( ~ ( mrel @ SV70 @ SY500 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY500 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY500 @ SY218 )
| ( subset @ SY499 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY500 @ SY449 )
| ( subset @ SY499 @ SV59 @ SY449 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(276,plain,
! [SV11: mworld,SV60: $i,SV29: $i,SV71: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV71 )
| ~ ! [SY504: mworld] :
( ~ ( mrel @ SV71 @ SY504 )
| ( subset @ SV29 @ SV60 @ SY504 ) )
| ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(277,plain,
! [SV12: mworld,SV61: $i,SV30: $i,SV72: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV72 )
| ! [SY506: $i] :
( ~ ( eiw_di @ SY506 @ SV72 )
| ! [SY507: mworld] :
( ~ ( mrel @ SV72 @ SY507 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY507 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY507 @ SY231 )
| ( member @ SV30 @ SY506 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY507 @ SY458 )
| ( member @ SV61 @ SY506 @ SY458 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(278,plain,
! [SV14: mworld,SV62: $i,SV32: $i,SV73: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV73 )
| ! [SY511: $i] :
( ~ ( eiw_di @ SY511 @ SV73 )
| ! [SY512: mworld] :
( ~ ( mrel @ SV73 @ SY512 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY512 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY512 @ SY241 )
| ( member @ SY511 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY512 @ SY464 )
| ( member @ SY511 @ SV62 @ SY464 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV15: mworld,SV63: $i,SV33: $i,SV74: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV74 )
| ! [SY516: $i] :
( ~ ( eiw_di @ SY516 @ SV74 )
| ! [SY517: mworld] :
( ~ ( mrel @ SV74 @ SY517 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY517 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY517 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY516 ) @ ( union @ SV63 @ SY516 ) @ SY469 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(280,plain,
! [SV16: mworld,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV75 )
| ! [SY520: $i] :
( ~ ( eiw_di @ SY520 @ SV75 )
| ~ ( ~ ! [SY521: mworld] :
( ~ ( mrel @ SV75 @ SY521 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY521 @ SY473 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY521 @ SY256 )
| ( member @ SY520 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY521 @ SY475 )
| ( member @ SY520 @ SV64 @ SY475 ) ) )
| ~ ! [SY525: mworld] :
( ~ ( mrel @ SV75 @ SY525 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY525 @ SY259 )
| ( member @ SY520 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY525 @ SY478 )
| ( member @ SY520 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY525 @ SY479 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(281,plain,
! [SV17: mworld,SV65: $i,SV35: $i,SV76: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV76 )
| ! [SY529: $i] :
( ~ ( eiw_di @ SY529 @ SV76 )
| ! [SY530: mworld] :
( ~ ( mrel @ SV76 @ SY530 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY530 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY530 @ SY484 )
| ( qmltpeq @ SV65 @ SY529 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY530 @ SY269 )
| ( qmltpeq @ SV35 @ SY529 @ SY269 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(282,plain,
! [SV18: mworld,SV66: $i,SV36: $i,SV77: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV77 )
| ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SV77 ) )
= $true )
| ( ( eiw_di @ SV66 @ SV52 )
= $false )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(283,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV78 )
| ! [SY534: $i] :
( ~ ( eiw_di @ SY534 @ SV78 )
| ! [SY535: mworld] :
( ~ ( mrel @ SV78 @ SY535 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY535 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY535 @ SY491 )
| ( qmltpeq @ ( union @ SY534 @ SV37 ) @ ( union @ SY534 @ SV67 ) @ SY491 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(284,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(285,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(286,plain,
! [SV5: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV68 ) )
= $true )
| ( ( ~ ! [SY492: mworld] :
( ~ ( mrel @ SV68 @ SY492 )
| ( qmltpeq @ SV23 @ SV55 @ SY492 ) )
| ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(287,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV69 ) )
= $true )
| ( ( ! [SY494: $i] :
( ~ ( eiw_di @ SY494 @ SV69 )
| ! [SY495: mworld] :
( ~ ( mrel @ SV69 @ SY495 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY495 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY495 @ SY183 )
| ( subset @ SV24 @ SY494 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY495 @ SY421 )
| ( subset @ SV56 @ SY494 @ SY421 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(288,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV41: mworld] :
( ( ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(289,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV41: mworld] :
( ( ( ~ ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(290,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(291,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(292,plain,
! [SV10: mworld,SV59: $i,SV28: $i,SV70: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV70 ) )
= $true )
| ( ( ! [SY499: $i] :
( ~ ( eiw_di @ SY499 @ SV70 )
| ! [SY500: mworld] :
( ~ ( mrel @ SV70 @ SY500 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY500 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY500 @ SY218 )
| ( subset @ SY499 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY500 @ SY449 )
| ( subset @ SY499 @ SV59 @ SY449 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(293,plain,
! [SV11: mworld,SV60: $i,SV29: $i,SV71: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV71 ) )
= $true )
| ( ( ~ ! [SY504: mworld] :
( ~ ( mrel @ SV71 @ SY504 )
| ( subset @ SV29 @ SV60 @ SY504 ) )
| ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(294,plain,
! [SV12: mworld,SV61: $i,SV30: $i,SV72: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV72 ) )
= $true )
| ( ( ! [SY506: $i] :
( ~ ( eiw_di @ SY506 @ SV72 )
| ! [SY507: mworld] :
( ~ ( mrel @ SV72 @ SY507 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY507 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY507 @ SY231 )
| ( member @ SV30 @ SY506 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY507 @ SY458 )
| ( member @ SV61 @ SY506 @ SY458 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(295,plain,
! [SV14: mworld,SV62: $i,SV32: $i,SV73: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV73 ) )
= $true )
| ( ( ! [SY511: $i] :
( ~ ( eiw_di @ SY511 @ SV73 )
| ! [SY512: mworld] :
( ~ ( mrel @ SV73 @ SY512 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY512 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY512 @ SY241 )
| ( member @ SY511 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY512 @ SY464 )
| ( member @ SY511 @ SV62 @ SY464 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(296,plain,
! [SV15: mworld,SV63: $i,SV33: $i,SV74: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV74 ) )
= $true )
| ( ( ! [SY516: $i] :
( ~ ( eiw_di @ SY516 @ SV74 )
| ! [SY517: mworld] :
( ~ ( mrel @ SV74 @ SY517 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY517 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY517 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY516 ) @ ( union @ SV63 @ SY516 ) @ SY469 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(297,plain,
! [SV16: mworld,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV75 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( eiw_di @ SY520 @ SV75 )
| ~ ( ~ ! [SY521: mworld] :
( ~ ( mrel @ SV75 @ SY521 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY521 @ SY473 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY521 @ SY256 )
| ( member @ SY520 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY521 @ SY475 )
| ( member @ SY520 @ SV64 @ SY475 ) ) )
| ~ ! [SY525: mworld] :
( ~ ( mrel @ SV75 @ SY525 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY525 @ SY259 )
| ( member @ SY520 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY525 @ SY478 )
| ( member @ SY520 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY525 @ SY479 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(298,plain,
! [SV17: mworld,SV65: $i,SV35: $i,SV76: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV76 ) )
= $true )
| ( ( ! [SY529: $i] :
( ~ ( eiw_di @ SY529 @ SV76 )
| ! [SY530: mworld] :
( ~ ( mrel @ SV76 @ SY530 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY530 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY530 @ SY484 )
| ( qmltpeq @ SV65 @ SY529 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY530 @ SY269 )
| ( qmltpeq @ SV35 @ SY529 @ SY269 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(299,plain,
! [SV18: mworld,SV66: $i,SV36: $i,SV77: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV77 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SV77 )
= $true )
| ( ( eiw_di @ SV66 @ SV52 )
= $false )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(300,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV78 ) )
= $true )
| ( ( ! [SY534: $i] :
( ~ ( eiw_di @ SY534 @ SV78 )
| ! [SY535: mworld] :
( ~ ( mrel @ SV78 @ SY535 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY535 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY535 @ SY491 )
| ( qmltpeq @ ( union @ SY534 @ SV37 ) @ ( union @ SY534 @ SV67 ) @ SY491 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(301,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ! [SY393: mworld] :
( ~ ( mrel @ SV38 @ SY393 )
| ~ ! [SY394: mworld] :
( ~ ( mrel @ SY393 @ SY394 )
| ( qmltpeq @ SV22 @ SV54 @ SY394 ) )
| ! [SY395: mworld] :
( ~ ( mrel @ SY393 @ SY395 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY395 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY395 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY395 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(302,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ! [SY403: mworld] :
( ~ ( mrel @ SV38 @ SY403 )
| ~ ! [SY404: mworld] :
( ~ ( mrel @ SY403 @ SY404 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY404 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY404 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY404 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY412: mworld] :
( ~ ( mrel @ SY403 @ SY412 )
| ( qmltpeq @ SV22 @ SV54 @ SY412 ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(303,plain,
! [SV5: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( ~ ! [SY492: mworld] :
( ~ ( mrel @ SV68 @ SY492 )
| ( qmltpeq @ SV23 @ SV55 @ SY492 ) )
| ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(304,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( ! [SY494: $i] :
( ~ ( eiw_di @ SY494 @ SV69 )
| ! [SY495: mworld] :
( ~ ( mrel @ SV69 @ SY495 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY495 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY183: mworld] :
( ~ ( mrel @ SY495 @ SY183 )
| ( subset @ SV24 @ SY494 @ SY183 ) ) )
| ! [SY421: mworld] :
( ~ ( mrel @ SY495 @ SY421 )
| ( subset @ SV56 @ SY494 @ SY421 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(305,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV41: mworld] :
( ( ( ! [SY422: mworld] :
( ~ ( mrel @ SV41 @ SY422 )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY422 @ SY423 )
| ( qmltpeq @ SV25 @ SV57 @ SY423 ) )
| ~ ( ~ ! [SY424: mworld] :
( ~ ( mrel @ SY422 @ SY424 )
| ( subset @ SV25 @ SV57 @ SY424 ) )
| ~ ! [SY425: mworld] :
( ~ ( mrel @ SY422 @ SY425 )
| ( subset @ SV57 @ SV25 @ SY425 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(306,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV41: mworld] :
( ( ( ! [SY426: mworld] :
( ~ ( mrel @ SV41 @ SY426 )
| ~ ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SY426 @ SY427 )
| ( subset @ SV25 @ SV57 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SY426 @ SY428 )
| ( subset @ SV57 @ SV25 @ SY428 ) ) )
| ! [SY429: mworld] :
( ~ ( mrel @ SY426 @ SY429 )
| ( qmltpeq @ SV25 @ SV57 @ SY429 ) ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(307,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV43: mworld] :
( ( ( ! [SY430: mworld] :
( ~ ( mrel @ SV43 @ SY430 )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SY430 @ SY431 )
| ( subset @ SV27 @ SV58 @ SY431 ) )
| ! [SY432: mworld] :
( ~ ( mrel @ SY430 @ SY432 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY432 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY432 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(308,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV43: mworld] :
( ( ( ! [SY437: mworld] :
( ~ ( mrel @ SV43 @ SY437 )
| ~ ! [SY438: mworld] :
( ~ ( mrel @ SY437 @ SY438 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY438 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY438 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY443: mworld] :
( ~ ( mrel @ SY437 @ SY443 )
| ( subset @ SV27 @ SV58 @ SY443 ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(309,plain,
! [SV10: mworld,SV59: $i,SV28: $i,SV70: mworld,SV44: mworld] :
( ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( eiw_di @ SY499 @ SV70 )
| ! [SY500: mworld] :
( ~ ( mrel @ SV70 @ SY500 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY500 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY218: mworld] :
( ~ ( mrel @ SY500 @ SY218 )
| ( subset @ SY499 @ SV28 @ SY218 ) ) )
| ! [SY449: mworld] :
( ~ ( mrel @ SY500 @ SY449 )
| ( subset @ SY499 @ SV59 @ SY449 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(310,plain,
! [SV11: mworld,SV60: $i,SV29: $i,SV71: mworld,SV45: mworld] :
( ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( ~ ! [SY504: mworld] :
( ~ ( mrel @ SV71 @ SY504 )
| ( subset @ SV29 @ SV60 @ SY504 ) )
| ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(311,plain,
! [SV12: mworld,SV61: $i,SV30: $i,SV72: mworld,SV46: mworld] :
( ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( ! [SY506: $i] :
( ~ ( eiw_di @ SY506 @ SV72 )
| ! [SY507: mworld] :
( ~ ( mrel @ SV72 @ SY507 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY507 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY231: mworld] :
( ~ ( mrel @ SY507 @ SY231 )
| ( member @ SV30 @ SY506 @ SY231 ) ) )
| ! [SY458: mworld] :
( ~ ( mrel @ SY507 @ SY458 )
| ( member @ SV61 @ SY506 @ SY458 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(312,plain,
! [SV14: mworld,SV62: $i,SV32: $i,SV73: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( eiw_di @ SY511 @ SV73 )
| ! [SY512: mworld] :
( ~ ( mrel @ SV73 @ SY512 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY512 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY241: mworld] :
( ~ ( mrel @ SY512 @ SY241 )
| ( member @ SY511 @ SV32 @ SY241 ) ) )
| ! [SY464: mworld] :
( ~ ( mrel @ SY512 @ SY464 )
| ( member @ SY511 @ SV62 @ SY464 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(313,plain,
! [SV15: mworld,SV63: $i,SV33: $i,SV74: mworld,SV49: mworld] :
( ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( ! [SY516: $i] :
( ~ ( eiw_di @ SY516 @ SV74 )
| ! [SY517: mworld] :
( ~ ( mrel @ SV74 @ SY517 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY517 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY469: mworld] :
( ~ ( mrel @ SY517 @ SY469 )
| ( qmltpeq @ ( union @ SV33 @ SY516 ) @ ( union @ SV63 @ SY516 ) @ SY469 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(314,plain,
! [SV16: mworld,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( ! [SY520: $i] :
( ~ ( eiw_di @ SY520 @ SV75 )
| ~ ( ~ ! [SY521: mworld] :
( ~ ( mrel @ SV75 @ SY521 )
| ~ ! [SY473: mworld] :
( ~ ( mrel @ SY521 @ SY473 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY473 ) )
| ! [SY256: mworld] :
( ~ ( mrel @ SY521 @ SY256 )
| ( member @ SY520 @ SV34 @ SY256 ) )
| ! [SY475: mworld] :
( ~ ( mrel @ SY521 @ SY475 )
| ( member @ SY520 @ SV64 @ SY475 ) ) )
| ~ ! [SY525: mworld] :
( ~ ( mrel @ SV75 @ SY525 )
| ~ ( ! [SY259: mworld] :
( ~ ( mrel @ SY525 @ SY259 )
| ( member @ SY520 @ SV34 @ SY259 ) )
| ! [SY478: mworld] :
( ~ ( mrel @ SY525 @ SY478 )
| ( member @ SY520 @ SV64 @ SY478 ) ) )
| ! [SY479: mworld] :
( ~ ( mrel @ SY525 @ SY479 )
| ( member @ SY520 @ ( union @ SV34 @ SV64 ) @ SY479 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(315,plain,
! [SV17: mworld,SV65: $i,SV35: $i,SV76: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( ! [SY529: $i] :
( ~ ( eiw_di @ SY529 @ SV76 )
| ! [SY530: mworld] :
( ~ ( mrel @ SV76 @ SY530 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY530 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY484: mworld] :
( ~ ( mrel @ SY530 @ SY484 )
| ( qmltpeq @ SV65 @ SY529 @ SY484 ) ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY530 @ SY269 )
| ( qmltpeq @ SV35 @ SY529 @ SY269 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(316,plain,
! [SV18: mworld,SV66: $i,SV36: $i,SV77: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ SV77 )
= $false )
| ( ( qmltpeq @ ( union @ SV36 @ SV66 ) @ ( union @ SV66 @ SV36 ) @ SV77 )
= $true )
| ( ( eiw_di @ SV66 @ SV52 )
= $false )
| ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(317,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( ! [SY534: $i] :
( ~ ( eiw_di @ SY534 @ SV78 )
| ! [SY535: mworld] :
( ~ ( mrel @ SV78 @ SY535 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY535 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY491: mworld] :
( ~ ( mrel @ SY535 @ SY491 )
| ( qmltpeq @ ( union @ SY534 @ SV37 ) @ ( union @ SY534 @ SV67 ) @ SY491 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(318,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV79 )
| ~ ! [SY538: mworld] :
( ~ ( mrel @ SV79 @ SY538 )
| ( qmltpeq @ SV22 @ SV54 @ SY538 ) )
| ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(319,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV80 )
| ~ ! [SY547: mworld] :
( ~ ( mrel @ SV80 @ SY547 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY547 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY547 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY547 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(320,plain,
! [SV5: mworld,SV39: mworld,SV55: $i,SV23: $i,SV68: mworld] :
( ( ( ~ ! [SY492: mworld] :
( ~ ( mrel @ SV68 @ SY492 )
| ( qmltpeq @ SV23 @ SV55 @ SY492 ) ) )
= $true )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(321,plain,
! [SV6: mworld,SV40: mworld,SV56: $i,SV24: $i,SV69: mworld,SV81: $i] :
( ( ( ~ ( eiw_di @ SV81 @ SV69 )
| ! [SY556: mworld] :
( ~ ( mrel @ SV69 @ SY556 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY556 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY558: mworld] :
( ~ ( mrel @ SY556 @ SY558 )
| ( subset @ SV24 @ SV81 @ SY558 ) ) )
| ! [SY559: mworld] :
( ~ ( mrel @ SY556 @ SY559 )
| ( subset @ SV56 @ SV81 @ SY559 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(322,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV82: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV82 )
| ~ ! [SY560: mworld] :
( ~ ( mrel @ SV82 @ SY560 )
| ( qmltpeq @ SV25 @ SV57 @ SY560 ) )
| ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(323,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV83: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV83 )
| ~ ~ ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
| ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(324,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV84 )
| ~ ! [SY566: mworld] :
( ~ ( mrel @ SV84 @ SY566 )
| ( subset @ SV27 @ SV58 @ SY566 ) )
| ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(325,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV85: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV85 )
| ~ ! [SY572: mworld] :
( ~ ( mrel @ SV85 @ SY572 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY572 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY572 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(326,plain,
! [SV10: mworld,SV44: mworld,SV59: $i,SV28: $i,SV70: mworld,SV86: $i] :
( ( ( ~ ( eiw_di @ SV86 @ SV70 )
| ! [SY578: mworld] :
( ~ ( mrel @ SV70 @ SY578 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY578 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY580: mworld] :
( ~ ( mrel @ SY578 @ SY580 )
| ( subset @ SV86 @ SV28 @ SY580 ) ) )
| ! [SY581: mworld] :
( ~ ( mrel @ SY578 @ SY581 )
| ( subset @ SV86 @ SV59 @ SY581 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(327,plain,
! [SV11: mworld,SV45: mworld,SV60: $i,SV29: $i,SV71: mworld] :
( ( ( ~ ! [SY504: mworld] :
( ~ ( mrel @ SV71 @ SY504 )
| ( subset @ SV29 @ SV60 @ SY504 ) ) )
= $true )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(328,plain,
! [SV12: mworld,SV46: mworld,SV61: $i,SV30: $i,SV72: mworld,SV87: $i] :
( ( ( ~ ( eiw_di @ SV87 @ SV72 )
| ! [SY582: mworld] :
( ~ ( mrel @ SV72 @ SY582 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY582 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY584: mworld] :
( ~ ( mrel @ SY582 @ SY584 )
| ( member @ SV30 @ SV87 @ SY584 ) ) )
| ! [SY585: mworld] :
( ~ ( mrel @ SY582 @ SY585 )
| ( member @ SV61 @ SV87 @ SY585 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(329,plain,
! [SV14: mworld,SV48: mworld,SV62: $i,SV32: $i,SV73: mworld,SV88: $i] :
( ( ( ~ ( eiw_di @ SV88 @ SV73 )
| ! [SY586: mworld] :
( ~ ( mrel @ SV73 @ SY586 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY586 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY588: mworld] :
( ~ ( mrel @ SY586 @ SY588 )
| ( member @ SV88 @ SV32 @ SY588 ) ) )
| ! [SY589: mworld] :
( ~ ( mrel @ SY586 @ SY589 )
| ( member @ SV88 @ SV62 @ SY589 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(330,plain,
! [SV15: mworld,SV49: mworld,SV63: $i,SV33: $i,SV74: mworld,SV89: $i] :
( ( ( ~ ( eiw_di @ SV89 @ SV74 )
| ! [SY590: mworld] :
( ~ ( mrel @ SV74 @ SY590 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY590 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY592: mworld] :
( ~ ( mrel @ SY590 @ SY592 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY592 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(331,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV75: mworld,SV90: $i] :
( ( ( ~ ( eiw_di @ SV90 @ SV75 )
| ~ ( ~ ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) )
| ~ ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(332,plain,
! [SV17: mworld,SV51: mworld,SV65: $i,SV35: $i,SV76: mworld,SV91: $i] :
( ( ( ~ ( eiw_di @ SV91 @ SV76 )
| ! [SY601: mworld] :
( ~ ( mrel @ SV76 @ SY601 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY601 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY603: mworld] :
( ~ ( mrel @ SY601 @ SY603 )
| ( qmltpeq @ SV65 @ SV91 @ SY603 ) ) )
| ! [SY604: mworld] :
( ~ ( mrel @ SY601 @ SY604 )
| ( qmltpeq @ SV35 @ SV91 @ SY604 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(333,plain,
! [SV19: mworld,SV53: mworld,SV67: $i,SV37: $i,SV78: mworld,SV92: $i] :
( ( ( ~ ( eiw_di @ SV92 @ SV78 )
| ! [SY605: mworld] :
( ~ ( mrel @ SV78 @ SY605 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY605 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY607: mworld] :
( ~ ( mrel @ SY605 @ SY607 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY607 ) ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(334,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV79 ) )
= $true )
| ( ( ~ ! [SY538: mworld] :
( ~ ( mrel @ SV79 @ SY538 )
| ( qmltpeq @ SV22 @ SV54 @ SY538 ) )
| ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(335,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV80 ) )
= $true )
| ( ( ~ ! [SY547: mworld] :
( ~ ( mrel @ SV80 @ SY547 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY547 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY547 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY547 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(336,plain,
! [SV5: mworld,SV39: mworld,SV55: $i,SV23: $i,SV68: mworld] :
( ( ( ! [SY492: mworld] :
( ~ ( mrel @ SV68 @ SY492 )
| ( qmltpeq @ SV23 @ SV55 @ SY492 ) ) )
= $false )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(337,plain,
! [SV6: mworld,SV40: mworld,SV56: $i,SV24: $i,SV69: mworld,SV81: $i] :
( ( ( ~ ( eiw_di @ SV81 @ SV69 ) )
= $true )
| ( ( ! [SY556: mworld] :
( ~ ( mrel @ SV69 @ SY556 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY556 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY558: mworld] :
( ~ ( mrel @ SY556 @ SY558 )
| ( subset @ SV24 @ SV81 @ SY558 ) ) )
| ! [SY559: mworld] :
( ~ ( mrel @ SY556 @ SY559 )
| ( subset @ SV56 @ SV81 @ SY559 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(338,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV82: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV82 ) )
= $true )
| ( ( ~ ! [SY560: mworld] :
( ~ ( mrel @ SV82 @ SY560 )
| ( qmltpeq @ SV25 @ SV57 @ SY560 ) )
| ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(339,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV83: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV83 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
| ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(340,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV84 ) )
= $true )
| ( ( ~ ! [SY566: mworld] :
( ~ ( mrel @ SV84 @ SY566 )
| ( subset @ SV27 @ SV58 @ SY566 ) )
| ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(341,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV85: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV85 ) )
= $true )
| ( ( ~ ! [SY572: mworld] :
( ~ ( mrel @ SV85 @ SY572 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY572 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY572 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(342,plain,
! [SV10: mworld,SV44: mworld,SV59: $i,SV28: $i,SV70: mworld,SV86: $i] :
( ( ( ~ ( eiw_di @ SV86 @ SV70 ) )
= $true )
| ( ( ! [SY578: mworld] :
( ~ ( mrel @ SV70 @ SY578 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY578 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY580: mworld] :
( ~ ( mrel @ SY578 @ SY580 )
| ( subset @ SV86 @ SV28 @ SY580 ) ) )
| ! [SY581: mworld] :
( ~ ( mrel @ SY578 @ SY581 )
| ( subset @ SV86 @ SV59 @ SY581 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(343,plain,
! [SV11: mworld,SV45: mworld,SV60: $i,SV29: $i,SV71: mworld] :
( ( ( ! [SY504: mworld] :
( ~ ( mrel @ SV71 @ SY504 )
| ( subset @ SV29 @ SV60 @ SY504 ) ) )
= $false )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(344,plain,
! [SV12: mworld,SV46: mworld,SV61: $i,SV30: $i,SV72: mworld,SV87: $i] :
( ( ( ~ ( eiw_di @ SV87 @ SV72 ) )
= $true )
| ( ( ! [SY582: mworld] :
( ~ ( mrel @ SV72 @ SY582 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY582 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY584: mworld] :
( ~ ( mrel @ SY582 @ SY584 )
| ( member @ SV30 @ SV87 @ SY584 ) ) )
| ! [SY585: mworld] :
( ~ ( mrel @ SY582 @ SY585 )
| ( member @ SV61 @ SV87 @ SY585 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(345,plain,
! [SV14: mworld,SV48: mworld,SV62: $i,SV32: $i,SV73: mworld,SV88: $i] :
( ( ( ~ ( eiw_di @ SV88 @ SV73 ) )
= $true )
| ( ( ! [SY586: mworld] :
( ~ ( mrel @ SV73 @ SY586 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY586 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY588: mworld] :
( ~ ( mrel @ SY586 @ SY588 )
| ( member @ SV88 @ SV32 @ SY588 ) ) )
| ! [SY589: mworld] :
( ~ ( mrel @ SY586 @ SY589 )
| ( member @ SV88 @ SV62 @ SY589 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(346,plain,
! [SV15: mworld,SV49: mworld,SV63: $i,SV33: $i,SV74: mworld,SV89: $i] :
( ( ( ~ ( eiw_di @ SV89 @ SV74 ) )
= $true )
| ( ( ! [SY590: mworld] :
( ~ ( mrel @ SV74 @ SY590 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY590 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY592: mworld] :
( ~ ( mrel @ SY590 @ SY592 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY592 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(347,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV75: mworld,SV90: $i] :
( ( ( ~ ( eiw_di @ SV90 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) )
| ~ ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(348,plain,
! [SV17: mworld,SV51: mworld,SV65: $i,SV35: $i,SV76: mworld,SV91: $i] :
( ( ( ~ ( eiw_di @ SV91 @ SV76 ) )
= $true )
| ( ( ! [SY601: mworld] :
( ~ ( mrel @ SV76 @ SY601 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY601 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY603: mworld] :
( ~ ( mrel @ SY601 @ SY603 )
| ( qmltpeq @ SV65 @ SV91 @ SY603 ) ) )
| ! [SY604: mworld] :
( ~ ( mrel @ SY601 @ SY604 )
| ( qmltpeq @ SV35 @ SV91 @ SY604 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(349,plain,
! [SV19: mworld,SV53: mworld,SV67: $i,SV37: $i,SV78: mworld,SV92: $i] :
( ( ( ~ ( eiw_di @ SV92 @ SV78 ) )
= $true )
| ( ( ! [SY605: mworld] :
( ~ ( mrel @ SV78 @ SY605 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY605 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY607: mworld] :
( ~ ( mrel @ SY605 @ SY607 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY607 ) ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(350,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( ~ ! [SY538: mworld] :
( ~ ( mrel @ SV79 @ SY538 )
| ( qmltpeq @ SV22 @ SV54 @ SY538 ) )
| ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(351,plain,
! [SV4: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( ~ ! [SY547: mworld] :
( ~ ( mrel @ SV80 @ SY547 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY547 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY547 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY547 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) )
| ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(352,plain,
! [SV23: $i,SV55: $i,SV39: mworld,SV5: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
| ( qmltpeq @ SV23 @ SV55 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) ) )
= $false )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[336]) ).
thf(353,plain,
! [SV6: mworld,SV40: mworld,SV56: $i,SV24: $i,SV69: mworld,SV81: $i] :
( ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( ! [SY556: mworld] :
( ~ ( mrel @ SV69 @ SY556 )
| ~ ~ ( ~ ! [SY419: mworld] :
( ~ ( mrel @ SY556 @ SY419 )
| ( qmltpeq @ SV24 @ SV56 @ SY419 ) )
| ~ ! [SY558: mworld] :
( ~ ( mrel @ SY556 @ SY558 )
| ( subset @ SV24 @ SV81 @ SY558 ) ) )
| ! [SY559: mworld] :
( ~ ( mrel @ SY556 @ SY559 )
| ( subset @ SV56 @ SV81 @ SY559 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(354,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV82: mworld,SV41: mworld] :
( ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( ~ ! [SY560: mworld] :
( ~ ( mrel @ SV82 @ SY560 )
| ( qmltpeq @ SV25 @ SV57 @ SY560 ) )
| ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(355,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV83: mworld,SV41: mworld] :
( ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( ~ ~ ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
| ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(356,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( ~ ! [SY566: mworld] :
( ~ ( mrel @ SV84 @ SY566 )
| ( subset @ SV27 @ SV58 @ SY566 ) )
| ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(357,plain,
! [SV9: mworld,SV58: $i,SV27: $i,SV85: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( ~ ! [SY572: mworld] :
( ~ ( mrel @ SV85 @ SY572 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY572 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY572 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) )
| ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(358,plain,
! [SV10: mworld,SV44: mworld,SV59: $i,SV28: $i,SV70: mworld,SV86: $i] :
( ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( ! [SY578: mworld] :
( ~ ( mrel @ SV70 @ SY578 )
| ~ ~ ( ~ ! [SY447: mworld] :
( ~ ( mrel @ SY578 @ SY447 )
| ( qmltpeq @ SV28 @ SV59 @ SY447 ) )
| ~ ! [SY580: mworld] :
( ~ ( mrel @ SY578 @ SY580 )
| ( subset @ SV86 @ SV28 @ SY580 ) ) )
| ! [SY581: mworld] :
( ~ ( mrel @ SY578 @ SY581 )
| ( subset @ SV86 @ SV59 @ SY581 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(359,plain,
! [SV29: $i,SV60: $i,SV45: mworld,SV11: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
| ( subset @ SV29 @ SV60 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) ) )
= $false )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[343]) ).
thf(360,plain,
! [SV12: mworld,SV46: mworld,SV61: $i,SV30: $i,SV72: mworld,SV87: $i] :
( ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( ! [SY582: mworld] :
( ~ ( mrel @ SV72 @ SY582 )
| ~ ~ ( ~ ! [SY456: mworld] :
( ~ ( mrel @ SY582 @ SY456 )
| ( qmltpeq @ SV30 @ SV61 @ SY456 ) )
| ~ ! [SY584: mworld] :
( ~ ( mrel @ SY582 @ SY584 )
| ( member @ SV30 @ SV87 @ SY584 ) ) )
| ! [SY585: mworld] :
( ~ ( mrel @ SY582 @ SY585 )
| ( member @ SV61 @ SV87 @ SY585 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(361,plain,
! [SV14: mworld,SV48: mworld,SV62: $i,SV32: $i,SV73: mworld,SV88: $i] :
( ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( ! [SY586: mworld] :
( ~ ( mrel @ SV73 @ SY586 )
| ~ ~ ( ~ ! [SY462: mworld] :
( ~ ( mrel @ SY586 @ SY462 )
| ( qmltpeq @ SV32 @ SV62 @ SY462 ) )
| ~ ! [SY588: mworld] :
( ~ ( mrel @ SY586 @ SY588 )
| ( member @ SV88 @ SV32 @ SY588 ) ) )
| ! [SY589: mworld] :
( ~ ( mrel @ SY586 @ SY589 )
| ( member @ SV88 @ SV62 @ SY589 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(362,plain,
! [SV15: mworld,SV49: mworld,SV63: $i,SV33: $i,SV74: mworld,SV89: $i] :
( ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( ! [SY590: mworld] :
( ~ ( mrel @ SV74 @ SY590 )
| ~ ! [SY468: mworld] :
( ~ ( mrel @ SY590 @ SY468 )
| ( qmltpeq @ SV33 @ SV63 @ SY468 ) )
| ! [SY592: mworld] :
( ~ ( mrel @ SY590 @ SY592 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY592 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(363,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV75: mworld,SV90: $i] :
( ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( ~ ( ~ ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) )
| ~ ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(364,plain,
! [SV17: mworld,SV51: mworld,SV65: $i,SV35: $i,SV76: mworld,SV91: $i] :
( ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( ! [SY601: mworld] :
( ~ ( mrel @ SV76 @ SY601 )
| ~ ~ ( ~ ! [SY483: mworld] :
( ~ ( mrel @ SY601 @ SY483 )
| ( qmltpeq @ SV35 @ SV65 @ SY483 ) )
| ~ ! [SY603: mworld] :
( ~ ( mrel @ SY601 @ SY603 )
| ( qmltpeq @ SV65 @ SV91 @ SY603 ) ) )
| ! [SY604: mworld] :
( ~ ( mrel @ SY601 @ SY604 )
| ( qmltpeq @ SV35 @ SV91 @ SY604 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(365,plain,
! [SV19: mworld,SV53: mworld,SV67: $i,SV37: $i,SV78: mworld,SV92: $i] :
( ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( ! [SY605: mworld] :
( ~ ( mrel @ SV78 @ SY605 )
| ~ ! [SY490: mworld] :
( ~ ( mrel @ SY605 @ SY490 )
| ( qmltpeq @ SV37 @ SV67 @ SY490 ) )
| ! [SY607: mworld] :
( ~ ( mrel @ SY605 @ SY607 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY607 ) ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(366,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV79: mworld] :
( ( ( ~ ! [SY538: mworld] :
( ~ ( mrel @ SV79 @ SY538 )
| ( qmltpeq @ SV22 @ SV54 @ SY538 ) ) )
= $true )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(367,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY547: mworld] :
( ~ ( mrel @ SV80 @ SY547 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY547 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY547 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY547 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(368,plain,
! [SV23: $i,SV55: $i,SV39: mworld,SV5: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) ) )
= $false )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(369,plain,
! [SV68: mworld,SV39: mworld,SV5: mworld,SV55: $i,SV23: $i] :
( ( ( qmltpeq @ SV23 @ SV55 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $false )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(370,plain,
! [SV6: mworld,SV40: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV93 )
| ~ ~ ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
| ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(371,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ~ ! [SY560: mworld] :
( ~ ( mrel @ SV82 @ SY560 )
| ( qmltpeq @ SV25 @ SV57 @ SY560 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(372,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV83: mworld] :
( ( ( ~ ~ ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(373,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV84: mworld] :
( ( ( ~ ! [SY566: mworld] :
( ~ ( mrel @ SV84 @ SY566 )
| ( subset @ SV27 @ SV58 @ SY566 ) ) )
= $true )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(374,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ! [SY572: mworld] :
( ~ ( mrel @ SV85 @ SY572 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY572 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY572 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(375,plain,
! [SV10: mworld,SV44: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ SV70 @ SV94 )
| ~ ~ ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
| ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(376,plain,
! [SV29: $i,SV60: $i,SV45: mworld,SV11: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) ) )
= $false )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(377,plain,
! [SV71: mworld,SV45: mworld,SV11: mworld,SV60: $i,SV29: $i] :
( ( ( subset @ SV29 @ SV60 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $false )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(378,plain,
! [SV12: mworld,SV46: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV95 )
| ~ ~ ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
| ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(379,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV96 )
| ~ ~ ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
| ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(380,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV63: $i,SV33: $i,SV97: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV97 )
| ~ ! [SY620: mworld] :
( ~ ( mrel @ SV97 @ SY620 )
| ( qmltpeq @ SV33 @ SV63 @ SY620 ) )
| ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(381,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV75: mworld] :
( ( ( ~ ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) )
| ~ ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(382,plain,
! [SV17: mworld,SV51: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV98 )
| ~ ~ ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
| ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(383,plain,
! [SV19: mworld,SV53: mworld,SV92: $i,SV67: $i,SV37: $i,SV99: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV99 )
| ~ ! [SY625: mworld] :
( ~ ( mrel @ SV99 @ SY625 )
| ( qmltpeq @ SV37 @ SV67 @ SY625 ) )
| ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(384,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV79: mworld] :
( ( ( ! [SY538: mworld] :
( ~ ( mrel @ SV79 @ SY538 )
| ( qmltpeq @ SV22 @ SV54 @ SY538 ) ) )
= $false )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(385,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY547: mworld] :
( ~ ( mrel @ SV80 @ SY547 )
| ! [SY405: $i] :
( ~ ( eiw_di @ SY405 @ SY547 )
| ~ ( ~ ! [SY406: mworld] :
( ~ ( mrel @ SY547 @ SY406 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY406 @ SY166 )
| ( member @ SY405 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY406 @ SY408 )
| ( member @ SY405 @ SV54 @ SY408 ) ) )
| ~ ! [SY409: mworld] :
( ~ ( mrel @ SY547 @ SY409 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY409 @ SY410 )
| ( member @ SY405 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY409 @ SY170 )
| ( member @ SY405 @ SV22 @ SY170 ) ) ) ) ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(386,plain,
! [SV23: $i,SV55: $i,SV39: mworld,SV5: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $true )
| ( ( ! [SY493: mworld] :
( ~ ( mrel @ SV68 @ SY493 )
| ( qmltpeq @ SV55 @ SV23 @ SY493 ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(387,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV100: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV100 )
| ( qmltpeq @ SV55 @ SV23 @ SV100 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(388,plain,
! [SV6: mworld,SV40: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV93 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
| ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(389,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ! [SY560: mworld] :
( ~ ( mrel @ SV82 @ SY560 )
| ( qmltpeq @ SV25 @ SV57 @ SY560 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(390,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV83: mworld] :
( ( ( ~ ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(391,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV84: mworld] :
( ( ( ! [SY566: mworld] :
( ~ ( mrel @ SV84 @ SY566 )
| ( subset @ SV27 @ SV58 @ SY566 ) ) )
= $false )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(392,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ! [SY572: mworld] :
( ~ ( mrel @ SV85 @ SY572 )
| ! [SY439: $i] :
( ~ ( eiw_di @ SY439 @ SY572 )
| ! [SY440: mworld] :
( ~ ( mrel @ SY572 @ SY440 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY440 @ SY209 )
| ( member @ SY439 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY440 @ SY442 )
| ( member @ SY439 @ SV58 @ SY442 ) ) ) ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(393,plain,
! [SV10: mworld,SV44: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ SV70 @ SV94 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
| ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(394,plain,
! [SV29: $i,SV60: $i,SV45: mworld,SV11: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $true )
| ( ( ! [SY505: mworld] :
( ~ ( mrel @ SV71 @ SY505 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SY505 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(395,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV101: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV101 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV101 ) )
= $true )
| ( ( subset @ SV29 @ SV60 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $false )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(396,plain,
! [SV12: mworld,SV46: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV95 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
| ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(397,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
| ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(398,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV63: $i,SV33: $i,SV97: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV97 ) )
= $true )
| ( ( ~ ! [SY620: mworld] :
( ~ ( mrel @ SV97 @ SY620 )
| ( qmltpeq @ SV33 @ SV63 @ SY620 ) )
| ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(399,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV75: mworld] :
( ( ( ~ ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) ) )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(400,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV75: mworld] :
( ( ( ~ ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(401,plain,
! [SV17: mworld,SV51: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV98 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
| ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(402,plain,
! [SV19: mworld,SV53: mworld,SV92: $i,SV67: $i,SV37: $i,SV99: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV99 ) )
= $true )
| ( ( ~ ! [SY625: mworld] :
( ~ ( mrel @ SV99 @ SY625 )
| ( qmltpeq @ SV37 @ SV67 @ SY625 ) )
| ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(403,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
| ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) ) )
= $false )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(404,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ! [SY627: $i] :
( ~ ( eiw_di @ SY627 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY628: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY628 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY628 @ SY166 )
| ( member @ SY627 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY628 @ SY408 )
| ( member @ SY627 @ SV54 @ SY408 ) ) )
| ~ ! [SY631: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY631 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY631 @ SY410 )
| ( member @ SY627 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY631 @ SY170 )
| ( member @ SY627 @ SV22 @ SY170 ) ) ) ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(405,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV102: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV102 )
| ( qmltpeq @ SV55 @ SV23 @ SV102 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(406,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV100: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV100 ) )
= $true )
| ( ( qmltpeq @ SV55 @ SV23 @ SV100 )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(407,plain,
! [SV6: mworld,SV40: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( ~ ~ ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
| ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
| ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[389]) ).
thf(409,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV83: mworld] :
( ( ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) )
| ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(410,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
| ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) ) )
= $false )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[391]) ).
thf(411,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
| ! [SY634: $i] :
( ~ ( eiw_di @ SY634 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
| ! [SY635: mworld] :
( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ SY635 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY635 @ SY209 )
| ( member @ SY634 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY635 @ SY442 )
| ( member @ SY634 @ SV58 @ SY442 ) ) ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[392]) ).
thf(412,plain,
! [SV10: mworld,SV44: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld,SV70: mworld] :
( ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( ~ ~ ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
| ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(413,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV103: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV103 )
| ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV103 ) )
= $true )
| ( ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(414,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV101: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV101 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV101 )
= $true )
| ( ( subset @ SV29 @ SV60 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $false )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(415,plain,
! [SV12: mworld,SV46: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld,SV72: mworld] :
( ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( ~ ~ ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
| ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(416,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld,SV73: mworld] :
( ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
| ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(417,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV63: $i,SV33: $i,SV97: mworld,SV74: mworld] :
( ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( ~ ! [SY620: mworld] :
( ~ ( mrel @ SV97 @ SY620 )
| ( qmltpeq @ SV33 @ SV63 @ SY620 ) )
| ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(418,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV75: mworld] :
( ( ( ! [SY593: mworld] :
( ~ ( mrel @ SV75 @ SY593 )
| ~ ! [SY594: mworld] :
( ~ ( mrel @ SY593 @ SY594 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY594 ) )
| ! [SY595: mworld] :
( ~ ( mrel @ SY593 @ SY595 )
| ( member @ SV90 @ SV34 @ SY595 ) )
| ! [SY596: mworld] :
( ~ ( mrel @ SY593 @ SY596 )
| ( member @ SV90 @ SV64 @ SY596 ) ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(419,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV75: mworld] :
( ( ( ! [SY597: mworld] :
( ~ ( mrel @ SV75 @ SY597 )
| ~ ( ! [SY598: mworld] :
( ~ ( mrel @ SY597 @ SY598 )
| ( member @ SV90 @ SV34 @ SY598 ) )
| ! [SY599: mworld] :
( ~ ( mrel @ SY597 @ SY599 )
| ( member @ SV90 @ SV64 @ SY599 ) ) )
| ! [SY600: mworld] :
( ~ ( mrel @ SY597 @ SY600 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY600 ) ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(420,plain,
! [SV17: mworld,SV51: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( ~ ~ ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
| ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(421,plain,
! [SV19: mworld,SV53: mworld,SV92: $i,SV67: $i,SV37: $i,SV99: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( ~ ! [SY625: mworld] :
( ~ ( mrel @ SV99 @ SY625 )
| ( qmltpeq @ SV37 @ SV67 @ SY625 ) )
| ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(422,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) ) )
= $false )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(423,plain,
! [SV79: mworld,SV38: mworld,SV4: mworld,SV54: $i,SV22: $i] :
( ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(424,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(425,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY627: $i] :
( ~ ( eiw_di @ SY627 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY628: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY628 )
| ~ ! [SY166: mworld] :
( ~ ( mrel @ SY628 @ SY166 )
| ( member @ SY627 @ SV22 @ SY166 ) )
| ! [SY408: mworld] :
( ~ ( mrel @ SY628 @ SY408 )
| ( member @ SY627 @ SV54 @ SY408 ) ) )
| ~ ! [SY631: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY631 )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SY631 @ SY410 )
| ( member @ SY627 @ SV54 @ SY410 ) )
| ! [SY170: mworld] :
( ~ ( mrel @ SY631 @ SY170 )
| ( member @ SY627 @ SV22 @ SY170 ) ) ) ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(426,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV102: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV102 ) )
= $true )
| ( ( qmltpeq @ SV55 @ SV23 @ SV102 )
= $true )
| ( ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(427,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV100: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV100 )
= $false )
| ( ( qmltpeq @ SV55 @ SV23 @ SV100 )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(428,plain,
! [SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld] :
( ( ( ~ ~ ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(429,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(430,plain,
! [SV82: mworld,SV41: mworld,SV7: mworld,SV57: $i,SV25: $i] :
( ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(431,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV83: mworld] :
( ( ( ~ ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) ) )
= $true )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(432,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) ) )
= $false )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(433,plain,
! [SV84: mworld,SV43: mworld,SV9: mworld,SV58: $i,SV27: $i] :
( ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(434,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(435,plain,
! [SV85: mworld,SV27: $i,SV58: $i,SV43: mworld,SV9: mworld] :
( ( ( ! [SY634: $i] :
( ~ ( eiw_di @ SY634 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
| ! [SY635: mworld] :
( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ SY635 )
| ~ ! [SY209: mworld] :
( ~ ( mrel @ SY635 @ SY209 )
| ( member @ SY634 @ SV27 @ SY209 ) )
| ! [SY442: mworld] :
( ~ ( mrel @ SY635 @ SY442 )
| ( member @ SY634 @ SV58 @ SY442 ) ) ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(436,plain,
! [SV10: mworld,SV44: mworld,SV70: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ~ ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(437,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV103: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV103 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV103 )
= $true )
| ( ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(438,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV101: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ SV101 )
= $false )
| ( ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV101 )
= $true )
| ( ( subset @ SV29 @ SV60 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $false )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(439,plain,
! [SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld] :
( ( ( ~ ~ ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(440,plain,
! [SV14: mworld,SV48: mworld,SV73: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld] :
( ( ( ~ ~ ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(441,plain,
! [SV15: mworld,SV49: mworld,SV74: mworld,SV89: $i,SV63: $i,SV33: $i,SV97: mworld] :
( ( ( ~ ! [SY620: mworld] :
( ~ ( mrel @ SV97 @ SY620 )
| ( qmltpeq @ SV33 @ SV63 @ SY620 ) ) )
= $true )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(442,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV104 )
| ~ ! [SY638: mworld] :
( ~ ( mrel @ SV104 @ SY638 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY638 ) )
| ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(443,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV105 )
| ~ ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) )
| ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) )
| ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(444,plain,
! [SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld] :
( ( ( ~ ~ ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(445,plain,
! [SV19: mworld,SV53: mworld,SV78: mworld,SV92: $i,SV67: $i,SV37: $i,SV99: mworld] :
( ( ( ~ ! [SY625: mworld] :
( ~ ( mrel @ SV99 @ SY625 )
| ( qmltpeq @ SV37 @ SV67 @ SY625 ) ) )
= $true )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(446,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( ! [SY539: mworld] :
( ~ ( mrel @ SV79 @ SY539 )
| ! [SY396: $i] :
( ~ ( eiw_di @ SY396 @ SY539 )
| ~ ( ~ ! [SY397: mworld] :
( ~ ( mrel @ SY539 @ SY397 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY397 @ SY157 )
| ( member @ SY396 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY397 @ SY399 )
| ( member @ SY396 @ SV54 @ SY399 ) ) )
| ~ ! [SY400: mworld] :
( ~ ( mrel @ SY539 @ SY400 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY400 @ SY401 )
| ( member @ SY396 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY400 @ SY161 )
| ( member @ SY396 @ SV22 @ SY161 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(447,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV106 )
| ! [SY644: $i] :
( ~ ( eiw_di @ SY644 @ SV106 )
| ~ ( ~ ! [SY645: mworld] :
( ~ ( mrel @ SV106 @ SY645 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY645 @ SY157 )
| ( member @ SY644 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY645 @ SY399 )
| ( member @ SY644 @ SV54 @ SY399 ) ) )
| ~ ! [SY648: mworld] :
( ~ ( mrel @ SV106 @ SY648 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY648 @ SY401 )
| ( member @ SY644 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY648 @ SY161 )
| ( member @ SY644 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(448,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV4: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(449,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY651: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY651 )
| ~ ! [SY652: mworld] :
( ~ ( mrel @ SY651 @ SY652 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY652 ) )
| ! [SY653: mworld] :
( ~ ( mrel @ SY651 @ SY653 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY653 ) ) )
| ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(450,plain,
! [SV39: mworld,SV5: mworld,SV23: $i,SV55: $i,SV102: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV102 )
= $false )
| ( ( qmltpeq @ SV55 @ SV23 @ SV102 )
= $true )
| ( ( mrel @ SV68 @ ( sK5_SY492 @ SV5 @ SV39 @ SV55 @ SV23 @ SV68 ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV5 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(451,plain,
! [SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld] :
( ( ( ~ ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(452,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( ~ ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(453,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(454,plain,
! [SV7: mworld,SV41: mworld,SV57: $i,SV25: $i,SV83: mworld] :
( ( ( ! [SY563: mworld] :
( ~ ( mrel @ SV83 @ SY563 )
| ( subset @ SV25 @ SV57 @ SY563 ) ) )
= $false )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(455,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY567: mworld] :
( ~ ( mrel @ SV84 @ SY567 )
| ! [SY433: $i] :
( ~ ( eiw_di @ SY433 @ SY567 )
| ! [SY434: mworld] :
( ~ ( mrel @ SY567 @ SY434 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY434 @ SY203 )
| ( member @ SY433 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY434 @ SY436 )
| ( member @ SY433 @ SV58 @ SY436 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(456,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV107: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV107 )
| ! [SY657: $i] :
( ~ ( eiw_di @ SY657 @ SV107 )
| ! [SY658: mworld] :
( ~ ( mrel @ SV107 @ SY658 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY658 @ SY203 )
| ( member @ SY657 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY658 @ SY436 )
| ( member @ SY657 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(457,plain,
! [SV27: $i,SV58: $i,SV43: mworld,SV9: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(458,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
| ! [SY661: mworld] :
( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ SY661 )
| ~ ! [SY662: mworld] :
( ~ ( mrel @ SY661 @ SY662 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY662 ) )
| ! [SY663: mworld] :
( ~ ( mrel @ SY661 @ SY663 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ SY663 ) ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(459,plain,
! [SV10: mworld,SV44: mworld,SV70: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(460,plain,
! [SV45: mworld,SV11: mworld,SV60: $i,SV29: $i,SV103: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ SV103 )
= $false )
| ( ( qmltpeq @ ( union @ SV29 @ SV60 ) @ SV60 @ SV103 )
= $true )
| ( ( mrel @ SV71 @ ( sK6_SY504 @ SV11 @ SV45 @ SV60 @ SV29 @ SV71 ) )
= $true )
| ( ( mrel @ SV45 @ SV71 )
= $false )
| ( ( eiw_di @ SV60 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(461,plain,
! [SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld] :
( ( ( ~ ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(462,plain,
! [SV14: mworld,SV48: mworld,SV73: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld] :
( ( ( ~ ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(463,plain,
! [SV15: mworld,SV49: mworld,SV74: mworld,SV89: $i,SV63: $i,SV33: $i,SV97: mworld] :
( ( ( ! [SY620: mworld] :
( ~ ( mrel @ SV97 @ SY620 )
| ( qmltpeq @ SV33 @ SV63 @ SY620 ) ) )
= $false )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(464,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV104 ) )
= $true )
| ( ( ~ ! [SY638: mworld] :
( ~ ( mrel @ SV104 @ SY638 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY638 ) )
| ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(465,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV105 ) )
= $true )
| ( ( ~ ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) )
| ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) )
| ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(466,plain,
! [SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld] :
( ( ( ~ ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(467,plain,
! [SV19: mworld,SV53: mworld,SV78: mworld,SV92: $i,SV67: $i,SV37: $i,SV99: mworld] :
( ( ( ! [SY625: mworld] :
( ~ ( mrel @ SV99 @ SY625 )
| ( qmltpeq @ SV37 @ SV67 @ SY625 ) ) )
= $false )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(468,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV108 )
| ! [SY664: $i] :
( ~ ( eiw_di @ SY664 @ SV108 )
| ~ ( ~ ! [SY665: mworld] :
( ~ ( mrel @ SV108 @ SY665 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY665 @ SY157 )
| ( member @ SY664 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY665 @ SY399 )
| ( member @ SY664 @ SV54 @ SY399 ) ) )
| ~ ! [SY668: mworld] :
( ~ ( mrel @ SV108 @ SY668 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY668 @ SY401 )
| ( member @ SY664 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY668 @ SY161 )
| ( member @ SY664 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(469,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV106 ) )
= $true )
| ( ( ! [SY644: $i] :
( ~ ( eiw_di @ SY644 @ SV106 )
| ~ ( ~ ! [SY645: mworld] :
( ~ ( mrel @ SV106 @ SY645 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY645 @ SY157 )
| ( member @ SY644 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY645 @ SY399 )
| ( member @ SY644 @ SV54 @ SY399 ) ) )
| ~ ! [SY648: mworld] :
( ~ ( mrel @ SV106 @ SY648 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY648 @ SY401 )
| ( member @ SY644 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY648 @ SY161 )
| ( member @ SY644 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(470,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV109 )
| ( qmltpeq @ SV22 @ SV54 @ SV109 ) )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(471,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(472,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( ~ ! [SY651: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY651 )
| ~ ! [SY652: mworld] :
( ~ ( mrel @ SY651 @ SY652 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY652 ) )
| ! [SY653: mworld] :
( ~ ( mrel @ SY651 @ SY653 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY653 ) ) )
| ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(473,plain,
! [SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld] :
( ( ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) )
| ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(474,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) )
| ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $false )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(475,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(476,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV82: mworld] :
( ( ( ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(477,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
| ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) ) )
= $false )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[454]) ).
thf(478,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV110: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV110 )
| ! [SY671: $i] :
( ~ ( eiw_di @ SY671 @ SV110 )
| ! [SY672: mworld] :
( ~ ( mrel @ SV110 @ SY672 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY672 @ SY203 )
| ( member @ SY671 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY672 @ SY436 )
| ( member @ SY671 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(479,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV107: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV107 ) )
= $true )
| ( ( ! [SY657: $i] :
( ~ ( eiw_di @ SY657 @ SV107 )
| ! [SY658: mworld] :
( ~ ( mrel @ SV107 @ SY658 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY658 @ SY203 )
| ( member @ SY657 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY658 @ SY436 )
| ( member @ SY657 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(480,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV111: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV111 )
| ( subset @ SV27 @ SV58 @ SV111 ) )
= $true )
| ( ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(481,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(482,plain,
! [SV85: mworld,SV27: $i,SV58: $i,SV43: mworld,SV9: mworld] :
( ( ( ! [SY661: mworld] :
( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ SY661 )
| ~ ! [SY662: mworld] :
( ~ ( mrel @ SY661 @ SY662 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY662 ) )
| ! [SY663: mworld] :
( ~ ( mrel @ SY661 @ SY663 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ SY663 ) ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(483,plain,
! [SV10: mworld,SV44: mworld,SV70: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) )
| ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(484,plain,
! [SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld] :
( ( ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) )
| ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(485,plain,
! [SV14: mworld,SV48: mworld,SV73: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld] :
( ( ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) )
| ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(486,plain,
! [SV33: $i,SV63: $i,SV89: $i,SV74: mworld,SV49: mworld,SV15: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
| ( qmltpeq @ SV33 @ SV63 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) ) )
= $false )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(487,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( ~ ! [SY638: mworld] :
( ~ ( mrel @ SV104 @ SY638 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY638 ) )
| ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(488,plain,
! [SV16: mworld,SV50: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( ~ ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) )
| ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) )
| ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(489,plain,
! [SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld] :
( ( ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) )
| ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(490,plain,
! [SV37: $i,SV67: $i,SV92: $i,SV78: mworld,SV53: mworld,SV19: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
| ( qmltpeq @ SV37 @ SV67 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) ) )
= $false )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[467]) ).
thf(491,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV108 ) )
= $true )
| ( ( ! [SY664: $i] :
( ~ ( eiw_di @ SY664 @ SV108 )
| ~ ( ~ ! [SY665: mworld] :
( ~ ( mrel @ SV108 @ SY665 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY665 @ SY157 )
| ( member @ SY664 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY665 @ SY399 )
| ( member @ SY664 @ SV54 @ SY399 ) ) )
| ~ ! [SY668: mworld] :
( ~ ( mrel @ SV108 @ SY668 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY668 @ SY401 )
| ( member @ SY664 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY668 @ SY161 )
| ( member @ SY664 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(492,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( eiw_di @ SY644 @ SV106 )
| ~ ( ~ ! [SY645: mworld] :
( ~ ( mrel @ SV106 @ SY645 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY645 @ SY157 )
| ( member @ SY644 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY645 @ SY399 )
| ( member @ SY644 @ SV54 @ SY399 ) ) )
| ~ ! [SY648: mworld] :
( ~ ( mrel @ SV106 @ SY648 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY648 @ SY401 )
| ( member @ SY644 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY648 @ SY161 )
| ( member @ SY644 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(493,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV109 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV109 )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(494,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(495,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ! [SY651: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY651 )
| ~ ! [SY652: mworld] :
( ~ ( mrel @ SY651 @ SY652 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY652 ) )
| ! [SY653: mworld] :
( ~ ( mrel @ SY651 @ SY653 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY653 ) ) )
| ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(496,plain,
! [SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld] :
( ( ( ~ ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) ) )
= $true )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(497,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ~ ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) ) )
= $false )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(498,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV82: mworld] :
( ( ( ~ ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $false )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(499,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(500,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV82: mworld] :
( ( ( ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(501,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) ) )
= $false )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(502,plain,
! [SV83: mworld,SV41: mworld,SV7: mworld,SV57: $i,SV25: $i] :
( ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(503,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV110: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV110 ) )
= $true )
| ( ( ! [SY671: $i] :
( ~ ( eiw_di @ SY671 @ SV110 )
| ! [SY672: mworld] :
( ~ ( mrel @ SV110 @ SY672 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY672 @ SY203 )
| ( member @ SY671 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY672 @ SY436 )
| ( member @ SY671 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(504,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV107: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( ! [SY657: $i] :
( ~ ( eiw_di @ SY657 @ SV107 )
| ! [SY658: mworld] :
( ~ ( mrel @ SV107 @ SY658 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY658 @ SY203 )
| ( member @ SY657 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY658 @ SY436 )
| ( member @ SY657 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(505,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV111: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV111 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV111 )
= $true )
| ( ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(506,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(507,plain,
! [SV85: mworld,SV27: $i,SV58: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) )
| ~ ! [SY675: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY675 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY675 ) )
| ! [SY676: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY676 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ SY676 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(508,plain,
! [SV10: mworld,SV44: mworld,SV70: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) ) )
= $true )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(509,plain,
! [SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld] :
( ( ( ~ ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) ) )
= $true )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(510,plain,
! [SV14: mworld,SV48: mworld,SV73: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld] :
( ( ( ~ ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) ) )
= $true )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(511,plain,
! [SV33: $i,SV63: $i,SV89: $i,SV74: mworld,SV49: mworld,SV15: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) ) )
= $false )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(512,plain,
! [SV97: mworld,SV89: $i,SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV33: $i] :
( ( ( qmltpeq @ SV33 @ SV63 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $false )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(513,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld] :
( ( ( ~ ! [SY638: mworld] :
( ~ ( mrel @ SV104 @ SY638 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY638 ) ) )
= $true )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(514,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld] :
( ( ( ~ ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) )
| ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) ) )
= $true )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(515,plain,
! [SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld] :
( ( ( ~ ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) ) )
= $true )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(516,plain,
! [SV37: $i,SV67: $i,SV92: $i,SV78: mworld,SV53: mworld,SV19: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) ) )
= $false )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(517,plain,
! [SV99: mworld,SV92: $i,SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i] :
( ( ( qmltpeq @ SV37 @ SV67 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $false )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(518,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( ! [SY664: $i] :
( ~ ( eiw_di @ SY664 @ SV108 )
| ~ ( ~ ! [SY665: mworld] :
( ~ ( mrel @ SV108 @ SY665 )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY665 @ SY157 )
| ( member @ SY664 @ SV22 @ SY157 ) )
| ! [SY399: mworld] :
( ~ ( mrel @ SY665 @ SY399 )
| ( member @ SY664 @ SV54 @ SY399 ) ) )
| ~ ! [SY668: mworld] :
( ~ ( mrel @ SV108 @ SY668 )
| ~ ! [SY401: mworld] :
( ~ ( mrel @ SY668 @ SY401 )
| ( member @ SY664 @ SV54 @ SY401 ) )
| ! [SY161: mworld] :
( ~ ( mrel @ SY668 @ SY161 )
| ( member @ SY664 @ SV22 @ SY161 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(519,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( ~ ( eiw_di @ SV112 @ SV106 )
| ~ ( ~ ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) )
| ~ ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(520,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV109 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV109 )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(521,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV113 )
| ( qmltpeq @ SV22 @ SV54 @ SV113 ) )
= $true )
| ( ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(522,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ! [SY651: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY651 )
| ~ ! [SY652: mworld] :
( ~ ( mrel @ SY651 @ SY652 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY652 ) )
| ! [SY653: mworld] :
( ~ ( mrel @ SY651 @ SY653 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY653 ) ) ) )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(523,plain,
! [SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV56: $i,SV24: $i,SV93: mworld] :
( ( ( ! [SY608: mworld] :
( ~ ( mrel @ SV93 @ SY608 )
| ( qmltpeq @ SV24 @ SV56 @ SY608 ) ) )
= $false )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(524,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV82: mworld] :
( ( ( ! [SY561: mworld] :
( ~ ( mrel @ SV82 @ SY561 )
| ( subset @ SV25 @ SV57 @ SY561 ) ) )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(525,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV82: mworld] :
( ( ( ! [SY562: mworld] :
( ~ ( mrel @ SV82 @ SY562 )
| ( subset @ SV57 @ SV25 @ SY562 ) ) )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(526,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV114: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV114 )
| ( subset @ SV25 @ SV57 @ SV114 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(527,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV115: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV115 )
| ( subset @ SV57 @ SV25 @ SV115 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(528,plain,
! [SV25: $i,SV57: $i,SV41: mworld,SV7: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ~ ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(529,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV83: mworld] :
( ( ( ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $false )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(530,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV110: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( ! [SY671: $i] :
( ~ ( eiw_di @ SY671 @ SV110 )
| ! [SY672: mworld] :
( ~ ( mrel @ SV110 @ SY672 )
| ~ ! [SY203: mworld] :
( ~ ( mrel @ SY672 @ SY203 )
| ( member @ SY671 @ SV27 @ SY203 ) )
| ! [SY436: mworld] :
( ~ ( mrel @ SY672 @ SY436 )
| ( member @ SY671 @ SV58 @ SY436 ) ) ) ) )
= $true )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(531,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV107: mworld,SV116: $i] :
( ( ( ~ ( eiw_di @ SV116 @ SV107 )
| ! [SY683: mworld] :
( ~ ( mrel @ SV107 @ SY683 )
| ~ ! [SY684: mworld] :
( ~ ( mrel @ SY683 @ SY684 )
| ( member @ SV116 @ SV27 @ SY684 ) )
| ! [SY685: mworld] :
( ~ ( mrel @ SY683 @ SY685 )
| ( member @ SV116 @ SV58 @ SY685 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(532,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV111: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV111 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV111 )
= $true )
| ( ( mrel @ SV85 @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(533,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV117: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV117 )
| ( subset @ SV27 @ SV58 @ SV117 ) )
= $true )
| ( ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(534,plain,
! [SV85: mworld,SV27: $i,SV58: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(535,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ! [SY675: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY675 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY675 ) )
| ! [SY676: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY676 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ SY676 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(536,plain,
! [SV10: mworld,SV44: mworld,SV70: mworld,SV86: $i,SV59: $i,SV28: $i,SV94: mworld] :
( ( ( ! [SY611: mworld] :
( ~ ( mrel @ SV94 @ SY611 )
| ( qmltpeq @ SV28 @ SV59 @ SY611 ) ) )
= $false )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(537,plain,
! [SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV61: $i,SV30: $i,SV95: mworld] :
( ( ( ! [SY614: mworld] :
( ~ ( mrel @ SV95 @ SY614 )
| ( qmltpeq @ SV30 @ SV61 @ SY614 ) ) )
= $false )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(538,plain,
! [SV14: mworld,SV48: mworld,SV73: mworld,SV88: $i,SV62: $i,SV32: $i,SV96: mworld] :
( ( ( ! [SY617: mworld] :
( ~ ( mrel @ SV96 @ SY617 )
| ( qmltpeq @ SV32 @ SV62 @ SY617 ) ) )
= $false )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(539,plain,
! [SV33: $i,SV63: $i,SV89: $i,SV74: mworld,SV49: mworld,SV15: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $true )
| ( ( ! [SY621: mworld] :
( ~ ( mrel @ SV97 @ SY621 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SY621 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(540,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV118: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV118 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV118 ) )
= $true )
| ( ( qmltpeq @ SV33 @ SV63 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $false )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(541,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld] :
( ( ( ! [SY638: mworld] :
( ~ ( mrel @ SV104 @ SY638 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY638 ) ) )
= $false )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(542,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld] :
( ( ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) )
| ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(543,plain,
! [SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i,SV35: $i,SV98: mworld] :
( ( ( ! [SY622: mworld] :
( ~ ( mrel @ SV98 @ SY622 )
| ( qmltpeq @ SV35 @ SV65 @ SY622 ) ) )
= $false )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(544,plain,
! [SV37: $i,SV67: $i,SV92: $i,SV78: mworld,SV53: mworld,SV19: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $true )
| ( ( ! [SY626: mworld] :
( ~ ( mrel @ SV99 @ SY626 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SY626 ) ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(545,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV119: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV119 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV119 ) )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $false )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(546,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( ~ ( eiw_di @ SV120 @ SV108 )
| ~ ( ~ ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) )
| ~ ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(547,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( ~ ( eiw_di @ SV112 @ SV106 ) )
= $true )
| ( ( ~ ( ~ ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) )
| ~ ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(548,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV113 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV113 )
= $true )
| ( ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(549,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY651: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY651 )
| ~ ! [SY652: mworld] :
( ~ ( mrel @ SY651 @ SY652 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY652 ) )
| ! [SY653: mworld] :
( ~ ( mrel @ SY651 @ SY653 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY653 ) ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(550,plain,
! [SV24: $i,SV56: $i,SV81: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
| ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) ) )
= $false )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[523]) ).
thf(551,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV121: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV121 )
| ( subset @ SV25 @ SV57 @ SV121 ) )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(552,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV122: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV122 )
| ( subset @ SV57 @ SV25 @ SV122 ) )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(553,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV114: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV114 ) )
= $true )
| ( ( subset @ SV25 @ SV57 @ SV114 )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(554,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV115: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV115 ) )
= $true )
| ( ( subset @ SV57 @ SV25 @ SV115 )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(555,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV83: mworld] :
( ( ( ! [SY564: mworld] :
( ~ ( mrel @ SV83 @ SY564 )
| ( subset @ SV57 @ SV25 @ SY564 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(556,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
| ( subset @ SV57 @ SV25 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) ) )
= $false )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[529]) ).
thf(557,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV110: mworld,SV123: $i] :
( ( ( ~ ( eiw_di @ SV123 @ SV110 )
| ! [SY692: mworld] :
( ~ ( mrel @ SV110 @ SY692 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY692 @ SY693 )
| ( member @ SV123 @ SV27 @ SY693 ) )
| ! [SY694: mworld] :
( ~ ( mrel @ SY692 @ SY694 )
| ( member @ SV123 @ SV58 @ SY694 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(558,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV107: mworld,SV116: $i] :
( ( ( ~ ( eiw_di @ SV116 @ SV107 ) )
= $true )
| ( ( ! [SY683: mworld] :
( ~ ( mrel @ SV107 @ SY683 )
| ~ ! [SY684: mworld] :
( ~ ( mrel @ SY683 @ SY684 )
| ( member @ SV116 @ SV27 @ SY684 ) )
| ! [SY685: mworld] :
( ~ ( mrel @ SY683 @ SY685 )
| ( member @ SV116 @ SV58 @ SY685 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(559,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV117: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV117 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV117 )
= $true )
| ( ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(560,plain,
! [SV85: mworld,SV27: $i,SV58: $i,SV43: mworld,SV9: mworld] :
( ( ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(561,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ! [SY675: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY675 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY675 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(562,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ! [SY676: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY676 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ SY676 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(563,plain,
! [SV28: $i,SV59: $i,SV86: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
| ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) ) )
= $false )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(564,plain,
! [SV30: $i,SV61: $i,SV87: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
| ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) ) )
= $false )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[537]) ).
thf(565,plain,
! [SV32: $i,SV62: $i,SV88: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
| ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[538]) ).
thf(566,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV124: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV124 )
| ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV124 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(567,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV118: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV118 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV118 )
= $true )
| ( ( qmltpeq @ SV33 @ SV63 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $false )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(568,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) ) )
= $false )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[541]) ).
thf(569,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV64: $i,SV34: $i,SV90: $i,SV105: mworld] :
( ( ( ! [SY641: mworld] :
( ~ ( mrel @ SV105 @ SY641 )
| ( member @ SV90 @ SV34 @ SY641 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(570,plain,
! [SV16: mworld,SV50: mworld,SV75: mworld,SV34: $i,SV64: $i,SV90: $i,SV105: mworld] :
( ( ( ! [SY642: mworld] :
( ~ ( mrel @ SV105 @ SY642 )
| ( member @ SV90 @ SV64 @ SY642 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(571,plain,
! [SV35: $i,SV65: $i,SV91: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
| ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) ) )
= $false )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[543]) ).
thf(572,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV125: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV125 )
| ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV125 ) )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(573,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV119: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV119 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV119 )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $false )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(574,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( ~ ( eiw_di @ SV120 @ SV108 ) )
= $true )
| ( ( ~ ( ~ ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) )
| ~ ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(575,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( ~ ( ~ ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) )
| ~ ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(576,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV113 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV113 )
= $true )
| ( ( eiw_di @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(577,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
| ~ ! [SY695: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY695 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY695 ) )
| ! [SY696: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY696 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY696 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[549]) ).
thf(578,plain,
! [SV24: $i,SV56: $i,SV81: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) ) )
= $false )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(579,plain,
! [SV93: mworld,SV81: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV56: $i,SV24: $i] :
( ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(580,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV121: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV121 ) )
= $true )
| ( ( subset @ SV25 @ SV57 @ SV121 )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(581,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV122: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV122 ) )
= $true )
| ( ( subset @ SV57 @ SV25 @ SV122 )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(582,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV114: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV114 )
= $false )
| ( ( subset @ SV25 @ SV57 @ SV114 )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(583,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV115: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV115 )
= $false )
| ( ( subset @ SV57 @ SV25 @ SV115 )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $false )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(584,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
| ( subset @ SV57 @ SV25 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[555]) ).
thf(585,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) ) )
= $false )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(586,plain,
! [SV83: mworld,SV7: mworld,SV41: mworld,SV25: $i,SV57: $i] :
( ( ( subset @ SV57 @ SV25 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(587,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV110: mworld,SV123: $i] :
( ( ( ~ ( eiw_di @ SV123 @ SV110 ) )
= $true )
| ( ( ! [SY692: mworld] :
( ~ ( mrel @ SV110 @ SY692 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY692 @ SY693 )
| ( member @ SV123 @ SV27 @ SY693 ) )
| ! [SY694: mworld] :
( ~ ( mrel @ SY692 @ SY694 )
| ( member @ SV123 @ SV58 @ SY694 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(588,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV107: mworld,SV116: $i] :
( ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( ! [SY683: mworld] :
( ~ ( mrel @ SV107 @ SY683 )
| ~ ! [SY684: mworld] :
( ~ ( mrel @ SY683 @ SY684 )
| ( member @ SV116 @ SV27 @ SY684 ) )
| ! [SY685: mworld] :
( ~ ( mrel @ SY683 @ SY685 )
| ( member @ SV116 @ SV58 @ SY685 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(589,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV117: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV117 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV117 )
= $true )
| ( ( eiw_di @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(590,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV126: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV126 )
| ( subset @ SV27 @ SV58 @ SV126 ) )
= $true )
| ( ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(591,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ! [SY675: mworld] :
( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SY675 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SY675 ) ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(592,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(593,plain,
! [SV28: $i,SV59: $i,SV86: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) ) )
= $false )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(594,plain,
! [SV94: mworld,SV86: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV28: $i] :
( ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(595,plain,
! [SV30: $i,SV61: $i,SV87: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) ) )
= $false )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(596,plain,
! [SV95: mworld,SV87: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV61: $i,SV30: $i] :
( ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(597,plain,
! [SV32: $i,SV62: $i,SV88: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(598,plain,
! [SV96: mworld,SV88: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV32: $i] :
( ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(599,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV124: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV124 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV124 )
= $true )
| ( ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(600,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV118: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV118 )
= $false )
| ( ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV118 )
= $true )
| ( ( qmltpeq @ SV33 @ SV63 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $false )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(601,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) ) )
= $false )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(602,plain,
! [SV104: mworld,SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i] :
( ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(603,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
| ( member @ SV90 @ SV34 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[569]) ).
thf(604,plain,
! [SV90: $i,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
| ( member @ SV90 @ SV64 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[570]) ).
thf(605,plain,
! [SV35: $i,SV65: $i,SV91: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) ) )
= $false )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(606,plain,
! [SV98: mworld,SV91: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV35: $i] :
( ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(607,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV125: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV125 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV125 )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(608,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV119: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ SV119 )
= $false )
| ( ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV119 )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $false )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(609,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( ~ ( ~ ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) )
| ~ ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(610,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) )
| ~ ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(611,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(612,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY695: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY695 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY695 ) )
| ! [SY696: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY696 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY696 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(613,plain,
! [SV24: $i,SV56: $i,SV81: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ~ ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(614,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV56: $i,SV81: $i,SV24: $i,SV93: mworld] :
( ( ( ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(615,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV121: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV121 )
= $false )
| ( ( subset @ SV25 @ SV57 @ SV121 )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(616,plain,
! [SV41: mworld,SV7: mworld,SV25: $i,SV57: $i,SV122: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV122 )
= $false )
| ( ( subset @ SV57 @ SV25 @ SV122 )
= $true )
| ( ( mrel @ SV82 @ ( sK9_SY560 @ SV7 @ SV41 @ SV57 @ SV25 @ SV82 ) )
= $true )
| ( ( mrel @ SV41 @ SV82 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(617,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(618,plain,
! [SV83: mworld,SV7: mworld,SV41: mworld,SV25: $i,SV57: $i] :
( ( ( subset @ SV57 @ SV25 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(619,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(620,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV127: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV127 )
| ( qmltpeq @ SV25 @ SV57 @ SV127 ) )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( subset @ SV57 @ SV25 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(621,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV110: mworld,SV123: $i] :
( ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( ! [SY692: mworld] :
( ~ ( mrel @ SV110 @ SY692 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY692 @ SY693 )
| ( member @ SV123 @ SV27 @ SY693 ) )
| ! [SY694: mworld] :
( ~ ( mrel @ SY692 @ SY694 )
| ( member @ SV123 @ SV58 @ SY694 ) ) ) )
= $true )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(622,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV116: $i,SV128: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV128 )
| ~ ! [SY697: mworld] :
( ~ ( mrel @ SV128 @ SY697 )
| ( member @ SV116 @ SV27 @ SY697 ) )
| ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(623,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV126: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV126 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV126 )
= $true )
| ( ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(624,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 )
| ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(625,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(626,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $false )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(627,plain,
! [SV28: $i,SV59: $i,SV86: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ~ ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(628,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV28: $i,SV86: $i,SV94: mworld] :
( ( ( ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(629,plain,
! [SV30: $i,SV61: $i,SV87: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ~ ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(630,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV61: $i,SV87: $i,SV30: $i,SV95: mworld] :
( ( ( ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $false )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(631,plain,
! [SV32: $i,SV62: $i,SV88: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ~ ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(632,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV32: $i,SV88: $i,SV96: mworld] :
( ( ( ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(633,plain,
! [SV74: mworld,SV49: mworld,SV15: mworld,SV63: $i,SV89: $i,SV33: $i,SV124: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV124 )
= $false )
| ( ( qmltpeq @ ( union @ SV33 @ SV89 ) @ ( union @ SV63 @ SV89 ) @ SV124 )
= $true )
| ( ( mrel @ SV97 @ ( sK15_SY620 @ SV15 @ SV49 @ SV74 @ SV89 @ SV63 @ SV33 @ SV97 ) )
= $true )
| ( ( mrel @ SV74 @ SV97 )
= $false )
| ( ( eiw_di @ SV89 @ SV74 )
= $false )
| ( ( mrel @ SV49 @ SV74 )
= $false )
| ( ( eiw_di @ SV63 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(634,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) )
| ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(635,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld] :
( ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) ) )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(636,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(637,plain,
! [SV105: mworld,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV34: $i,SV90: $i] :
( ( ( member @ SV90 @ SV34 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(638,plain,
! [SV90: $i,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(639,plain,
! [SV105: mworld,SV34: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV90: $i] :
( ( ( member @ SV90 @ SV64 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $false )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(640,plain,
! [SV35: $i,SV65: $i,SV91: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ~ ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(641,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV35: $i,SV91: $i,SV65: $i,SV98: mworld] :
( ( ( ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $false )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(642,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i,SV92: $i,SV125: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ SV125 )
= $false )
| ( ( qmltpeq @ ( union @ SV92 @ SV37 ) @ ( union @ SV92 @ SV67 ) @ SV125 )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY625 @ SV19 @ SV53 @ SV78 @ SV92 @ SV67 @ SV37 @ SV99 ) )
= $true )
| ( ( mrel @ SV78 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV78 )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(643,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) )
| ~ ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(644,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(645,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(646,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(647,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY695: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY695 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY695 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(648,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY696: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY696 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY696 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(649,plain,
! [SV56: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV24: $i,SV93: mworld] :
( ( ( ! [SY609: mworld] :
( ~ ( mrel @ SV93 @ SY609 )
| ( subset @ SV24 @ SV81 @ SY609 ) ) )
= $false )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(650,plain,
! [SV24: $i,SV81: $i,SV56: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
| ( subset @ SV24 @ SV81 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[614]) ).
thf(651,plain,
! [SV57: $i,SV25: $i,SV7: mworld,SV41: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( ! [SY565: mworld] :
( ~ ( mrel @ SV83 @ SY565 )
| ( qmltpeq @ SV25 @ SV57 @ SY565 ) ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(652,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV130: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV130 )
| ( qmltpeq @ SV25 @ SV57 @ SV130 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( subset @ SV57 @ SV25 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(653,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV131: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV131 )
| ( qmltpeq @ SV25 @ SV57 @ SV131 ) )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(654,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV127: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV127 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ SV127 )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( subset @ SV57 @ SV25 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(655,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV123: $i,SV132: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV132 )
| ~ ! [SY699: mworld] :
( ~ ( mrel @ SV132 @ SY699 )
| ( member @ SV123 @ SV27 @ SY699 ) )
| ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(656,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV116: $i,SV128: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV128 ) )
= $true )
| ( ( ~ ! [SY697: mworld] :
( ~ ( mrel @ SV128 @ SY697 )
| ( member @ SV116 @ SV27 @ SY697 ) )
| ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(657,plain,
! [SV43: mworld,SV9: mworld,SV58: $i,SV27: $i,SV126: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV126 )
= $true )
| ( ( mrel @ ( sK11_SY572 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(658,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 ) )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(659,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(660,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV133: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV133 )
| ( subset @ SV27 @ SV58 @ SV133 ) )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(661,plain,
! [SV59: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV86: $i,SV94: mworld] :
( ( ( ! [SY612: mworld] :
( ~ ( mrel @ SV94 @ SY612 )
| ( subset @ SV86 @ SV28 @ SY612 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(662,plain,
! [SV86: $i,SV28: $i,SV59: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
| ( subset @ SV86 @ SV28 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[628]) ).
thf(663,plain,
! [SV61: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV30: $i,SV95: mworld] :
( ( ( ! [SY615: mworld] :
( ~ ( mrel @ SV95 @ SY615 )
| ( member @ SV30 @ SV87 @ SY615 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(664,plain,
! [SV30: $i,SV87: $i,SV61: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
| ( member @ SV30 @ SV87 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) ) )
= $false )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[630]) ).
thf(665,plain,
! [SV62: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV96: mworld] :
( ( ( ! [SY618: mworld] :
( ~ ( mrel @ SV96 @ SY618 )
| ( member @ SV88 @ SV32 @ SY618 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(666,plain,
! [SV88: $i,SV32: $i,SV62: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
| ( member @ SV88 @ SV32 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[632]) ).
thf(667,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV104: mworld] :
( ( ( ! [SY639: mworld] :
( ~ ( mrel @ SV104 @ SY639 )
| ( member @ SV90 @ SV34 @ SY639 ) ) )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(668,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV134: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV134 )
| ( member @ SV90 @ SV34 @ SV134 ) )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(669,plain,
! [SV90: $i,SV34: $i,SV64: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $true )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(670,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV135: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV135 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV135 ) )
= $true )
| ( ( member @ SV90 @ SV34 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(671,plain,
! [SV90: $i,SV64: $i,SV34: $i,SV75: mworld,SV50: mworld,SV16: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $true )
| ( ( ! [SY643: mworld] :
( ~ ( mrel @ SV105 @ SY643 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SY643 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(672,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV136: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV136 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV136 ) )
= $true )
| ( ( member @ SV90 @ SV64 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(673,plain,
! [SV35: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV65: $i,SV98: mworld] :
( ( ( ! [SY623: mworld] :
( ~ ( mrel @ SV98 @ SY623 )
| ( qmltpeq @ SV65 @ SV91 @ SY623 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(674,plain,
! [SV65: $i,SV91: $i,SV35: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
| ( qmltpeq @ SV65 @ SV91 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) ) )
= $false )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(675,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(676,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(677,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ! [SY677: mworld] :
( ~ ( mrel @ SV106 @ SY677 )
| ~ ! [SY678: mworld] :
( ~ ( mrel @ SY677 @ SY678 )
| ( member @ SV112 @ SV22 @ SY678 ) )
| ! [SY679: mworld] :
( ~ ( mrel @ SY677 @ SY679 )
| ( member @ SV112 @ SV54 @ SY679 ) ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(678,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV106: mworld] :
( ( ( ! [SY680: mworld] :
( ~ ( mrel @ SV106 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( member @ SV112 @ SV54 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( member @ SV112 @ SV22 @ SY682 ) ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(679,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(680,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY695: mworld] :
( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY695 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY695 ) ) )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(681,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[648]) ).
thf(682,plain,
! [SV24: $i,SV81: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV56: $i,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
| ( subset @ SV24 @ SV81 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) ) )
= $false )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(683,plain,
! [SV24: $i,SV81: $i,SV56: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(684,plain,
! [SV93: mworld,SV56: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV81: $i,SV24: $i] :
( ( ( subset @ SV24 @ SV81 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(685,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV137: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV137 )
| ( qmltpeq @ SV25 @ SV57 @ SV137 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(686,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV130: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV130 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ SV130 )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( subset @ SV57 @ SV25 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(687,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV131: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV131 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ SV131 )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(688,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV127: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV127 )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ SV127 )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( subset @ SV57 @ SV25 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(689,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV123: $i,SV132: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV132 ) )
= $true )
| ( ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SV132 @ SY699 )
| ( member @ SV123 @ SV27 @ SY699 ) )
| ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(690,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV116: $i,SV128: mworld,SV107: mworld] :
( ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( ~ ! [SY697: mworld] :
( ~ ( mrel @ SV128 @ SY697 )
| ( member @ SV116 @ SV27 @ SY697 ) )
| ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(691,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV85: mworld] :
( ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 )
= $false )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 )
= $true )
| ( ( ! [SY577: mworld] :
( ~ ( mrel @ SV85 @ SY577 )
| ( subset @ SV27 @ SV58 @ SY577 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(692,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV138: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV138 )
| ( subset @ SV27 @ SV58 @ SV138 ) )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(693,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV133: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV133 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV133 )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(694,plain,
! [SV86: $i,SV28: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV59: $i,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
| ( subset @ SV86 @ SV28 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[661]) ).
thf(695,plain,
! [SV86: $i,SV28: $i,SV59: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(696,plain,
! [SV94: mworld,SV59: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV28: $i,SV86: $i] :
( ( ( subset @ SV86 @ SV28 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(697,plain,
! [SV30: $i,SV87: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV61: $i,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
| ( member @ SV30 @ SV87 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[663]) ).
thf(698,plain,
! [SV30: $i,SV87: $i,SV61: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) ) )
= $false )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(699,plain,
! [SV95: mworld,SV61: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV87: $i,SV30: $i] :
( ( ( member @ SV30 @ SV87 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(700,plain,
! [SV88: $i,SV32: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV62: $i,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
| ( member @ SV88 @ SV32 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[665]) ).
thf(701,plain,
! [SV88: $i,SV32: $i,SV62: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(702,plain,
! [SV96: mworld,SV62: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV32: $i,SV88: $i] :
( ( ( member @ SV88 @ SV32 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(703,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV139: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV139 )
| ( member @ SV90 @ SV34 @ SV139 ) )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(704,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV134: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV134 ) )
= $true )
| ( ( member @ SV90 @ SV34 @ SV134 )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(705,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV140: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV140 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV140 ) )
= $true )
| ( ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(706,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV135: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV135 ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV135 )
= $true )
| ( ( member @ SV90 @ SV34 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(707,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV141: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV141 )
| ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV141 ) )
= $true )
| ( ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(708,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV136: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV136 ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV136 )
= $true )
| ( ( member @ SV90 @ SV64 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(709,plain,
! [SV65: $i,SV91: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV35: $i,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
| ( qmltpeq @ SV65 @ SV91 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[673]) ).
thf(710,plain,
! [SV65: $i,SV91: $i,SV35: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) ) )
= $false )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(711,plain,
! [SV98: mworld,SV35: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV91: $i,SV65: $i] :
( ( ( qmltpeq @ SV65 @ SV91 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(712,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ! [SY686: mworld] :
( ~ ( mrel @ SV108 @ SY686 )
| ~ ! [SY687: mworld] :
( ~ ( mrel @ SY686 @ SY687 )
| ( member @ SV120 @ SV22 @ SY687 ) )
| ! [SY688: mworld] :
( ~ ( mrel @ SY686 @ SY688 )
| ( member @ SV120 @ SV54 @ SY688 ) ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(713,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV108: mworld] :
( ( ( ! [SY689: mworld] :
( ~ ( mrel @ SV108 @ SY689 )
| ~ ! [SY690: mworld] :
( ~ ( mrel @ SY689 @ SY690 )
| ( member @ SV120 @ SV54 @ SY690 ) )
| ! [SY691: mworld] :
( ~ ( mrel @ SY689 @ SY691 )
| ( member @ SV120 @ SV22 @ SY691 ) ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(714,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV142 )
| ~ ! [SY701: mworld] :
( ~ ( mrel @ SV142 @ SY701 )
| ( member @ SV112 @ SV22 @ SY701 ) )
| ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(715,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV143 )
| ~ ! [SY703: mworld] :
( ~ ( mrel @ SV143 @ SY703 )
| ( member @ SV112 @ SV54 @ SY703 ) )
| ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(716,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
| ~ ! [SY705: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY705 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY706 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY706 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[679]) ).
thf(717,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 ) )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(718,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(719,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(720,plain,
! [SV24: $i,SV81: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV56: $i,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) ) )
= $false )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(721,plain,
! [SV93: mworld,SV6: mworld,SV40: mworld,SV69: mworld,SV56: $i,SV81: $i,SV24: $i] :
( ( ( subset @ SV24 @ SV81 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(722,plain,
! [SV24: $i,SV81: $i,SV56: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(723,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV145: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV145 )
| ( subset @ SV56 @ SV81 @ SV145 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( subset @ SV24 @ SV81 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(724,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV137: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV137 ) )
= $true )
| ( ( qmltpeq @ SV25 @ SV57 @ SV137 )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(725,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV130: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV130 )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ SV130 )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( subset @ SV57 @ SV25 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $false )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(726,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV131: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV131 )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ SV131 )
= $true )
| ( ( subset @ SV25 @ SV57 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $false )
| ( ( mrel @ SV83 @ ( sK19_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(727,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV58: $i,SV27: $i,SV123: $i,SV132: mworld,SV110: mworld] :
( ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SV132 @ SY699 )
| ( member @ SV123 @ SV27 @ SY699 ) )
| ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(728,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV107: mworld,SV58: $i,SV27: $i,SV116: $i,SV128: mworld] :
( ( ( ~ ! [SY697: mworld] :
( ~ ( mrel @ SV128 @ SY697 )
| ( member @ SV116 @ SV27 @ SY697 ) ) )
= $true )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(729,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV146: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV146 )
| ( subset @ SV27 @ SV58 @ SV146 ) )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(730,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV138: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV138 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV138 )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(731,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV133: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV133 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV133 )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV58 @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(732,plain,
! [SV86: $i,SV28: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV59: $i,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(733,plain,
! [SV94: mworld,SV10: mworld,SV44: mworld,SV70: mworld,SV59: $i,SV28: $i,SV86: $i] :
( ( ( subset @ SV86 @ SV28 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(734,plain,
! [SV86: $i,SV28: $i,SV59: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(735,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV147: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV147 )
| ( subset @ SV86 @ SV59 @ SV147 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( subset @ SV86 @ SV28 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(736,plain,
! [SV30: $i,SV87: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV61: $i,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(737,plain,
! [SV95: mworld,SV12: mworld,SV46: mworld,SV72: mworld,SV61: $i,SV87: $i,SV30: $i] :
( ( ( member @ SV30 @ SV87 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(738,plain,
! [SV30: $i,SV87: $i,SV61: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(739,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV148: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV148 )
| ( member @ SV61 @ SV87 @ SV148 ) )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( member @ SV30 @ SV87 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(740,plain,
! [SV88: $i,SV32: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV62: $i,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(741,plain,
! [SV96: mworld,SV14: mworld,SV48: mworld,SV73: mworld,SV62: $i,SV32: $i,SV88: $i] :
( ( ( member @ SV88 @ SV32 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(742,plain,
! [SV88: $i,SV32: $i,SV62: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(743,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV149: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV149 )
| ( member @ SV88 @ SV62 @ SV149 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( member @ SV88 @ SV32 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(744,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV139: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV139 ) )
= $true )
| ( ( member @ SV90 @ SV34 @ SV139 )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(745,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV134: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV134 )
= $false )
| ( ( member @ SV90 @ SV34 @ SV134 )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(746,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV140: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV140 ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV140 )
= $true )
| ( ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(747,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV135: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV135 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV135 )
= $true )
| ( ( member @ SV90 @ SV34 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(748,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV141: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV141 ) )
= $true )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV141 )
= $true )
| ( ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(749,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV136: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV136 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV136 )
= $true )
| ( ( member @ SV90 @ SV64 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $false )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(750,plain,
! [SV65: $i,SV91: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV35: $i,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(751,plain,
! [SV98: mworld,SV17: mworld,SV51: mworld,SV76: mworld,SV35: $i,SV91: $i,SV65: $i] :
( ( ( qmltpeq @ SV65 @ SV91 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(752,plain,
! [SV65: $i,SV91: $i,SV35: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(753,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV150: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV150 )
| ( qmltpeq @ SV35 @ SV91 @ SV150 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(754,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 )
| ~ ! [SY707: mworld] :
( ~ ( mrel @ SV151 @ SY707 )
| ( member @ SV120 @ SV22 @ SY707 ) )
| ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(755,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV152 )
| ~ ! [SY709: mworld] :
( ~ ( mrel @ SV152 @ SY709 )
| ( member @ SV120 @ SV54 @ SY709 ) )
| ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(756,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV142 ) )
= $true )
| ( ( ~ ! [SY701: mworld] :
( ~ ( mrel @ SV142 @ SY701 )
| ( member @ SV112 @ SV22 @ SY701 ) )
| ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(757,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV143 ) )
= $true )
| ( ( ~ ! [SY703: mworld] :
( ~ ( mrel @ SV143 @ SY703 )
| ( member @ SV112 @ SV54 @ SY703 ) )
| ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(758,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(759,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY705: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY705 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY706 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY706 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(760,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(761,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(762,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(763,plain,
! [SV24: $i,SV81: $i,SV6: mworld,SV40: mworld,SV69: mworld,SV56: $i,SV93: mworld] :
( ( ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( ! [SY610: mworld] :
( ~ ( mrel @ SV93 @ SY610 )
| ( subset @ SV56 @ SV81 @ SY610 ) ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(764,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV153: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV153 )
| ( subset @ SV56 @ SV81 @ SV153 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( subset @ SV24 @ SV81 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(765,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV154: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV154 )
| ( subset @ SV56 @ SV81 @ SV154 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(766,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV145: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV145 ) )
= $true )
| ( ( subset @ SV56 @ SV81 @ SV145 )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( subset @ SV24 @ SV81 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(767,plain,
! [SV41: mworld,SV7: mworld,SV57: $i,SV25: $i,SV137: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV137 )
= $false )
| ( ( qmltpeq @ SV25 @ SV57 @ SV137 )
= $true )
| ( ( mrel @ SV83 @ ( sK14_SY563 @ SV7 @ SV41 @ SV57 @ SV25 @ SV83 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK26_SY564 @ SV41 @ SV7 @ SV25 @ SV57 @ SV83 ) )
= $true )
| ( ( mrel @ SV41 @ SV83 )
= $false )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(768,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV110: mworld,SV58: $i,SV27: $i,SV123: $i,SV132: mworld] :
( ( ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SV132 @ SY699 )
| ( member @ SV123 @ SV27 @ SY699 ) ) )
= $true )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(769,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV107: mworld,SV58: $i,SV27: $i,SV116: $i,SV128: mworld] :
( ( ( ! [SY697: mworld] :
( ~ ( mrel @ SV128 @ SY697 )
| ( member @ SV116 @ SV27 @ SY697 ) ) )
= $false )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(770,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV146: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV146 ) )
= $true )
| ( ( subset @ SV27 @ SV58 @ SV146 )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(771,plain,
! [SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV138: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV138 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV138 )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ ( sK27_SY676 @ SV9 @ SV43 @ SV58 @ SV27 @ SV85 ) )
= $true )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(772,plain,
! [SV86: $i,SV28: $i,SV10: mworld,SV44: mworld,SV70: mworld,SV59: $i,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY613: mworld] :
( ~ ( mrel @ SV94 @ SY613 )
| ( subset @ SV86 @ SV59 @ SY613 ) ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(773,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV155: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV155 )
| ( subset @ SV86 @ SV59 @ SV155 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( subset @ SV86 @ SV28 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(774,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV156: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV156 )
| ( subset @ SV86 @ SV59 @ SV156 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(775,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV147: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV147 ) )
= $true )
| ( ( subset @ SV86 @ SV59 @ SV147 )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( subset @ SV86 @ SV28 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(776,plain,
! [SV30: $i,SV87: $i,SV12: mworld,SV46: mworld,SV72: mworld,SV61: $i,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( ! [SY616: mworld] :
( ~ ( mrel @ SV95 @ SY616 )
| ( member @ SV61 @ SV87 @ SY616 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(777,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV157: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV157 )
| ( member @ SV61 @ SV87 @ SV157 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( member @ SV30 @ SV87 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(778,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV158: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV158 )
| ( member @ SV61 @ SV87 @ SV158 ) )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(779,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV148: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV148 ) )
= $true )
| ( ( member @ SV61 @ SV87 @ SV148 )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( member @ SV30 @ SV87 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(780,plain,
! [SV88: $i,SV32: $i,SV14: mworld,SV48: mworld,SV73: mworld,SV62: $i,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( ! [SY619: mworld] :
( ~ ( mrel @ SV96 @ SY619 )
| ( member @ SV88 @ SV62 @ SY619 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(781,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV159: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV159 )
| ( member @ SV88 @ SV62 @ SV159 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( member @ SV88 @ SV32 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(782,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV160: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV160 )
| ( member @ SV88 @ SV62 @ SV160 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(783,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV149: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV149 ) )
= $true )
| ( ( member @ SV88 @ SV62 @ SV149 )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( member @ SV88 @ SV32 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(784,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV139: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV139 )
= $false )
| ( ( member @ SV90 @ SV34 @ SV139 )
= $true )
| ( ( ! [SY640: mworld] :
( ~ ( mrel @ SV104 @ SY640 )
| ( member @ SV90 @ SV64 @ SY640 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(785,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV134: mworld,SV34: $i,SV64: $i,SV90: $i,SV161: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV161 )
| ( member @ SV90 @ SV64 @ SV161 ) )
= $true )
| ( ( member @ SV90 @ SV34 @ SV134 )
= $true )
| ( ( mrel @ SV104 @ SV134 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(786,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV140: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV140 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV140 )
= $true )
| ( ( mrel @ SV105 @ ( sK28_SY641 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(787,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV64: $i,SV34: $i,SV90: $i,SV141: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV141 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ SV141 )
= $true )
| ( ( mrel @ SV105 @ ( sK29_SY642 @ SV16 @ SV50 @ SV75 @ SV34 @ SV64 @ SV90 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(788,plain,
! [SV65: $i,SV91: $i,SV17: mworld,SV51: mworld,SV76: mworld,SV35: $i,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( ! [SY624: mworld] :
( ~ ( mrel @ SV98 @ SY624 )
| ( qmltpeq @ SV35 @ SV91 @ SY624 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(789,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV162: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV162 )
| ( qmltpeq @ SV35 @ SV91 @ SV162 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(790,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV163: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV163 )
| ( qmltpeq @ SV35 @ SV91 @ SV163 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(791,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV150: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV150 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV91 @ SV150 )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(792,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 ) )
= $true )
| ( ( ~ ! [SY707: mworld] :
( ~ ( mrel @ SV151 @ SY707 )
| ( member @ SV120 @ SV22 @ SY707 ) )
| ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(793,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV152 ) )
= $true )
| ( ( ~ ! [SY709: mworld] :
( ~ ( mrel @ SV152 @ SY709 )
| ( member @ SV120 @ SV54 @ SY709 ) )
| ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(794,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( ~ ! [SY701: mworld] :
( ~ ( mrel @ SV142 @ SY701 )
| ( member @ SV112 @ SV22 @ SY701 ) )
| ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(795,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( ~ ! [SY703: mworld] :
( ~ ( mrel @ SV143 @ SY703 )
| ( member @ SV112 @ SV54 @ SY703 ) )
| ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(796,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(797,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY705: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY705 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY705 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(798,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY706: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY706 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY706 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(799,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( ~ ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(800,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(801,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
| ~ ! [SY711: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY711 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY711 ) )
| ! [SY712: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY712 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY712 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[762]) ).
thf(802,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV164: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV164 )
| ( subset @ SV56 @ SV81 @ SV164 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(803,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV153: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV153 ) )
= $true )
| ( ( subset @ SV56 @ SV81 @ SV153 )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( subset @ SV24 @ SV81 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(804,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV154: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV154 ) )
= $true )
| ( ( subset @ SV56 @ SV81 @ SV154 )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(805,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV145: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV145 )
= $false )
| ( ( subset @ SV56 @ SV81 @ SV145 )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( subset @ SV24 @ SV81 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(806,plain,
! [SV43: mworld,SV9: mworld,SV84: mworld,SV110: mworld,SV58: $i,SV27: $i,SV123: $i,SV132: mworld] :
( ( ( ! [SY699: mworld] :
( ~ ( mrel @ SV132 @ SY699 )
| ( member @ SV123 @ SV27 @ SY699 ) ) )
= $false )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(807,plain,
! [SV116: $i,SV27: $i,SV58: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
| ( member @ SV116 @ SV27 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) ) )
= $false )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[769]) ).
thf(808,plain,
! [SV129: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV27: $i,SV146: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV146 )
= $false )
| ( ( subset @ SV27 @ SV58 @ SV146 )
= $true )
| ( ( member @ ( sK13_SY634 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV27 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY661 @ SV85 @ SV27 @ SV58 @ SV43 @ SV9 ) @ SV129 )
= $false )
| ( ( mrel @ SV43 @ SV85 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(809,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV165: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV165 )
| ( subset @ SV86 @ SV59 @ SV165 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(810,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV155: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV155 ) )
= $true )
| ( ( subset @ SV86 @ SV59 @ SV155 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( subset @ SV86 @ SV28 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(811,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV156: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV156 ) )
= $true )
| ( ( subset @ SV86 @ SV59 @ SV156 )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(812,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV147: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV147 )
= $false )
| ( ( subset @ SV86 @ SV59 @ SV147 )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( subset @ SV86 @ SV28 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(813,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV166: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV166 )
| ( member @ SV61 @ SV87 @ SV166 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(814,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV157: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV157 ) )
= $true )
| ( ( member @ SV61 @ SV87 @ SV157 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( member @ SV30 @ SV87 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(815,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV158: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV158 ) )
= $true )
| ( ( member @ SV61 @ SV87 @ SV158 )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(816,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV148: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV148 )
= $false )
| ( ( member @ SV61 @ SV87 @ SV148 )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( member @ SV30 @ SV87 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(817,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV167: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV167 )
| ( member @ SV88 @ SV62 @ SV167 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(818,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV159: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV159 ) )
= $true )
| ( ( member @ SV88 @ SV62 @ SV159 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( member @ SV88 @ SV32 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(819,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV160: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV160 ) )
= $true )
| ( ( member @ SV88 @ SV62 @ SV160 )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(820,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV149: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV149 )
= $false )
| ( ( member @ SV88 @ SV62 @ SV149 )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( member @ SV88 @ SV32 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(821,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV139: mworld,SV34: $i,SV64: $i,SV90: $i,SV168: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV168 )
| ( member @ SV90 @ SV64 @ SV168 ) )
= $true )
| ( ( member @ SV90 @ SV34 @ SV139 )
= $true )
| ( ( mrel @ SV104 @ SV139 )
= $false )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(822,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV134: mworld,SV34: $i,SV64: $i,SV90: $i,SV161: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV161 ) )
= $true )
| ( ( member @ SV90 @ SV64 @ SV161 )
= $true )
| ( ( member @ SV90 @ SV34 @ SV134 )
= $true )
| ( ( mrel @ SV104 @ SV134 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(823,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV169: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV169 )
| ( qmltpeq @ SV35 @ SV91 @ SV169 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(824,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV162: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV162 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV91 @ SV162 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(825,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV163: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV163 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV91 @ SV163 )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(826,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV150: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV150 )
= $false )
| ( ( qmltpeq @ SV35 @ SV91 @ SV150 )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(827,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( ~ ! [SY707: mworld] :
( ~ ( mrel @ SV151 @ SY707 )
| ( member @ SV120 @ SV22 @ SY707 ) )
| ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(828,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( ~ ! [SY709: mworld] :
( ~ ( mrel @ SV152 @ SY709 )
| ( member @ SV120 @ SV54 @ SY709 ) )
| ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(829,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV106: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld] :
( ( ( ~ ! [SY701: mworld] :
( ~ ( mrel @ SV142 @ SY701 )
| ( member @ SV112 @ SV22 @ SY701 ) ) )
= $true )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(830,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV106: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld] :
( ( ( ~ ! [SY703: mworld] :
( ~ ( mrel @ SV143 @ SY703 )
| ( member @ SV112 @ SV54 @ SY703 ) ) )
= $true )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(831,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV170 )
| ( qmltpeq @ SV22 @ SV54 @ SV170 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(832,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY705: mworld] :
( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY705 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY705 ) ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(833,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[798]) ).
thf(834,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ! [SY654: mworld] :
( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY654 )
| ~ ! [SY655: mworld] :
( ~ ( mrel @ SY654 @ SY655 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY655 ) )
| ! [SY656: mworld] :
( ~ ( mrel @ SY654 @ SY656 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY656 ) ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(835,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
| ~ ! [SY713: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY713 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY713 ) )
| ! [SY714: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY714 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY714 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[800]) ).
thf(836,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(837,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY711: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY711 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY711 ) )
| ! [SY712: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY712 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY712 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(838,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV164: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV164 ) )
= $true )
| ( ( subset @ SV56 @ SV81 @ SV164 )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(839,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV153: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV153 )
= $false )
| ( ( subset @ SV56 @ SV81 @ SV153 )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( subset @ SV24 @ SV81 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(840,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV24: $i,SV81: $i,SV56: $i,SV154: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV154 )
= $false )
| ( ( subset @ SV56 @ SV81 @ SV154 )
= $true )
| ( ( qmltpeq @ SV24 @ SV56 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $false )
| ( ( mrel @ SV93 @ ( sK30_SY609 @ SV69 @ SV40 @ SV6 @ SV56 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(841,plain,
! [SV123: $i,SV27: $i,SV58: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
| ( member @ SV123 @ SV27 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) ) )
= $false )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[806]) ).
thf(842,plain,
! [SV116: $i,SV27: $i,SV58: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) ) )
= $false )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(843,plain,
! [SV128: mworld,SV58: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV116: $i] :
( ( ( member @ SV116 @ SV27 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $false )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(844,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV165: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV165 ) )
= $true )
| ( ( subset @ SV86 @ SV59 @ SV165 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(845,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV155: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV155 )
= $false )
| ( ( subset @ SV86 @ SV59 @ SV155 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( subset @ SV86 @ SV28 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $false )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(846,plain,
! [SV70: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV59: $i,SV86: $i,SV156: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV156 )
= $false )
| ( ( subset @ SV86 @ SV59 @ SV156 )
= $true )
| ( ( qmltpeq @ SV28 @ SV59 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK31_SY612 @ SV70 @ SV44 @ SV10 @ SV59 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(847,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV166: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV166 ) )
= $true )
| ( ( member @ SV61 @ SV87 @ SV166 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(848,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV157: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV157 )
= $false )
| ( ( member @ SV61 @ SV87 @ SV157 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( member @ SV30 @ SV87 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(849,plain,
! [SV72: mworld,SV46: mworld,SV12: mworld,SV30: $i,SV87: $i,SV61: $i,SV158: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV158 )
= $false )
| ( ( member @ SV61 @ SV87 @ SV158 )
= $true )
| ( ( qmltpeq @ SV30 @ SV61 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK32_SY615 @ SV72 @ SV46 @ SV12 @ SV61 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(850,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV167: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV167 ) )
= $true )
| ( ( member @ SV88 @ SV62 @ SV167 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(851,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV159: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV159 )
= $false )
| ( ( member @ SV88 @ SV62 @ SV159 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( member @ SV88 @ SV32 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $false )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(852,plain,
! [SV73: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV62: $i,SV88: $i,SV160: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV160 )
= $false )
| ( ( member @ SV88 @ SV62 @ SV160 )
= $true )
| ( ( qmltpeq @ SV32 @ SV62 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK33_SY618 @ SV73 @ SV48 @ SV14 @ SV62 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(853,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV139: mworld,SV34: $i,SV64: $i,SV90: $i,SV168: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV168 ) )
= $true )
| ( ( member @ SV90 @ SV64 @ SV168 )
= $true )
| ( ( member @ SV90 @ SV34 @ SV139 )
= $true )
| ( ( mrel @ SV104 @ SV139 )
= $false )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(854,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV134: mworld,SV34: $i,SV64: $i,SV90: $i,SV161: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV161 )
= $false )
| ( ( member @ SV90 @ SV64 @ SV161 )
= $true )
| ( ( member @ SV90 @ SV34 @ SV134 )
= $true )
| ( ( mrel @ SV104 @ SV134 )
= $false )
| ( ( member @ SV90 @ ( union @ SV34 @ SV64 ) @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $false )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(855,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV169: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV169 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV91 @ SV169 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(856,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV162: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV162 )
= $false )
| ( ( qmltpeq @ SV35 @ SV91 @ SV162 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV65 @ SV91 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(857,plain,
! [SV76: mworld,SV51: mworld,SV17: mworld,SV65: $i,SV91: $i,SV35: $i,SV163: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV163 )
= $false )
| ( ( qmltpeq @ SV35 @ SV91 @ SV163 )
= $true )
| ( ( qmltpeq @ SV35 @ SV65 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY623 @ SV76 @ SV51 @ SV17 @ SV35 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(858,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV108: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld] :
( ( ( ~ ! [SY707: mworld] :
( ~ ( mrel @ SV151 @ SY707 )
| ( member @ SV120 @ SV22 @ SY707 ) ) )
= $true )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(859,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV108: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld] :
( ( ( ~ ! [SY709: mworld] :
( ~ ( mrel @ SV152 @ SY709 )
| ( member @ SV120 @ SV54 @ SY709 ) ) )
= $true )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(860,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV106: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld] :
( ( ( ! [SY701: mworld] :
( ~ ( mrel @ SV142 @ SY701 )
| ( member @ SV112 @ SV22 @ SY701 ) ) )
= $false )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(861,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV106: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld] :
( ( ( ! [SY703: mworld] :
( ~ ( mrel @ SV143 @ SY703 )
| ( member @ SV112 @ SV54 @ SY703 ) ) )
= $false )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(862,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV170 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV170 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(863,plain,
! [SV171: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(864,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(865,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(866,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
| ~ ! [SY715: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY715 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY715 ) )
| ! [SY716: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY716 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY716 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[834]) ).
thf(867,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(868,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY713: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY713 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY713 ) )
| ! [SY714: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY714 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY714 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(869,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(870,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY711: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY711 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY711 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(871,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY712: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY712 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY712 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(872,plain,
! [SV24: $i,SV69: mworld,SV40: mworld,SV6: mworld,SV81: $i,SV56: $i,SV164: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV164 )
= $false )
| ( ( subset @ SV56 @ SV81 @ SV164 )
= $true )
| ( ( mrel @ SV93 @ ( sK18_SY608 @ SV6 @ SV40 @ SV69 @ SV81 @ SV56 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK36_SY609 @ SV56 @ SV69 @ SV40 @ SV6 @ SV81 @ SV24 @ SV93 ) )
= $true )
| ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV69 )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(873,plain,
! [SV123: $i,SV27: $i,SV58: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) ) )
= $false )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[841]) ).
thf(874,plain,
! [SV132: mworld,SV58: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV123: $i] :
( ( ( member @ SV123 @ SV27 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $false )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[841]) ).
thf(875,plain,
! [SV116: $i,SV27: $i,SV58: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $true )
| ( ( ! [SY698: mworld] :
( ~ ( mrel @ SV128 @ SY698 )
| ( member @ SV116 @ SV58 @ SY698 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(876,plain,
! [SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV116: $i,SV172: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV172 )
| ( member @ SV116 @ SV58 @ SV172 ) )
= $true )
| ( ( member @ SV116 @ SV27 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(877,plain,
! [SV28: $i,SV70: mworld,SV44: mworld,SV10: mworld,SV59: $i,SV86: $i,SV165: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV165 )
= $false )
| ( ( subset @ SV86 @ SV59 @ SV165 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY611 @ SV10 @ SV44 @ SV70 @ SV86 @ SV59 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK37_SY612 @ SV59 @ SV70 @ SV44 @ SV10 @ SV28 @ SV86 @ SV94 ) )
= $true )
| ( ( mrel @ SV70 @ SV94 )
= $false )
| ( ( eiw_di @ SV86 @ SV70 )
= $false )
| ( ( mrel @ SV44 @ SV70 )
= $false )
| ( ( eiw_di @ SV59 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(878,plain,
! [SV30: $i,SV72: mworld,SV46: mworld,SV12: mworld,SV87: $i,SV61: $i,SV166: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV166 )
= $false )
| ( ( member @ SV61 @ SV87 @ SV166 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY614 @ SV12 @ SV46 @ SV72 @ SV87 @ SV61 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK38_SY615 @ SV61 @ SV72 @ SV46 @ SV12 @ SV87 @ SV30 @ SV95 ) )
= $true )
| ( ( mrel @ SV72 @ SV95 )
= $false )
| ( ( eiw_di @ SV87 @ SV72 )
= $false )
| ( ( mrel @ SV46 @ SV72 )
= $false )
| ( ( eiw_di @ SV61 @ SV46 )
= $false )
| ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(879,plain,
! [SV32: $i,SV73: mworld,SV48: mworld,SV14: mworld,SV62: $i,SV88: $i,SV167: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV167 )
= $false )
| ( ( member @ SV88 @ SV62 @ SV167 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY617 @ SV14 @ SV48 @ SV73 @ SV88 @ SV62 @ SV32 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK39_SY618 @ SV62 @ SV73 @ SV48 @ SV14 @ SV32 @ SV88 @ SV96 ) )
= $true )
| ( ( mrel @ SV73 @ SV96 )
= $false )
| ( ( eiw_di @ SV88 @ SV73 )
= $false )
| ( ( mrel @ SV48 @ SV73 )
= $false )
| ( ( eiw_di @ SV62 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(880,plain,
! [SV75: mworld,SV50: mworld,SV16: mworld,SV139: mworld,SV34: $i,SV64: $i,SV90: $i,SV168: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV168 )
= $false )
| ( ( member @ SV90 @ SV64 @ SV168 )
= $true )
| ( ( member @ SV90 @ SV34 @ SV139 )
= $true )
| ( ( mrel @ SV104 @ SV139 )
= $false )
| ( ( mrel @ SV104 @ ( sK23_SY638 @ SV16 @ SV50 @ SV75 @ SV64 @ SV34 @ SV90 @ SV104 ) )
= $true )
| ( ( mrel @ SV75 @ SV104 )
= $false )
| ( ( eiw_di @ SV90 @ SV75 )
= $false )
| ( ( mrel @ SV50 @ SV75 )
= $false )
| ( ( eiw_di @ SV64 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(881,plain,
! [SV65: $i,SV76: mworld,SV51: mworld,SV17: mworld,SV91: $i,SV35: $i,SV169: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV169 )
= $false )
| ( ( qmltpeq @ SV35 @ SV91 @ SV169 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY622 @ SV17 @ SV51 @ SV76 @ SV91 @ SV65 @ SV35 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY623 @ SV35 @ SV76 @ SV51 @ SV17 @ SV91 @ SV65 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV91 @ SV76 )
= $false )
| ( ( mrel @ SV51 @ SV76 )
= $false )
| ( ( eiw_di @ SV65 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(882,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV108: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld] :
( ( ( ! [SY707: mworld] :
( ~ ( mrel @ SV151 @ SY707 )
| ( member @ SV120 @ SV22 @ SY707 ) ) )
= $false )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(883,plain,
! [SV38: mworld,SV4: mworld,SV79: mworld,SV108: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld] :
( ( ( ! [SY709: mworld] :
( ~ ( mrel @ SV152 @ SY709 )
| ( member @ SV120 @ SV54 @ SY709 ) ) )
= $false )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(884,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
| ( member @ SV112 @ SV22 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) ) )
= $false )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[860]) ).
thf(885,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
| ( member @ SV112 @ SV54 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) ) )
= $false )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[861]) ).
thf(886,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV170 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV170 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(887,plain,
! [SV171: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(888,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(889,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV173 )
| ( qmltpeq @ SV22 @ SV54 @ SV173 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(890,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(891,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ! [SY715: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY715 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY715 ) )
| ! [SY716: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY716 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY716 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(892,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(893,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY713: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY713 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY713 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(894,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY714: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY714 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY714 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(895,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV174 )
| ( qmltpeq @ SV22 @ SV54 @ SV174 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(896,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY711: mworld] :
( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY711 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY711 ) ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(897,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[871]) ).
thf(898,plain,
! [SV123: $i,SV27: $i,SV58: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV132: mworld] :
( ( ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $true )
| ( ( ! [SY700: mworld] :
( ~ ( mrel @ SV132 @ SY700 )
| ( member @ SV123 @ SV58 @ SY700 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(899,plain,
! [SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV123: $i,SV175: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV175 )
| ( member @ SV123 @ SV58 @ SV175 ) )
= $true )
| ( ( member @ SV123 @ SV27 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $false )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(900,plain,
! [SV27: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV116: $i,SV176: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV176 )
| ( member @ SV116 @ SV58 @ SV176 ) )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(901,plain,
! [SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV116: $i,SV172: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV172 ) )
= $true )
| ( ( member @ SV116 @ SV58 @ SV172 )
= $true )
| ( ( member @ SV116 @ SV27 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(902,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
| ( member @ SV120 @ SV22 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) ) )
= $false )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[882]) ).
thf(903,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
| ( member @ SV120 @ SV54 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) ) )
= $false )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[883]) ).
thf(904,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) ) )
= $false )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(905,plain,
! [SV142: mworld,SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV112: $i] :
( ( ( member @ SV112 @ SV22 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(906,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) ) )
= $false )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(907,plain,
! [SV143: mworld,SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV112: $i] :
( ( ( member @ SV112 @ SV54 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(908,plain,
! [SV171: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(909,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV177 )
| ( qmltpeq @ SV22 @ SV54 @ SV177 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(910,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV173 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV173 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(911,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(912,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ! [SY715: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY715 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY715 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(913,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ! [SY716: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY716 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SY716 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(914,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV178 )
| ( qmltpeq @ SV22 @ SV54 @ SV178 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(915,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY713: mworld] :
( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY713 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY713 ) ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(916,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(917,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV174 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV174 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(918,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(919,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(920,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(921,plain,
! [SV27: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV123: $i,SV180: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV180 )
| ( member @ SV123 @ SV58 @ SV180 ) )
= $true )
| ( ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(922,plain,
! [SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV123: $i,SV175: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV175 ) )
= $true )
| ( ( member @ SV123 @ SV58 @ SV175 )
= $true )
| ( ( member @ SV123 @ SV27 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $false )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(923,plain,
! [SV27: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV116: $i,SV176: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV176 ) )
= $true )
| ( ( member @ SV116 @ SV58 @ SV176 )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(924,plain,
! [SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV116: $i,SV172: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ SV172 )
= $false )
| ( ( member @ SV116 @ SV58 @ SV172 )
= $true )
| ( ( member @ SV116 @ SV27 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(925,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) ) )
= $false )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(926,plain,
! [SV151: mworld,SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV120: $i] :
( ( ( member @ SV120 @ SV22 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(927,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) ) )
= $false )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(928,plain,
! [SV152: mworld,SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV120: $i] :
( ( ( member @ SV120 @ SV54 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(929,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV142 @ SY702 )
| ( member @ SV112 @ SV54 @ SY702 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(930,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV181 )
| ( member @ SV112 @ SV54 @ SV181 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(931,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( ! [SY704: mworld] :
( ~ ( mrel @ SV143 @ SY704 )
| ( member @ SV112 @ SV22 @ SY704 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(932,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV182 )
| ( member @ SV112 @ SV22 @ SV182 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(933,plain,
! [SV171: mworld,SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV183 )
| ( qmltpeq @ SV22 @ SV54 @ SV183 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(934,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV177 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV177 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(935,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV173 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV173 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(936,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV184 )
| ( qmltpeq @ SV22 @ SV54 @ SV184 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(937,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ! [SY715: mworld] :
( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SY715 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SY715 ) ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(938,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[913]) ).
thf(939,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV178 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV178 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(940,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(941,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(942,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(943,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV174 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV174 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(944,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(945,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(946,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV186 )
| ( qmltpeq @ SV22 @ SV54 @ SV186 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(947,plain,
! [SV27: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV123: $i,SV180: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV180 ) )
= $true )
| ( ( member @ SV123 @ SV58 @ SV180 )
= $true )
| ( ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(948,plain,
! [SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV58: $i,SV123: $i,SV175: mworld,SV132: mworld] :
( ( ( mrel @ SV132 @ SV175 )
= $false )
| ( ( member @ SV123 @ SV58 @ SV175 )
= $true )
| ( ( member @ SV123 @ SV27 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $false )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(949,plain,
! [SV27: $i,SV107: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV116: $i,SV176: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ SV176 )
= $false )
| ( ( member @ SV116 @ SV58 @ SV176 )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY697 @ SV43 @ SV9 @ SV84 @ SV107 @ SV58 @ SV27 @ SV116 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV116 @ SV107 )
= $false )
| ( ( mrel @ SV84 @ SV107 )
= $false )
| ( ( subset @ SV27 @ SV58 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(950,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( ! [SY708: mworld] :
( ~ ( mrel @ SV151 @ SY708 )
| ( member @ SV120 @ SV54 @ SY708 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(951,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV187 )
| ( member @ SV120 @ SV54 @ SV187 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(952,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV152 @ SY710 )
| ( member @ SV120 @ SV22 @ SY710 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(953,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV188 )
| ( member @ SV120 @ SV22 @ SV188 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(954,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV189 )
| ( member @ SV112 @ SV54 @ SV189 ) )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(955,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV181 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ SV181 )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(956,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV190 )
| ( member @ SV112 @ SV22 @ SV190 ) )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(957,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV182 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ SV182 )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(958,plain,
! [SV171: mworld,SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV183 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV183 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(959,plain,
! [SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV177 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV177 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK44_SY706 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(960,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV184 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV184 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(961,plain,
! [SV191: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 )
| ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(962,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(963,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(964,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV178 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV178 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(965,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(966,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(967,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV192 )
| ( qmltpeq @ SV22 @ SV54 @ SV192 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(968,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(969,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV193 )
| ( qmltpeq @ SV22 @ SV54 @ SV193 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(970,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV186 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV186 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(971,plain,
! [SV27: $i,SV110: mworld,SV84: mworld,SV9: mworld,SV43: mworld,SV58: $i,SV123: $i,SV180: mworld,SV132: mworld] :
( ( ( mrel @ SV132 @ SV180 )
= $false )
| ( ( member @ SV123 @ SV58 @ SV180 )
= $true )
| ( ( mrel @ SV132 @ ( sK46_SY699 @ SV43 @ SV9 @ SV84 @ SV110 @ SV58 @ SV27 @ SV123 @ SV132 ) )
= $true )
| ( ( mrel @ SV110 @ SV132 )
= $false )
| ( ( eiw_di @ SV123 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ SV110 )
= $false )
| ( ( mrel @ SV84 @ ( sK10_SY566 @ SV9 @ SV43 @ SV58 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV58 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(972,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV194 )
| ( member @ SV120 @ SV54 @ SV194 ) )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(973,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV187 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ SV187 )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(974,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV195 )
| ( member @ SV120 @ SV22 @ SV195 ) )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(975,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV188 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ SV188 )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(976,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV189 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ SV189 )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(977,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ SV181 )
= $false )
| ( ( member @ SV112 @ SV54 @ SV181 )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(978,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV190 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ SV190 )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(979,plain,
! [SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ SV182 )
= $false )
| ( ( member @ SV112 @ SV22 @ SV182 )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(980,plain,
! [SV171: mworld,SV38: mworld,SV4: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV183 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV183 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(981,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV184 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV184 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY547 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(982,plain,
! [SV191: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(983,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(984,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV196 )
| ( qmltpeq @ SV22 @ SV54 @ SV196 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(985,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(986,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV197 )
| ( qmltpeq @ SV22 @ SV54 @ SV197 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(987,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV192 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV192 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(988,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV198 )
| ( qmltpeq @ SV22 @ SV54 @ SV198 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(989,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV193 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV193 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(990,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV186 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV186 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(991,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV194 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ SV194 )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(992,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ SV187 )
= $false )
| ( ( member @ SV120 @ SV54 @ SV187 )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(993,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV195 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ SV195 )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(994,plain,
! [SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ SV188 )
= $false )
| ( ( member @ SV120 @ SV22 @ SV188 )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(995,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ SV189 )
= $false )
| ( ( member @ SV112 @ SV54 @ SV189 )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY701 @ SV38 @ SV4 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(996,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ SV190 )
= $false )
| ( ( member @ SV112 @ SV22 @ SV190 )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY703 @ SV38 @ SV4 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(997,plain,
! [SV191: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( ! [SY555: mworld] :
( ~ ( mrel @ SV80 @ SY555 )
| ( qmltpeq @ SV22 @ SV54 @ SY555 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(998,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV199 )
| ( qmltpeq @ SV22 @ SV54 @ SV199 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(999,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV196 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV196 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1000,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV200 )
| ( qmltpeq @ SV22 @ SV54 @ SV200 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1001,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV197 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV197 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1002,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV192 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV192 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1003,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV198 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV198 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1004,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV193 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV193 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK50_SY712 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1005,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ SV194 )
= $false )
| ( ( member @ SV120 @ SV54 @ SV194 )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY707 @ SV38 @ SV4 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1006,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV4: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ SV195 )
= $false )
| ( ( member @ SV120 @ SV22 @ SV195 )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY709 @ SV38 @ SV4 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY538 @ SV4 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1007,plain,
! [SV191: mworld,SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV201 )
| ( qmltpeq @ SV22 @ SV54 @ SV201 ) )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1008,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV199 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV199 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1009,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV196 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV196 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1010,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV200 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV200 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1011,plain,
! [SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV197 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV197 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK53_SY714 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1012,plain,
! [SV179: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV198 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV198 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1013,plain,
! [SV191: mworld,SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV201 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV201 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1014,plain,
! [SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV199 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV199 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK54_SY716 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1015,plain,
! [SV185: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV200 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV200 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ ( sK35_SY696 @ SV4 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY654 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1016,plain,
! [SV191: mworld,SV144: mworld,SV4: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV201 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV201 )
= $true )
| ( ( mrel @ ( sK25_SY651 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY627 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY654 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV4 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV4 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1017,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,1016,1015,1014,1012,1011,1009,1006,1005,1004,1002,996,995,994,992,990,981,980,979,977,971,964,959,949,948,943,935,924,886,881,880,879,878,877,872,857,856,854,852,851,849,848,846,845,840,839,826,820,816,812,808,805,787,786,771,767,749,747,731,726,725,688,657,642,633,616,615,608,600,589,583,582,576,532,520,460,450,438,427,316,221,216,204,187,176,167,129,64]) ).
thf(1018,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL947^10 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 15:31:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.57/0.74
% 0.57/0.74 No.of.Axioms: 19
% 0.57/0.74
% 0.57/0.74 Length.of.Defs: 1613
% 0.57/0.74
% 0.57/0.74 Contains.Choice.Funs: false
% 0.80/1.00 (rf:0,axioms:19,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:21,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................................................................................
% 2.36/2.75
% 2.36/2.75 ********************************
% 2.36/2.75 * All subproblems solved! *
% 2.36/2.75 ********************************
% 2.36/2.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1017,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.11/3.37
% 3.11/3.37 %**** Beginning of derivation protocol ****
% 3.11/3.37 % SZS output start CNFRefutation
% See solution above
% 3.21/3.38
% 3.21/3.38 %**** End of derivation protocol ****
% 3.21/3.38 %**** no. of clauses in derivation: 1018 ****
% 3.21/3.38 %**** clause counter: 1017 ****
% 3.21/3.38
% 3.21/3.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1017,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------