%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:08 AM UTC 2026
% Result : Theorem 8.50s 1.62s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 26
% Syntax : Number of formulae : 678 ( 135 unt; 0 typ; 10 def)
% Number of atoms : 14541 (3882 equ; 0 cnn)
% Maximal formula atoms : 28 ( 21 avg)
% Number of connectives : 29495 (3708 ~;5632 |; 39 &;19859 @)
% ( 1 <=>; 256 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 68 usr; 11 con; 0-8 aty)
% Number of variables : 4900 ( 52 ^;4839 !; 9 ?;4900 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_empty,type,
empty: $i > mworld > $o ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_in,type,
in: $i > $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_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_SY1472,type,
sK10_SY1472: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK11_SY1474,type,
sK11_SY1474: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK12_SY1497,type,
sK12_SY1497: mworld > mworld ).
thf(tp_sK13_SY1484,type,
sK13_SY1484: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK14_SY1487,type,
sK14_SY1487: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK15_SY1481,type,
sK15_SY1481: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK16_SY1510,type,
sK16_SY1510: mworld > mworld ).
thf(tp_sK17_SY1482,type,
sK17_SY1482: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK18_SY1529,type,
sK18_SY1529: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK19_SY1482,type,
sK19_SY1482: $i > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK1_SY195,type,
sK1_SY195: mworld ).
thf(tp_sK20_SY1531,type,
sK20_SY1531: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK21_SY1516,type,
sK21_SY1516: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK22_SY1519,type,
sK22_SY1519: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK23_SY1522,type,
sK23_SY1522: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK24_SY1489,type,
sK24_SY1489: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK25_SY1517,type,
sK25_SY1517: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK26_SY1520,type,
sK26_SY1520: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK27_SY1523,type,
sK27_SY1523: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK28_SY1532,type,
sK28_SY1532: mworld > $i > mworld > mworld ).
thf(tp_sK29_SY1489,type,
sK29_SY1489: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY1517,type,
sK30_SY1517: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK31_SY1520,type,
sK31_SY1520: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK32_SY1523,type,
sK32_SY1523: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK33_SY1491,type,
sK33_SY1491: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK34_SY1533,type,
sK34_SY1533: mworld > $i > mworld > mworld ).
thf(tp_sK35_SY1537,type,
sK35_SY1537: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK36_SY1533,type,
sK36_SY1533: mworld > $i > mworld > mworld ).
thf(tp_sK37_SY1491,type,
sK37_SY1491: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK38_SY1491,type,
sK38_SY1491: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK39_SY1543,type,
sK39_SY1543: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY1548,type,
sK40_SY1548: mworld > $i > $i > mworld > mworld > mworld > $i ).
thf(tp_sK41_SY1553,type,
sK41_SY1553: mworld > $i > $i > mworld > mworld > mworld > $i ).
thf(tp_sK42_SY1491,type,
sK42_SY1491: mworld > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK43_SY1561,type,
sK43_SY1561: mworld > $i > $i > mworld > mworld > mworld > mworld ).
thf(tp_sK44_SY1565,type,
sK44_SY1565: mworld > $i > $i > mworld > mworld > mworld > mworld ).
thf(tp_sK45_SY1569,type,
sK45_SY1569: mworld > $i > $i > mworld > mworld > mworld > mworld > $i ).
thf(tp_sK46_SY1580,type,
sK46_SY1580: mworld > $i > $i > mworld > mworld > mworld > mworld > mworld ).
thf(tp_sK47_SY1584,type,
sK47_SY1584: mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK48_SY1588,type,
sK48_SY1588: mworld > mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK49_SY1589,type,
sK49_SY1589: mworld > mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK50_SY1590,type,
sK50_SY1590: mworld > mworld > mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK5_SY1194,type,
sK5_SY1194: mworld > $i ).
thf(tp_sK6_SY1259,type,
sK6_SY1259: mworld ).
thf(tp_sK7_SY1315,type,
sK7_SY1315: $i ).
thf(tp_sK8_SY1346,type,
sK8_SY1346: mworld ).
thf(tp_sK9_SY1364,type,
sK9_SY1364: mworld > mworld ).
thf(tp_singleton,type,
singleton: $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_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
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_def) ).
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_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mnot
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ ( singleton @ B ) ) ) ) )
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ empty_set ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ C @ A ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l45_zfmisc_1) ).
thf(2,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( mnot @ ( mbox @ ( empty @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(3,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( empty @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(4,axiom,
mlocal @ ( mbox @ ( empty @ empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(5,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( in @ A @ B ) ) @ ( mbox @ ( mnot @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(6,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 @ ( in @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_substitution_2) ).
thf(7,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 @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_substitution_1) ).
thf(8,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( empty @ A ) ) ) @ ( mbox @ ( empty @ B ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_substitution_1) ).
thf(9,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_substitution_1) ).
thf(10,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(11,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(12,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(13,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ V @ W ) )
=> ( eiw_di @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr) ).
thf(14,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(15,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(16,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mnot
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ ( singleton @ B ) ) ) ) )
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ empty_set ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ C @ A ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_zfmisc_1) ).
thf(17,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mnot
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ ( singleton @ B ) ) ) ) )
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ empty_set ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ C @ A ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,plain,
( ( ! [SY195: mworld] :
( ( mrel @ mactual @ SY195 )
=> ! [SY181: $i] :
( ( eiw_di @ SY181 @ SY195 )
=> ! [SY182: mworld] :
( ( mrel @ SY195 @ SY182 )
=> ! [SY154: $i] :
( ( eiw_di @ SY154 @ SY182 )
=> ! [SY155: mworld] :
( ( mrel @ SY182 @ SY155 )
=> ~ ( ! [SY156: mworld] :
( ( mrel @ SY155 @ SY156 )
=> ~ ! [SY157: mworld] :
( ( mrel @ SY156 @ SY157 )
=> ( qmltpeq @ SY181 @ ( singleton @ SY154 ) @ SY157 ) ) )
& ! [SY158: mworld] :
( ( mrel @ SY155 @ SY158 )
=> ~ ! [SY159: mworld] :
( ( mrel @ SY158 @ SY159 )
=> ( qmltpeq @ SY181 @ empty_set @ SY159 ) ) )
& ! [SY160: mworld] :
( ( mrel @ SY155 @ SY160 )
=> ! [SY161: $i] :
( ( eiw_di @ SY161 @ SY160 )
=> ! [SY162: mworld] :
( ( mrel @ SY160 @ SY162 )
=> ~ ( ! [SY163: mworld] :
( ( mrel @ SY162 @ SY163 )
=> ( in @ SY161 @ SY181 @ SY163 ) )
& ! [SY123: mworld] :
( ( mrel @ SY162 @ SY123 )
=> ~ ! [SY124: mworld] :
( ( mrel @ SY123 @ SY124 )
=> ( qmltpeq @ SY161 @ SY154 @ SY124 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(19,plain,
( ( ! [SY420: mworld] :
( ( mrel @ mactual @ SY420 )
=> ! [SY406: $i] :
( ( eiw_di @ SY406 @ SY420 )
=> ! [SY407: mworld] :
( ( mrel @ SY420 @ SY407 )
=> ! [SY379: $i] :
( ( eiw_di @ SY379 @ SY407 )
=> ! [SY380: mworld] :
( ( mrel @ SY407 @ SY380 )
=> ~ ( ! [SY381: mworld] :
( ( mrel @ SY380 @ SY381 )
=> ~ ! [SY382: mworld] :
( ( mrel @ SY381 @ SY382 )
=> ( qmltpeq @ SY406 @ ( singleton @ SY379 ) @ SY382 ) ) )
& ! [SY383: mworld] :
( ( mrel @ SY380 @ SY383 )
=> ~ ! [SY384: mworld] :
( ( mrel @ SY383 @ SY384 )
=> ( qmltpeq @ SY406 @ empty_set @ SY384 ) ) )
& ! [SY385: mworld] :
( ( mrel @ SY380 @ SY385 )
=> ! [SY386: $i] :
( ( eiw_di @ SY386 @ SY385 )
=> ! [SY387: mworld] :
( ( mrel @ SY385 @ SY387 )
=> ~ ( ! [SY388: mworld] :
( ( mrel @ SY387 @ SY388 )
=> ( in @ SY386 @ SY406 @ SY388 ) )
& ! [SY348: mworld] :
( ( mrel @ SY387 @ SY348 )
=> ~ ! [SY349: mworld] :
( ( mrel @ SY348 @ SY349 )
=> ( qmltpeq @ SY386 @ SY379 @ SY349 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(20,plain,
( ( ? [SY465: $i] :
( ( eiw_di @ SY465 @ mactual )
& ! [SY466: mworld] :
( ( mrel @ mactual @ SY466 )
=> ~ ! [SY462: mworld] :
( ( mrel @ SY466 @ SY462 )
=> ( empty @ SY465 @ SY462 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(21,plain,
( ( ? [SY479: $i] :
( ( eiw_di @ SY479 @ mactual )
& ! [SY480: mworld] :
( ( mrel @ mactual @ SY480 )
=> ( empty @ SY479 @ SY480 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(22,plain,
( ( ! [SY485: mworld] :
( ( mrel @ mactual @ SY485 )
=> ( empty @ empty_set @ SY485 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(23,plain,
( ( ! [SY552: mworld] :
( ( mrel @ mactual @ SY552 )
=> ! [SY545: $i] :
( ( eiw_di @ SY545 @ SY552 )
=> ! [SY546: mworld] :
( ( mrel @ SY552 @ SY546 )
=> ! [SY532: $i] :
( ( eiw_di @ SY532 @ SY546 )
=> ! [SY533: mworld] :
( ( mrel @ SY546 @ SY533 )
=> ( ! [SY534: mworld] :
( ( mrel @ SY533 @ SY534 )
=> ( in @ SY545 @ SY532 @ SY534 ) )
=> ! [SY535: mworld] :
( ( mrel @ SY533 @ SY535 )
=> ~ ! [SY536: mworld] :
( ( mrel @ SY535 @ SY536 )
=> ( in @ SY532 @ SY545 @ SY536 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(24,plain,
( ( ! [SY668: mworld] :
( ( mrel @ mactual @ SY668 )
=> ! [SY659: $i] :
( ( eiw_di @ SY659 @ SY668 )
=> ! [SY660: mworld] :
( ( mrel @ SY668 @ SY660 )
=> ! [SY642: $i] :
( ( eiw_di @ SY642 @ SY660 )
=> ! [SY643: mworld] :
( ( mrel @ SY660 @ SY643 )
=> ! [SY644: $i] :
( ( eiw_di @ SY644 @ SY643 )
=> ! [SY645: mworld] :
( ( mrel @ SY643 @ SY645 )
=> ( ( ! [SY646: mworld] :
( ( mrel @ SY645 @ SY646 )
=> ( qmltpeq @ SY659 @ SY642 @ SY646 ) )
& ! [SY647: mworld] :
( ( mrel @ SY645 @ SY647 )
=> ( in @ SY644 @ SY659 @ SY647 ) ) )
=> ! [SY622: mworld] :
( ( mrel @ SY645 @ SY622 )
=> ( in @ SY644 @ SY642 @ SY622 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(25,plain,
( ( ! [SY788: mworld] :
( ( mrel @ mactual @ SY788 )
=> ! [SY779: $i] :
( ( eiw_di @ SY779 @ SY788 )
=> ! [SY780: mworld] :
( ( mrel @ SY788 @ SY780 )
=> ! [SY762: $i] :
( ( eiw_di @ SY762 @ SY780 )
=> ! [SY763: mworld] :
( ( mrel @ SY780 @ SY763 )
=> ! [SY764: $i] :
( ( eiw_di @ SY764 @ SY763 )
=> ! [SY765: mworld] :
( ( mrel @ SY763 @ SY765 )
=> ( ( ! [SY766: mworld] :
( ( mrel @ SY765 @ SY766 )
=> ( qmltpeq @ SY779 @ SY762 @ SY766 ) )
& ! [SY767: mworld] :
( ( mrel @ SY765 @ SY767 )
=> ( in @ SY779 @ SY764 @ SY767 ) ) )
=> ! [SY742: mworld] :
( ( mrel @ SY765 @ SY742 )
=> ( in @ SY762 @ SY764 @ SY742 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(26,plain,
( ( ! [SY877: mworld] :
( ( mrel @ mactual @ SY877 )
=> ! [SY870: $i] :
( ( eiw_di @ SY870 @ SY877 )
=> ! [SY871: mworld] :
( ( mrel @ SY877 @ SY871 )
=> ! [SY857: $i] :
( ( eiw_di @ SY857 @ SY871 )
=> ! [SY858: mworld] :
( ( mrel @ SY871 @ SY858 )
=> ( ( ! [SY859: mworld] :
( ( mrel @ SY858 @ SY859 )
=> ( qmltpeq @ SY870 @ SY857 @ SY859 ) )
& ! [SY860: mworld] :
( ( mrel @ SY858 @ SY860 )
=> ( empty @ SY870 @ SY860 ) ) )
=> ! [SY841: mworld] :
( ( mrel @ SY858 @ SY841 )
=> ( empty @ SY857 @ SY841 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(27,plain,
( ( ! [SY945: mworld] :
( ( mrel @ mactual @ SY945 )
=> ! [SY939: $i] :
( ( eiw_di @ SY939 @ SY945 )
=> ! [SY940: mworld] :
( ( mrel @ SY945 @ SY940 )
=> ! [SY928: $i] :
( ( eiw_di @ SY928 @ SY940 )
=> ! [SY929: mworld] :
( ( mrel @ SY940 @ SY929 )
=> ( ! [SY930: mworld] :
( ( mrel @ SY929 @ SY930 )
=> ( qmltpeq @ SY939 @ SY928 @ SY930 ) )
=> ! [SY931: mworld] :
( ( mrel @ SY929 @ SY931 )
=> ( qmltpeq @ ( singleton @ SY939 ) @ ( singleton @ SY928 ) @ SY931 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(28,plain,
( ( ! [SY1059: mworld] :
( ( mrel @ mactual @ SY1059 )
=> ! [SY1050: $i] :
( ( eiw_di @ SY1050 @ SY1059 )
=> ! [SY1051: mworld] :
( ( mrel @ SY1059 @ SY1051 )
=> ! [SY1033: $i] :
( ( eiw_di @ SY1033 @ SY1051 )
=> ! [SY1034: mworld] :
( ( mrel @ SY1051 @ SY1034 )
=> ! [SY1035: $i] :
( ( eiw_di @ SY1035 @ SY1034 )
=> ! [SY1036: mworld] :
( ( mrel @ SY1034 @ SY1036 )
=> ( ( ! [SY1037: mworld] :
( ( mrel @ SY1036 @ SY1037 )
=> ( qmltpeq @ SY1050 @ SY1033 @ SY1037 ) )
& ! [SY1012: mworld] :
( ( mrel @ SY1036 @ SY1012 )
=> ( qmltpeq @ SY1033 @ SY1035 @ SY1012 ) ) )
=> ! [SY1039: mworld] :
( ( mrel @ SY1036 @ SY1039 )
=> ( qmltpeq @ SY1050 @ SY1035 @ SY1039 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(29,plain,
( ( ! [SY1131: mworld] :
( ( mrel @ mactual @ SY1131 )
=> ! [SY1125: $i] :
( ( eiw_di @ SY1125 @ SY1131 )
=> ! [SY1126: mworld] :
( ( mrel @ SY1131 @ SY1126 )
=> ! [SY1114: $i] :
( ( eiw_di @ SY1114 @ SY1126 )
=> ! [SY1115: mworld] :
( ( mrel @ SY1126 @ SY1115 )
=> ( ! [SY1116: mworld] :
( ( mrel @ SY1115 @ SY1116 )
=> ( qmltpeq @ SY1125 @ SY1114 @ SY1116 ) )
=> ! [SY1117: mworld] :
( ( mrel @ SY1115 @ SY1117 )
=> ( qmltpeq @ SY1114 @ SY1125 @ SY1117 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(30,plain,
( ( ! [SY1157: mworld] :
( ( mrel @ mactual @ SY1157 )
=> ! [SY1155: $i] :
( ( eiw_di @ SY1155 @ SY1157 )
=> ! [SY1156: mworld] :
( ( mrel @ SY1157 @ SY1156 )
=> ( qmltpeq @ SY1155 @ SY1155 @ SY1156 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(31,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ V @ W ) )
=> ( eiw_di @ X @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(32,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(33,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(34,plain,
( ( ( mrel @ mactual @ sK1_SY195 )
=> ! [SY1170: $i] :
( ( eiw_di @ SY1170 @ sK1_SY195 )
=> ! [SY1171: mworld] :
( ( mrel @ sK1_SY195 @ SY1171 )
=> ! [SY154: $i] :
( ( eiw_di @ SY154 @ SY1171 )
=> ! [SY155: mworld] :
( ( mrel @ SY1171 @ SY155 )
=> ~ ( ! [SY156: mworld] :
( ( mrel @ SY155 @ SY156 )
=> ~ ! [SY157: mworld] :
( ( mrel @ SY156 @ SY157 )
=> ( qmltpeq @ SY1170 @ ( singleton @ SY154 ) @ SY157 ) ) )
& ! [SY158: mworld] :
( ( mrel @ SY155 @ SY158 )
=> ~ ! [SY159: mworld] :
( ( mrel @ SY158 @ SY159 )
=> ( qmltpeq @ SY1170 @ empty_set @ SY159 ) ) )
& ! [SY160: mworld] :
( ( mrel @ SY155 @ SY160 )
=> ! [SY161: $i] :
( ( eiw_di @ SY161 @ SY160 )
=> ! [SY162: mworld] :
( ( mrel @ SY160 @ SY162 )
=> ~ ( ! [SY163: mworld] :
( ( mrel @ SY162 @ SY163 )
=> ( in @ SY161 @ SY1170 @ SY163 ) )
& ! [SY123: mworld] :
( ( mrel @ SY162 @ SY123 )
=> ~ ! [SY124: mworld] :
( ( mrel @ SY123 @ SY124 )
=> ( qmltpeq @ SY161 @ SY154 @ SY124 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(35,plain,
( ( mrel @ mactual @ sK1_SY195 )
= $true ),
inference(standard_cnf,[status(thm)],[34]) ).
thf(36,plain,
( ( ! [SY1170: $i] :
( ( eiw_di @ SY1170 @ sK1_SY195 )
=> ! [SY1171: mworld] :
( ( mrel @ sK1_SY195 @ SY1171 )
=> ! [SY154: $i] :
( ( eiw_di @ SY154 @ SY1171 )
=> ! [SY155: mworld] :
( ( mrel @ SY1171 @ SY155 )
=> ~ ( ! [SY156: mworld] :
( ( mrel @ SY155 @ SY156 )
=> ~ ! [SY157: mworld] :
( ( mrel @ SY156 @ SY157 )
=> ( qmltpeq @ SY1170 @ ( singleton @ SY154 ) @ SY157 ) ) )
& ! [SY158: mworld] :
( ( mrel @ SY155 @ SY158 )
=> ~ ! [SY159: mworld] :
( ( mrel @ SY158 @ SY159 )
=> ( qmltpeq @ SY1170 @ empty_set @ SY159 ) ) )
& ! [SY160: mworld] :
( ( mrel @ SY155 @ SY160 )
=> ! [SY161: $i] :
( ( eiw_di @ SY161 @ SY160 )
=> ! [SY162: mworld] :
( ( mrel @ SY160 @ SY162 )
=> ~ ( ! [SY163: mworld] :
( ( mrel @ SY162 @ SY163 )
=> ( in @ SY161 @ SY1170 @ SY163 ) )
& ! [SY123: mworld] :
( ( mrel @ SY162 @ SY123 )
=> ~ ! [SY124: mworld] :
( ( mrel @ SY123 @ SY124 )
=> ( qmltpeq @ SY161 @ SY154 @ SY124 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[34]) ).
thf(37,plain,
( ( ~ ! [SY1170: $i] :
( ( eiw_di @ SY1170 @ sK1_SY195 )
=> ! [SY1171: mworld] :
( ( mrel @ sK1_SY195 @ SY1171 )
=> ! [SY154: $i] :
( ( eiw_di @ SY154 @ SY1171 )
=> ! [SY155: mworld] :
( ( mrel @ SY1171 @ SY155 )
=> ~ ( ! [SY156: mworld] :
( ( mrel @ SY155 @ SY156 )
=> ~ ! [SY157: mworld] :
( ( mrel @ SY156 @ SY157 )
=> ( qmltpeq @ SY1170 @ ( singleton @ SY154 ) @ SY157 ) ) )
& ! [SY158: mworld] :
( ( mrel @ SY155 @ SY158 )
=> ~ ! [SY159: mworld] :
( ( mrel @ SY158 @ SY159 )
=> ( qmltpeq @ SY1170 @ empty_set @ SY159 ) ) )
& ! [SY160: mworld] :
( ( mrel @ SY155 @ SY160 )
=> ! [SY161: $i] :
( ( eiw_di @ SY161 @ SY160 )
=> ! [SY162: mworld] :
( ( mrel @ SY160 @ SY162 )
=> ~ ( ! [SY163: mworld] :
( ( mrel @ SY162 @ SY163 )
=> ( in @ SY161 @ SY1170 @ SY163 ) )
& ! [SY123: mworld] :
( ( mrel @ SY162 @ SY123 )
=> ~ ! [SY124: mworld] :
( ( mrel @ SY123 @ SY124 )
=> ( qmltpeq @ SY161 @ SY154 @ SY124 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(38,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(40,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ V @ W ) )
=> ( eiw_di @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(41,plain,
( ( ! [SY1157: mworld] :
( ( mrel @ mactual @ SY1157 )
=> ! [SY1155: $i] :
( ( eiw_di @ SY1155 @ SY1157 )
=> ! [SY1156: mworld] :
( ( mrel @ SY1157 @ SY1156 )
=> ( qmltpeq @ SY1155 @ SY1155 @ SY1156 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(42,plain,
( ( ! [SY1131: mworld] :
( ( mrel @ mactual @ SY1131 )
=> ! [SY1125: $i] :
( ( eiw_di @ SY1125 @ SY1131 )
=> ! [SY1126: mworld] :
( ( mrel @ SY1131 @ SY1126 )
=> ! [SY1114: $i] :
( ( eiw_di @ SY1114 @ SY1126 )
=> ! [SY1115: mworld] :
( ( mrel @ SY1126 @ SY1115 )
=> ( ! [SY1116: mworld] :
( ( mrel @ SY1115 @ SY1116 )
=> ( qmltpeq @ SY1125 @ SY1114 @ SY1116 ) )
=> ! [SY1117: mworld] :
( ( mrel @ SY1115 @ SY1117 )
=> ( qmltpeq @ SY1114 @ SY1125 @ SY1117 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(43,plain,
( ( ! [SY1059: mworld] :
( ( mrel @ mactual @ SY1059 )
=> ! [SY1050: $i] :
( ( eiw_di @ SY1050 @ SY1059 )
=> ! [SY1051: mworld] :
( ( mrel @ SY1059 @ SY1051 )
=> ! [SY1033: $i] :
( ( eiw_di @ SY1033 @ SY1051 )
=> ! [SY1034: mworld] :
( ( mrel @ SY1051 @ SY1034 )
=> ! [SY1035: $i] :
( ( eiw_di @ SY1035 @ SY1034 )
=> ! [SY1036: mworld] :
( ( mrel @ SY1034 @ SY1036 )
=> ( ( ! [SY1037: mworld] :
( ( mrel @ SY1036 @ SY1037 )
=> ( qmltpeq @ SY1050 @ SY1033 @ SY1037 ) )
& ! [SY1012: mworld] :
( ( mrel @ SY1036 @ SY1012 )
=> ( qmltpeq @ SY1033 @ SY1035 @ SY1012 ) ) )
=> ! [SY1039: mworld] :
( ( mrel @ SY1036 @ SY1039 )
=> ( qmltpeq @ SY1050 @ SY1035 @ SY1039 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(44,plain,
( ( ! [SY945: mworld] :
( ( mrel @ mactual @ SY945 )
=> ! [SY939: $i] :
( ( eiw_di @ SY939 @ SY945 )
=> ! [SY940: mworld] :
( ( mrel @ SY945 @ SY940 )
=> ! [SY928: $i] :
( ( eiw_di @ SY928 @ SY940 )
=> ! [SY929: mworld] :
( ( mrel @ SY940 @ SY929 )
=> ( ! [SY930: mworld] :
( ( mrel @ SY929 @ SY930 )
=> ( qmltpeq @ SY939 @ SY928 @ SY930 ) )
=> ! [SY931: mworld] :
( ( mrel @ SY929 @ SY931 )
=> ( qmltpeq @ ( singleton @ SY939 ) @ ( singleton @ SY928 ) @ SY931 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(45,plain,
( ( ! [SY877: mworld] :
( ( mrel @ mactual @ SY877 )
=> ! [SY870: $i] :
( ( eiw_di @ SY870 @ SY877 )
=> ! [SY871: mworld] :
( ( mrel @ SY877 @ SY871 )
=> ! [SY857: $i] :
( ( eiw_di @ SY857 @ SY871 )
=> ! [SY858: mworld] :
( ( mrel @ SY871 @ SY858 )
=> ( ( ! [SY859: mworld] :
( ( mrel @ SY858 @ SY859 )
=> ( qmltpeq @ SY870 @ SY857 @ SY859 ) )
& ! [SY860: mworld] :
( ( mrel @ SY858 @ SY860 )
=> ( empty @ SY870 @ SY860 ) ) )
=> ! [SY841: mworld] :
( ( mrel @ SY858 @ SY841 )
=> ( empty @ SY857 @ SY841 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(46,plain,
( ( ! [SY788: mworld] :
( ( mrel @ mactual @ SY788 )
=> ! [SY779: $i] :
( ( eiw_di @ SY779 @ SY788 )
=> ! [SY780: mworld] :
( ( mrel @ SY788 @ SY780 )
=> ! [SY762: $i] :
( ( eiw_di @ SY762 @ SY780 )
=> ! [SY763: mworld] :
( ( mrel @ SY780 @ SY763 )
=> ! [SY764: $i] :
( ( eiw_di @ SY764 @ SY763 )
=> ! [SY765: mworld] :
( ( mrel @ SY763 @ SY765 )
=> ( ( ! [SY766: mworld] :
( ( mrel @ SY765 @ SY766 )
=> ( qmltpeq @ SY779 @ SY762 @ SY766 ) )
& ! [SY767: mworld] :
( ( mrel @ SY765 @ SY767 )
=> ( in @ SY779 @ SY764 @ SY767 ) ) )
=> ! [SY742: mworld] :
( ( mrel @ SY765 @ SY742 )
=> ( in @ SY762 @ SY764 @ SY742 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(47,plain,
( ( ! [SY668: mworld] :
( ( mrel @ mactual @ SY668 )
=> ! [SY659: $i] :
( ( eiw_di @ SY659 @ SY668 )
=> ! [SY660: mworld] :
( ( mrel @ SY668 @ SY660 )
=> ! [SY642: $i] :
( ( eiw_di @ SY642 @ SY660 )
=> ! [SY643: mworld] :
( ( mrel @ SY660 @ SY643 )
=> ! [SY644: $i] :
( ( eiw_di @ SY644 @ SY643 )
=> ! [SY645: mworld] :
( ( mrel @ SY643 @ SY645 )
=> ( ( ! [SY646: mworld] :
( ( mrel @ SY645 @ SY646 )
=> ( qmltpeq @ SY659 @ SY642 @ SY646 ) )
& ! [SY647: mworld] :
( ( mrel @ SY645 @ SY647 )
=> ( in @ SY644 @ SY659 @ SY647 ) ) )
=> ! [SY622: mworld] :
( ( mrel @ SY645 @ SY622 )
=> ( in @ SY644 @ SY642 @ SY622 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(48,plain,
( ( ! [SY552: mworld] :
( ( mrel @ mactual @ SY552 )
=> ! [SY545: $i] :
( ( eiw_di @ SY545 @ SY552 )
=> ! [SY546: mworld] :
( ( mrel @ SY552 @ SY546 )
=> ! [SY532: $i] :
( ( eiw_di @ SY532 @ SY546 )
=> ! [SY533: mworld] :
( ( mrel @ SY546 @ SY533 )
=> ( ! [SY534: mworld] :
( ( mrel @ SY533 @ SY534 )
=> ( in @ SY545 @ SY532 @ SY534 ) )
=> ! [SY535: mworld] :
( ( mrel @ SY533 @ SY535 )
=> ~ ! [SY536: mworld] :
( ( mrel @ SY535 @ SY536 )
=> ( in @ SY532 @ SY545 @ SY536 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(49,plain,
( ( ! [SY485: mworld] :
( ( mrel @ mactual @ SY485 )
=> ( empty @ empty_set @ SY485 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(50,plain,
( ( ? [SY479: $i] :
( ( eiw_di @ SY479 @ mactual )
& ! [SY480: mworld] :
( ( mrel @ mactual @ SY480 )
=> ( empty @ SY479 @ SY480 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(51,plain,
( ( ? [SY465: $i] :
( ( eiw_di @ SY465 @ mactual )
& ! [SY466: mworld] :
( ( mrel @ mactual @ SY466 )
=> ~ ! [SY462: mworld] :
( ( mrel @ SY466 @ SY462 )
=> ( empty @ SY465 @ SY462 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(52,plain,
( ( ! [SY420: mworld] :
( ( mrel @ mactual @ SY420 )
=> ! [SY406: $i] :
( ( eiw_di @ SY406 @ SY420 )
=> ! [SY407: mworld] :
( ( mrel @ SY420 @ SY407 )
=> ! [SY379: $i] :
( ( eiw_di @ SY379 @ SY407 )
=> ! [SY380: mworld] :
( ( mrel @ SY407 @ SY380 )
=> ~ ( ! [SY381: mworld] :
( ( mrel @ SY380 @ SY381 )
=> ~ ! [SY382: mworld] :
( ( mrel @ SY381 @ SY382 )
=> ( qmltpeq @ SY406 @ ( singleton @ SY379 ) @ SY382 ) ) )
& ! [SY383: mworld] :
( ( mrel @ SY380 @ SY383 )
=> ~ ! [SY384: mworld] :
( ( mrel @ SY383 @ SY384 )
=> ( qmltpeq @ SY406 @ empty_set @ SY384 ) ) )
& ! [SY385: mworld] :
( ( mrel @ SY380 @ SY385 )
=> ! [SY386: $i] :
( ( eiw_di @ SY386 @ SY385 )
=> ! [SY387: mworld] :
( ( mrel @ SY385 @ SY387 )
=> ~ ( ! [SY388: mworld] :
( ( mrel @ SY387 @ SY388 )
=> ( in @ SY386 @ SY406 @ SY388 ) )
& ! [SY348: mworld] :
( ( mrel @ SY387 @ SY348 )
=> ~ ! [SY349: mworld] :
( ( mrel @ SY348 @ SY349 )
=> ( qmltpeq @ SY386 @ SY379 @ SY349 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(53,plain,
( ( mrel @ mactual @ sK1_SY195 )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(54,plain,
( ( ~ ! [SY1170: $i] :
( ( eiw_di @ SY1170 @ sK1_SY195 )
=> ! [SY1171: mworld] :
( ( mrel @ sK1_SY195 @ SY1171 )
=> ! [SY154: $i] :
( ( eiw_di @ SY154 @ SY1171 )
=> ! [SY155: mworld] :
( ( mrel @ SY1171 @ SY155 )
=> ~ ( ! [SY156: mworld] :
( ( mrel @ SY155 @ SY156 )
=> ~ ! [SY157: mworld] :
( ( mrel @ SY156 @ SY157 )
=> ( qmltpeq @ SY1170 @ ( singleton @ SY154 ) @ SY157 ) ) )
& ! [SY158: mworld] :
( ( mrel @ SY155 @ SY158 )
=> ~ ! [SY159: mworld] :
( ( mrel @ SY158 @ SY159 )
=> ( qmltpeq @ SY1170 @ empty_set @ SY159 ) ) )
& ! [SY160: mworld] :
( ( mrel @ SY155 @ SY160 )
=> ! [SY161: $i] :
( ( eiw_di @ SY161 @ SY160 )
=> ! [SY162: mworld] :
( ( mrel @ SY160 @ SY162 )
=> ~ ( ! [SY163: mworld] :
( ( mrel @ SY162 @ SY163 )
=> ( in @ SY161 @ SY1170 @ SY163 ) )
& ! [SY123: mworld] :
( ( mrel @ SY162 @ SY123 )
=> ~ ! [SY124: mworld] :
( ( mrel @ SY123 @ SY124 )
=> ( qmltpeq @ SY161 @ SY154 @ SY124 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(55,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)],[43,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(56,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ( empty @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(57,plain,
( ( ! [SX0: mworld] :
~ ! [SX1: $i] :
~ ( eiw_di @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[39,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 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,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: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,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 )
| ( qmltpeq @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,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: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SX1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(62,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 )
| ( in @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(63,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 )
| ( empty @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ~ ( eiw_di @ SX0 @ sK1_SY195 )
| ! [SX1: mworld] :
( ~ ( mrel @ sK1_SY195 @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX0 @ ( singleton @ SX2 ) @ SX5 ) ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX0 @ empty_set @ SX5 ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX0 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SX5 @ SX2 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(65,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 )
| ( in @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SX1 @ SX6 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(66,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 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SX1 @ ( singleton @ SX3 ) @ SX6 ) ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SX1 @ empty_set @ SX6 ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( in @ SX6 @ SX1 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX6 @ SX3 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(67,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( empty @ empty_set @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(68,plain,
( ( ! [SX0: mworld,SX1: mworld,SX2: $i] :
( ~ ~ ( ~ ( eiw_di @ SX2 @ SX0 )
| ~ ( mrel @ SX1 @ SX0 ) )
| ( eiw_di @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( empty @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(70,plain,
! [SV1: mworld] :
( ( ! [SY1184: mworld] : ( mrel @ SV1 @ SY1184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(71,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ mactual @ SV2 )
| ! [SY1185: $i] :
( ~ ( eiw_di @ SY1185 @ SV2 )
| ! [SY1186: mworld] :
( ~ ( mrel @ SV2 @ SY1186 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1186 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1186 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(72,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ( empty @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(73,plain,
! [SV3: mworld] :
( ( ~ ! [SY1194: $i] :
~ ( eiw_di @ SY1194 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(74,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY1195: $i] :
( ~ ( eiw_di @ SY1195 @ SV4 )
| ! [SY1196: mworld] :
( ~ ( mrel @ SV4 @ SY1196 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1196 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1196 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1195 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY1195 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(75,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV5 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV5 @ SY1205 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1205 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1205 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1204 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY1204 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(76,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV6 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV6 @ SY1211 )
| ( qmltpeq @ SY1210 @ SY1210 @ SY1211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(77,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY1212: $i] :
( ~ ( eiw_di @ SY1212 @ SV7 )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV7 @ SY1213 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1213 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1213 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1212 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1212 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(78,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY1218: $i] :
( ~ ( eiw_di @ SY1218 @ SV8 )
| ! [SY1219: mworld] :
( ~ ( mrel @ SV8 @ SY1219 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1219 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1219 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1218 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY1218 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(79,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY1227: $i] :
( ~ ( eiw_di @ SY1227 @ SV9 )
| ! [SY1228: mworld] :
( ~ ( mrel @ SV9 @ SY1228 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1228 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1228 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1227 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY1227 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(80,plain,
( ( ! [SX0: $i] :
( ~ ( eiw_di @ SX0 @ sK1_SY195 )
| ! [SX1: mworld] :
( ~ ( mrel @ sK1_SY195 @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX0 @ ( singleton @ SX2 ) @ SX5 ) ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX0 @ empty_set @ SX5 ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX0 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SX5 @ SX2 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(81,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY1234: $i] :
( ~ ( eiw_di @ SY1234 @ SV10 )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV10 @ SY1235 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1235 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1235 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY1234 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY1234 @ SX6 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(82,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY1241: $i] :
( ~ ( eiw_di @ SY1241 @ SV11 )
| ! [SY1242: mworld] :
( ~ ( mrel @ SV11 @ SY1242 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1242 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1242 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ ( singleton @ SX3 ) @ SX6 ) ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ empty_set @ SX6 ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( in @ SX6 @ SY1241 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX6 @ SX3 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(83,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ( empty @ empty_set @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(84,plain,
! [SV13: mworld] :
( ( ! [SY1255: mworld,SY1256: $i] :
( ~ ~ ( ~ ( eiw_di @ SY1256 @ SV13 )
| ~ ( mrel @ SY1255 @ SV13 ) )
| ( eiw_di @ SY1256 @ SY1255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(85,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( empty @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV14: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(87,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ mactual @ SV2 ) )
= $true )
| ( ( ! [SY1185: $i] :
( ~ ( eiw_di @ SY1185 @ SV2 )
| ! [SY1186: mworld] :
( ~ ( mrel @ SV2 @ SY1186 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1186 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1186 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(88,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY1257: mworld] :
( ~ ( mrel @ mactual @ SY1257 )
| ~ ! [SY1258: mworld] :
( ~ ( mrel @ SY1257 @ SY1258 )
| ( empty @ sK2_SX0 @ SY1258 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[72]) ).
thf(89,plain,
! [SV3: mworld] :
( ( ! [SY1194: $i] :
~ ( eiw_di @ SY1194 @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(90,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY1195: $i] :
( ~ ( eiw_di @ SY1195 @ SV4 )
| ! [SY1196: mworld] :
( ~ ( mrel @ SV4 @ SY1196 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1196 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1196 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1195 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY1195 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(91,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV5 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV5 @ SY1205 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1205 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1205 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1204 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY1204 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(92,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV6 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV6 @ SY1211 )
| ( qmltpeq @ SY1210 @ SY1210 @ SY1211 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(93,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY1212: $i] :
( ~ ( eiw_di @ SY1212 @ SV7 )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV7 @ SY1213 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1213 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1213 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1212 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1212 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(94,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY1218: $i] :
( ~ ( eiw_di @ SY1218 @ SV8 )
| ! [SY1219: mworld] :
( ~ ( mrel @ SV8 @ SY1219 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1219 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1219 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1218 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY1218 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(95,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY1227: $i] :
( ~ ( eiw_di @ SY1227 @ SV9 )
| ! [SY1228: mworld] :
( ~ ( mrel @ SV9 @ SY1228 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1228 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1228 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1227 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY1227 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(96,plain,
( ( ~ ( eiw_di @ sK3_SX0 @ sK1_SY195 )
| ! [SY1259: mworld] :
( ~ ( mrel @ sK1_SY195 @ SY1259 )
| ! [SY1260: $i] :
( ~ ( eiw_di @ SY1260 @ SY1259 )
| ! [SY1261: mworld] :
( ~ ( mrel @ SY1259 @ SY1261 )
| ~ ~ ( ~ ! [SY1262: mworld] :
( ~ ( mrel @ SY1261 @ SY1262 )
| ~ ! [SY1263: mworld] :
( ~ ( mrel @ SY1262 @ SY1263 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ SY1260 ) @ SY1263 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1261 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1266: mworld] :
( ~ ( mrel @ SY1261 @ SY1266 )
| ! [SY1267: $i] :
( ~ ( eiw_di @ SY1267 @ SY1266 )
| ! [SY1268: mworld] :
( ~ ( mrel @ SY1266 @ SY1268 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1268 @ SY1269 )
| ( in @ SY1267 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1268 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SY1267 @ SY1260 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(97,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY1234: $i] :
( ~ ( eiw_di @ SY1234 @ SV10 )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV10 @ SY1235 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1235 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1235 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY1234 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY1234 @ SX6 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(98,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY1241: $i] :
( ~ ( eiw_di @ SY1241 @ SV11 )
| ! [SY1242: mworld] :
( ~ ( mrel @ SV11 @ SY1242 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1242 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1242 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ ( singleton @ SX3 ) @ SX6 ) ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ empty_set @ SX6 ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( in @ SX6 @ SY1241 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX6 @ SX3 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(99,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( empty @ empty_set @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(100,plain,
! [SV15: mworld,SV13: mworld] :
( ( ! [SY1272: $i] :
( ~ ~ ( ~ ( eiw_di @ SY1272 @ SV13 )
| ~ ( mrel @ SV15 @ SV13 ) )
| ( eiw_di @ SY1272 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(101,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY1273: mworld] :
( ~ ( mrel @ mactual @ SY1273 )
| ( empty @ sK4_SX0 @ SY1273 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(102,plain,
! [SV2: mworld] :
( ( ( mrel @ mactual @ SV2 )
= $false )
| ( ( ! [SY1185: $i] :
( ~ ( eiw_di @ SY1185 @ SV2 )
| ! [SY1186: mworld] :
( ~ ( mrel @ SV2 @ SY1186 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1186 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1186 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1185 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(103,plain,
( ( ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY1257: mworld] :
( ~ ( mrel @ mactual @ SY1257 )
| ~ ! [SY1258: mworld] :
( ~ ( mrel @ SY1257 @ SY1258 )
| ( empty @ sK2_SX0 @ SY1258 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(104,plain,
! [SV3: mworld] :
( ( ~ ( eiw_di @ ( sK5_SY1194 @ SV3 ) @ SV3 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(105,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY1195: $i] :
( ~ ( eiw_di @ SY1195 @ SV4 )
| ! [SY1196: mworld] :
( ~ ( mrel @ SV4 @ SY1196 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1196 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1196 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1195 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY1195 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV5 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV5 @ SY1205 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1205 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1205 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1204 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY1204 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV6 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV6 @ SY1211 )
| ( qmltpeq @ SY1210 @ SY1210 @ SY1211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY1212: $i] :
( ~ ( eiw_di @ SY1212 @ SV7 )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV7 @ SY1213 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1213 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1213 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1212 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1212 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY1218: $i] :
( ~ ( eiw_di @ SY1218 @ SV8 )
| ! [SY1219: mworld] :
( ~ ( mrel @ SV8 @ SY1219 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1219 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1219 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY1218 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY1218 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY1227: $i] :
( ~ ( eiw_di @ SY1227 @ SV9 )
| ! [SY1228: mworld] :
( ~ ( mrel @ SV9 @ SY1228 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1228 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1228 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1227 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY1227 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(111,plain,
( ( ~ ( eiw_di @ sK3_SX0 @ sK1_SY195 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(112,plain,
( ( ! [SY1259: mworld] :
( ~ ( mrel @ sK1_SY195 @ SY1259 )
| ! [SY1260: $i] :
( ~ ( eiw_di @ SY1260 @ SY1259 )
| ! [SY1261: mworld] :
( ~ ( mrel @ SY1259 @ SY1261 )
| ~ ~ ( ~ ! [SY1262: mworld] :
( ~ ( mrel @ SY1261 @ SY1262 )
| ~ ! [SY1263: mworld] :
( ~ ( mrel @ SY1262 @ SY1263 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ SY1260 ) @ SY1263 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1261 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1266: mworld] :
( ~ ( mrel @ SY1261 @ SY1266 )
| ! [SY1267: $i] :
( ~ ( eiw_di @ SY1267 @ SY1266 )
| ! [SY1268: mworld] :
( ~ ( mrel @ SY1266 @ SY1268 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1268 @ SY1269 )
| ( in @ SY1267 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1268 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SY1267 @ SY1260 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(113,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY1234: $i] :
( ~ ( eiw_di @ SY1234 @ SV10 )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV10 @ SY1235 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1235 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1235 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY1234 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY1234 @ SX6 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(114,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY1241: $i] :
( ~ ( eiw_di @ SY1241 @ SV11 )
| ! [SY1242: mworld] :
( ~ ( mrel @ SV11 @ SY1242 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY1242 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1242 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ ( singleton @ SX3 ) @ SX6 ) ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ SY1241 @ empty_set @ SX6 ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( in @ SX6 @ SY1241 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX6 @ SX3 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(115,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( empty @ empty_set @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(116,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ~ ~ ( ~ ( eiw_di @ SV16 @ SV13 )
| ~ ( mrel @ SV15 @ SV13 ) )
| ( eiw_di @ SV16 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(117,plain,
( ( ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY1273: mworld] :
( ~ ( mrel @ mactual @ SY1273 )
| ( empty @ sK4_SX0 @ SY1273 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(118,plain,
! [SV2: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV2 )
| ! [SY1274: mworld] :
( ~ ( mrel @ SV2 @ SY1274 )
| ! [SY1275: $i] :
( ~ ( eiw_di @ SY1275 @ SY1274 )
| ! [SY1276: mworld] :
( ~ ( mrel @ SY1274 @ SY1276 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1276 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1276 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1275 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1275 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(119,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY1257: mworld] :
( ~ ( mrel @ mactual @ SY1257 )
| ~ ! [SY1258: mworld] :
( ~ ( mrel @ SY1257 @ SY1258 )
| ( empty @ sK2_SX0 @ SY1258 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV3: mworld] :
( ( eiw_di @ ( sK5_SY1194 @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(121,plain,
! [SV4: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV4 )
| ! [SY1282: mworld] :
( ~ ( mrel @ SV4 @ SY1282 )
| ! [SY1283: $i] :
( ~ ( eiw_di @ SY1283 @ SY1282 )
| ! [SY1284: mworld] :
( ~ ( mrel @ SY1282 @ SY1284 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1284 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1284 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1283 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1283 @ SY1285 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(122,plain,
! [SV5: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV5 )
| ! [SY1290: mworld] :
( ~ ( mrel @ SV5 @ SY1290 )
| ! [SY1291: $i] :
( ~ ( eiw_di @ SY1291 @ SY1290 )
| ! [SY1292: mworld] :
( ~ ( mrel @ SY1290 @ SY1292 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1292 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1291 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1292 @ SY1294 )
| ( qmltpeq @ SY1291 @ SV19 @ SY1294 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV6: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV6 )
| ! [SY1295: mworld] :
( ~ ( mrel @ SV6 @ SY1295 )
| ( qmltpeq @ SV20 @ SV20 @ SY1295 ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(124,plain,
! [SV7: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV7 )
| ! [SY1296: mworld] :
( ~ ( mrel @ SV7 @ SY1296 )
| ! [SY1297: $i] :
( ~ ( eiw_di @ SY1297 @ SY1296 )
| ! [SY1298: mworld] :
( ~ ( mrel @ SY1296 @ SY1298 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1298 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1297 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1298 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1297 ) @ SY1300 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(125,plain,
! [SV8: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV8 )
| ! [SY1301: mworld] :
( ~ ( mrel @ SV8 @ SY1301 )
| ! [SY1302: $i] :
( ~ ( eiw_di @ SY1302 @ SY1301 )
| ! [SY1303: mworld] :
( ~ ( mrel @ SY1301 @ SY1303 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1303 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1303 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1302 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(126,plain,
! [SV9: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV9 )
| ! [SY1309: mworld] :
( ~ ( mrel @ SV9 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( eiw_di @ SY1310 @ SY1309 )
| ! [SY1311: mworld] :
( ~ ( mrel @ SY1309 @ SY1311 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1311 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1310 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1311 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1311 @ SX5 )
| ( empty @ SY1310 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(127,plain,
( ( eiw_di @ sK3_SX0 @ sK1_SY195 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(128,plain,
( ( ~ ( mrel @ sK1_SY195 @ sK6_SY1259 )
| ! [SY1315: $i] :
( ~ ( eiw_di @ SY1315 @ sK6_SY1259 )
| ! [SY1316: mworld] :
( ~ ( mrel @ sK6_SY1259 @ SY1316 )
| ~ ~ ( ~ ! [SY1262: mworld] :
( ~ ( mrel @ SY1316 @ SY1262 )
| ~ ! [SY1263: mworld] :
( ~ ( mrel @ SY1262 @ SY1263 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ SY1315 ) @ SY1263 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1316 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1266: mworld] :
( ~ ( mrel @ SY1316 @ SY1266 )
| ! [SY1267: $i] :
( ~ ( eiw_di @ SY1267 @ SY1266 )
| ! [SY1268: mworld] :
( ~ ( mrel @ SY1266 @ SY1268 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1268 @ SY1269 )
| ( in @ SY1267 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1268 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SY1267 @ SY1315 @ SX8 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(129,plain,
! [SV10: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV10 )
| ! [SY1327: mworld] :
( ~ ( mrel @ SV10 @ SY1327 )
| ! [SY1328: $i] :
( ~ ( eiw_di @ SY1328 @ SY1327 )
| ! [SY1329: mworld] :
( ~ ( mrel @ SY1327 @ SY1329 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1329 @ SY1330 )
| ( in @ SV24 @ SY1328 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1329 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1328 @ SV24 @ SY1332 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV11: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV11 )
| ! [SY1333: mworld] :
( ~ ( mrel @ SV11 @ SY1333 )
| ! [SY1334: $i] :
( ~ ( eiw_di @ SY1334 @ SY1333 )
| ! [SY1335: mworld] :
( ~ ( mrel @ SY1333 @ SY1335 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1335 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1334 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1335 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1335 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1334 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV16 @ SV13 )
| ~ ( mrel @ SV15 @ SV13 ) ) )
= $true )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(132,plain,
( ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY1273: mworld] :
( ~ ( mrel @ mactual @ SY1273 )
| ( empty @ sK4_SX0 @ SY1273 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV2: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV2 ) )
= $true )
| ( ( ! [SY1274: mworld] :
( ~ ( mrel @ SV2 @ SY1274 )
| ! [SY1275: $i] :
( ~ ( eiw_di @ SY1275 @ SY1274 )
| ! [SY1276: mworld] :
( ~ ( mrel @ SY1274 @ SY1276 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1276 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1276 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1275 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1275 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(134,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ mactual ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(135,plain,
( ( ~ ! [SY1257: mworld] :
( ~ ( mrel @ mactual @ SY1257 )
| ~ ! [SY1258: mworld] :
( ~ ( mrel @ SY1257 @ SY1258 )
| ( empty @ sK2_SX0 @ SY1258 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(136,plain,
! [SV4: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV4 ) )
= $true )
| ( ( ! [SY1282: mworld] :
( ~ ( mrel @ SV4 @ SY1282 )
| ! [SY1283: $i] :
( ~ ( eiw_di @ SY1283 @ SY1282 )
| ! [SY1284: mworld] :
( ~ ( mrel @ SY1282 @ SY1284 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1284 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1284 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1283 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1283 @ SY1285 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(137,plain,
! [SV5: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV5 ) )
= $true )
| ( ( ! [SY1290: mworld] :
( ~ ( mrel @ SV5 @ SY1290 )
| ! [SY1291: $i] :
( ~ ( eiw_di @ SY1291 @ SY1290 )
| ! [SY1292: mworld] :
( ~ ( mrel @ SY1290 @ SY1292 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1292 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1291 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1292 @ SY1294 )
| ( qmltpeq @ SY1291 @ SV19 @ SY1294 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(138,plain,
! [SV6: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV6 ) )
= $true )
| ( ( ! [SY1295: mworld] :
( ~ ( mrel @ SV6 @ SY1295 )
| ( qmltpeq @ SV20 @ SV20 @ SY1295 ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV7: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV7 ) )
= $true )
| ( ( ! [SY1296: mworld] :
( ~ ( mrel @ SV7 @ SY1296 )
| ! [SY1297: $i] :
( ~ ( eiw_di @ SY1297 @ SY1296 )
| ! [SY1298: mworld] :
( ~ ( mrel @ SY1296 @ SY1298 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1298 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1297 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1298 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1297 ) @ SY1300 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV8: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV8 ) )
= $true )
| ( ( ! [SY1301: mworld] :
( ~ ( mrel @ SV8 @ SY1301 )
| ! [SY1302: $i] :
( ~ ( eiw_di @ SY1302 @ SY1301 )
| ! [SY1303: mworld] :
( ~ ( mrel @ SY1301 @ SY1303 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1303 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1303 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1302 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV9: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV9 ) )
= $true )
| ( ( ! [SY1309: mworld] :
( ~ ( mrel @ SV9 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( eiw_di @ SY1310 @ SY1309 )
| ! [SY1311: mworld] :
( ~ ( mrel @ SY1309 @ SY1311 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1311 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1310 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1311 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1311 @ SX5 )
| ( empty @ SY1310 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(142,plain,
( ( ~ ( mrel @ sK1_SY195 @ sK6_SY1259 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(143,plain,
( ( ! [SY1315: $i] :
( ~ ( eiw_di @ SY1315 @ sK6_SY1259 )
| ! [SY1316: mworld] :
( ~ ( mrel @ sK6_SY1259 @ SY1316 )
| ~ ~ ( ~ ! [SY1262: mworld] :
( ~ ( mrel @ SY1316 @ SY1262 )
| ~ ! [SY1263: mworld] :
( ~ ( mrel @ SY1262 @ SY1263 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ SY1315 ) @ SY1263 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1316 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1266: mworld] :
( ~ ( mrel @ SY1316 @ SY1266 )
| ! [SY1267: $i] :
( ~ ( eiw_di @ SY1267 @ SY1266 )
| ! [SY1268: mworld] :
( ~ ( mrel @ SY1266 @ SY1268 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1268 @ SY1269 )
| ( in @ SY1267 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1268 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( qmltpeq @ SY1267 @ SY1315 @ SX8 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV10: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV10 ) )
= $true )
| ( ( ! [SY1327: mworld] :
( ~ ( mrel @ SV10 @ SY1327 )
| ! [SY1328: $i] :
( ~ ( eiw_di @ SY1328 @ SY1327 )
| ! [SY1329: mworld] :
( ~ ( mrel @ SY1327 @ SY1329 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1329 @ SY1330 )
| ( in @ SV24 @ SY1328 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1329 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1328 @ SV24 @ SY1332 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV11: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV11 ) )
= $true )
| ( ( ! [SY1333: mworld] :
( ~ ( mrel @ SV11 @ SY1333 )
| ! [SY1334: $i] :
( ~ ( eiw_di @ SY1334 @ SY1333 )
| ! [SY1335: mworld] :
( ~ ( mrel @ SY1333 @ SY1335 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1335 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1334 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1335 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1335 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1334 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV16 @ SV13 )
| ~ ( mrel @ SV15 @ SV13 ) ) )
= $false )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(147,plain,
( ( ~ ( eiw_di @ sK4_SX0 @ mactual ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(148,plain,
( ( ~ ! [SY1273: mworld] :
( ~ ( mrel @ mactual @ SY1273 )
| ( empty @ sK4_SX0 @ SY1273 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(149,plain,
! [SV2: mworld,SV17: $i] :
( ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( ! [SY1274: mworld] :
( ~ ( mrel @ SV2 @ SY1274 )
| ! [SY1275: $i] :
( ~ ( eiw_di @ SY1275 @ SY1274 )
| ! [SY1276: mworld] :
( ~ ( mrel @ SY1274 @ SY1276 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1276 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1276 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1275 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1275 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(150,plain,
( ( eiw_di @ sK2_SX0 @ mactual )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(151,plain,
( ( ! [SY1257: mworld] :
( ~ ( mrel @ mactual @ SY1257 )
| ~ ! [SY1258: mworld] :
( ~ ( mrel @ SY1257 @ SY1258 )
| ( empty @ sK2_SX0 @ SY1258 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(152,plain,
! [SV4: mworld,SV18: $i] :
( ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( ! [SY1282: mworld] :
( ~ ( mrel @ SV4 @ SY1282 )
| ! [SY1283: $i] :
( ~ ( eiw_di @ SY1283 @ SY1282 )
| ! [SY1284: mworld] :
( ~ ( mrel @ SY1282 @ SY1284 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1284 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1284 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1283 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1283 @ SY1285 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV5: mworld,SV19: $i] :
( ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( ! [SY1290: mworld] :
( ~ ( mrel @ SV5 @ SY1290 )
| ! [SY1291: $i] :
( ~ ( eiw_di @ SY1291 @ SY1290 )
| ! [SY1292: mworld] :
( ~ ( mrel @ SY1290 @ SY1292 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1292 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1291 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1292 @ SY1294 )
| ( qmltpeq @ SY1291 @ SV19 @ SY1294 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV6: mworld,SV20: $i] :
( ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( ! [SY1295: mworld] :
( ~ ( mrel @ SV6 @ SY1295 )
| ( qmltpeq @ SV20 @ SV20 @ SY1295 ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV7: mworld,SV21: $i] :
( ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( ! [SY1296: mworld] :
( ~ ( mrel @ SV7 @ SY1296 )
| ! [SY1297: $i] :
( ~ ( eiw_di @ SY1297 @ SY1296 )
| ! [SY1298: mworld] :
( ~ ( mrel @ SY1296 @ SY1298 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1298 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1297 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1298 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1297 ) @ SY1300 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV8: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( ! [SY1301: mworld] :
( ~ ( mrel @ SV8 @ SY1301 )
| ! [SY1302: $i] :
( ~ ( eiw_di @ SY1302 @ SY1301 )
| ! [SY1303: mworld] :
( ~ ( mrel @ SY1301 @ SY1303 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1303 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1303 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1302 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV9: mworld,SV23: $i] :
( ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( ! [SY1309: mworld] :
( ~ ( mrel @ SV9 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( eiw_di @ SY1310 @ SY1309 )
| ! [SY1311: mworld] :
( ~ ( mrel @ SY1309 @ SY1311 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1311 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1310 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1311 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1311 @ SX5 )
| ( empty @ SY1310 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(158,plain,
( ( mrel @ sK1_SY195 @ sK6_SY1259 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(159,plain,
( ( ~ ( eiw_di @ sK7_SY1315 @ sK6_SY1259 )
| ! [SY1346: mworld] :
( ~ ( mrel @ sK6_SY1259 @ SY1346 )
| ~ ~ ( ~ ! [SY1347: mworld] :
( ~ ( mrel @ SY1346 @ SY1347 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1347 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1346 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1351: mworld] :
( ~ ( mrel @ SY1346 @ SY1351 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1351 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1351 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(160,plain,
! [SV10: mworld,SV24: $i] :
( ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( ! [SY1327: mworld] :
( ~ ( mrel @ SV10 @ SY1327 )
| ! [SY1328: $i] :
( ~ ( eiw_di @ SY1328 @ SY1327 )
| ! [SY1329: mworld] :
( ~ ( mrel @ SY1327 @ SY1329 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1329 @ SY1330 )
| ( in @ SV24 @ SY1328 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1329 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1328 @ SV24 @ SY1332 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(161,plain,
! [SV11: mworld,SV25: $i] :
( ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( ! [SY1333: mworld] :
( ~ ( mrel @ SV11 @ SY1333 )
| ! [SY1334: $i] :
( ~ ( eiw_di @ SY1334 @ SY1333 )
| ! [SY1335: mworld] :
( ~ ( mrel @ SY1333 @ SY1335 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1335 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1334 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1335 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1335 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1334 @ SX9 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(162,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ SV13 )
| ~ ( mrel @ SV15 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(163,plain,
( ( eiw_di @ sK4_SX0 @ mactual )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(164,plain,
( ( ! [SY1273: mworld] :
( ~ ( mrel @ mactual @ SY1273 )
| ( empty @ sK4_SX0 @ SY1273 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(165,plain,
! [SV17: $i,SV26: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV26 )
| ! [SY1357: $i] :
( ~ ( eiw_di @ SY1357 @ SV26 )
| ! [SY1358: mworld] :
( ~ ( mrel @ SV26 @ SY1358 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1358 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1358 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1357 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1357 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV27: mworld] :
( ( ~ ( mrel @ mactual @ SV27 )
| ~ ! [SY1364: mworld] :
( ~ ( mrel @ SV27 @ SY1364 )
| ( empty @ sK2_SX0 @ SY1364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(167,plain,
! [SV18: $i,SV28: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV28 )
| ! [SY1365: $i] :
( ~ ( eiw_di @ SY1365 @ SV28 )
| ! [SY1366: mworld] :
( ~ ( mrel @ SV28 @ SY1366 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1366 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1366 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1365 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1365 @ SY1285 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(168,plain,
! [SV19: $i,SV29: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV29 )
| ! [SY1372: $i] :
( ~ ( eiw_di @ SY1372 @ SV29 )
| ! [SY1373: mworld] :
( ~ ( mrel @ SV29 @ SY1373 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1373 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1372 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1373 @ SY1294 )
| ( qmltpeq @ SY1372 @ SV19 @ SY1294 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV20: $i,SV30: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV30 )
| ( qmltpeq @ SV20 @ SV20 @ SV30 ) )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV21: $i,SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV31 )
| ! [SY1376: $i] :
( ~ ( eiw_di @ SY1376 @ SV31 )
| ! [SY1377: mworld] :
( ~ ( mrel @ SV31 @ SY1377 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1377 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1376 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1377 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1376 ) @ SY1300 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV22: $i,SV32: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV32 )
| ! [SY1380: $i] :
( ~ ( eiw_di @ SY1380 @ SV32 )
| ! [SY1381: mworld] :
( ~ ( mrel @ SV32 @ SY1381 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1381 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1381 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1380 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1380 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV23: $i,SV33: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV33 )
| ! [SY1387: $i] :
( ~ ( eiw_di @ SY1387 @ SV33 )
| ! [SY1388: mworld] :
( ~ ( mrel @ SV33 @ SY1388 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1388 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1387 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1388 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1388 @ SX5 )
| ( empty @ SY1387 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(173,plain,
( ( ~ ( eiw_di @ sK7_SY1315 @ sK6_SY1259 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(174,plain,
( ( ! [SY1346: mworld] :
( ~ ( mrel @ sK6_SY1259 @ SY1346 )
| ~ ~ ( ~ ! [SY1347: mworld] :
( ~ ( mrel @ SY1346 @ SY1347 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1347 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1264: mworld] :
( ~ ( mrel @ SY1346 @ SY1264 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1264 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1351: mworld] :
( ~ ( mrel @ SY1346 @ SY1351 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1351 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1351 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(175,plain,
! [SV24: $i,SV34: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV34 )
| ! [SY1392: $i] :
( ~ ( eiw_di @ SY1392 @ SV34 )
| ! [SY1393: mworld] :
( ~ ( mrel @ SV34 @ SY1393 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1393 @ SY1330 )
| ( in @ SV24 @ SY1392 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1393 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1392 @ SV24 @ SY1332 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(176,plain,
! [SV25: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV35 )
| ! [SY1397: $i] :
( ~ ( eiw_di @ SY1397 @ SV35 )
| ! [SY1398: mworld] :
( ~ ( mrel @ SV35 @ SY1398 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1398 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1397 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1398 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1398 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1397 @ SX9 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(177,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ SV13 ) )
= $true )
| ( ( ~ ( mrel @ SV15 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV36: mworld] :
( ( ~ ( mrel @ mactual @ SV36 )
| ( empty @ sK4_SX0 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(179,plain,
! [SV17: $i,SV26: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV26 ) )
= $true )
| ( ( ! [SY1357: $i] :
( ~ ( eiw_di @ SY1357 @ SV26 )
| ! [SY1358: mworld] :
( ~ ( mrel @ SV26 @ SY1358 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1358 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1358 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1357 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1357 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ mactual @ SV27 ) )
= $true )
| ( ( ~ ! [SY1364: mworld] :
( ~ ( mrel @ SV27 @ SY1364 )
| ( empty @ sK2_SX0 @ SY1364 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV18: $i,SV28: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV28 ) )
= $true )
| ( ( ! [SY1365: $i] :
( ~ ( eiw_di @ SY1365 @ SV28 )
| ! [SY1366: mworld] :
( ~ ( mrel @ SV28 @ SY1366 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1366 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1366 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1365 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1365 @ SY1285 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV19: $i,SV29: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV29 ) )
= $true )
| ( ( ! [SY1372: $i] :
( ~ ( eiw_di @ SY1372 @ SV29 )
| ! [SY1373: mworld] :
( ~ ( mrel @ SV29 @ SY1373 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1373 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1372 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1373 @ SY1294 )
| ( qmltpeq @ SY1372 @ SV19 @ SY1294 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV20: $i,SV30: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV30 ) )
= $true )
| ( ( qmltpeq @ SV20 @ SV20 @ SV30 )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV21: $i,SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV31 ) )
= $true )
| ( ( ! [SY1376: $i] :
( ~ ( eiw_di @ SY1376 @ SV31 )
| ! [SY1377: mworld] :
( ~ ( mrel @ SV31 @ SY1377 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1377 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1376 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1377 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1376 ) @ SY1300 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV22: $i,SV32: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV32 ) )
= $true )
| ( ( ! [SY1380: $i] :
( ~ ( eiw_di @ SY1380 @ SV32 )
| ! [SY1381: mworld] :
( ~ ( mrel @ SV32 @ SY1381 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1381 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1381 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1380 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1380 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV23: $i,SV33: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV33 ) )
= $true )
| ( ( ! [SY1387: $i] :
( ~ ( eiw_di @ SY1387 @ SV33 )
| ! [SY1388: mworld] :
( ~ ( mrel @ SV33 @ SY1388 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1388 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1387 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1388 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1388 @ SX5 )
| ( empty @ SY1387 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(187,plain,
( ( eiw_di @ sK7_SY1315 @ sK6_SY1259 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(188,plain,
( ( ~ ( mrel @ sK6_SY1259 @ sK8_SY1346 )
| ~ ~ ( ~ ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(189,plain,
! [SV24: $i,SV34: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV34 ) )
= $true )
| ( ( ! [SY1392: $i] :
( ~ ( eiw_di @ SY1392 @ SV34 )
| ! [SY1393: mworld] :
( ~ ( mrel @ SV34 @ SY1393 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1393 @ SY1330 )
| ( in @ SV24 @ SY1392 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1393 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1392 @ SV24 @ SY1332 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV25: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV35 ) )
= $true )
| ( ( ! [SY1397: $i] :
( ~ ( eiw_di @ SY1397 @ SV35 )
| ! [SY1398: mworld] :
( ~ ( mrel @ SV35 @ SY1398 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1398 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1397 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1398 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1398 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1397 @ SX9 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV15: mworld,SV13: mworld,SV16: $i] :
( ( ( eiw_di @ SV16 @ SV13 )
= $false )
| ( ( ~ ( mrel @ SV15 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(192,plain,
! [SV36: mworld] :
( ( ( ~ ( mrel @ mactual @ SV36 ) )
= $true )
| ( ( empty @ sK4_SX0 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV17: $i,SV26: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( ! [SY1357: $i] :
( ~ ( eiw_di @ SY1357 @ SV26 )
| ! [SY1358: mworld] :
( ~ ( mrel @ SV26 @ SY1358 )
| ! [SY1277: $i] :
( ~ ( eiw_di @ SY1277 @ SY1358 )
| ! [SY1278: mworld] :
( ~ ( mrel @ SY1358 @ SY1278 )
| ~ ~ ( ~ ! [SY1279: mworld] :
( ~ ( mrel @ SY1278 @ SY1279 )
| ( qmltpeq @ SV17 @ SY1357 @ SY1279 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1278 @ SX7 )
| ( qmltpeq @ SY1357 @ SY1277 @ SX7 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1278 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1277 @ SY1281 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV27: mworld] :
( ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( ~ ! [SY1364: mworld] :
( ~ ( mrel @ SV27 @ SY1364 )
| ( empty @ sK2_SX0 @ SY1364 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(195,plain,
! [SV18: $i,SV28: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( ! [SY1365: $i] :
( ~ ( eiw_di @ SY1365 @ SV28 )
| ! [SY1366: mworld] :
( ~ ( mrel @ SV28 @ SY1366 )
| ! [SY1285: $i] :
( ~ ( eiw_di @ SY1285 @ SY1366 )
| ! [SY1286: mworld] :
( ~ ( mrel @ SY1366 @ SY1286 )
| ~ ~ ( ~ ! [SY1287: mworld] :
( ~ ( mrel @ SY1286 @ SY1287 )
| ( qmltpeq @ SV18 @ SY1365 @ SY1287 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1286 @ SY1288 )
| ( in @ SV18 @ SY1285 @ SY1288 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1286 @ SX7 )
| ( in @ SY1365 @ SY1285 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV19: $i,SV29: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( ! [SY1372: $i] :
( ~ ( eiw_di @ SY1372 @ SV29 )
| ! [SY1373: mworld] :
( ~ ( mrel @ SV29 @ SY1373 )
| ~ ! [SY1293: mworld] :
( ~ ( mrel @ SY1373 @ SY1293 )
| ( qmltpeq @ SV19 @ SY1372 @ SY1293 ) )
| ! [SY1294: mworld] :
( ~ ( mrel @ SY1373 @ SY1294 )
| ( qmltpeq @ SY1372 @ SV19 @ SY1294 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(197,plain,
! [SV20: $i,SV30: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( qmltpeq @ SV20 @ SV20 @ SV30 )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(198,plain,
! [SV21: $i,SV31: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( ! [SY1376: $i] :
( ~ ( eiw_di @ SY1376 @ SV31 )
| ! [SY1377: mworld] :
( ~ ( mrel @ SV31 @ SY1377 )
| ~ ! [SY1299: mworld] :
( ~ ( mrel @ SY1377 @ SY1299 )
| ( qmltpeq @ SV21 @ SY1376 @ SY1299 ) )
| ! [SY1300: mworld] :
( ~ ( mrel @ SY1377 @ SY1300 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SY1376 ) @ SY1300 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(199,plain,
! [SV22: $i,SV32: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( ! [SY1380: $i] :
( ~ ( eiw_di @ SY1380 @ SV32 )
| ! [SY1381: mworld] :
( ~ ( mrel @ SV32 @ SY1381 )
| ! [SY1304: $i] :
( ~ ( eiw_di @ SY1304 @ SY1381 )
| ! [SY1305: mworld] :
( ~ ( mrel @ SY1381 @ SY1305 )
| ~ ~ ( ~ ! [SY1306: mworld] :
( ~ ( mrel @ SY1305 @ SY1306 )
| ( qmltpeq @ SV22 @ SY1380 @ SY1306 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1305 @ SY1307 )
| ( in @ SY1304 @ SV22 @ SY1307 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1305 @ SX7 )
| ( in @ SY1304 @ SY1380 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(200,plain,
! [SV23: $i,SV33: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( ! [SY1387: $i] :
( ~ ( eiw_di @ SY1387 @ SV33 )
| ! [SY1388: mworld] :
( ~ ( mrel @ SV33 @ SY1388 )
| ~ ~ ( ~ ! [SY1312: mworld] :
( ~ ( mrel @ SY1388 @ SY1312 )
| ( qmltpeq @ SV23 @ SY1387 @ SY1312 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1388 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1388 @ SX5 )
| ( empty @ SY1387 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(201,plain,
( ( ~ ( mrel @ sK6_SY1259 @ sK8_SY1346 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(202,plain,
( ( ~ ~ ( ~ ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(203,plain,
! [SV24: $i,SV34: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( ! [SY1392: $i] :
( ~ ( eiw_di @ SY1392 @ SV34 )
| ! [SY1393: mworld] :
( ~ ( mrel @ SV34 @ SY1393 )
| ~ ! [SY1330: mworld] :
( ~ ( mrel @ SY1393 @ SY1330 )
| ( in @ SV24 @ SY1392 @ SY1330 ) )
| ! [SY1331: mworld] :
( ~ ( mrel @ SY1393 @ SY1331 )
| ~ ! [SY1332: mworld] :
( ~ ( mrel @ SY1331 @ SY1332 )
| ( in @ SY1392 @ SV24 @ SY1332 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(204,plain,
! [SV25: $i,SV35: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( ! [SY1397: $i] :
( ~ ( eiw_di @ SY1397 @ SV35 )
| ! [SY1398: mworld] :
( ~ ( mrel @ SV35 @ SY1398 )
| ~ ~ ( ~ ! [SY1336: mworld] :
( ~ ( mrel @ SY1398 @ SY1336 )
| ~ ! [SY1337: mworld] :
( ~ ( mrel @ SY1336 @ SY1337 )
| ( qmltpeq @ SV25 @ ( singleton @ SY1397 ) @ SY1337 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1398 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1340: mworld] :
( ~ ( mrel @ SY1398 @ SY1340 )
| ! [SY1341: $i] :
( ~ ( eiw_di @ SY1341 @ SY1340 )
| ! [SY1342: mworld] :
( ~ ( mrel @ SY1340 @ SY1342 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1342 @ SY1343 )
| ( in @ SY1341 @ SV25 @ SY1343 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY1342 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY1341 @ SY1397 @ SX9 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(205,plain,
! [SV16: $i,SV13: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV13 )
= $false )
| ( ( eiw_di @ SV16 @ SV13 )
= $false )
| ( ( eiw_di @ SV16 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV36: mworld] :
( ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( empty @ sK4_SX0 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(207,plain,
! [SV2: mworld,SV17: $i,SV26: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV26 )
| ! [SY1419: mworld] :
( ~ ( mrel @ SV26 @ SY1419 )
| ! [SY1420: $i] :
( ~ ( eiw_di @ SY1420 @ SY1419 )
| ! [SY1421: mworld] :
( ~ ( mrel @ SY1419 @ SY1421 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1421 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1421 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1420 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1421 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1420 @ SY1281 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(208,plain,
! [SV27: mworld] :
( ( ( ! [SY1364: mworld] :
( ~ ( mrel @ SV27 @ SY1364 )
| ( empty @ sK2_SX0 @ SY1364 ) ) )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV4: mworld,SV18: $i,SV28: mworld,SV38: $i] :
( ( ( ~ ( eiw_di @ SV38 @ SV28 )
| ! [SY1425: mworld] :
( ~ ( mrel @ SV28 @ SY1425 )
| ! [SY1426: $i] :
( ~ ( eiw_di @ SY1426 @ SY1425 )
| ! [SY1427: mworld] :
( ~ ( mrel @ SY1425 @ SY1427 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1427 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1427 @ SY1288 )
| ( in @ SV18 @ SY1426 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1427 @ SY1430 )
| ( in @ SV38 @ SY1426 @ SY1430 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(210,plain,
! [SV5: mworld,SV19: $i,SV29: mworld,SV39: $i] :
( ( ( ~ ( eiw_di @ SV39 @ SV29 )
| ! [SY1431: mworld] :
( ~ ( mrel @ SV29 @ SY1431 )
| ~ ! [SY1432: mworld] :
( ~ ( mrel @ SY1431 @ SY1432 )
| ( qmltpeq @ SV19 @ SV39 @ SY1432 ) )
| ! [SY1433: mworld] :
( ~ ( mrel @ SY1431 @ SY1433 )
| ( qmltpeq @ SV39 @ SV19 @ SY1433 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(211,plain,
! [SV7: mworld,SV21: $i,SV31: mworld,SV40: $i] :
( ( ( ~ ( eiw_di @ SV40 @ SV31 )
| ! [SY1434: mworld] :
( ~ ( mrel @ SV31 @ SY1434 )
| ~ ! [SY1435: mworld] :
( ~ ( mrel @ SY1434 @ SY1435 )
| ( qmltpeq @ SV21 @ SV40 @ SY1435 ) )
| ! [SY1436: mworld] :
( ~ ( mrel @ SY1434 @ SY1436 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1436 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(212,plain,
! [SV8: mworld,SV22: $i,SV32: mworld,SV41: $i] :
( ( ( ~ ( eiw_di @ SV41 @ SV32 )
| ! [SY1437: mworld] :
( ~ ( mrel @ SV32 @ SY1437 )
| ! [SY1438: $i] :
( ~ ( eiw_di @ SY1438 @ SY1437 )
| ! [SY1439: mworld] :
( ~ ( mrel @ SY1437 @ SY1439 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1439 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1439 @ SY1307 )
| ( in @ SY1438 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1439 @ SY1442 )
| ( in @ SY1438 @ SV41 @ SY1442 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(213,plain,
! [SV9: mworld,SV23: $i,SV33: mworld,SV42: $i] :
( ( ( ~ ( eiw_di @ SV42 @ SV33 )
| ! [SY1443: mworld] :
( ~ ( mrel @ SV33 @ SY1443 )
| ~ ~ ( ~ ! [SY1444: mworld] :
( ~ ( mrel @ SY1443 @ SY1444 )
| ( qmltpeq @ SV23 @ SV42 @ SY1444 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1443 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SY1446: mworld] :
( ~ ( mrel @ SY1443 @ SY1446 )
| ( empty @ SV42 @ SY1446 ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(214,plain,
( ( mrel @ sK6_SY1259 @ sK8_SY1346 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(215,plain,
( ( ~ ( ~ ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(216,plain,
! [SV10: mworld,SV24: $i,SV34: mworld,SV43: $i] :
( ( ( ~ ( eiw_di @ SV43 @ SV34 )
| ! [SY1447: mworld] :
( ~ ( mrel @ SV34 @ SY1447 )
| ~ ! [SY1448: mworld] :
( ~ ( mrel @ SY1447 @ SY1448 )
| ( in @ SV24 @ SV43 @ SY1448 ) )
| ! [SY1449: mworld] :
( ~ ( mrel @ SY1447 @ SY1449 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1449 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV11: mworld,SV25: $i,SV35: mworld,SV44: $i] :
( ( ( ~ ( eiw_di @ SV44 @ SV35 )
| ! [SY1451: mworld] :
( ~ ( mrel @ SV35 @ SY1451 )
| ~ ~ ( ~ ! [SY1452: mworld] :
( ~ ( mrel @ SY1451 @ SY1452 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1452 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1451 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1456: mworld] :
( ~ ( mrel @ SY1451 @ SY1456 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1456 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1456 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV2: mworld,SV17: $i,SV26: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV26 ) )
= $true )
| ( ( ! [SY1419: mworld] :
( ~ ( mrel @ SV26 @ SY1419 )
| ! [SY1420: $i] :
( ~ ( eiw_di @ SY1420 @ SY1419 )
| ! [SY1421: mworld] :
( ~ ( mrel @ SY1419 @ SY1421 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1421 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1421 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1420 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1421 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1420 @ SY1281 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(219,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ ( sK9_SY1364 @ SV27 ) )
| ( empty @ sK2_SX0 @ ( sK9_SY1364 @ SV27 ) ) )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(220,plain,
! [SV4: mworld,SV18: $i,SV28: mworld,SV38: $i] :
( ( ( ~ ( eiw_di @ SV38 @ SV28 ) )
= $true )
| ( ( ! [SY1425: mworld] :
( ~ ( mrel @ SV28 @ SY1425 )
| ! [SY1426: $i] :
( ~ ( eiw_di @ SY1426 @ SY1425 )
| ! [SY1427: mworld] :
( ~ ( mrel @ SY1425 @ SY1427 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1427 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1427 @ SY1288 )
| ( in @ SV18 @ SY1426 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1427 @ SY1430 )
| ( in @ SV38 @ SY1426 @ SY1430 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(221,plain,
! [SV5: mworld,SV19: $i,SV29: mworld,SV39: $i] :
( ( ( ~ ( eiw_di @ SV39 @ SV29 ) )
= $true )
| ( ( ! [SY1431: mworld] :
( ~ ( mrel @ SV29 @ SY1431 )
| ~ ! [SY1432: mworld] :
( ~ ( mrel @ SY1431 @ SY1432 )
| ( qmltpeq @ SV19 @ SV39 @ SY1432 ) )
| ! [SY1433: mworld] :
( ~ ( mrel @ SY1431 @ SY1433 )
| ( qmltpeq @ SV39 @ SV19 @ SY1433 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(222,plain,
! [SV7: mworld,SV21: $i,SV31: mworld,SV40: $i] :
( ( ( ~ ( eiw_di @ SV40 @ SV31 ) )
= $true )
| ( ( ! [SY1434: mworld] :
( ~ ( mrel @ SV31 @ SY1434 )
| ~ ! [SY1435: mworld] :
( ~ ( mrel @ SY1434 @ SY1435 )
| ( qmltpeq @ SV21 @ SV40 @ SY1435 ) )
| ! [SY1436: mworld] :
( ~ ( mrel @ SY1434 @ SY1436 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1436 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(223,plain,
! [SV8: mworld,SV22: $i,SV32: mworld,SV41: $i] :
( ( ( ~ ( eiw_di @ SV41 @ SV32 ) )
= $true )
| ( ( ! [SY1437: mworld] :
( ~ ( mrel @ SV32 @ SY1437 )
| ! [SY1438: $i] :
( ~ ( eiw_di @ SY1438 @ SY1437 )
| ! [SY1439: mworld] :
( ~ ( mrel @ SY1437 @ SY1439 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1439 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1439 @ SY1307 )
| ( in @ SY1438 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1439 @ SY1442 )
| ( in @ SY1438 @ SV41 @ SY1442 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(224,plain,
! [SV9: mworld,SV23: $i,SV33: mworld,SV42: $i] :
( ( ( ~ ( eiw_di @ SV42 @ SV33 ) )
= $true )
| ( ( ! [SY1443: mworld] :
( ~ ( mrel @ SV33 @ SY1443 )
| ~ ~ ( ~ ! [SY1444: mworld] :
( ~ ( mrel @ SY1443 @ SY1444 )
| ( qmltpeq @ SV23 @ SV42 @ SY1444 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1443 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SY1446: mworld] :
( ~ ( mrel @ SY1443 @ SY1446 )
| ( empty @ SV42 @ SY1446 ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(225,plain,
( ( ~ ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) )
| ~ ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(226,plain,
! [SV10: mworld,SV24: $i,SV34: mworld,SV43: $i] :
( ( ( ~ ( eiw_di @ SV43 @ SV34 ) )
= $true )
| ( ( ! [SY1447: mworld] :
( ~ ( mrel @ SV34 @ SY1447 )
| ~ ! [SY1448: mworld] :
( ~ ( mrel @ SY1447 @ SY1448 )
| ( in @ SV24 @ SV43 @ SY1448 ) )
| ! [SY1449: mworld] :
( ~ ( mrel @ SY1447 @ SY1449 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1449 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(227,plain,
! [SV11: mworld,SV25: $i,SV35: mworld,SV44: $i] :
( ( ( ~ ( eiw_di @ SV44 @ SV35 ) )
= $true )
| ( ( ! [SY1451: mworld] :
( ~ ( mrel @ SV35 @ SY1451 )
| ~ ~ ( ~ ! [SY1452: mworld] :
( ~ ( mrel @ SY1451 @ SY1452 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1452 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1451 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1456: mworld] :
( ~ ( mrel @ SY1451 @ SY1456 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1456 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1456 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(228,plain,
! [SV2: mworld,SV17: $i,SV26: mworld,SV37: $i] :
( ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( ! [SY1419: mworld] :
( ~ ( mrel @ SV26 @ SY1419 )
| ! [SY1420: $i] :
( ~ ( eiw_di @ SY1420 @ SY1419 )
| ! [SY1421: mworld] :
( ~ ( mrel @ SY1419 @ SY1421 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1421 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1421 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1420 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1421 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1420 @ SY1281 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ ( sK9_SY1364 @ SV27 ) ) )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(230,plain,
! [SV27: mworld] :
( ( ( empty @ sK2_SX0 @ ( sK9_SY1364 @ SV27 ) )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(231,plain,
! [SV4: mworld,SV18: $i,SV28: mworld,SV38: $i] :
( ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( ! [SY1425: mworld] :
( ~ ( mrel @ SV28 @ SY1425 )
| ! [SY1426: $i] :
( ~ ( eiw_di @ SY1426 @ SY1425 )
| ! [SY1427: mworld] :
( ~ ( mrel @ SY1425 @ SY1427 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1427 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1427 @ SY1288 )
| ( in @ SV18 @ SY1426 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1427 @ SY1430 )
| ( in @ SV38 @ SY1426 @ SY1430 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(232,plain,
! [SV5: mworld,SV19: $i,SV29: mworld,SV39: $i] :
( ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( ! [SY1431: mworld] :
( ~ ( mrel @ SV29 @ SY1431 )
| ~ ! [SY1432: mworld] :
( ~ ( mrel @ SY1431 @ SY1432 )
| ( qmltpeq @ SV19 @ SV39 @ SY1432 ) )
| ! [SY1433: mworld] :
( ~ ( mrel @ SY1431 @ SY1433 )
| ( qmltpeq @ SV39 @ SV19 @ SY1433 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(233,plain,
! [SV7: mworld,SV21: $i,SV31: mworld,SV40: $i] :
( ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( ! [SY1434: mworld] :
( ~ ( mrel @ SV31 @ SY1434 )
| ~ ! [SY1435: mworld] :
( ~ ( mrel @ SY1434 @ SY1435 )
| ( qmltpeq @ SV21 @ SV40 @ SY1435 ) )
| ! [SY1436: mworld] :
( ~ ( mrel @ SY1434 @ SY1436 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1436 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(234,plain,
! [SV8: mworld,SV22: $i,SV32: mworld,SV41: $i] :
( ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( ! [SY1437: mworld] :
( ~ ( mrel @ SV32 @ SY1437 )
| ! [SY1438: $i] :
( ~ ( eiw_di @ SY1438 @ SY1437 )
| ! [SY1439: mworld] :
( ~ ( mrel @ SY1437 @ SY1439 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1439 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1439 @ SY1307 )
| ( in @ SY1438 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1439 @ SY1442 )
| ( in @ SY1438 @ SV41 @ SY1442 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(235,plain,
! [SV9: mworld,SV23: $i,SV33: mworld,SV42: $i] :
( ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( ! [SY1443: mworld] :
( ~ ( mrel @ SV33 @ SY1443 )
| ~ ~ ( ~ ! [SY1444: mworld] :
( ~ ( mrel @ SY1443 @ SY1444 )
| ( qmltpeq @ SV23 @ SV42 @ SY1444 ) )
| ~ ! [SY1313: mworld] :
( ~ ( mrel @ SY1443 @ SY1313 )
| ( empty @ SV23 @ SY1313 ) ) )
| ! [SY1446: mworld] :
( ~ ( mrel @ SY1443 @ SY1446 )
| ( empty @ SV42 @ SY1446 ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(236,plain,
( ( ~ ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(237,plain,
( ( ~ ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(238,plain,
! [SV10: mworld,SV24: $i,SV34: mworld,SV43: $i] :
( ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( ! [SY1447: mworld] :
( ~ ( mrel @ SV34 @ SY1447 )
| ~ ! [SY1448: mworld] :
( ~ ( mrel @ SY1447 @ SY1448 )
| ( in @ SV24 @ SV43 @ SY1448 ) )
| ! [SY1449: mworld] :
( ~ ( mrel @ SY1447 @ SY1449 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1449 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV11: mworld,SV25: $i,SV35: mworld,SV44: $i] :
( ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( ! [SY1451: mworld] :
( ~ ( mrel @ SV35 @ SY1451 )
| ~ ~ ( ~ ! [SY1452: mworld] :
( ~ ( mrel @ SY1451 @ SY1452 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1452 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1338: mworld] :
( ~ ( mrel @ SY1451 @ SY1338 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1338 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1456: mworld] :
( ~ ( mrel @ SY1451 @ SY1456 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1456 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1456 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV2: mworld,SV37: $i,SV17: $i,SV45: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV45 )
| ! [SY1462: $i] :
( ~ ( eiw_di @ SY1462 @ SV45 )
| ! [SY1463: mworld] :
( ~ ( mrel @ SV45 @ SY1463 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1463 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1463 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1462 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1463 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1462 @ SY1281 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV27: mworld] :
( ( ( mrel @ SV27 @ ( sK9_SY1364 @ SV27 ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(242,plain,
! [SV4: mworld,SV38: $i,SV18: $i,SV46: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV46 )
| ! [SY1467: $i] :
( ~ ( eiw_di @ SY1467 @ SV46 )
| ! [SY1468: mworld] :
( ~ ( mrel @ SV46 @ SY1468 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1468 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1468 @ SY1288 )
| ( in @ SV18 @ SY1467 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1468 @ SY1430 )
| ( in @ SV38 @ SY1467 @ SY1430 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV5: mworld,SV39: $i,SV19: $i,SV47: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV47 )
| ~ ! [SY1472: mworld] :
( ~ ( mrel @ SV47 @ SY1472 )
| ( qmltpeq @ SV19 @ SV39 @ SY1472 ) )
| ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV7: mworld,SV40: $i,SV21: $i,SV48: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV48 )
| ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV48 @ SY1474 )
| ( qmltpeq @ SV21 @ SV40 @ SY1474 ) )
| ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(245,plain,
! [SV8: mworld,SV41: $i,SV22: $i,SV49: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV49 )
| ! [SY1476: $i] :
( ~ ( eiw_di @ SY1476 @ SV49 )
| ! [SY1477: mworld] :
( ~ ( mrel @ SV49 @ SY1477 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1477 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1477 @ SY1307 )
| ( in @ SY1476 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1477 @ SY1442 )
| ( in @ SY1476 @ SV41 @ SY1442 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(246,plain,
! [SV9: mworld,SV42: $i,SV23: $i,SV50: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV50 )
| ~ ~ ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
| ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(247,plain,
( ( ! [SY1409: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1409 )
| ~ ! [SY1348: mworld] :
( ~ ( mrel @ SY1409 @ SY1348 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1348 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(248,plain,
( ( ~ ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(249,plain,
! [SV10: mworld,SV43: $i,SV24: $i,SV51: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV51 )
| ~ ! [SY1484: mworld] :
( ~ ( mrel @ SV51 @ SY1484 )
| ( in @ SV24 @ SV43 @ SY1484 ) )
| ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(250,plain,
! [SV11: mworld,SV44: $i,SV25: $i,SV52: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV52 )
| ~ ~ ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(251,plain,
! [SV2: mworld,SV37: $i,SV17: $i,SV45: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV45 ) )
= $true )
| ( ( ! [SY1462: $i] :
( ~ ( eiw_di @ SY1462 @ SV45 )
| ! [SY1463: mworld] :
( ~ ( mrel @ SV45 @ SY1463 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1463 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1463 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1462 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1463 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1462 @ SY1281 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(252,plain,
! [SV4: mworld,SV38: $i,SV18: $i,SV46: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV46 ) )
= $true )
| ( ( ! [SY1467: $i] :
( ~ ( eiw_di @ SY1467 @ SV46 )
| ! [SY1468: mworld] :
( ~ ( mrel @ SV46 @ SY1468 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1468 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1468 @ SY1288 )
| ( in @ SV18 @ SY1467 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1468 @ SY1430 )
| ( in @ SV38 @ SY1467 @ SY1430 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(253,plain,
! [SV5: mworld,SV39: $i,SV19: $i,SV47: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV47 ) )
= $true )
| ( ( ~ ! [SY1472: mworld] :
( ~ ( mrel @ SV47 @ SY1472 )
| ( qmltpeq @ SV19 @ SV39 @ SY1472 ) )
| ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(254,plain,
! [SV7: mworld,SV40: $i,SV21: $i,SV48: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV48 ) )
= $true )
| ( ( ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV48 @ SY1474 )
| ( qmltpeq @ SV21 @ SV40 @ SY1474 ) )
| ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV8: mworld,SV41: $i,SV22: $i,SV49: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV49 ) )
= $true )
| ( ( ! [SY1476: $i] :
( ~ ( eiw_di @ SY1476 @ SV49 )
| ! [SY1477: mworld] :
( ~ ( mrel @ SV49 @ SY1477 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1477 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1477 @ SY1307 )
| ( in @ SY1476 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1477 @ SY1442 )
| ( in @ SY1476 @ SV41 @ SY1442 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV9: mworld,SV42: $i,SV23: $i,SV50: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV50 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
| ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV53: mworld] :
( ( ~ ( mrel @ sK8_SY1346 @ SV53 )
| ~ ! [SY1497: mworld] :
( ~ ( mrel @ SV53 @ SY1497 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(258,plain,
( ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) )
| ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(259,plain,
! [SV10: mworld,SV43: $i,SV24: $i,SV51: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV51 ) )
= $true )
| ( ( ~ ! [SY1484: mworld] :
( ~ ( mrel @ SV51 @ SY1484 )
| ( in @ SV24 @ SV43 @ SY1484 ) )
| ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(260,plain,
! [SV11: mworld,SV44: $i,SV25: $i,SV52: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV52 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(261,plain,
! [SV2: mworld,SV37: $i,SV17: $i,SV45: mworld,SV26: mworld] :
( ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( ! [SY1462: $i] :
( ~ ( eiw_di @ SY1462 @ SV45 )
| ! [SY1463: mworld] :
( ~ ( mrel @ SV45 @ SY1463 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1463 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1423: mworld] :
( ~ ( mrel @ SY1463 @ SY1423 )
| ( qmltpeq @ SV37 @ SY1462 @ SY1423 ) ) )
| ! [SY1281: mworld] :
( ~ ( mrel @ SY1463 @ SY1281 )
| ( qmltpeq @ SV17 @ SY1462 @ SY1281 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(262,plain,
! [SV4: mworld,SV38: $i,SV18: $i,SV46: mworld,SV28: mworld] :
( ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( ! [SY1467: $i] :
( ~ ( eiw_di @ SY1467 @ SV46 )
| ! [SY1468: mworld] :
( ~ ( mrel @ SV46 @ SY1468 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1468 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1288: mworld] :
( ~ ( mrel @ SY1468 @ SY1288 )
| ( in @ SV18 @ SY1467 @ SY1288 ) ) )
| ! [SY1430: mworld] :
( ~ ( mrel @ SY1468 @ SY1430 )
| ( in @ SV38 @ SY1467 @ SY1430 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(263,plain,
! [SV5: mworld,SV39: $i,SV19: $i,SV47: mworld,SV29: mworld] :
( ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( ~ ! [SY1472: mworld] :
( ~ ( mrel @ SV47 @ SY1472 )
| ( qmltpeq @ SV19 @ SV39 @ SY1472 ) )
| ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV7: mworld,SV40: $i,SV21: $i,SV48: mworld,SV31: mworld] :
( ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV48 @ SY1474 )
| ( qmltpeq @ SV21 @ SV40 @ SY1474 ) )
| ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(265,plain,
! [SV8: mworld,SV41: $i,SV22: $i,SV49: mworld,SV32: mworld] :
( ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( ! [SY1476: $i] :
( ~ ( eiw_di @ SY1476 @ SV49 )
| ! [SY1477: mworld] :
( ~ ( mrel @ SV49 @ SY1477 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1477 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1307: mworld] :
( ~ ( mrel @ SY1477 @ SY1307 )
| ( in @ SY1476 @ SV22 @ SY1307 ) ) )
| ! [SY1442: mworld] :
( ~ ( mrel @ SY1477 @ SY1442 )
| ( in @ SY1476 @ SV41 @ SY1442 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(266,plain,
! [SV9: mworld,SV42: $i,SV23: $i,SV50: mworld,SV33: mworld] :
( ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
| ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(267,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ sK8_SY1346 @ SV53 ) )
= $true )
| ( ( ~ ! [SY1497: mworld] :
( ~ ( mrel @ SV53 @ SY1497 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(268,plain,
( ( ~ ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(269,plain,
( ( ~ ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(270,plain,
! [SV10: mworld,SV43: $i,SV24: $i,SV51: mworld,SV34: mworld] :
( ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( ~ ! [SY1484: mworld] :
( ~ ( mrel @ SV51 @ SY1484 )
| ( in @ SV24 @ SV43 @ SY1484 ) )
| ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(271,plain,
! [SV11: mworld,SV44: $i,SV25: $i,SV52: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(272,plain,
! [SV2: mworld,SV26: mworld,SV37: $i,SV17: $i,SV45: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV45 )
| ! [SY1498: mworld] :
( ~ ( mrel @ SV45 @ SY1498 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1498 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1500: mworld] :
( ~ ( mrel @ SY1498 @ SY1500 )
| ( qmltpeq @ SV37 @ SV54 @ SY1500 ) ) )
| ! [SY1501: mworld] :
( ~ ( mrel @ SY1498 @ SY1501 )
| ( qmltpeq @ SV17 @ SV54 @ SY1501 ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV4: mworld,SV28: mworld,SV38: $i,SV18: $i,SV46: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV46 )
| ! [SY1502: mworld] :
( ~ ( mrel @ SV46 @ SY1502 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1502 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1504: mworld] :
( ~ ( mrel @ SY1502 @ SY1504 )
| ( in @ SV18 @ SV55 @ SY1504 ) ) )
| ! [SY1505: mworld] :
( ~ ( mrel @ SY1502 @ SY1505 )
| ( in @ SV38 @ SV55 @ SY1505 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV19: $i,SV47: mworld] :
( ( ( ~ ! [SY1472: mworld] :
( ~ ( mrel @ SV47 @ SY1472 )
| ( qmltpeq @ SV19 @ SV39 @ SY1472 ) ) )
= $true )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(275,plain,
! [SV7: mworld,SV31: mworld,SV40: $i,SV21: $i,SV48: mworld] :
( ( ( ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV48 @ SY1474 )
| ( qmltpeq @ SV21 @ SV40 @ SY1474 ) ) )
= $true )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(276,plain,
! [SV8: mworld,SV32: mworld,SV41: $i,SV22: $i,SV49: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV49 )
| ! [SY1506: mworld] :
( ~ ( mrel @ SV49 @ SY1506 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1506 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1508: mworld] :
( ~ ( mrel @ SY1506 @ SY1508 )
| ( in @ SV56 @ SV22 @ SY1508 ) ) )
| ! [SY1509: mworld] :
( ~ ( mrel @ SY1506 @ SY1509 )
| ( in @ SV56 @ SV41 @ SY1509 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(277,plain,
! [SV9: mworld,SV33: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ~ ~ ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(278,plain,
! [SV53: mworld] :
( ( ( mrel @ sK8_SY1346 @ SV53 )
= $false )
| ( ( ~ ! [SY1497: mworld] :
( ~ ( mrel @ SV53 @ SY1497 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1497 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(279,plain,
( ( ! [SY1411: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1411 )
| ~ ! [SY1265: mworld] :
( ~ ( mrel @ SY1411 @ SY1265 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1265 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(280,plain,
( ( ! [SY1413: mworld] :
( ~ ( mrel @ sK8_SY1346 @ SY1413 )
| ! [SY1352: $i] :
( ~ ( eiw_di @ SY1352 @ SY1413 )
| ! [SY1353: mworld] :
( ~ ( mrel @ SY1413 @ SY1353 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1353 @ SY1269 )
| ( in @ SY1352 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1353 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1352 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(281,plain,
! [SV10: mworld,SV34: mworld,SV43: $i,SV24: $i,SV51: mworld] :
( ( ( ~ ! [SY1484: mworld] :
( ~ ( mrel @ SV51 @ SY1484 )
| ( in @ SV24 @ SV43 @ SY1484 ) ) )
= $true )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(282,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(283,plain,
! [SV2: mworld,SV26: mworld,SV37: $i,SV17: $i,SV45: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV45 ) )
= $true )
| ( ( ! [SY1498: mworld] :
( ~ ( mrel @ SV45 @ SY1498 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1498 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1500: mworld] :
( ~ ( mrel @ SY1498 @ SY1500 )
| ( qmltpeq @ SV37 @ SV54 @ SY1500 ) ) )
| ! [SY1501: mworld] :
( ~ ( mrel @ SY1498 @ SY1501 )
| ( qmltpeq @ SV17 @ SV54 @ SY1501 ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(284,plain,
! [SV4: mworld,SV28: mworld,SV38: $i,SV18: $i,SV46: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV46 ) )
= $true )
| ( ( ! [SY1502: mworld] :
( ~ ( mrel @ SV46 @ SY1502 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1502 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1504: mworld] :
( ~ ( mrel @ SY1502 @ SY1504 )
| ( in @ SV18 @ SV55 @ SY1504 ) ) )
| ! [SY1505: mworld] :
( ~ ( mrel @ SY1502 @ SY1505 )
| ( in @ SV38 @ SV55 @ SY1505 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(285,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV19: $i,SV47: mworld] :
( ( ( ! [SY1472: mworld] :
( ~ ( mrel @ SV47 @ SY1472 )
| ( qmltpeq @ SV19 @ SV39 @ SY1472 ) ) )
= $false )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(286,plain,
! [SV7: mworld,SV31: mworld,SV40: $i,SV21: $i,SV48: mworld] :
( ( ( ! [SY1474: mworld] :
( ~ ( mrel @ SV48 @ SY1474 )
| ( qmltpeq @ SV21 @ SV40 @ SY1474 ) ) )
= $false )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(287,plain,
! [SV8: mworld,SV32: mworld,SV41: $i,SV22: $i,SV49: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV49 ) )
= $true )
| ( ( ! [SY1506: mworld] :
( ~ ( mrel @ SV49 @ SY1506 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1506 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1508: mworld] :
( ~ ( mrel @ SY1506 @ SY1508 )
| ( in @ SV56 @ SV22 @ SY1508 ) ) )
| ! [SY1509: mworld] :
( ~ ( mrel @ SY1506 @ SY1509 )
| ( in @ SV56 @ SV41 @ SY1509 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV9: mworld,SV33: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ~ ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV53: mworld] :
( ( ( ! [SY1497: mworld] :
( ~ ( mrel @ SV53 @ SY1497 )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ SY1497 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV57: mworld] :
( ( ~ ( mrel @ sK8_SY1346 @ SV57 )
| ~ ! [SY1510: mworld] :
( ~ ( mrel @ SV57 @ SY1510 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV58: mworld] :
( ( ~ ( mrel @ sK8_SY1346 @ SV58 )
| ! [SY1511: $i] :
( ~ ( eiw_di @ SY1511 @ SV58 )
| ! [SY1512: mworld] :
( ~ ( mrel @ SV58 @ SY1512 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1512 @ SY1269 )
| ( in @ SY1511 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1512 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1511 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV10: mworld,SV34: mworld,SV43: $i,SV24: $i,SV51: mworld] :
( ( ( ! [SY1484: mworld] :
( ~ ( mrel @ SV51 @ SY1484 )
| ( in @ SV24 @ SV43 @ SY1484 ) ) )
= $false )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(293,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) )
| ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(294,plain,
! [SV2: mworld,SV26: mworld,SV37: $i,SV17: $i,SV45: mworld,SV54: $i] :
( ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( ! [SY1498: mworld] :
( ~ ( mrel @ SV45 @ SY1498 )
| ~ ~ ( ~ ! [SY1422: mworld] :
( ~ ( mrel @ SY1498 @ SY1422 )
| ( qmltpeq @ SV17 @ SV37 @ SY1422 ) )
| ~ ! [SY1500: mworld] :
( ~ ( mrel @ SY1498 @ SY1500 )
| ( qmltpeq @ SV37 @ SV54 @ SY1500 ) ) )
| ! [SY1501: mworld] :
( ~ ( mrel @ SY1498 @ SY1501 )
| ( qmltpeq @ SV17 @ SV54 @ SY1501 ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(295,plain,
! [SV4: mworld,SV28: mworld,SV38: $i,SV18: $i,SV46: mworld,SV55: $i] :
( ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( ! [SY1502: mworld] :
( ~ ( mrel @ SV46 @ SY1502 )
| ~ ~ ( ~ ! [SY1428: mworld] :
( ~ ( mrel @ SY1502 @ SY1428 )
| ( qmltpeq @ SV18 @ SV38 @ SY1428 ) )
| ~ ! [SY1504: mworld] :
( ~ ( mrel @ SY1502 @ SY1504 )
| ( in @ SV18 @ SV55 @ SY1504 ) ) )
| ! [SY1505: mworld] :
( ~ ( mrel @ SY1502 @ SY1505 )
| ( in @ SV38 @ SV55 @ SY1505 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(296,plain,
! [SV19: $i,SV39: $i,SV29: mworld,SV5: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
| ( qmltpeq @ SV19 @ SV39 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) ) )
= $false )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[285]) ).
thf(297,plain,
! [SV21: $i,SV40: $i,SV31: mworld,SV7: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
| ( qmltpeq @ SV21 @ SV40 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) ) )
= $false )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[286]) ).
thf(298,plain,
! [SV8: mworld,SV32: mworld,SV41: $i,SV22: $i,SV49: mworld,SV56: $i] :
( ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( ! [SY1506: mworld] :
( ~ ( mrel @ SV49 @ SY1506 )
| ~ ~ ( ~ ! [SY1440: mworld] :
( ~ ( mrel @ SY1506 @ SY1440 )
| ( qmltpeq @ SV22 @ SV41 @ SY1440 ) )
| ~ ! [SY1508: mworld] :
( ~ ( mrel @ SY1506 @ SY1508 )
| ( in @ SV56 @ SV22 @ SY1508 ) ) )
| ! [SY1509: mworld] :
( ~ ( mrel @ SY1506 @ SY1509 )
| ( in @ SV56 @ SV41 @ SY1509 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(299,plain,
! [SV9: mworld,SV33: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) )
| ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(300,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ ( sK12_SY1497 @ SV53 ) )
| ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ ( sK12_SY1497 @ SV53 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV53 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(301,plain,
! [SV57: mworld] :
( ( ( ~ ( mrel @ sK8_SY1346 @ SV57 ) )
= $true )
| ( ( ~ ! [SY1510: mworld] :
( ~ ( mrel @ SV57 @ SY1510 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1510 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(302,plain,
! [SV58: mworld] :
( ( ( ~ ( mrel @ sK8_SY1346 @ SV58 ) )
= $true )
| ( ( ! [SY1511: $i] :
( ~ ( eiw_di @ SY1511 @ SV58 )
| ! [SY1512: mworld] :
( ~ ( mrel @ SV58 @ SY1512 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1512 @ SY1269 )
| ( in @ SY1511 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1512 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1511 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV24: $i,SV43: $i,SV34: mworld,SV10: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
| ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) ) )
= $false )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(304,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(305,plain,
! [SV2: mworld,SV26: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV59 )
| ~ ~ ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
| ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(306,plain,
! [SV4: mworld,SV28: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV60 )
| ~ ~ ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
| ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(307,plain,
! [SV19: $i,SV39: $i,SV29: mworld,SV5: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) ) )
= $false )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(308,plain,
! [SV47: mworld,SV29: mworld,SV5: mworld,SV39: $i,SV19: $i] :
( ( ( qmltpeq @ SV19 @ SV39 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $false )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(309,plain,
! [SV21: $i,SV40: $i,SV31: mworld,SV7: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) ) )
= $false )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(310,plain,
! [SV48: mworld,SV31: mworld,SV7: mworld,SV40: $i,SV21: $i] :
( ( ( qmltpeq @ SV21 @ SV40 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $false )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(311,plain,
! [SV8: mworld,SV32: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV61 )
| ~ ~ ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
| ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(312,plain,
! [SV9: mworld,SV33: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ~ ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) ) )
= $true )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(313,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ ( sK12_SY1497 @ SV53 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(314,plain,
! [SV53: mworld] :
( ( ( qmltpeq @ sK3_SX0 @ ( singleton @ sK7_SY1315 ) @ ( sK12_SY1497 @ SV53 ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(315,plain,
! [SV57: mworld] :
( ( ( mrel @ sK8_SY1346 @ SV57 )
= $false )
| ( ( ~ ! [SY1510: mworld] :
( ~ ( mrel @ SV57 @ SY1510 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1510 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(316,plain,
! [SV58: mworld] :
( ( ( mrel @ sK8_SY1346 @ SV58 )
= $false )
| ( ( ! [SY1511: $i] :
( ~ ( eiw_di @ SY1511 @ SV58 )
| ! [SY1512: mworld] :
( ~ ( mrel @ SV58 @ SY1512 )
| ~ ~ ( ~ ! [SY1269: mworld] :
( ~ ( mrel @ SY1512 @ SY1269 )
| ( in @ SY1511 @ sK3_SX0 @ SY1269 ) )
| ~ ! [SY1355: mworld] :
( ~ ( mrel @ SY1512 @ SY1355 )
| ~ ! [SY1356: mworld] :
( ~ ( mrel @ SY1355 @ SY1356 )
| ( qmltpeq @ SY1511 @ sK7_SY1315 @ SY1356 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(317,plain,
! [SV24: $i,SV43: $i,SV34: mworld,SV10: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) ) )
= $false )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(318,plain,
! [SV51: mworld,SV34: mworld,SV10: mworld,SV43: $i,SV24: $i] :
( ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(319,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1487: mworld] :
( ~ ( mrel @ SV52 @ SY1487 )
| ~ ! [SY1453: mworld] :
( ~ ( mrel @ SY1487 @ SY1453 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1453 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(320,plain,
! [SV2: mworld,SV26: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV59 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
| ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(321,plain,
! [SV4: mworld,SV28: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV60 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
| ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(322,plain,
! [SV19: $i,SV39: $i,SV29: mworld,SV5: mworld,SV47: mworld] :
( ( ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $true )
| ( ( ! [SY1473: mworld] :
( ~ ( mrel @ SV47 @ SY1473 )
| ( qmltpeq @ SV39 @ SV19 @ SY1473 ) ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(323,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV62: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV62 )
| ( qmltpeq @ SV39 @ SV19 @ SV62 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV39 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $false )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(324,plain,
! [SV21: $i,SV40: $i,SV31: mworld,SV7: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $true )
| ( ( ! [SY1475: mworld] :
( ~ ( mrel @ SV48 @ SY1475 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SY1475 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(325,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV63: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV63 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV63 ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV40 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $false )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(326,plain,
! [SV8: mworld,SV32: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV61 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
| ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(327,plain,
! [SV9: mworld,SV33: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ! [SY1481: mworld] :
( ~ ( mrel @ SV50 @ SY1481 )
| ( qmltpeq @ SV23 @ SV42 @ SY1481 ) ) )
= $false )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(328,plain,
! [SV53: mworld] :
( ( ( mrel @ SV53 @ ( sK12_SY1497 @ SV53 ) )
= $true )
| ( ( mrel @ sK8_SY1346 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(329,plain,
! [SV57: mworld] :
( ( ( ! [SY1510: mworld] :
( ~ ( mrel @ SV57 @ SY1510 )
| ( qmltpeq @ sK3_SX0 @ empty_set @ SY1510 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(330,plain,
! [SV58: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV58 )
| ! [SY1525: mworld] :
( ~ ( mrel @ SV58 @ SY1525 )
| ~ ~ ( ~ ! [SY1526: mworld] :
( ~ ( mrel @ SY1525 @ SY1526 )
| ( in @ SV64 @ sK3_SX0 @ SY1526 ) )
| ~ ! [SY1527: mworld] :
( ~ ( mrel @ SY1525 @ SY1527 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1527 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) ) )
= $true )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(331,plain,
! [SV24: $i,SV43: $i,SV34: mworld,SV10: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( ! [SY1485: mworld] :
( ~ ( mrel @ SV51 @ SY1485 )
| ~ ! [SY1450: mworld] :
( ~ ( mrel @ SY1485 @ SY1450 )
| ( in @ SV43 @ SV24 @ SY1450 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(332,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV65: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV65 )
| ~ ! [SY1529: mworld] :
( ~ ( mrel @ SV65 @ SY1529 )
| ( in @ SV43 @ SV24 @ SY1529 ) ) )
= $true )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(333,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ~ ! [SY1530: mworld] :
( ~ ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1530 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1530 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[319]) ).
thf(334,plain,
! [SV2: mworld,SV26: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld,SV45: mworld] :
( ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
| ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(335,plain,
! [SV4: mworld,SV28: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld,SV46: mworld] :
( ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
| ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(336,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV66: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV66 )
| ( qmltpeq @ SV39 @ SV19 @ SV66 ) )
= $true )
| ( ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(337,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV62: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV62 ) )
= $true )
| ( ( qmltpeq @ SV39 @ SV19 @ SV62 )
= $true )
| ( ( qmltpeq @ SV19 @ SV39 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $false )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(338,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV67: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV67 )
| ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV67 ) )
= $true )
| ( ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(339,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV63: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV63 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV63 )
= $true )
| ( ( qmltpeq @ SV21 @ SV40 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $false )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(340,plain,
! [SV8: mworld,SV32: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld,SV49: mworld] :
( ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
| ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(341,plain,
! [SV23: $i,SV42: $i,SV33: mworld,SV9: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
| ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) ) )
= $false )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[327]) ).
thf(342,plain,
! [SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK16_SY1510 @ SV57 ) )
| ( qmltpeq @ sK3_SX0 @ empty_set @ ( sK16_SY1510 @ SV57 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(343,plain,
! [SV58: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV58 ) )
= $true )
| ( ( ! [SY1525: mworld] :
( ~ ( mrel @ SV58 @ SY1525 )
| ~ ~ ( ~ ! [SY1526: mworld] :
( ~ ( mrel @ SY1525 @ SY1526 )
| ( in @ SV64 @ sK3_SX0 @ SY1526 ) )
| ~ ! [SY1527: mworld] :
( ~ ( mrel @ SY1525 @ SY1527 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1527 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) ) )
= $true )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(344,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV68: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV68 )
| ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV68 @ SY1531 )
| ( in @ SV43 @ SV24 @ SY1531 ) ) )
= $true )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(345,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV65: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV65 ) )
= $true )
| ( ( ~ ! [SY1529: mworld] :
( ~ ( mrel @ SV65 @ SY1529 )
| ( in @ SV43 @ SV24 @ SY1529 ) ) )
= $true )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(347,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ! [SY1530: mworld] :
( ~ ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1530 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1530 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(348,plain,
! [SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld] :
( ( ( ~ ~ ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(349,plain,
! [SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld] :
( ( ( ~ ~ ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(350,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV66: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV66 ) )
= $true )
| ( ( qmltpeq @ SV39 @ SV19 @ SV66 )
= $true )
| ( ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(351,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV62: mworld,SV47: mworld] :
( ( ( mrel @ SV47 @ SV62 )
= $false )
| ( ( qmltpeq @ SV39 @ SV19 @ SV62 )
= $true )
| ( ( qmltpeq @ SV19 @ SV39 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $false )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(352,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV67: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV67 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV67 )
= $true )
| ( ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(353,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV63: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ SV63 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV63 )
= $true )
| ( ( qmltpeq @ SV21 @ SV40 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $false )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(354,plain,
! [SV8: mworld,SV32: mworld,SV49: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld] :
( ( ( ~ ~ ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(355,plain,
! [SV23: $i,SV42: $i,SV33: mworld,SV9: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) ) )
= $false )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(356,plain,
! [SV50: mworld,SV33: mworld,SV9: mworld,SV42: $i,SV23: $i] :
( ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(357,plain,
! [SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK16_SY1510 @ SV57 ) ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(358,plain,
! [SV57: mworld] :
( ( ( qmltpeq @ sK3_SX0 @ empty_set @ ( sK16_SY1510 @ SV57 ) )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(359,plain,
! [SV58: mworld,SV64: $i] :
( ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( ! [SY1525: mworld] :
( ~ ( mrel @ SV58 @ SY1525 )
| ~ ~ ( ~ ! [SY1526: mworld] :
( ~ ( mrel @ SY1525 @ SY1526 )
| ( in @ SV64 @ sK3_SX0 @ SY1526 ) )
| ~ ! [SY1527: mworld] :
( ~ ( mrel @ SY1525 @ SY1527 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1527 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) ) )
= $true )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(360,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV68: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV68 ) )
= $true )
| ( ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV68 @ SY1531 )
| ( in @ SV43 @ SV24 @ SY1531 ) ) )
= $true )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(361,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV65: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( ~ ! [SY1529: mworld] :
( ~ ( mrel @ SV65 @ SY1529 )
| ( in @ SV43 @ SV24 @ SY1529 ) ) )
= $true )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(362,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(363,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ! [SY1530: mworld] :
( ~ ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1530 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SY1530 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(364,plain,
! [SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld] :
( ( ( ~ ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(365,plain,
! [SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld] :
( ( ( ~ ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(366,plain,
! [SV29: mworld,SV5: mworld,SV19: $i,SV39: $i,SV66: mworld,SV47: mworld] :
( ( ( mrel @ SV47 @ SV66 )
= $false )
| ( ( qmltpeq @ SV39 @ SV19 @ SV66 )
= $true )
| ( ( mrel @ SV47 @ ( sK10_SY1472 @ SV5 @ SV29 @ SV39 @ SV19 @ SV47 ) )
= $true )
| ( ( mrel @ SV29 @ SV47 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(367,plain,
! [SV31: mworld,SV7: mworld,SV40: $i,SV21: $i,SV67: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ SV67 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV21 ) @ ( singleton @ SV40 ) @ SV67 )
= $true )
| ( ( mrel @ SV48 @ ( sK11_SY1474 @ SV7 @ SV31 @ SV40 @ SV21 @ SV48 ) )
= $true )
| ( ( mrel @ SV31 @ SV48 )
= $false )
| ( ( eiw_di @ SV40 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(368,plain,
! [SV8: mworld,SV32: mworld,SV49: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld] :
( ( ( ~ ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(369,plain,
! [SV23: $i,SV42: $i,SV33: mworld,SV9: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(370,plain,
! [SV33: mworld,SV9: mworld,SV42: $i,SV23: $i,SV50: mworld] :
( ( ( ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $false )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(371,plain,
! [SV57: mworld] :
( ( ( mrel @ SV57 @ ( sK16_SY1510 @ SV57 ) )
= $true )
| ( ( mrel @ sK8_SY1346 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(372,plain,
! [SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV69 )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(373,plain,
! [SV34: mworld,SV10: mworld,SV24: $i,SV43: $i,SV68: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV68 @ SY1531 )
| ( in @ SV43 @ SV24 @ SY1531 ) ) )
= $true )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(374,plain,
! [SV34: mworld,SV10: mworld,SV51: mworld,SV24: $i,SV43: $i,SV65: mworld] :
( ( ( ! [SY1529: mworld] :
( ~ ( mrel @ SV65 @ SY1529 )
| ( in @ SV43 @ SV24 @ SY1529 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(375,plain,
! [SV35: mworld,SV11: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(376,plain,
! [SV70: mworld,SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
| ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(377,plain,
! [SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld] :
( ( ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) )
| ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(378,plain,
! [SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld] :
( ( ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) )
| ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(379,plain,
! [SV8: mworld,SV32: mworld,SV49: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld] :
( ( ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) )
| ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(380,plain,
! [SV42: $i,SV33: mworld,SV9: mworld,SV23: $i,SV50: mworld] :
( ( ( ! [SY1482: mworld] :
( ~ ( mrel @ SV50 @ SY1482 )
| ( empty @ SV23 @ SY1482 ) ) )
= $false )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(381,plain,
! [SV23: $i,SV42: $i,SV9: mworld,SV33: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
| ( empty @ SV23 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) ) )
= $false )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[370]) ).
thf(382,plain,
! [SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV69 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(383,plain,
! [SV34: mworld,SV10: mworld,SV51: mworld,SV24: $i,SV43: $i,SV68: mworld] :
( ( ( ! [SY1531: mworld] :
( ~ ( mrel @ SV68 @ SY1531 )
| ( in @ SV43 @ SV24 @ SY1531 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(384,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK18_SY1529 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV65 ) )
| ( in @ SV43 @ SV24 @ ( sK18_SY1529 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV65 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[374]) ).
thf(385,plain,
! [SV35: mworld,SV11: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(386,plain,
! [SV70: mworld,SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(387,plain,
! [SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld] :
( ( ( ~ ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) ) )
= $true )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(388,plain,
! [SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld] :
( ( ( ~ ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) ) )
= $true )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(389,plain,
! [SV8: mworld,SV32: mworld,SV49: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld] :
( ( ( ~ ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) ) )
= $true )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(390,plain,
! [SV23: $i,SV9: mworld,SV33: mworld,SV42: $i,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
| ( empty @ SV23 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) ) )
= $false )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(391,plain,
! [SV23: $i,SV42: $i,SV9: mworld,SV33: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) ) )
= $false )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(392,plain,
! [SV50: mworld,SV42: $i,SV9: mworld,SV33: mworld,SV23: $i] :
( ( ( empty @ SV23 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(393,plain,
! [SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(394,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK20_SY1531 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV68 ) )
| ( in @ SV43 @ SV24 @ ( sK20_SY1531 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV68 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[383]) ).
thf(395,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK18_SY1529 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV65 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(396,plain,
! [SV65: mworld,SV51: mworld,SV10: mworld,SV34: mworld,SV24: $i,SV43: $i] :
( ( ( in @ SV43 @ SV24 @ ( sK18_SY1529 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV65 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(397,plain,
! [SV35: mworld,SV11: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(398,plain,
! [SV70: mworld,SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( ~ ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(399,plain,
! [SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i,SV17: $i,SV59: mworld] :
( ( ( ! [SY1516: mworld] :
( ~ ( mrel @ SV59 @ SY1516 )
| ( qmltpeq @ SV17 @ SV37 @ SY1516 ) ) )
= $false )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(400,plain,
! [SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV38: $i,SV18: $i,SV60: mworld] :
( ( ( ! [SY1519: mworld] :
( ~ ( mrel @ SV60 @ SY1519 )
| ( qmltpeq @ SV18 @ SV38 @ SY1519 ) ) )
= $false )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(401,plain,
! [SV8: mworld,SV32: mworld,SV49: mworld,SV56: $i,SV41: $i,SV22: $i,SV61: mworld] :
( ( ( ! [SY1522: mworld] :
( ~ ( mrel @ SV61 @ SY1522 )
| ( qmltpeq @ SV22 @ SV41 @ SY1522 ) ) )
= $false )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(402,plain,
! [SV23: $i,SV9: mworld,SV33: mworld,SV42: $i,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) ) )
= $false )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(403,plain,
! [SV50: mworld,SV9: mworld,SV33: mworld,SV42: $i,SV23: $i] :
( ( ( empty @ SV23 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(404,plain,
! [SV23: $i,SV42: $i,SV9: mworld,SV33: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(405,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV71: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV71 )
| ( empty @ SV42 @ SV71 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( empty @ SV23 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(406,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(407,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK20_SY1531 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV68 ) ) )
= $false )
| ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(408,plain,
! [SV68: mworld,SV51: mworld,SV10: mworld,SV34: mworld,SV24: $i,SV43: $i] :
( ( ( in @ SV43 @ SV24 @ ( sK20_SY1531 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV68 ) )
= $false )
| ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(409,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ ( sK18_SY1529 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV65 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( in @ SV24 @ SV43 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $false )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(410,plain,
! [SV35: mworld,SV11: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(411,plain,
! [SV35: mworld,SV11: mworld,SV70: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(412,plain,
! [SV17: $i,SV37: $i,SV54: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
| ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) ) )
= $false )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[399]) ).
thf(413,plain,
! [SV18: $i,SV38: $i,SV55: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
| ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) ) )
= $false )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(414,plain,
! [SV22: $i,SV41: $i,SV56: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
| ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) ) )
= $false )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[401]) ).
thf(415,plain,
! [SV23: $i,SV9: mworld,SV33: mworld,SV42: $i,SV50: mworld] :
( ( ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( ! [SY1483: mworld] :
( ~ ( mrel @ SV50 @ SY1483 )
| ( empty @ SV42 @ SY1483 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(416,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV72: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV72 )
| ( empty @ SV42 @ SV72 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( empty @ SV23 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(417,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV73: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV73 )
| ( empty @ SV42 @ SV73 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(418,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV71: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV71 ) )
= $true )
| ( ( empty @ SV42 @ SV71 )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( empty @ SV23 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(419,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(420,plain,
! [SV43: $i,SV24: $i,SV51: mworld,SV10: mworld,SV34: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ ( sK20_SY1531 @ SV34 @ SV10 @ SV51 @ SV24 @ SV43 @ SV68 ) )
= $true )
| ( ( mrel @ SV51 @ SV68 )
= $false )
| ( ( mrel @ SV51 @ ( sK13_SY1484 @ SV10 @ SV34 @ SV43 @ SV24 @ SV51 ) )
= $true )
| ( ( mrel @ SV34 @ SV51 )
= $false )
| ( ( eiw_di @ SV43 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(421,plain,
! [SV25: $i,SV44: $i,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
| ~ ! [SY1535: mworld] :
( ~ ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SY1535 )
| ( qmltpeq @ SV25 @ empty_set @ SY1535 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[410]) ).
thf(422,plain,
! [SV35: mworld,SV11: mworld,SV70: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) )
| ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(423,plain,
! [SV17: $i,SV37: $i,SV54: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) ) )
= $false )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(424,plain,
! [SV59: mworld,SV54: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV17: $i] :
( ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(425,plain,
! [SV18: $i,SV38: $i,SV55: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) ) )
= $false )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(426,plain,
! [SV60: mworld,SV55: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV38: $i,SV18: $i] :
( ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(427,plain,
! [SV22: $i,SV41: $i,SV56: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) ) )
= $false )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(428,plain,
! [SV61: mworld,SV56: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV22: $i] :
( ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(429,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV74: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV74 )
| ( empty @ SV42 @ SV74 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(430,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV72: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV72 ) )
= $true )
| ( ( empty @ SV42 @ SV72 )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( empty @ SV23 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(431,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV73: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV73 ) )
= $true )
| ( ( empty @ SV42 @ SV73 )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(432,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV71: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV71 )
= $false )
| ( ( empty @ SV42 @ SV71 )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( empty @ SV23 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(433,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) ) )
= $true )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(434,plain,
! [SV25: $i,SV44: $i,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(435,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV11: mworld,SV35: mworld] :
( ( ( ~ ! [SY1535: mworld] :
( ~ ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SY1535 )
| ( qmltpeq @ SV25 @ empty_set @ SY1535 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(436,plain,
! [SV35: mworld,SV11: mworld,SV70: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(437,plain,
! [SV17: $i,SV37: $i,SV54: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ~ ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(438,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV17: $i,SV54: $i,SV37: $i,SV59: mworld] :
( ( ( ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(439,plain,
! [SV18: $i,SV38: $i,SV55: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ~ ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(440,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV38: $i,SV55: $i,SV18: $i,SV60: mworld] :
( ( ( ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $false )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(441,plain,
! [SV22: $i,SV41: $i,SV56: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ~ ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(442,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV22: $i,SV56: $i,SV61: mworld] :
( ( ( ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $false )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(443,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV74: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV74 ) )
= $true )
| ( ( empty @ SV42 @ SV74 )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(444,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV72: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV72 )
= $false )
| ( ( empty @ SV42 @ SV72 )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( empty @ SV23 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(445,plain,
! [SV33: mworld,SV9: mworld,SV23: $i,SV42: $i,SV73: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV73 )
= $false )
| ( ( empty @ SV42 @ SV73 )
= $true )
| ( ( qmltpeq @ SV23 @ SV42 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $false )
| ( ( mrel @ SV50 @ ( sK17_SY1482 @ SV33 @ SV9 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(446,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ! [SY1532: mworld] :
( ~ ( mrel @ SV69 @ SY1532 )
| ( in @ SV64 @ sK3_SX0 @ SY1532 ) ) )
= $false )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(447,plain,
! [SV25: $i,SV44: $i,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(448,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV11: mworld,SV35: mworld] :
( ( ( ! [SY1535: mworld] :
( ~ ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SY1535 )
| ( qmltpeq @ SV25 @ empty_set @ SY1535 ) ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(449,plain,
! [SV35: mworld,SV11: mworld,SV70: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1489: mworld] :
( ~ ( mrel @ SV52 @ SY1489 )
| ~ ! [SY1339: mworld] :
( ~ ( mrel @ SY1489 @ SY1339 )
| ( qmltpeq @ SV25 @ empty_set @ SY1339 ) ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(450,plain,
! [SV17: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV37: $i,SV59: mworld] :
( ( ( ! [SY1517: mworld] :
( ~ ( mrel @ SV59 @ SY1517 )
| ( qmltpeq @ SV37 @ SV54 @ SY1517 ) ) )
= $false )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(451,plain,
! [SV37: $i,SV54: $i,SV17: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
| ( qmltpeq @ SV37 @ SV54 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(452,plain,
! [SV38: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV18: $i,SV60: mworld] :
( ( ( ! [SY1520: mworld] :
( ~ ( mrel @ SV60 @ SY1520 )
| ( in @ SV18 @ SV55 @ SY1520 ) ) )
= $false )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(453,plain,
! [SV18: $i,SV55: $i,SV38: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
| ( in @ SV18 @ SV55 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) ) )
= $false )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(454,plain,
! [SV41: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV56: $i,SV61: mworld] :
( ( ( ! [SY1523: mworld] :
( ~ ( mrel @ SV61 @ SY1523 )
| ( in @ SV56 @ SV22 @ SY1523 ) ) )
= $false )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(455,plain,
! [SV56: $i,SV22: $i,SV41: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
| ( in @ SV56 @ SV22 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) ) )
= $false )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[442]) ).
thf(456,plain,
! [SV23: $i,SV33: mworld,SV9: mworld,SV42: $i,SV74: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV74 )
= $false )
| ( ( empty @ SV42 @ SV74 )
= $true )
| ( ( mrel @ SV50 @ ( sK15_SY1481 @ SV9 @ SV33 @ SV42 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY1482 @ SV42 @ SV33 @ SV9 @ SV23 @ SV50 ) )
= $true )
| ( ( mrel @ SV33 @ SV50 )
= $false )
| ( ( eiw_di @ SV42 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(457,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
| ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) ) )
= $false )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[446]) ).
thf(458,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(459,plain,
! [SV75: mworld,SV52: mworld,SV25: $i,SV44: $i,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
| ( qmltpeq @ SV25 @ empty_set @ SV75 ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(460,plain,
! [SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
| ~ ! [SY1536: mworld] :
( ~ ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SY1536 )
| ( qmltpeq @ SV25 @ empty_set @ SY1536 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(461,plain,
! [SV37: $i,SV54: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV17: $i,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
| ( qmltpeq @ SV37 @ SV54 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) ) )
= $false )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(462,plain,
! [SV37: $i,SV54: $i,SV17: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(463,plain,
! [SV59: mworld,SV17: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV54: $i,SV37: $i] :
( ( ( qmltpeq @ SV37 @ SV54 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(464,plain,
! [SV18: $i,SV55: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV38: $i,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
| ( in @ SV18 @ SV55 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) ) )
= $false )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(465,plain,
! [SV18: $i,SV55: $i,SV38: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) ) )
= $false )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(466,plain,
! [SV60: mworld,SV38: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV55: $i,SV18: $i] :
( ( ( in @ SV18 @ SV55 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(467,plain,
! [SV56: $i,SV22: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV41: $i,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
| ( in @ SV56 @ SV22 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) ) )
= $false )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[454]) ).
thf(468,plain,
! [SV56: $i,SV22: $i,SV41: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) ) )
= $false )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(469,plain,
! [SV61: mworld,SV41: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV22: $i,SV56: $i] :
( ( ( in @ SV56 @ SV22 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(470,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) ) )
= $false )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(471,plain,
! [SV69: mworld,SV58: mworld,SV64: $i] :
( ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(472,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1537: $i] :
( ~ ( eiw_di @ SY1537 @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1538: mworld] :
( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1538 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1538 @ SY1343 )
| ( in @ SY1537 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1538 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1537 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[458]) ).
thf(473,plain,
! [SV75: mworld,SV52: mworld,SV25: $i,SV44: $i,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(474,plain,
! [SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(475,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld] :
( ( ( ~ ! [SY1536: mworld] :
( ~ ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SY1536 )
| ( qmltpeq @ SV25 @ empty_set @ SY1536 ) ) )
= $false )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(476,plain,
! [SV37: $i,SV54: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV17: $i,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) ) )
= $false )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(477,plain,
! [SV59: mworld,SV2: mworld,SV26: mworld,SV45: mworld,SV17: $i,SV54: $i,SV37: $i] :
( ( ( qmltpeq @ SV37 @ SV54 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(478,plain,
! [SV37: $i,SV54: $i,SV17: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(479,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV76: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV76 )
| ( qmltpeq @ SV17 @ SV54 @ SV76 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV18: $i,SV55: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV38: $i,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) ) )
= $false )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(481,plain,
! [SV60: mworld,SV4: mworld,SV28: mworld,SV46: mworld,SV38: $i,SV55: $i,SV18: $i] :
( ( ( in @ SV18 @ SV55 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(482,plain,
! [SV18: $i,SV55: $i,SV38: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(483,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV77: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV77 )
| ( in @ SV38 @ SV55 @ SV77 ) )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( in @ SV18 @ SV55 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(484,plain,
! [SV56: $i,SV22: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV41: $i,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) ) )
= $false )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(485,plain,
! [SV61: mworld,SV8: mworld,SV32: mworld,SV49: mworld,SV41: $i,SV22: $i,SV56: $i] :
( ( ( in @ SV56 @ SV22 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(486,plain,
! [SV56: $i,SV22: $i,SV41: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(487,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV78: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV78 )
| ( in @ SV56 @ SV41 @ SV78 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( in @ SV56 @ SV22 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(488,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(489,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $false )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(490,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(491,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ! [SY1537: $i] :
( ~ ( eiw_di @ SY1537 @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1538: mworld] :
( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1538 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1538 @ SY1343 )
| ( in @ SY1537 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1538 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1537 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(492,plain,
! [SV75: mworld,SV52: mworld,SV25: $i,SV44: $i,SV11: mworld,SV35: mworld] :
( ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(493,plain,
! [SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(494,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld] :
( ( ( ! [SY1536: mworld] :
( ~ ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SY1536 )
| ( qmltpeq @ SV25 @ empty_set @ SY1536 ) ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(495,plain,
! [SV37: $i,SV54: $i,SV2: mworld,SV26: mworld,SV45: mworld,SV17: $i,SV59: mworld] :
( ( ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( ! [SY1518: mworld] :
( ~ ( mrel @ SV59 @ SY1518 )
| ( qmltpeq @ SV17 @ SV54 @ SY1518 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(496,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV79: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV79 )
| ( qmltpeq @ SV17 @ SV54 @ SV79 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(497,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV80: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV80 )
| ( qmltpeq @ SV17 @ SV54 @ SV80 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(498,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV76: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV76 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV54 @ SV76 )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(499,plain,
! [SV18: $i,SV55: $i,SV4: mworld,SV28: mworld,SV46: mworld,SV38: $i,SV60: mworld] :
( ( ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( ! [SY1521: mworld] :
( ~ ( mrel @ SV60 @ SY1521 )
| ( in @ SV38 @ SV55 @ SY1521 ) ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(500,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV81: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV81 )
| ( in @ SV38 @ SV55 @ SV81 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( in @ SV18 @ SV55 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(501,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV82: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV82 )
| ( in @ SV38 @ SV55 @ SV82 ) )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(502,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV77: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV77 ) )
= $true )
| ( ( in @ SV38 @ SV55 @ SV77 )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( in @ SV18 @ SV55 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(503,plain,
! [SV56: $i,SV22: $i,SV8: mworld,SV32: mworld,SV49: mworld,SV41: $i,SV61: mworld] :
( ( ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( ! [SY1524: mworld] :
( ~ ( mrel @ SV61 @ SY1524 )
| ( in @ SV56 @ SV41 @ SY1524 ) ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(504,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV83: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV83 )
| ( in @ SV56 @ SV41 @ SV83 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( in @ SV56 @ SV22 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(505,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV84: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV84 )
| ( in @ SV56 @ SV41 @ SV84 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(506,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV78: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV78 ) )
= $true )
| ( ( in @ SV56 @ SV41 @ SV78 )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( in @ SV56 @ SV22 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(507,plain,
! [SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ! [SY1533: mworld] :
( ~ ( mrel @ SV69 @ SY1533 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SY1533 @ SY1528 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1528 ) ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(508,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) )
| ~ ! [SY1542: mworld] :
( ~ ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1542 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1542 ) ) )
= $false )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[489]) ).
thf(509,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(510,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1543: mworld] :
( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1543 )
| ~ ~ ( ~ ! [SY1544: mworld] :
( ~ ( mrel @ SY1543 @ SY1544 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1544 ) )
| ~ ! [SY1545: mworld] :
( ~ ( mrel @ SY1543 @ SY1545 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1545 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(511,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(512,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(513,plain,
! [SV85: mworld,SV52: mworld,SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
| ( qmltpeq @ SV25 @ empty_set @ SV85 ) )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(514,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV86: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV86 )
| ( qmltpeq @ SV17 @ SV54 @ SV86 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(515,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV79: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV79 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV54 @ SV79 )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(516,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV80: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV80 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV54 @ SV80 )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(517,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV76: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ SV76 )
= $false )
| ( ( qmltpeq @ SV17 @ SV54 @ SV76 )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(518,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV87: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV87 )
| ( in @ SV38 @ SV55 @ SV87 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(519,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV81: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV81 ) )
= $true )
| ( ( in @ SV38 @ SV55 @ SV81 )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( in @ SV18 @ SV55 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(520,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV82: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV82 ) )
= $true )
| ( ( in @ SV38 @ SV55 @ SV82 )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(521,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV77: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV77 )
= $false )
| ( ( in @ SV38 @ SV55 @ SV77 )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( in @ SV18 @ SV55 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(522,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV88: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV88 )
| ( in @ SV56 @ SV41 @ SV88 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(523,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV83: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV83 ) )
= $true )
| ( ( in @ SV56 @ SV41 @ SV83 )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( in @ SV56 @ SV22 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(524,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV84: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV84 ) )
= $true )
| ( ( in @ SV56 @ SV41 @ SV84 )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(525,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV78: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV78 )
= $false )
| ( ( in @ SV56 @ SV41 @ SV78 )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( in @ SV56 @ SV22 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(526,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) )
| ~ ! [SY1547: mworld] :
( ~ ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1547 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1547 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(527,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) ) )
= $false )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(528,plain,
! [SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ! [SY1542: mworld] :
( ~ ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1542 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1542 ) ) )
= $false )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(529,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(530,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ! [SY1543: mworld] :
( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1543 )
| ~ ~ ( ~ ! [SY1544: mworld] :
( ~ ( mrel @ SY1543 @ SY1544 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1544 ) )
| ~ ! [SY1545: mworld] :
( ~ ( mrel @ SY1543 @ SY1545 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1545 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(531,plain,
! [SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1548: $i] :
( ~ ( eiw_di @ SY1548 @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1549: mworld] :
( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ SY1549 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1549 @ SY1343 )
| ( in @ SY1548 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1549 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1548 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[511]) ).
thf(532,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1553: $i] :
( ~ ( eiw_di @ SY1553 @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1554: mworld] :
( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1554 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1554 @ SY1343 )
| ( in @ SY1553 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1554 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1553 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[512]) ).
thf(533,plain,
! [SV85: mworld,SV52: mworld,SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(534,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV86: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV86 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV54 @ SV86 )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(535,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV79: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ SV79 )
= $false )
| ( ( qmltpeq @ SV17 @ SV54 @ SV79 )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( qmltpeq @ SV37 @ SV54 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $false )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(536,plain,
! [SV45: mworld,SV26: mworld,SV2: mworld,SV37: $i,SV54: $i,SV17: $i,SV80: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ SV80 )
= $false )
| ( ( qmltpeq @ SV17 @ SV54 @ SV80 )
= $true )
| ( ( qmltpeq @ SV17 @ SV37 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $false )
| ( ( mrel @ SV59 @ ( sK25_SY1517 @ SV45 @ SV26 @ SV2 @ SV17 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(537,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV87: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV87 ) )
= $true )
| ( ( in @ SV38 @ SV55 @ SV87 )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(538,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV81: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV81 )
= $false )
| ( ( in @ SV38 @ SV55 @ SV81 )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( in @ SV18 @ SV55 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(539,plain,
! [SV46: mworld,SV28: mworld,SV4: mworld,SV18: $i,SV55: $i,SV38: $i,SV82: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV82 )
= $false )
| ( ( in @ SV38 @ SV55 @ SV82 )
= $true )
| ( ( qmltpeq @ SV18 @ SV38 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $false )
| ( ( mrel @ SV60 @ ( sK26_SY1520 @ SV46 @ SV28 @ SV4 @ SV38 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(540,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV88: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV88 ) )
= $true )
| ( ( in @ SV56 @ SV41 @ SV88 )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(541,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV83: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV83 )
= $false )
| ( ( in @ SV56 @ SV41 @ SV83 )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( in @ SV56 @ SV22 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $false )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(542,plain,
! [SV49: mworld,SV32: mworld,SV8: mworld,SV22: $i,SV41: $i,SV56: $i,SV84: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV84 )
= $false )
| ( ( in @ SV56 @ SV41 @ SV84 )
= $true )
| ( ( qmltpeq @ SV22 @ SV41 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $false )
| ( ( mrel @ SV61 @ ( sK27_SY1523 @ SV49 @ SV32 @ SV8 @ SV41 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(543,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(544,plain,
! [SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ! [SY1547: mworld] :
( ~ ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1547 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1547 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(545,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(546,plain,
! [SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ! [SY1542: mworld] :
( ~ ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1542 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1542 ) ) )
= $true )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(547,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( eiw_di @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(548,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) )
| ~ ~ ( ~ ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) )
| ~ ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(549,plain,
! [SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(550,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld] :
( ( ( ! [SY1548: $i] :
( ~ ( eiw_di @ SY1548 @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1549: mworld] :
( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ SY1549 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1549 @ SY1343 )
| ( in @ SY1548 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1549 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1548 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(551,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(552,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ! [SY1553: $i] :
( ~ ( eiw_di @ SY1553 @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1554: mworld] :
( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1554 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1554 @ SY1343 )
| ( in @ SY1553 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1554 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1553 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(553,plain,
! [SV85: mworld,SV52: mworld,SV25: $i,SV44: $i,SV70: mworld,SV11: mworld,SV35: mworld] :
( ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( ~ ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(554,plain,
! [SV37: $i,SV45: mworld,SV26: mworld,SV2: mworld,SV54: $i,SV17: $i,SV86: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ SV86 )
= $false )
| ( ( qmltpeq @ SV17 @ SV54 @ SV86 )
= $true )
| ( ( mrel @ SV59 @ ( sK21_SY1516 @ SV2 @ SV26 @ SV45 @ SV54 @ SV37 @ SV17 @ SV59 ) )
= $true )
| ( ( mrel @ SV59 @ ( sK30_SY1517 @ SV17 @ SV45 @ SV26 @ SV2 @ SV54 @ SV37 @ SV59 ) )
= $true )
| ( ( mrel @ SV45 @ SV59 )
= $false )
| ( ( eiw_di @ SV54 @ SV45 )
= $false )
| ( ( mrel @ SV26 @ SV45 )
= $false )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV17 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(555,plain,
! [SV18: $i,SV46: mworld,SV28: mworld,SV4: mworld,SV55: $i,SV38: $i,SV87: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV87 )
= $false )
| ( ( in @ SV38 @ SV55 @ SV87 )
= $true )
| ( ( mrel @ SV60 @ ( sK22_SY1519 @ SV4 @ SV28 @ SV46 @ SV55 @ SV38 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV60 @ ( sK31_SY1520 @ SV38 @ SV46 @ SV28 @ SV4 @ SV55 @ SV18 @ SV60 ) )
= $true )
| ( ( mrel @ SV46 @ SV60 )
= $false )
| ( ( eiw_di @ SV55 @ SV46 )
= $false )
| ( ( mrel @ SV28 @ SV46 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(556,plain,
! [SV22: $i,SV49: mworld,SV32: mworld,SV8: mworld,SV41: $i,SV56: $i,SV88: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV88 )
= $false )
| ( ( in @ SV56 @ SV41 @ SV88 )
= $true )
| ( ( mrel @ SV61 @ ( sK23_SY1522 @ SV8 @ SV32 @ SV49 @ SV56 @ SV41 @ SV22 @ SV61 ) )
= $true )
| ( ( mrel @ SV61 @ ( sK32_SY1523 @ SV41 @ SV49 @ SV32 @ SV8 @ SV22 @ SV56 @ SV61 ) )
= $true )
| ( ( mrel @ SV49 @ SV61 )
= $false )
| ( ( eiw_di @ SV56 @ SV49 )
= $false )
| ( ( mrel @ SV32 @ SV49 )
= $false )
| ( ( eiw_di @ SV41 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(557,plain,
! [SV64: $i,SV58: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(558,plain,
! [SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ! [SY1547: mworld] :
( ~ ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SY1547 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SY1547 ) ) )
= $true )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(559,plain,
! [SV89: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV89 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SV89 ) )
= $true )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(560,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(561,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ~ ( ~ ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) )
| ~ ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(562,plain,
! [SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(563,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1561: mworld] :
( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ SY1561 )
| ~ ~ ( ~ ! [SY1562: mworld] :
( ~ ( mrel @ SY1561 @ SY1562 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1562 ) )
| ~ ! [SY1563: mworld] :
( ~ ( mrel @ SY1561 @ SY1563 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1563 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(564,plain,
! [SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(565,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1565: mworld] :
( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1565 )
| ~ ~ ( ~ ! [SY1566: mworld] :
( ~ ( mrel @ SY1565 @ SY1566 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1566 ) )
| ~ ! [SY1567: mworld] :
( ~ ( mrel @ SY1565 @ SY1567 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1567 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[552]) ).
thf(566,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1491: mworld] :
( ~ ( mrel @ SV52 @ SY1491 )
| ! [SY1457: $i] :
( ~ ( eiw_di @ SY1457 @ SY1491 )
| ! [SY1458: mworld] :
( ~ ( mrel @ SY1491 @ SY1458 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1458 @ SY1343 )
| ( in @ SY1457 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1458 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1457 @ SV44 @ SY1461 ) ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(567,plain,
! [SV90: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV90 )
| ( qmltpeq @ SV64 @ sK7_SY1315 @ SV90 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(568,plain,
! [SV89: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV89 ) )
= $true )
| ( ( qmltpeq @ SV64 @ sK7_SY1315 @ SV89 )
= $true )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(569,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld] :
( ( ( mrel @ ( sK33_SY1491 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(570,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) )
| ~ ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(571,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(572,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld] :
( ( ( ! [SY1561: mworld] :
( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ SY1561 )
| ~ ~ ( ~ ! [SY1562: mworld] :
( ~ ( mrel @ SY1561 @ SY1562 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1562 ) )
| ~ ! [SY1563: mworld] :
( ~ ( mrel @ SY1561 @ SY1563 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1563 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(573,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(574,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ! [SY1565: mworld] :
( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SY1565 )
| ~ ~ ( ~ ! [SY1566: mworld] :
( ~ ( mrel @ SY1565 @ SY1566 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1566 ) )
| ~ ! [SY1567: mworld] :
( ~ ( mrel @ SY1565 @ SY1567 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1567 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(575,plain,
! [SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1569: $i] :
( ~ ( eiw_di @ SY1569 @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1570: mworld] :
( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ SY1570 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1570 @ SY1343 )
| ( in @ SY1569 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1570 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1569 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[566]) ).
thf(576,plain,
! [SV90: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( ~ ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV90 ) )
= $true )
| ( ( qmltpeq @ SV64 @ sK7_SY1315 @ SV90 )
= $true )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(577,plain,
! [SV89: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( mrel @ ( sK34_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV89 )
= $false )
| ( ( qmltpeq @ SV64 @ sK7_SY1315 @ SV89 )
= $true )
| ( ( in @ SV64 @ sK3_SX0 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(578,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) )
| ~ ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(579,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( eiw_di @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(580,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) )
| ~ ~ ( ~ ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) )
| ~ ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[572]) ).
thf(581,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( eiw_di @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(582,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) )
| ~ ~ ( ~ ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) )
| ~ ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(583,plain,
! [SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(584,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ! [SY1569: $i] :
( ~ ( eiw_di @ SY1569 @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1570: mworld] :
( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ SY1570 )
| ~ ~ ( ~ ! [SY1343: mworld] :
( ~ ( mrel @ SY1570 @ SY1343 )
| ( in @ SY1569 @ SV25 @ SY1343 ) )
| ~ ! [SY1460: mworld] :
( ~ ( mrel @ SY1570 @ SY1460 )
| ~ ! [SY1461: mworld] :
( ~ ( mrel @ SY1460 @ SY1461 )
| ( qmltpeq @ SY1569 @ SV44 @ SY1461 ) ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(585,plain,
! [SV90: mworld,SV69: mworld,SV64: $i,SV58: mworld] :
( ( ( mrel @ ( sK36_SY1533 @ SV58 @ SV64 @ SV69 ) @ SV90 )
= $false )
| ( ( qmltpeq @ SV64 @ sK7_SY1315 @ SV90 )
= $true )
| ( ( mrel @ SV69 @ ( sK28_SY1532 @ SV58 @ SV64 @ SV69 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ sK8_SY1346 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(586,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(587,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(588,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(589,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ~ ( ~ ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) )
| ~ ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(590,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(591,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ~ ( ~ ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) )
| ~ ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(592,plain,
! [SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(593,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
| ! [SY1580: mworld] :
( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ SY1580 )
| ~ ~ ( ~ ! [SY1581: mworld] :
( ~ ( mrel @ SY1580 @ SY1581 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1581 ) )
| ~ ! [SY1582: mworld] :
( ~ ( mrel @ SY1580 @ SY1582 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1582 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[584]) ).
thf(594,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1558: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1558 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SY1558 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(595,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1559: mworld] :
( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SY1559 )
| ~ ! [SY1546: mworld] :
( ~ ( mrel @ SY1559 @ SY1546 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1546 ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(596,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld] :
( ( ( mrel @ ( sK37_SY1491 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 ) @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(597,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) )
| ~ ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(598,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( mrel @ ( sK38_SY1491 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(599,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) )
| ~ ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(600,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( eiw_di @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(601,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ! [SY1580: mworld] :
( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ SY1580 )
| ~ ~ ( ~ ! [SY1581: mworld] :
( ~ ( mrel @ SY1580 @ SY1581 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1581 ) )
| ~ ! [SY1582: mworld] :
( ~ ( mrel @ SY1580 @ SY1582 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1582 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(602,plain,
! [SV91: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV91 )
| ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SV91 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(603,plain,
! [SV92: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
| ~ ! [SY1584: mworld] :
( ~ ( mrel @ SV92 @ SY1584 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1584 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(604,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) )
| ~ ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(605,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) )
| ~ ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(606,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( eiw_di @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(607,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) )
| ~ ~ ( ~ ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) )
| ~ ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[601]) ).
thf(608,plain,
! [SV91: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV91 ) )
= $true )
| ( ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SV91 )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(609,plain,
! [SV92: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 ) )
= $true )
| ( ( ~ ! [SY1584: mworld] :
( ~ ( mrel @ SV92 @ SY1584 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1584 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(610,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(611,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(612,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(613,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(614,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(615,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ~ ( ~ ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) )
| ~ ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(616,plain,
! [SV91: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV91 )
= $false )
| ( ( in @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV25 @ SV91 )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(617,plain,
! [SV92: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( ~ ! [SY1584: mworld] :
( ~ ( mrel @ SV92 @ SY1584 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1584 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(618,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1574: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1574 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SY1574 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(619,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1575: mworld] :
( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SY1575 )
| ~ ! [SY1564: mworld] :
( ~ ( mrel @ SY1575 @ SY1564 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1564 ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(620,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1577: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1577 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1577 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(621,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1578: mworld] :
( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SY1578 )
| ~ ! [SY1568: mworld] :
( ~ ( mrel @ SY1578 @ SY1568 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1568 ) ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(622,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld] :
( ( ( mrel @ ( sK42_SY1491 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 ) @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(623,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( ~ ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) )
| ~ ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(624,plain,
! [SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld,SV92: mworld] :
( ( ( ! [SY1584: mworld] :
( ~ ( mrel @ SV92 @ SY1584 )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ SY1584 ) ) )
= $false )
| ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(625,plain,
! [SV93: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV93 )
| ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SV93 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(626,plain,
! [SV94: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
| ~ ! [SY1588: mworld] :
( ~ ( mrel @ SV94 @ SY1588 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1588 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(627,plain,
! [SV95: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV95 )
| ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV95 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(628,plain,
! [SV96: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
| ~ ! [SY1589: mworld] :
( ~ ( mrel @ SV96 @ SY1589 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1589 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(629,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) )
| ~ ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(630,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV92: mworld] :
( ( ( ~ ( mrel @ SV92 @ ( sK47_SY1584 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV92 ) )
| ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ ( sK47_SY1584 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV92 ) ) )
= $false )
| ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[624]) ).
thf(631,plain,
! [SV93: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV93 ) )
= $true )
| ( ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SV93 )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(632,plain,
! [SV94: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 ) )
= $true )
| ( ( ~ ! [SY1588: mworld] :
( ~ ( mrel @ SV94 @ SY1588 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1588 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(633,plain,
! [SV95: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV95 ) )
= $true )
| ( ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV95 )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(634,plain,
! [SV96: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 ) )
= $true )
| ( ( ~ ! [SY1589: mworld] :
( ~ ( mrel @ SV96 @ SY1589 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1589 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(635,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(636,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(637,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV92: mworld] :
( ( ( ~ ( mrel @ SV92 @ ( sK47_SY1584 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV92 ) ) )
= $false )
| ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(638,plain,
! [SV92: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( qmltpeq @ ( sK35_SY1537 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV44 @ ( sK47_SY1584 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV92 ) )
= $false )
| ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(639,plain,
! [SV93: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV93 )
= $false )
| ( ( in @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV25 @ SV93 )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(640,plain,
! [SV94: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( ~ ! [SY1588: mworld] :
( ~ ( mrel @ SV94 @ SY1588 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1588 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(641,plain,
! [SV95: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV95 )
= $false )
| ( ( in @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV95 )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(642,plain,
! [SV96: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( ~ ! [SY1589: mworld] :
( ~ ( mrel @ SV96 @ SY1589 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1589 ) ) )
= $true )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(643,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1585: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1585 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SY1585 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(644,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ! [SY1586: mworld] :
( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SY1586 )
| ~ ! [SY1583: mworld] :
( ~ ( mrel @ SY1586 @ SY1583 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1583 ) ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(645,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV92: mworld] :
( ( ( mrel @ SV92 @ ( sK47_SY1584 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV92 ) )
= $true )
| ( ( mrel @ ( sK39_SY1543 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 ) @ SV92 )
= $false )
| ( ( mrel @ SV52 @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(646,plain,
! [SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld,SV94: mworld] :
( ( ( ! [SY1588: mworld] :
( ~ ( mrel @ SV94 @ SY1588 )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ SY1588 ) ) )
= $false )
| ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(647,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld,SV96: mworld] :
( ( ( ! [SY1589: mworld] :
( ~ ( mrel @ SV96 @ SY1589 )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1589 ) ) )
= $false )
| ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(648,plain,
! [SV97: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV97 )
| ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV97 ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(649,plain,
! [SV98: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
| ~ ! [SY1590: mworld] :
( ~ ( mrel @ SV98 @ SY1590 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1590 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(650,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK48_SY1588 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 @ SV94 ) )
| ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ ( sK48_SY1588 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 @ SV94 ) ) )
= $false )
| ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[646]) ).
thf(651,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK49_SY1589 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV96 ) )
| ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ ( sK49_SY1589 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV96 ) ) )
= $false )
| ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[647]) ).
thf(652,plain,
! [SV97: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV97 ) )
= $true )
| ( ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV97 )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(653,plain,
! [SV98: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( ~ ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 ) )
= $true )
| ( ( ~ ! [SY1590: mworld] :
( ~ ( mrel @ SV98 @ SY1590 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1590 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(654,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK48_SY1588 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 @ SV94 ) ) )
= $false )
| ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(655,plain,
! [SV94: mworld,SV11: mworld,SV35: mworld,SV75: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( qmltpeq @ ( sK40_SY1548 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV44 @ ( sK48_SY1588 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 @ SV94 ) )
= $false )
| ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(656,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK49_SY1589 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV96 ) ) )
= $false )
| ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(657,plain,
! [SV96: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( qmltpeq @ ( sK41_SY1553 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV44 @ ( sK49_SY1589 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV96 ) )
= $false )
| ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(658,plain,
! [SV97: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV97 )
= $false )
| ( ( in @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV25 @ SV97 )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(659,plain,
! [SV98: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( ~ ! [SY1590: mworld] :
( ~ ( mrel @ SV98 @ SY1590 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1590 ) ) )
= $true )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(660,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV75: mworld,SV35: mworld,SV11: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK48_SY1588 @ SV11 @ SV35 @ SV75 @ SV44 @ SV25 @ SV52 @ SV94 ) )
= $true )
| ( ( mrel @ ( sK43_SY1561 @ SV52 @ SV25 @ SV44 @ SV75 @ SV35 @ SV11 ) @ SV94 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV75 )
= $true )
| ( ( mrel @ ( sK24_SY1489 @ SV35 @ SV11 @ SV44 @ SV25 @ SV52 ) @ SV75 )
= $false )
| ( ( mrel @ SV52 @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(661,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV35: mworld,SV11: mworld,SV70: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK49_SY1589 @ SV70 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 @ SV96 ) )
= $true )
| ( ( mrel @ ( sK44_SY1565 @ SV52 @ SV25 @ SV44 @ SV35 @ SV11 @ SV70 ) @ SV96 )
= $false )
| ( ( mrel @ SV52 @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(662,plain,
! [SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld,SV98: mworld] :
( ( ( ! [SY1590: mworld] :
( ~ ( mrel @ SV98 @ SY1590 )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ SY1590 ) ) )
= $false )
| ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(663,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK50_SY1590 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 @ SV98 ) )
| ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ ( sK50_SY1590 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 @ SV98 ) ) )
= $false )
| ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[662]) ).
thf(664,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK50_SY1590 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 @ SV98 ) ) )
= $false )
| ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(665,plain,
! [SV98: mworld,SV70: mworld,SV11: mworld,SV35: mworld,SV85: mworld,SV44: $i,SV25: $i,SV52: mworld] :
( ( ( qmltpeq @ ( sK45_SY1569 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV44 @ ( sK50_SY1590 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 @ SV98 ) )
= $false )
| ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(666,plain,
! [SV52: mworld,SV25: $i,SV44: $i,SV85: mworld,SV35: mworld,SV11: mworld,SV70: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK50_SY1590 @ SV70 @ SV11 @ SV35 @ SV85 @ SV44 @ SV25 @ SV52 @ SV98 ) )
= $true )
| ( ( mrel @ ( sK46_SY1580 @ SV52 @ SV25 @ SV44 @ SV85 @ SV35 @ SV11 @ SV70 ) @ SV98 )
= $false )
| ( ( qmltpeq @ SV25 @ empty_set @ SV85 )
= $true )
| ( ( mrel @ ( sK29_SY1489 @ SV35 @ SV11 @ SV70 @ SV44 @ SV25 @ SV52 ) @ SV85 )
= $false )
| ( ( qmltpeq @ SV25 @ ( singleton @ SV44 ) @ SV70 )
= $true )
| ( ( mrel @ ( sK14_SY1487 @ SV11 @ SV35 @ SV44 @ SV25 @ SV52 ) @ SV70 )
= $false )
| ( ( mrel @ SV35 @ SV52 )
= $false )
| ( ( eiw_di @ SV44 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(667,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[53,666,665,661,660,658,657,655,645,641,639,638,622,616,606,598,596,592,585,581,579,577,569,564,562,557,556,555,554,547,545,542,541,539,538,536,535,525,521,517,509,456,445,444,432,420,409,408,396,371,367,366,358,353,351,328,314,241,230,214,206,205,197,187,163,158,150,127,120,115,86]) ).
thf(668,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[667]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n007.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Oct 6 12:35:45 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.50/1.62
% 8.50/1.62 No.of.Axioms: 15
% 8.50/1.62
% 8.50/1.62 Length.of.Defs: 1653
% 8.50/1.62
% 8.50/1.62 Contains.Choice.Funs: false
% 8.50/1.62 ..................................................
% 8.50/1.62
% 8.50/1.62 ********************************
% 8.50/1.62 * All subproblems solved! *
% 8.50/1.62 ********************************
% 8.50/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:667,loop_count:0,foatp_calls:1,translation:fof_full)
% 8.50/1.62
% 8.50/1.62 %**** Beginning of derivation protocol ****
% 8.50/1.62 % SZS output start CNFRefutation
% See solution above
% 8.50/1.62
% 8.50/1.62 %**** End of derivation protocol ****
% 8.50/1.62 %**** no. of clauses in derivation: 668 ****
% 8.50/1.62 %**** clause counter: 667 ****
% 8.50/1.62
% 8.50/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:667,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------