%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL952^12 : 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 : n009.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 2.70s 0.69s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 23
% Syntax : Number of formulae : 504 ( 111 unt; 0 typ; 10 def)
% Number of atoms : 10008 (2646 equ; 0 cnn)
% Maximal formula atoms : 16 ( 19 avg)
% Number of connectives : 23858 (2759 ~;3902 |; 44 &;17020 @)
% ( 1 <=>; 132 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 37 usr; 9 con; 0-7 aty)
% Number of variables : 3150 ( 55 ^;3093 !; 2 ?;3150 :)
% 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_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_SY368,type,
sK10_SY368: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK11_SY367,type,
sK11_SY367: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK12_SY488,type,
sK12_SY488: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK13_SY487,type,
sK13_SY487: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK14_SY566,type,
sK14_SY566: mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK15_SY656,type,
sK15_SY656: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK16_SY754,type,
sK16_SY754: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK17_SY844,type,
sK17_SY844: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK18_SY869,type,
sK18_SY869: mworld > $i > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK19_SY948,type,
sK19_SY948: mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK1_SY52,type,
sK1_SY52: mworld ).
thf(tp_sK2_SY995,type,
sK2_SY995: $i ).
thf(tp_sK3_SY1001,type,
sK3_SY1001: mworld ).
thf(tp_sK4_SY1006,type,
sK4_SY1006: $i ).
thf(tp_sK5_SY1010,type,
sK5_SY1010: mworld ).
thf(tp_sK6_SY1014,type,
sK6_SY1014: mworld ).
thf(tp_sK7_SY103,type,
sK7_SY103: mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK8_SY181,type,
sK8_SY181: mworld > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK9_SY179,type,
sK9_SY179: mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_set_intersection2,type,
set_intersection2: $i > $i > $i ).
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 @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ ( singleton @ B ) ) @ ( singleton @ B ) ) ) @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l30_zfmisc_1) ).
thf(4,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(5,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ A ) @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(6,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ B ) @ ( set_intersection2 @ B @ A ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
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 @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_substitution_2) ).
thf(8,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_substitution_1) ).
thf(10,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(11,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ C @ A ) @ ( set_intersection2 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_intersection2_substitution_2) ).
thf(12,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_intersection2_substitution_1) ).
thf(13,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(14,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(15,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(18,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ ( singleton @ B ) ) @ ( singleton @ B ) ) ) @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_zfmisc_1) ).
thf(19,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ ( singleton @ B ) ) @ ( singleton @ B ) ) ) @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,plain,
( ( ! [SY52: mworld] :
( ( mrel @ mactual @ SY52 )
=> ! [SY46: $i] :
( ( eiw_di @ SY46 @ SY52 )
=> ! [SY47: mworld] :
( ( mrel @ SY52 @ SY47 )
=> ! [SY35: $i] :
( ( eiw_di @ SY35 @ SY47 )
=> ! [SY36: mworld] :
( ( mrel @ SY47 @ SY36 )
=> ( ! [SY37: mworld] :
( ( mrel @ SY36 @ SY37 )
=> ( qmltpeq @ ( set_intersection2 @ SY46 @ ( singleton @ SY35 ) ) @ ( singleton @ SY35 ) @ SY37 ) )
=> ! [SY38: mworld] :
( ( mrel @ SY36 @ SY38 )
=> ( in @ SY35 @ SY46 @ SY38 ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[19,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(21,plain,
( ( ! [SY118: mworld] :
( ( mrel @ mactual @ SY118 )
=> ! [SY112: $i] :
( ( eiw_di @ SY112 @ SY118 )
=> ! [SY113: mworld] :
( ( mrel @ SY118 @ SY113 )
=> ! [SY101: $i] :
( ( eiw_di @ SY101 @ SY113 )
=> ! [SY102: mworld] :
( ( mrel @ SY113 @ SY102 )
=> ( ! [SY103: mworld] :
( ( mrel @ SY102 @ SY103 )
=> ( qmltpeq @ ( set_intersection2 @ SY112 @ ( singleton @ SY101 ) ) @ ( singleton @ SY101 ) @ SY103 ) )
=> ! [SY104: mworld] :
( ( mrel @ SY102 @ SY104 )
=> ( in @ SY101 @ SY112 @ SY104 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(22,plain,
( ( ! [SY197: mworld] :
( ( mrel @ mactual @ SY197 )
=> ! [SY190: $i] :
( ( eiw_di @ SY190 @ SY197 )
=> ! [SY191: mworld] :
( ( mrel @ SY197 @ SY191 )
=> ! [SY177: $i] :
( ( eiw_di @ SY177 @ SY191 )
=> ! [SY178: mworld] :
( ( mrel @ SY191 @ SY178 )
=> ( ! [SY179: mworld] :
( ( mrel @ SY178 @ SY179 )
=> ( in @ SY190 @ SY177 @ SY179 ) )
=> ! [SY180: mworld] :
( ( mrel @ SY178 @ SY180 )
=> ~ ! [SY181: mworld] :
( ( mrel @ SY180 @ SY181 )
=> ( in @ SY177 @ SY190 @ SY181 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(23,plain,
( ( ! [SY241: mworld] :
( ( mrel @ mactual @ SY241 )
=> ! [SY237: $i] :
( ( eiw_di @ SY237 @ SY241 )
=> ! [SY238: mworld] :
( ( mrel @ SY241 @ SY238 )
=> ! [SY230: $i] :
( ( eiw_di @ SY230 @ SY238 )
=> ! [SY231: mworld] :
( ( mrel @ SY238 @ SY231 )
=> ( qmltpeq @ ( set_intersection2 @ SY237 @ SY237 ) @ SY237 @ SY231 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(24,plain,
( ( ! [SY279: mworld] :
( ( mrel @ mactual @ SY279 )
=> ! [SY275: $i] :
( ( eiw_di @ SY275 @ SY279 )
=> ! [SY276: mworld] :
( ( mrel @ SY279 @ SY276 )
=> ! [SY268: $i] :
( ( eiw_di @ SY268 @ SY276 )
=> ! [SY269: mworld] :
( ( mrel @ SY276 @ SY269 )
=> ( qmltpeq @ ( set_intersection2 @ SY275 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY275 ) @ SY269 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(25,plain,
( ( ! [SY389: mworld] :
( ( mrel @ mactual @ SY389 )
=> ! [SY380: $i] :
( ( eiw_di @ SY380 @ SY389 )
=> ! [SY381: mworld] :
( ( mrel @ SY389 @ SY381 )
=> ! [SY363: $i] :
( ( eiw_di @ SY363 @ SY381 )
=> ! [SY364: mworld] :
( ( mrel @ SY381 @ SY364 )
=> ! [SY365: $i] :
( ( eiw_di @ SY365 @ SY364 )
=> ! [SY366: mworld] :
( ( mrel @ SY364 @ SY366 )
=> ( ( ! [SY367: mworld] :
( ( mrel @ SY366 @ SY367 )
=> ( qmltpeq @ SY380 @ SY363 @ SY367 ) )
& ! [SY368: mworld] :
( ( mrel @ SY366 @ SY368 )
=> ( in @ SY365 @ SY380 @ SY368 ) ) )
=> ! [SY343: mworld] :
( ( mrel @ SY366 @ SY343 )
=> ( in @ SY365 @ SY363 @ SY343 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(26,plain,
( ( ! [SY509: mworld] :
( ( mrel @ mactual @ SY509 )
=> ! [SY500: $i] :
( ( eiw_di @ SY500 @ SY509 )
=> ! [SY501: mworld] :
( ( mrel @ SY509 @ SY501 )
=> ! [SY483: $i] :
( ( eiw_di @ SY483 @ SY501 )
=> ! [SY484: mworld] :
( ( mrel @ SY501 @ SY484 )
=> ! [SY485: $i] :
( ( eiw_di @ SY485 @ SY484 )
=> ! [SY486: mworld] :
( ( mrel @ SY484 @ SY486 )
=> ( ( ! [SY487: mworld] :
( ( mrel @ SY486 @ SY487 )
=> ( qmltpeq @ SY500 @ SY483 @ SY487 ) )
& ! [SY488: mworld] :
( ( mrel @ SY486 @ SY488 )
=> ( in @ SY500 @ SY485 @ SY488 ) ) )
=> ! [SY463: mworld] :
( ( mrel @ SY486 @ SY463 )
=> ( in @ SY483 @ SY485 @ SY463 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(27,plain,
( ( ! [SY581: mworld] :
( ( mrel @ mactual @ SY581 )
=> ! [SY575: $i] :
( ( eiw_di @ SY575 @ SY581 )
=> ! [SY576: mworld] :
( ( mrel @ SY581 @ SY576 )
=> ! [SY564: $i] :
( ( eiw_di @ SY564 @ SY576 )
=> ! [SY565: mworld] :
( ( mrel @ SY576 @ SY565 )
=> ( ! [SY566: mworld] :
( ( mrel @ SY565 @ SY566 )
=> ( qmltpeq @ SY575 @ SY564 @ SY566 ) )
=> ! [SY567: mworld] :
( ( mrel @ SY565 @ SY567 )
=> ( qmltpeq @ ( singleton @ SY575 ) @ ( singleton @ SY564 ) @ SY567 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(28,plain,
( ( ! [SY675: mworld] :
( ( mrel @ mactual @ SY675 )
=> ! [SY667: $i] :
( ( eiw_di @ SY667 @ SY675 )
=> ! [SY668: mworld] :
( ( mrel @ SY675 @ SY668 )
=> ! [SY652: $i] :
( ( eiw_di @ SY652 @ SY668 )
=> ! [SY653: mworld] :
( ( mrel @ SY668 @ SY653 )
=> ! [SY654: $i] :
( ( eiw_di @ SY654 @ SY653 )
=> ! [SY655: mworld] :
( ( mrel @ SY653 @ SY655 )
=> ( ! [SY656: mworld] :
( ( mrel @ SY655 @ SY656 )
=> ( qmltpeq @ SY667 @ SY652 @ SY656 ) )
=> ! [SY657: mworld] :
( ( mrel @ SY655 @ SY657 )
=> ( qmltpeq @ ( set_intersection2 @ SY654 @ SY667 ) @ ( set_intersection2 @ SY654 @ SY652 ) @ SY657 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(29,plain,
( ( ! [SY773: mworld] :
( ( mrel @ mactual @ SY773 )
=> ! [SY765: $i] :
( ( eiw_di @ SY765 @ SY773 )
=> ! [SY766: mworld] :
( ( mrel @ SY773 @ SY766 )
=> ! [SY750: $i] :
( ( eiw_di @ SY750 @ SY766 )
=> ! [SY751: mworld] :
( ( mrel @ SY766 @ SY751 )
=> ! [SY752: $i] :
( ( eiw_di @ SY752 @ SY751 )
=> ! [SY753: mworld] :
( ( mrel @ SY751 @ SY753 )
=> ( ! [SY754: mworld] :
( ( mrel @ SY753 @ SY754 )
=> ( qmltpeq @ SY765 @ SY750 @ SY754 ) )
=> ! [SY755: mworld] :
( ( mrel @ SY753 @ SY755 )
=> ( qmltpeq @ ( set_intersection2 @ SY765 @ SY752 ) @ ( set_intersection2 @ SY750 @ SY752 ) @ SY755 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(30,plain,
( ( ! [SY891: mworld] :
( ( mrel @ mactual @ SY891 )
=> ! [SY882: $i] :
( ( eiw_di @ SY882 @ SY891 )
=> ! [SY883: mworld] :
( ( mrel @ SY891 @ SY883 )
=> ! [SY865: $i] :
( ( eiw_di @ SY865 @ SY883 )
=> ! [SY866: mworld] :
( ( mrel @ SY883 @ SY866 )
=> ! [SY867: $i] :
( ( eiw_di @ SY867 @ SY866 )
=> ! [SY868: mworld] :
( ( mrel @ SY866 @ SY868 )
=> ( ( ! [SY869: mworld] :
( ( mrel @ SY868 @ SY869 )
=> ( qmltpeq @ SY882 @ SY865 @ SY869 ) )
& ! [SY844: mworld] :
( ( mrel @ SY868 @ SY844 )
=> ( qmltpeq @ SY865 @ SY867 @ SY844 ) ) )
=> ! [SY871: mworld] :
( ( mrel @ SY868 @ SY871 )
=> ( qmltpeq @ SY882 @ SY867 @ SY871 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(31,plain,
( ( ! [SY963: mworld] :
( ( mrel @ mactual @ SY963 )
=> ! [SY957: $i] :
( ( eiw_di @ SY957 @ SY963 )
=> ! [SY958: mworld] :
( ( mrel @ SY963 @ SY958 )
=> ! [SY946: $i] :
( ( eiw_di @ SY946 @ SY958 )
=> ! [SY947: mworld] :
( ( mrel @ SY958 @ SY947 )
=> ( ! [SY948: mworld] :
( ( mrel @ SY947 @ SY948 )
=> ( qmltpeq @ SY957 @ SY946 @ SY948 ) )
=> ! [SY949: mworld] :
( ( mrel @ SY947 @ SY949 )
=> ( qmltpeq @ SY946 @ SY957 @ SY949 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(32,plain,
( ( ! [SY989: mworld] :
( ( mrel @ mactual @ SY989 )
=> ! [SY987: $i] :
( ( eiw_di @ SY987 @ SY989 )
=> ! [SY988: mworld] :
( ( mrel @ SY989 @ SY988 )
=> ( qmltpeq @ SY987 @ SY987 @ SY988 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(33,plain,
( ( ( mrel @ mactual @ sK1_SY52 )
=> ! [SY995: $i] :
( ( eiw_di @ SY995 @ sK1_SY52 )
=> ! [SY996: mworld] :
( ( mrel @ sK1_SY52 @ SY996 )
=> ! [SY35: $i] :
( ( eiw_di @ SY35 @ SY996 )
=> ! [SY36: mworld] :
( ( mrel @ SY996 @ SY36 )
=> ( ! [SY37: mworld] :
( ( mrel @ SY36 @ SY37 )
=> ( qmltpeq @ ( set_intersection2 @ SY995 @ ( singleton @ SY35 ) ) @ ( singleton @ SY35 ) @ SY37 ) )
=> ! [SY38: mworld] :
( ( mrel @ SY36 @ SY38 )
=> ( in @ SY35 @ SY995 @ SY38 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(34,plain,
( ( mrel @ mactual @ sK1_SY52 )
= $true ),
inference(standard_cnf,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [SY995: $i] :
( ( eiw_di @ SY995 @ sK1_SY52 )
=> ! [SY996: mworld] :
( ( mrel @ sK1_SY52 @ SY996 )
=> ! [SY35: $i] :
( ( eiw_di @ SY35 @ SY996 )
=> ! [SY36: mworld] :
( ( mrel @ SY996 @ SY36 )
=> ( ! [SY37: mworld] :
( ( mrel @ SY36 @ SY37 )
=> ( qmltpeq @ ( set_intersection2 @ SY995 @ ( singleton @ SY35 ) ) @ ( singleton @ SY35 ) @ SY37 ) )
=> ! [SY38: mworld] :
( ( mrel @ SY36 @ SY38 )
=> ( in @ SY35 @ SY995 @ SY38 ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[33]) ).
thf(36,plain,
( ( ~ ! [SY995: $i] :
( ( eiw_di @ SY995 @ sK1_SY52 )
=> ! [SY996: mworld] :
( ( mrel @ sK1_SY52 @ SY996 )
=> ! [SY35: $i] :
( ( eiw_di @ SY35 @ SY996 )
=> ! [SY36: mworld] :
( ( mrel @ SY996 @ SY36 )
=> ( ! [SY37: mworld] :
( ( mrel @ SY36 @ SY37 )
=> ( qmltpeq @ ( set_intersection2 @ SY995 @ ( singleton @ SY35 ) ) @ ( singleton @ SY35 ) @ SY37 ) )
=> ! [SY38: mworld] :
( ( mrel @ SY36 @ SY38 )
=> ( in @ SY35 @ SY995 @ SY38 ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(37,plain,
( ( ( eiw_di @ sK2_SY995 @ sK1_SY52 )
& ( mrel @ sK1_SY52 @ sK3_SY1001 )
& ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
& ( mrel @ sK3_SY1001 @ sK5_SY1010 )
& ! [SY1013: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SY1013 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SY1013 ) )
& ( mrel @ sK5_SY1010 @ sK6_SY1014 )
& ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(38,plain,
( ( ! [SY118: mworld] :
( ~ ( mrel @ mactual @ SY118 )
| ! [SY112: $i] :
( ~ ( eiw_di @ SY112 @ SY118 )
| ! [SY113: mworld] :
( ~ ( mrel @ SY118 @ SY113 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SY113 )
| ! [SY102: mworld] :
( ~ ( mrel @ SY113 @ SY102 )
| ( ( mrel @ SY102 @ ( sK7_SY103 @ SY102 @ SY101 @ SY113 @ SY112 @ SY118 ) )
& ~ ( qmltpeq @ ( set_intersection2 @ SY112 @ ( singleton @ SY101 ) ) @ ( singleton @ SY101 ) @ ( sK7_SY103 @ SY102 @ SY101 @ SY113 @ SY112 @ SY118 ) ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY102 @ SY104 )
| ( in @ SY101 @ SY112 @ SY104 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(39,plain,
( ( ! [SY197: mworld] :
( ~ ( mrel @ mactual @ SY197 )
| ! [SY190: $i] :
( ~ ( eiw_di @ SY190 @ SY197 )
| ! [SY191: mworld] :
( ~ ( mrel @ SY197 @ SY191 )
| ! [SY177: $i] :
( ~ ( eiw_di @ SY177 @ SY191 )
| ! [SY178: mworld] :
( ~ ( mrel @ SY191 @ SY178 )
| ( ( mrel @ SY178 @ ( sK9_SY179 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) )
& ~ ( in @ SY190 @ SY177 @ ( sK9_SY179 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) ) )
| ! [SY180: mworld] :
( ~ ( mrel @ SY178 @ SY180 )
| ( ( mrel @ SY180 @ ( sK8_SY181 @ SY180 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) )
& ~ ( in @ SY177 @ SY190 @ ( sK8_SY181 @ SY180 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(40,plain,
( ( ! [SY241: mworld] :
( ~ ( mrel @ mactual @ SY241 )
| ! [SY237: $i] :
( ~ ( eiw_di @ SY237 @ SY241 )
| ! [SY238: mworld] :
( ~ ( mrel @ SY241 @ SY238 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY238 )
| ! [SY231: mworld] :
( ~ ( mrel @ SY238 @ SY231 )
| ( qmltpeq @ ( set_intersection2 @ SY237 @ SY237 ) @ SY237 @ SY231 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(41,plain,
( ( ! [SY279: mworld] :
( ~ ( mrel @ mactual @ SY279 )
| ! [SY275: $i] :
( ~ ( eiw_di @ SY275 @ SY279 )
| ! [SY276: mworld] :
( ~ ( mrel @ SY279 @ SY276 )
| ! [SY268: $i] :
( ~ ( eiw_di @ SY268 @ SY276 )
| ! [SY269: mworld] :
( ~ ( mrel @ SY276 @ SY269 )
| ( qmltpeq @ ( set_intersection2 @ SY275 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY275 ) @ SY269 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(42,plain,
( ( ! [SY389: mworld] :
( ~ ( mrel @ mactual @ SY389 )
| ! [SY380: $i] :
( ~ ( eiw_di @ SY380 @ SY389 )
| ! [SY381: mworld] :
( ~ ( mrel @ SY389 @ SY381 )
| ! [SY363: $i] :
( ~ ( eiw_di @ SY363 @ SY381 )
| ! [SY364: mworld] :
( ~ ( mrel @ SY381 @ SY364 )
| ! [SY365: $i] :
( ~ ( eiw_di @ SY365 @ SY364 )
| ! [SY366: mworld] :
( ~ ( mrel @ SY364 @ SY366 )
| ( ( mrel @ SY366 @ ( sK11_SY367 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) )
& ~ ( qmltpeq @ SY380 @ SY363 @ ( sK11_SY367 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) ) )
| ( ( mrel @ SY366 @ ( sK10_SY368 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) )
& ~ ( in @ SY365 @ SY380 @ ( sK10_SY368 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) ) )
| ! [SY343: mworld] :
( ~ ( mrel @ SY366 @ SY343 )
| ( in @ SY365 @ SY363 @ SY343 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(43,plain,
( ( ! [SY509: mworld] :
( ~ ( mrel @ mactual @ SY509 )
| ! [SY500: $i] :
( ~ ( eiw_di @ SY500 @ SY509 )
| ! [SY501: mworld] :
( ~ ( mrel @ SY509 @ SY501 )
| ! [SY483: $i] :
( ~ ( eiw_di @ SY483 @ SY501 )
| ! [SY484: mworld] :
( ~ ( mrel @ SY501 @ SY484 )
| ! [SY485: $i] :
( ~ ( eiw_di @ SY485 @ SY484 )
| ! [SY486: mworld] :
( ~ ( mrel @ SY484 @ SY486 )
| ( ( mrel @ SY486 @ ( sK13_SY487 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) )
& ~ ( qmltpeq @ SY500 @ SY483 @ ( sK13_SY487 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) ) )
| ( ( mrel @ SY486 @ ( sK12_SY488 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) )
& ~ ( in @ SY500 @ SY485 @ ( sK12_SY488 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) ) )
| ! [SY463: mworld] :
( ~ ( mrel @ SY486 @ SY463 )
| ( in @ SY483 @ SY485 @ SY463 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(44,plain,
( ( ! [SY581: mworld] :
( ~ ( mrel @ mactual @ SY581 )
| ! [SY575: $i] :
( ~ ( eiw_di @ SY575 @ SY581 )
| ! [SY576: mworld] :
( ~ ( mrel @ SY581 @ SY576 )
| ! [SY564: $i] :
( ~ ( eiw_di @ SY564 @ SY576 )
| ! [SY565: mworld] :
( ~ ( mrel @ SY576 @ SY565 )
| ( ( mrel @ SY565 @ ( sK14_SY566 @ SY565 @ SY564 @ SY576 @ SY575 @ SY581 ) )
& ~ ( qmltpeq @ SY575 @ SY564 @ ( sK14_SY566 @ SY565 @ SY564 @ SY576 @ SY575 @ SY581 ) ) )
| ! [SY567: mworld] :
( ~ ( mrel @ SY565 @ SY567 )
| ( qmltpeq @ ( singleton @ SY575 ) @ ( singleton @ SY564 ) @ SY567 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(45,plain,
( ( ! [SY675: mworld] :
( ~ ( mrel @ mactual @ SY675 )
| ! [SY667: $i] :
( ~ ( eiw_di @ SY667 @ SY675 )
| ! [SY668: mworld] :
( ~ ( mrel @ SY675 @ SY668 )
| ! [SY652: $i] :
( ~ ( eiw_di @ SY652 @ SY668 )
| ! [SY653: mworld] :
( ~ ( mrel @ SY668 @ SY653 )
| ! [SY654: $i] :
( ~ ( eiw_di @ SY654 @ SY653 )
| ! [SY655: mworld] :
( ~ ( mrel @ SY653 @ SY655 )
| ( ( mrel @ SY655 @ ( sK15_SY656 @ SY655 @ SY654 @ SY653 @ SY652 @ SY668 @ SY667 @ SY675 ) )
& ~ ( qmltpeq @ SY667 @ SY652 @ ( sK15_SY656 @ SY655 @ SY654 @ SY653 @ SY652 @ SY668 @ SY667 @ SY675 ) ) )
| ! [SY657: mworld] :
( ~ ( mrel @ SY655 @ SY657 )
| ( qmltpeq @ ( set_intersection2 @ SY654 @ SY667 ) @ ( set_intersection2 @ SY654 @ SY652 ) @ SY657 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(46,plain,
( ( ! [SY773: mworld] :
( ~ ( mrel @ mactual @ SY773 )
| ! [SY765: $i] :
( ~ ( eiw_di @ SY765 @ SY773 )
| ! [SY766: mworld] :
( ~ ( mrel @ SY773 @ SY766 )
| ! [SY750: $i] :
( ~ ( eiw_di @ SY750 @ SY766 )
| ! [SY751: mworld] :
( ~ ( mrel @ SY766 @ SY751 )
| ! [SY752: $i] :
( ~ ( eiw_di @ SY752 @ SY751 )
| ! [SY753: mworld] :
( ~ ( mrel @ SY751 @ SY753 )
| ( ( mrel @ SY753 @ ( sK16_SY754 @ SY753 @ SY752 @ SY751 @ SY750 @ SY766 @ SY765 @ SY773 ) )
& ~ ( qmltpeq @ SY765 @ SY750 @ ( sK16_SY754 @ SY753 @ SY752 @ SY751 @ SY750 @ SY766 @ SY765 @ SY773 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY753 @ SY755 )
| ( qmltpeq @ ( set_intersection2 @ SY765 @ SY752 ) @ ( set_intersection2 @ SY750 @ SY752 ) @ SY755 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(47,plain,
( ( ! [SY891: mworld] :
( ~ ( mrel @ mactual @ SY891 )
| ! [SY882: $i] :
( ~ ( eiw_di @ SY882 @ SY891 )
| ! [SY883: mworld] :
( ~ ( mrel @ SY891 @ SY883 )
| ! [SY865: $i] :
( ~ ( eiw_di @ SY865 @ SY883 )
| ! [SY866: mworld] :
( ~ ( mrel @ SY883 @ SY866 )
| ! [SY867: $i] :
( ~ ( eiw_di @ SY867 @ SY866 )
| ! [SY868: mworld] :
( ~ ( mrel @ SY866 @ SY868 )
| ( ( mrel @ SY868 @ ( sK18_SY869 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) )
& ~ ( qmltpeq @ SY882 @ SY865 @ ( sK18_SY869 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) ) )
| ( ( mrel @ SY868 @ ( sK17_SY844 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) )
& ~ ( qmltpeq @ SY865 @ SY867 @ ( sK17_SY844 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) ) )
| ! [SY871: mworld] :
( ~ ( mrel @ SY868 @ SY871 )
| ( qmltpeq @ SY882 @ SY867 @ SY871 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(48,plain,
( ( ! [SY963: mworld] :
( ~ ( mrel @ mactual @ SY963 )
| ! [SY957: $i] :
( ~ ( eiw_di @ SY957 @ SY963 )
| ! [SY958: mworld] :
( ~ ( mrel @ SY963 @ SY958 )
| ! [SY946: $i] :
( ~ ( eiw_di @ SY946 @ SY958 )
| ! [SY947: mworld] :
( ~ ( mrel @ SY958 @ SY947 )
| ( ( mrel @ SY947 @ ( sK19_SY948 @ SY947 @ SY946 @ SY958 @ SY957 @ SY963 ) )
& ~ ( qmltpeq @ SY957 @ SY946 @ ( sK19_SY948 @ SY947 @ SY946 @ SY958 @ SY957 @ SY963 ) ) )
| ! [SY949: mworld] :
( ~ ( mrel @ SY947 @ SY949 )
| ( qmltpeq @ SY946 @ SY957 @ SY949 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(49,plain,
( ( ! [SY989: mworld] :
( ~ ( mrel @ mactual @ SY989 )
| ! [SY987: $i] :
( ~ ( eiw_di @ SY987 @ SY989 )
| ! [SY988: mworld] :
( ~ ( mrel @ SY989 @ SY988 )
| ( qmltpeq @ SY987 @ SY987 @ SY988 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(50,plain,
( ( ! [SY989: mworld] :
( ~ ( mrel @ mactual @ SY989 )
| ! [SY987: $i] :
( ~ ( eiw_di @ SY987 @ SY989 )
| ! [SY988: mworld] :
( ~ ( mrel @ SY989 @ SY988 )
| ( qmltpeq @ SY987 @ SY987 @ SY988 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(51,plain,
( ( ! [SY963: mworld] :
( ~ ( mrel @ mactual @ SY963 )
| ! [SY957: $i] :
( ~ ( eiw_di @ SY957 @ SY963 )
| ! [SY958: mworld] :
( ~ ( mrel @ SY963 @ SY958 )
| ! [SY946: $i] :
( ~ ( eiw_di @ SY946 @ SY958 )
| ! [SY947: mworld] :
( ~ ( mrel @ SY958 @ SY947 )
| ( ( mrel @ SY947 @ ( sK19_SY948 @ SY947 @ SY946 @ SY958 @ SY957 @ SY963 ) )
& ~ ( qmltpeq @ SY957 @ SY946 @ ( sK19_SY948 @ SY947 @ SY946 @ SY958 @ SY957 @ SY963 ) ) )
| ! [SY949: mworld] :
( ~ ( mrel @ SY947 @ SY949 )
| ( qmltpeq @ SY946 @ SY957 @ SY949 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(52,plain,
( ( ! [SY891: mworld] :
( ~ ( mrel @ mactual @ SY891 )
| ! [SY882: $i] :
( ~ ( eiw_di @ SY882 @ SY891 )
| ! [SY883: mworld] :
( ~ ( mrel @ SY891 @ SY883 )
| ! [SY865: $i] :
( ~ ( eiw_di @ SY865 @ SY883 )
| ! [SY866: mworld] :
( ~ ( mrel @ SY883 @ SY866 )
| ! [SY867: $i] :
( ~ ( eiw_di @ SY867 @ SY866 )
| ! [SY868: mworld] :
( ~ ( mrel @ SY866 @ SY868 )
| ( ( mrel @ SY868 @ ( sK18_SY869 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) )
& ~ ( qmltpeq @ SY882 @ SY865 @ ( sK18_SY869 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) ) )
| ( ( mrel @ SY868 @ ( sK17_SY844 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) )
& ~ ( qmltpeq @ SY865 @ SY867 @ ( sK17_SY844 @ SY868 @ SY867 @ SY866 @ SY865 @ SY883 @ SY882 @ SY891 ) ) )
| ! [SY871: mworld] :
( ~ ( mrel @ SY868 @ SY871 )
| ( qmltpeq @ SY882 @ SY867 @ SY871 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(53,plain,
( ( ! [SY773: mworld] :
( ~ ( mrel @ mactual @ SY773 )
| ! [SY765: $i] :
( ~ ( eiw_di @ SY765 @ SY773 )
| ! [SY766: mworld] :
( ~ ( mrel @ SY773 @ SY766 )
| ! [SY750: $i] :
( ~ ( eiw_di @ SY750 @ SY766 )
| ! [SY751: mworld] :
( ~ ( mrel @ SY766 @ SY751 )
| ! [SY752: $i] :
( ~ ( eiw_di @ SY752 @ SY751 )
| ! [SY753: mworld] :
( ~ ( mrel @ SY751 @ SY753 )
| ( ( mrel @ SY753 @ ( sK16_SY754 @ SY753 @ SY752 @ SY751 @ SY750 @ SY766 @ SY765 @ SY773 ) )
& ~ ( qmltpeq @ SY765 @ SY750 @ ( sK16_SY754 @ SY753 @ SY752 @ SY751 @ SY750 @ SY766 @ SY765 @ SY773 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY753 @ SY755 )
| ( qmltpeq @ ( set_intersection2 @ SY765 @ SY752 ) @ ( set_intersection2 @ SY750 @ SY752 ) @ SY755 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [SY675: mworld] :
( ~ ( mrel @ mactual @ SY675 )
| ! [SY667: $i] :
( ~ ( eiw_di @ SY667 @ SY675 )
| ! [SY668: mworld] :
( ~ ( mrel @ SY675 @ SY668 )
| ! [SY652: $i] :
( ~ ( eiw_di @ SY652 @ SY668 )
| ! [SY653: mworld] :
( ~ ( mrel @ SY668 @ SY653 )
| ! [SY654: $i] :
( ~ ( eiw_di @ SY654 @ SY653 )
| ! [SY655: mworld] :
( ~ ( mrel @ SY653 @ SY655 )
| ( ( mrel @ SY655 @ ( sK15_SY656 @ SY655 @ SY654 @ SY653 @ SY652 @ SY668 @ SY667 @ SY675 ) )
& ~ ( qmltpeq @ SY667 @ SY652 @ ( sK15_SY656 @ SY655 @ SY654 @ SY653 @ SY652 @ SY668 @ SY667 @ SY675 ) ) )
| ! [SY657: mworld] :
( ~ ( mrel @ SY655 @ SY657 )
| ( qmltpeq @ ( set_intersection2 @ SY654 @ SY667 ) @ ( set_intersection2 @ SY654 @ SY652 ) @ SY657 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(55,plain,
( ( ! [SY581: mworld] :
( ~ ( mrel @ mactual @ SY581 )
| ! [SY575: $i] :
( ~ ( eiw_di @ SY575 @ SY581 )
| ! [SY576: mworld] :
( ~ ( mrel @ SY581 @ SY576 )
| ! [SY564: $i] :
( ~ ( eiw_di @ SY564 @ SY576 )
| ! [SY565: mworld] :
( ~ ( mrel @ SY576 @ SY565 )
| ( ( mrel @ SY565 @ ( sK14_SY566 @ SY565 @ SY564 @ SY576 @ SY575 @ SY581 ) )
& ~ ( qmltpeq @ SY575 @ SY564 @ ( sK14_SY566 @ SY565 @ SY564 @ SY576 @ SY575 @ SY581 ) ) )
| ! [SY567: mworld] :
( ~ ( mrel @ SY565 @ SY567 )
| ( qmltpeq @ ( singleton @ SY575 ) @ ( singleton @ SY564 ) @ SY567 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(56,plain,
( ( ! [SY509: mworld] :
( ~ ( mrel @ mactual @ SY509 )
| ! [SY500: $i] :
( ~ ( eiw_di @ SY500 @ SY509 )
| ! [SY501: mworld] :
( ~ ( mrel @ SY509 @ SY501 )
| ! [SY483: $i] :
( ~ ( eiw_di @ SY483 @ SY501 )
| ! [SY484: mworld] :
( ~ ( mrel @ SY501 @ SY484 )
| ! [SY485: $i] :
( ~ ( eiw_di @ SY485 @ SY484 )
| ! [SY486: mworld] :
( ~ ( mrel @ SY484 @ SY486 )
| ( ( mrel @ SY486 @ ( sK13_SY487 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) )
& ~ ( qmltpeq @ SY500 @ SY483 @ ( sK13_SY487 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) ) )
| ( ( mrel @ SY486 @ ( sK12_SY488 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) )
& ~ ( in @ SY500 @ SY485 @ ( sK12_SY488 @ SY486 @ SY485 @ SY484 @ SY483 @ SY501 @ SY500 @ SY509 ) ) )
| ! [SY463: mworld] :
( ~ ( mrel @ SY486 @ SY463 )
| ( in @ SY483 @ SY485 @ SY463 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(57,plain,
( ( ! [SY389: mworld] :
( ~ ( mrel @ mactual @ SY389 )
| ! [SY380: $i] :
( ~ ( eiw_di @ SY380 @ SY389 )
| ! [SY381: mworld] :
( ~ ( mrel @ SY389 @ SY381 )
| ! [SY363: $i] :
( ~ ( eiw_di @ SY363 @ SY381 )
| ! [SY364: mworld] :
( ~ ( mrel @ SY381 @ SY364 )
| ! [SY365: $i] :
( ~ ( eiw_di @ SY365 @ SY364 )
| ! [SY366: mworld] :
( ~ ( mrel @ SY364 @ SY366 )
| ( ( mrel @ SY366 @ ( sK11_SY367 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) )
& ~ ( qmltpeq @ SY380 @ SY363 @ ( sK11_SY367 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) ) )
| ( ( mrel @ SY366 @ ( sK10_SY368 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) )
& ~ ( in @ SY365 @ SY380 @ ( sK10_SY368 @ SY366 @ SY365 @ SY364 @ SY363 @ SY381 @ SY380 @ SY389 ) ) )
| ! [SY343: mworld] :
( ~ ( mrel @ SY366 @ SY343 )
| ( in @ SY365 @ SY363 @ SY343 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(58,plain,
( ( ! [SY279: mworld] :
( ~ ( mrel @ mactual @ SY279 )
| ! [SY275: $i] :
( ~ ( eiw_di @ SY275 @ SY279 )
| ! [SY276: mworld] :
( ~ ( mrel @ SY279 @ SY276 )
| ! [SY268: $i] :
( ~ ( eiw_di @ SY268 @ SY276 )
| ! [SY269: mworld] :
( ~ ( mrel @ SY276 @ SY269 )
| ( qmltpeq @ ( set_intersection2 @ SY275 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY275 ) @ SY269 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(59,plain,
( ( ! [SY241: mworld] :
( ~ ( mrel @ mactual @ SY241 )
| ! [SY237: $i] :
( ~ ( eiw_di @ SY237 @ SY241 )
| ! [SY238: mworld] :
( ~ ( mrel @ SY241 @ SY238 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY238 )
| ! [SY231: mworld] :
( ~ ( mrel @ SY238 @ SY231 )
| ( qmltpeq @ ( set_intersection2 @ SY237 @ SY237 ) @ SY237 @ SY231 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [SY197: mworld] :
( ~ ( mrel @ mactual @ SY197 )
| ! [SY190: $i] :
( ~ ( eiw_di @ SY190 @ SY197 )
| ! [SY191: mworld] :
( ~ ( mrel @ SY197 @ SY191 )
| ! [SY177: $i] :
( ~ ( eiw_di @ SY177 @ SY191 )
| ! [SY178: mworld] :
( ~ ( mrel @ SY191 @ SY178 )
| ( ( mrel @ SY178 @ ( sK9_SY179 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) )
& ~ ( in @ SY190 @ SY177 @ ( sK9_SY179 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) ) )
| ! [SY180: mworld] :
( ~ ( mrel @ SY178 @ SY180 )
| ( ( mrel @ SY180 @ ( sK8_SY181 @ SY180 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) )
& ~ ( in @ SY177 @ SY190 @ ( sK8_SY181 @ SY180 @ SY178 @ SY177 @ SY191 @ SY190 @ SY197 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(61,plain,
( ( ! [SY118: mworld] :
( ~ ( mrel @ mactual @ SY118 )
| ! [SY112: $i] :
( ~ ( eiw_di @ SY112 @ SY118 )
| ! [SY113: mworld] :
( ~ ( mrel @ SY118 @ SY113 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SY113 )
| ! [SY102: mworld] :
( ~ ( mrel @ SY113 @ SY102 )
| ( ( mrel @ SY102 @ ( sK7_SY103 @ SY102 @ SY101 @ SY113 @ SY112 @ SY118 ) )
& ~ ( qmltpeq @ ( set_intersection2 @ SY112 @ ( singleton @ SY101 ) ) @ ( singleton @ SY101 ) @ ( sK7_SY103 @ SY102 @ SY101 @ SY113 @ SY112 @ SY118 ) ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY102 @ SY104 )
| ( in @ SY101 @ SY112 @ SY104 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(62,plain,
( ( mrel @ mactual @ sK1_SY52 )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(63,plain,
( ( ( eiw_di @ sK2_SY995 @ sK1_SY52 )
& ( mrel @ sK1_SY52 @ sK3_SY1001 )
& ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
& ( mrel @ sK3_SY1001 @ sK5_SY1010 )
& ! [SY1013: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SY1013 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SY1013 ) )
& ( mrel @ sK5_SY1010 @ sK6_SY1014 )
& ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(64,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 )
| ~ ( ~ ( mrel @ SX4 @ ( sK19_SY948 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK19_SY948 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(65,plain,
( ( ~ ( ~ ( eiw_di @ sK2_SY995 @ sK1_SY52 )
| ~ ~ ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 )
| ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63,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: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ~ ( mrel @ SX6 @ ( sK11_SY367 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK11_SY367 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( mrel @ SX6 @ ( sK10_SY368 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( in @ SX5 @ SX1 @ ( sK10_SY368 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(67,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 )
| ~ ( ~ ( mrel @ SX6 @ ( sK16_SY754 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK16_SY754 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ SX5 ) @ ( set_intersection2 @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(68,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 )
| ~ ( ~ ( mrel @ SX6 @ ( sK15_SY656 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK15_SY656 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX5 @ SX1 ) @ ( set_intersection2 @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(69,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 )
| ~ ( ~ ( mrel @ SX4 @ ( sK7_SY103 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SX1 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ ( sK7_SY103 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(70,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 )
| ~ ( ~ ( mrel @ SX6 @ ( sK13_SY487 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK13_SY487 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( mrel @ SX6 @ ( sK12_SY488 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( in @ SX1 @ SX5 @ ( sK12_SY488 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(71,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 )
| ~ ( ~ ( mrel @ SX4 @ ( sK9_SY179 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( in @ SX1 @ SX3 @ ( sK9_SY179 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ( ~ ( mrel @ SX5 @ ( sK8_SY181 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( in @ SX3 @ SX1 @ ( sK8_SY181 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(72,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 )
| ~ ( ~ ( mrel @ SX4 @ ( sK14_SY566 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK14_SY566 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SX1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(73,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 )
| ~ ( ~ ( mrel @ SX6 @ ( sK18_SY869 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX1 @ SX3 @ ( sK18_SY869 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( mrel @ SX6 @ ( sK17_SY844 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( qmltpeq @ SX3 @ SX5 @ ( sK17_SY844 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(74,plain,
! [SV1: mworld] :
( ( ~ ( mrel @ mactual @ SV1 )
| ! [SY1015: $i] :
( ~ ( eiw_di @ SY1015 @ SV1 )
| ! [SY1016: mworld] :
( ~ ( mrel @ SV1 @ SY1016 )
| ( qmltpeq @ SY1015 @ SY1015 @ SY1016 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(75,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ mactual @ SV2 )
| ! [SY1017: $i] :
( ~ ( eiw_di @ SY1017 @ SV2 )
| ! [SY1018: mworld] :
( ~ ( mrel @ SV2 @ SY1018 )
| ! [SY268: $i] :
( ~ ( eiw_di @ SY268 @ SY1018 )
| ! [SY269: mworld] :
( ~ ( mrel @ SY1018 @ SY269 )
| ( qmltpeq @ ( set_intersection2 @ SY1017 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY1017 ) @ SY269 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ! [SY1021: $i] :
( ~ ( eiw_di @ SY1021 @ SV3 )
| ! [SY1022: mworld] :
( ~ ( mrel @ SV3 @ SY1022 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1022 )
| ! [SY231: mworld] :
( ~ ( mrel @ SY1022 @ SY231 )
| ( qmltpeq @ ( set_intersection2 @ SY1021 @ SY1021 ) @ SY1021 @ SY231 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY1025: $i] :
( ~ ( eiw_di @ SY1025 @ SV4 )
| ! [SY1026: mworld] :
( ~ ( mrel @ SV4 @ SY1026 )
| ! [SY1027: $i] :
( ~ ( eiw_di @ SY1027 @ SY1026 )
| ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ~ ( ~ ( mrel @ SY1028 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) )
| ~ ~ ( qmltpeq @ SY1025 @ SY1027 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1028 @ SX5 )
| ( qmltpeq @ SY1027 @ SY1025 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(78,plain,
( ( ~ ( eiw_di @ sK2_SY995 @ sK1_SY52 )
| ~ ~ ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 )
| ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY1030: $i] :
( ~ ( eiw_di @ SY1030 @ SV5 )
| ! [SY1031: mworld] :
( ~ ( mrel @ SV5 @ SY1031 )
| ! [SY1032: $i] :
( ~ ( eiw_di @ SY1032 @ SY1031 )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1031 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( eiw_di @ SY1034 @ SY1033 )
| ! [SY1035: mworld] :
( ~ ( mrel @ SY1033 @ SY1035 )
| ~ ( ~ ( mrel @ SY1035 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( qmltpeq @ SY1030 @ SY1032 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1035 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( in @ SY1034 @ SY1030 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1035 @ SX7 )
| ( in @ SY1034 @ SY1032 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY1037: $i] :
( ~ ( eiw_di @ SY1037 @ SV6 )
| ! [SY1038: mworld] :
( ~ ( mrel @ SV6 @ SY1038 )
| ! [SY1039: $i] :
( ~ ( eiw_di @ SY1039 @ SY1038 )
| ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ! [SY1041: $i] :
( ~ ( eiw_di @ SY1041 @ SY1040 )
| ! [SY1042: mworld] :
( ~ ( mrel @ SY1040 @ SY1042 )
| ~ ( ~ ( mrel @ SY1042 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) )
| ~ ~ ( qmltpeq @ SY1037 @ SY1039 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1042 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1037 @ SY1041 ) @ ( set_intersection2 @ SY1039 @ SY1041 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY1044: $i] :
( ~ ( eiw_di @ SY1044 @ SV7 )
| ! [SY1045: mworld] :
( ~ ( mrel @ SV7 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( eiw_di @ SY1046 @ SY1045 )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1045 @ SY1047 )
| ! [SY1048: $i] :
( ~ ( eiw_di @ SY1048 @ SY1047 )
| ! [SY1049: mworld] :
( ~ ( mrel @ SY1047 @ SY1049 )
| ~ ( ~ ( mrel @ SY1049 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) )
| ~ ~ ( qmltpeq @ SY1044 @ SY1046 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1049 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1048 @ SY1044 ) @ ( set_intersection2 @ SY1048 @ SY1046 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY1051: $i] :
( ~ ( eiw_di @ SY1051 @ SV8 )
| ! [SY1052: mworld] :
( ~ ( mrel @ SV8 @ SY1052 )
| ! [SY1053: $i] :
( ~ ( eiw_di @ SY1053 @ SY1052 )
| ! [SY1054: mworld] :
( ~ ( mrel @ SY1052 @ SY1054 )
| ~ ( ~ ( mrel @ SY1054 @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SY1051 @ ( singleton @ SY1053 ) ) @ ( singleton @ SY1053 ) @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1054 @ SX5 )
| ( in @ SY1053 @ SY1051 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY1056: $i] :
( ~ ( eiw_di @ SY1056 @ SV9 )
| ! [SY1057: mworld] :
( ~ ( mrel @ SV9 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( eiw_di @ SY1058 @ SY1057 )
| ! [SY1059: mworld] :
( ~ ( mrel @ SY1057 @ SY1059 )
| ! [SY1060: $i] :
( ~ ( eiw_di @ SY1060 @ SY1059 )
| ! [SY1061: mworld] :
( ~ ( mrel @ SY1059 @ SY1061 )
| ~ ( ~ ( mrel @ SY1061 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( qmltpeq @ SY1056 @ SY1058 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1061 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( in @ SY1056 @ SY1060 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1061 @ SX7 )
| ( in @ SY1058 @ SY1060 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY1063: $i] :
( ~ ( eiw_di @ SY1063 @ SV10 )
| ! [SY1064: mworld] :
( ~ ( mrel @ SV10 @ SY1064 )
| ! [SY1065: $i] :
( ~ ( eiw_di @ SY1065 @ SY1064 )
| ! [SY1066: mworld] :
( ~ ( mrel @ SY1064 @ SY1066 )
| ~ ( ~ ( mrel @ SY1066 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1063 @ SY1065 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) )
| ! [SY1067: mworld] :
( ~ ( mrel @ SY1066 @ SY1067 )
| ~ ( ~ ( mrel @ SY1067 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1065 @ SY1063 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(85,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY1068: $i] :
( ~ ( eiw_di @ SY1068 @ SV11 )
| ! [SY1069: mworld] :
( ~ ( mrel @ SV11 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( eiw_di @ SY1070 @ SY1069 )
| ! [SY1071: mworld] :
( ~ ( mrel @ SY1069 @ SY1071 )
| ~ ( ~ ( mrel @ SY1071 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) )
| ~ ~ ( qmltpeq @ SY1068 @ SY1070 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1071 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1068 ) @ ( singleton @ SY1070 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ! [SY1073: $i] :
( ~ ( eiw_di @ SY1073 @ SV12 )
| ! [SY1074: mworld] :
( ~ ( mrel @ SV12 @ SY1074 )
| ! [SY1075: $i] :
( ~ ( eiw_di @ SY1075 @ SY1074 )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ! [SY1077: $i] :
( ~ ( eiw_di @ SY1077 @ SY1076 )
| ! [SY1078: mworld] :
( ~ ( mrel @ SY1076 @ SY1078 )
| ~ ( ~ ( mrel @ SY1078 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1073 @ SY1075 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1078 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1075 @ SY1077 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1078 @ SX7 )
| ( qmltpeq @ SY1073 @ SY1077 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV1: mworld] :
( ( ( ~ ( mrel @ mactual @ SV1 ) )
= $true )
| ( ( ! [SY1015: $i] :
( ~ ( eiw_di @ SY1015 @ SV1 )
| ! [SY1016: mworld] :
( ~ ( mrel @ SV1 @ SY1016 )
| ( qmltpeq @ SY1015 @ SY1015 @ SY1016 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ mactual @ SV2 ) )
= $true )
| ( ( ! [SY1017: $i] :
( ~ ( eiw_di @ SY1017 @ SV2 )
| ! [SY1018: mworld] :
( ~ ( mrel @ SV2 @ SY1018 )
| ! [SY268: $i] :
( ~ ( eiw_di @ SY268 @ SY1018 )
| ! [SY269: mworld] :
( ~ ( mrel @ SY1018 @ SY269 )
| ( qmltpeq @ ( set_intersection2 @ SY1017 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY1017 ) @ SY269 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ! [SY1021: $i] :
( ~ ( eiw_di @ SY1021 @ SV3 )
| ! [SY1022: mworld] :
( ~ ( mrel @ SV3 @ SY1022 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1022 )
| ! [SY231: mworld] :
( ~ ( mrel @ SY1022 @ SY231 )
| ( qmltpeq @ ( set_intersection2 @ SY1021 @ SY1021 ) @ SY1021 @ SY231 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY1025: $i] :
( ~ ( eiw_di @ SY1025 @ SV4 )
| ! [SY1026: mworld] :
( ~ ( mrel @ SV4 @ SY1026 )
| ! [SY1027: $i] :
( ~ ( eiw_di @ SY1027 @ SY1026 )
| ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ~ ( ~ ( mrel @ SY1028 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) )
| ~ ~ ( qmltpeq @ SY1025 @ SY1027 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1028 @ SX5 )
| ( qmltpeq @ SY1027 @ SY1025 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(91,plain,
( ( ~ ( eiw_di @ sK2_SY995 @ sK1_SY52 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(92,plain,
( ( ~ ~ ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 )
| ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY1030: $i] :
( ~ ( eiw_di @ SY1030 @ SV5 )
| ! [SY1031: mworld] :
( ~ ( mrel @ SV5 @ SY1031 )
| ! [SY1032: $i] :
( ~ ( eiw_di @ SY1032 @ SY1031 )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1031 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( eiw_di @ SY1034 @ SY1033 )
| ! [SY1035: mworld] :
( ~ ( mrel @ SY1033 @ SY1035 )
| ~ ( ~ ( mrel @ SY1035 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( qmltpeq @ SY1030 @ SY1032 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1035 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( in @ SY1034 @ SY1030 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1035 @ SX7 )
| ( in @ SY1034 @ SY1032 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY1037: $i] :
( ~ ( eiw_di @ SY1037 @ SV6 )
| ! [SY1038: mworld] :
( ~ ( mrel @ SV6 @ SY1038 )
| ! [SY1039: $i] :
( ~ ( eiw_di @ SY1039 @ SY1038 )
| ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ! [SY1041: $i] :
( ~ ( eiw_di @ SY1041 @ SY1040 )
| ! [SY1042: mworld] :
( ~ ( mrel @ SY1040 @ SY1042 )
| ~ ( ~ ( mrel @ SY1042 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) )
| ~ ~ ( qmltpeq @ SY1037 @ SY1039 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1042 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1037 @ SY1041 ) @ ( set_intersection2 @ SY1039 @ SY1041 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY1044: $i] :
( ~ ( eiw_di @ SY1044 @ SV7 )
| ! [SY1045: mworld] :
( ~ ( mrel @ SV7 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( eiw_di @ SY1046 @ SY1045 )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1045 @ SY1047 )
| ! [SY1048: $i] :
( ~ ( eiw_di @ SY1048 @ SY1047 )
| ! [SY1049: mworld] :
( ~ ( mrel @ SY1047 @ SY1049 )
| ~ ( ~ ( mrel @ SY1049 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) )
| ~ ~ ( qmltpeq @ SY1044 @ SY1046 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1049 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1048 @ SY1044 ) @ ( set_intersection2 @ SY1048 @ SY1046 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY1051: $i] :
( ~ ( eiw_di @ SY1051 @ SV8 )
| ! [SY1052: mworld] :
( ~ ( mrel @ SV8 @ SY1052 )
| ! [SY1053: $i] :
( ~ ( eiw_di @ SY1053 @ SY1052 )
| ! [SY1054: mworld] :
( ~ ( mrel @ SY1052 @ SY1054 )
| ~ ( ~ ( mrel @ SY1054 @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SY1051 @ ( singleton @ SY1053 ) ) @ ( singleton @ SY1053 ) @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1054 @ SX5 )
| ( in @ SY1053 @ SY1051 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY1056: $i] :
( ~ ( eiw_di @ SY1056 @ SV9 )
| ! [SY1057: mworld] :
( ~ ( mrel @ SV9 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( eiw_di @ SY1058 @ SY1057 )
| ! [SY1059: mworld] :
( ~ ( mrel @ SY1057 @ SY1059 )
| ! [SY1060: $i] :
( ~ ( eiw_di @ SY1060 @ SY1059 )
| ! [SY1061: mworld] :
( ~ ( mrel @ SY1059 @ SY1061 )
| ~ ( ~ ( mrel @ SY1061 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( qmltpeq @ SY1056 @ SY1058 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1061 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( in @ SY1056 @ SY1060 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1061 @ SX7 )
| ( in @ SY1058 @ SY1060 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY1063: $i] :
( ~ ( eiw_di @ SY1063 @ SV10 )
| ! [SY1064: mworld] :
( ~ ( mrel @ SV10 @ SY1064 )
| ! [SY1065: $i] :
( ~ ( eiw_di @ SY1065 @ SY1064 )
| ! [SY1066: mworld] :
( ~ ( mrel @ SY1064 @ SY1066 )
| ~ ( ~ ( mrel @ SY1066 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1063 @ SY1065 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) )
| ! [SY1067: mworld] :
( ~ ( mrel @ SY1066 @ SY1067 )
| ~ ( ~ ( mrel @ SY1067 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1065 @ SY1063 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY1068: $i] :
( ~ ( eiw_di @ SY1068 @ SV11 )
| ! [SY1069: mworld] :
( ~ ( mrel @ SV11 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( eiw_di @ SY1070 @ SY1069 )
| ! [SY1071: mworld] :
( ~ ( mrel @ SY1069 @ SY1071 )
| ~ ( ~ ( mrel @ SY1071 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) )
| ~ ~ ( qmltpeq @ SY1068 @ SY1070 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1071 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1068 ) @ ( singleton @ SY1070 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ! [SY1073: $i] :
( ~ ( eiw_di @ SY1073 @ SV12 )
| ! [SY1074: mworld] :
( ~ ( mrel @ SV12 @ SY1074 )
| ! [SY1075: $i] :
( ~ ( eiw_di @ SY1075 @ SY1074 )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ! [SY1077: $i] :
( ~ ( eiw_di @ SY1077 @ SY1076 )
| ! [SY1078: mworld] :
( ~ ( mrel @ SY1076 @ SY1078 )
| ~ ( ~ ( mrel @ SY1078 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1073 @ SY1075 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1078 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1075 @ SY1077 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1078 @ SX7 )
| ( qmltpeq @ SY1073 @ SY1077 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV1: mworld] :
( ( ( mrel @ mactual @ SV1 )
= $false )
| ( ( ! [SY1015: $i] :
( ~ ( eiw_di @ SY1015 @ SV1 )
| ! [SY1016: mworld] :
( ~ ( mrel @ SV1 @ SY1016 )
| ( qmltpeq @ SY1015 @ SY1015 @ SY1016 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV2: mworld] :
( ( ( mrel @ mactual @ SV2 )
= $false )
| ( ( ! [SY1017: $i] :
( ~ ( eiw_di @ SY1017 @ SV2 )
| ! [SY1018: mworld] :
( ~ ( mrel @ SV2 @ SY1018 )
| ! [SY268: $i] :
( ~ ( eiw_di @ SY268 @ SY1018 )
| ! [SY269: mworld] :
( ~ ( mrel @ SY1018 @ SY269 )
| ( qmltpeq @ ( set_intersection2 @ SY1017 @ SY268 ) @ ( set_intersection2 @ SY268 @ SY1017 ) @ SY269 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ! [SY1021: $i] :
( ~ ( eiw_di @ SY1021 @ SV3 )
| ! [SY1022: mworld] :
( ~ ( mrel @ SV3 @ SY1022 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1022 )
| ! [SY231: mworld] :
( ~ ( mrel @ SY1022 @ SY231 )
| ( qmltpeq @ ( set_intersection2 @ SY1021 @ SY1021 ) @ SY1021 @ SY231 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( eiw_di @ SY1025 @ SV4 )
| ! [SY1026: mworld] :
( ~ ( mrel @ SV4 @ SY1026 )
| ! [SY1027: $i] :
( ~ ( eiw_di @ SY1027 @ SY1026 )
| ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ~ ( ~ ( mrel @ SY1028 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) )
| ~ ~ ( qmltpeq @ SY1025 @ SY1027 @ ( sK19_SY948 @ SY1028 @ SY1027 @ SY1026 @ SY1025 @ SV4 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1028 @ SX5 )
| ( qmltpeq @ SY1027 @ SY1025 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
( ( eiw_di @ sK2_SY995 @ sK1_SY52 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(106,plain,
( ( ~ ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 )
| ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(107,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY1030: $i] :
( ~ ( eiw_di @ SY1030 @ SV5 )
| ! [SY1031: mworld] :
( ~ ( mrel @ SV5 @ SY1031 )
| ! [SY1032: $i] :
( ~ ( eiw_di @ SY1032 @ SY1031 )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1031 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( eiw_di @ SY1034 @ SY1033 )
| ! [SY1035: mworld] :
( ~ ( mrel @ SY1033 @ SY1035 )
| ~ ( ~ ( mrel @ SY1035 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( qmltpeq @ SY1030 @ SY1032 @ ( sK11_SY367 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1035 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) )
| ~ ~ ( in @ SY1034 @ SY1030 @ ( sK10_SY368 @ SY1035 @ SY1034 @ SY1033 @ SY1032 @ SY1031 @ SY1030 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1035 @ SX7 )
| ( in @ SY1034 @ SY1032 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY1037: $i] :
( ~ ( eiw_di @ SY1037 @ SV6 )
| ! [SY1038: mworld] :
( ~ ( mrel @ SV6 @ SY1038 )
| ! [SY1039: $i] :
( ~ ( eiw_di @ SY1039 @ SY1038 )
| ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ! [SY1041: $i] :
( ~ ( eiw_di @ SY1041 @ SY1040 )
| ! [SY1042: mworld] :
( ~ ( mrel @ SY1040 @ SY1042 )
| ~ ( ~ ( mrel @ SY1042 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) )
| ~ ~ ( qmltpeq @ SY1037 @ SY1039 @ ( sK16_SY754 @ SY1042 @ SY1041 @ SY1040 @ SY1039 @ SY1038 @ SY1037 @ SV6 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1042 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1037 @ SY1041 ) @ ( set_intersection2 @ SY1039 @ SY1041 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY1044: $i] :
( ~ ( eiw_di @ SY1044 @ SV7 )
| ! [SY1045: mworld] :
( ~ ( mrel @ SV7 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( eiw_di @ SY1046 @ SY1045 )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1045 @ SY1047 )
| ! [SY1048: $i] :
( ~ ( eiw_di @ SY1048 @ SY1047 )
| ! [SY1049: mworld] :
( ~ ( mrel @ SY1047 @ SY1049 )
| ~ ( ~ ( mrel @ SY1049 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) )
| ~ ~ ( qmltpeq @ SY1044 @ SY1046 @ ( sK15_SY656 @ SY1049 @ SY1048 @ SY1047 @ SY1046 @ SY1045 @ SY1044 @ SV7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1049 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY1048 @ SY1044 ) @ ( set_intersection2 @ SY1048 @ SY1046 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( eiw_di @ SY1051 @ SV8 )
| ! [SY1052: mworld] :
( ~ ( mrel @ SV8 @ SY1052 )
| ! [SY1053: $i] :
( ~ ( eiw_di @ SY1053 @ SY1052 )
| ! [SY1054: mworld] :
( ~ ( mrel @ SY1052 @ SY1054 )
| ~ ( ~ ( mrel @ SY1054 @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SY1051 @ ( singleton @ SY1053 ) ) @ ( singleton @ SY1053 ) @ ( sK7_SY103 @ SY1054 @ SY1053 @ SY1052 @ SY1051 @ SV8 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1054 @ SX5 )
| ( in @ SY1053 @ SY1051 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY1056: $i] :
( ~ ( eiw_di @ SY1056 @ SV9 )
| ! [SY1057: mworld] :
( ~ ( mrel @ SV9 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( eiw_di @ SY1058 @ SY1057 )
| ! [SY1059: mworld] :
( ~ ( mrel @ SY1057 @ SY1059 )
| ! [SY1060: $i] :
( ~ ( eiw_di @ SY1060 @ SY1059 )
| ! [SY1061: mworld] :
( ~ ( mrel @ SY1059 @ SY1061 )
| ~ ( ~ ( mrel @ SY1061 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( qmltpeq @ SY1056 @ SY1058 @ ( sK13_SY487 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1061 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) )
| ~ ~ ( in @ SY1056 @ SY1060 @ ( sK12_SY488 @ SY1061 @ SY1060 @ SY1059 @ SY1058 @ SY1057 @ SY1056 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1061 @ SX7 )
| ( in @ SY1058 @ SY1060 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( eiw_di @ SY1063 @ SV10 )
| ! [SY1064: mworld] :
( ~ ( mrel @ SV10 @ SY1064 )
| ! [SY1065: $i] :
( ~ ( eiw_di @ SY1065 @ SY1064 )
| ! [SY1066: mworld] :
( ~ ( mrel @ SY1064 @ SY1066 )
| ~ ( ~ ( mrel @ SY1066 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1063 @ SY1065 @ ( sK9_SY179 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) )
| ! [SY1067: mworld] :
( ~ ( mrel @ SY1066 @ SY1067 )
| ~ ( ~ ( mrel @ SY1067 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) )
| ~ ~ ( in @ SY1065 @ SY1063 @ ( sK8_SY181 @ SY1067 @ SY1066 @ SY1065 @ SY1064 @ SY1063 @ SV10 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( eiw_di @ SY1068 @ SV11 )
| ! [SY1069: mworld] :
( ~ ( mrel @ SV11 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( eiw_di @ SY1070 @ SY1069 )
| ! [SY1071: mworld] :
( ~ ( mrel @ SY1069 @ SY1071 )
| ~ ( ~ ( mrel @ SY1071 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) )
| ~ ~ ( qmltpeq @ SY1068 @ SY1070 @ ( sK14_SY566 @ SY1071 @ SY1070 @ SY1069 @ SY1068 @ SV11 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1071 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1068 ) @ ( singleton @ SY1070 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SY1073: $i] :
( ~ ( eiw_di @ SY1073 @ SV12 )
| ! [SY1074: mworld] :
( ~ ( mrel @ SV12 @ SY1074 )
| ! [SY1075: $i] :
( ~ ( eiw_di @ SY1075 @ SY1074 )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ! [SY1077: $i] :
( ~ ( eiw_di @ SY1077 @ SY1076 )
| ! [SY1078: mworld] :
( ~ ( mrel @ SY1076 @ SY1078 )
| ~ ( ~ ( mrel @ SY1078 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1073 @ SY1075 @ ( sK18_SY869 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1078 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1075 @ SY1077 @ ( sK17_SY844 @ SY1078 @ SY1077 @ SY1076 @ SY1075 @ SY1074 @ SY1073 @ SV12 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1078 @ SX7 )
| ( qmltpeq @ SY1073 @ SY1077 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV1: mworld,SV13: $i] :
( ( ( ~ ( eiw_di @ SV13 @ SV1 )
| ! [SY1080: mworld] :
( ~ ( mrel @ SV1 @ SY1080 )
| ( qmltpeq @ SV13 @ SV13 @ SY1080 ) ) )
= $true )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV2: mworld,SV14: $i] :
( ( ( ~ ( eiw_di @ SV14 @ SV2 )
| ! [SY1081: mworld] :
( ~ ( mrel @ SV2 @ SY1081 )
| ! [SY1082: $i] :
( ~ ( eiw_di @ SY1082 @ SY1081 )
| ! [SY1083: mworld] :
( ~ ( mrel @ SY1081 @ SY1083 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1082 ) @ ( set_intersection2 @ SY1082 @ SV14 ) @ SY1083 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV3: mworld,SV15: $i] :
( ( ( ~ ( eiw_di @ SV15 @ SV3 )
| ! [SY1084: mworld] :
( ~ ( mrel @ SV3 @ SY1084 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1084 )
| ! [SY1086: mworld] :
( ~ ( mrel @ SY1084 @ SY1086 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1086 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV4: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ SV4 )
| ! [SY1087: mworld] :
( ~ ( mrel @ SV4 @ SY1087 )
| ! [SY1088: $i] :
( ~ ( eiw_di @ SY1088 @ SY1087 )
| ! [SY1089: mworld] :
( ~ ( mrel @ SY1087 @ SY1089 )
| ~ ( ~ ( mrel @ SY1089 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1088 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SY1088 @ SV16 @ SY1090 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
( ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 )
| ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV5: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV5 )
| ! [SY1091: mworld] :
( ~ ( mrel @ SV5 @ SY1091 )
| ! [SY1092: $i] :
( ~ ( eiw_di @ SY1092 @ SY1091 )
| ! [SY1093: mworld] :
( ~ ( mrel @ SY1091 @ SY1093 )
| ! [SY1094: $i] :
( ~ ( eiw_di @ SY1094 @ SY1093 )
| ! [SY1095: mworld] :
( ~ ( mrel @ SY1093 @ SY1095 )
| ~ ( ~ ( mrel @ SY1095 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1092 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1095 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1094 @ SV17 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1095 @ SX7 )
| ( in @ SY1094 @ SY1092 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV6: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV6 )
| ! [SY1097: mworld] :
( ~ ( mrel @ SV6 @ SY1097 )
| ! [SY1098: $i] :
( ~ ( eiw_di @ SY1098 @ SY1097 )
| ! [SY1099: mworld] :
( ~ ( mrel @ SY1097 @ SY1099 )
| ! [SY1100: $i] :
( ~ ( eiw_di @ SY1100 @ SY1099 )
| ! [SY1101: mworld] :
( ~ ( mrel @ SY1099 @ SY1101 )
| ~ ( ~ ( mrel @ SY1101 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1098 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1101 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1100 ) @ ( set_intersection2 @ SY1098 @ SY1100 ) @ SY1102 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV7: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV7 )
| ! [SY1103: mworld] :
( ~ ( mrel @ SV7 @ SY1103 )
| ! [SY1104: $i] :
( ~ ( eiw_di @ SY1104 @ SY1103 )
| ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ! [SY1106: $i] :
( ~ ( eiw_di @ SY1106 @ SY1105 )
| ! [SY1107: mworld] :
( ~ ( mrel @ SY1105 @ SY1107 )
| ~ ( ~ ( mrel @ SY1107 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1104 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1107 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1106 @ SV19 ) @ ( set_intersection2 @ SY1106 @ SY1104 ) @ SY1108 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV8: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV8 )
| ! [SY1109: mworld] :
( ~ ( mrel @ SV8 @ SY1109 )
| ! [SY1110: $i] :
( ~ ( eiw_di @ SY1110 @ SY1109 )
| ! [SY1111: mworld] :
( ~ ( mrel @ SY1109 @ SY1111 )
| ~ ( ~ ( mrel @ SY1111 @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1110 ) ) @ ( singleton @ SY1110 ) @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1111 @ SY1112 )
| ( in @ SY1110 @ SV20 @ SY1112 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV9: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV9 )
| ! [SY1113: mworld] :
( ~ ( mrel @ SV9 @ SY1113 )
| ! [SY1114: $i] :
( ~ ( eiw_di @ SY1114 @ SY1113 )
| ! [SY1115: mworld] :
( ~ ( mrel @ SY1113 @ SY1115 )
| ! [SY1116: $i] :
( ~ ( eiw_di @ SY1116 @ SY1115 )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ~ ( ~ ( mrel @ SY1117 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1114 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1117 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1116 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1117 @ SX7 )
| ( in @ SY1114 @ SY1116 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV10: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV10 )
| ! [SY1119: mworld] :
( ~ ( mrel @ SV10 @ SY1119 )
| ! [SY1120: $i] :
( ~ ( eiw_di @ SY1120 @ SY1119 )
| ! [SY1121: mworld] :
( ~ ( mrel @ SY1119 @ SY1121 )
| ~ ( ~ ( mrel @ SY1121 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1120 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) )
| ! [SY1122: mworld] :
( ~ ( mrel @ SY1121 @ SY1122 )
| ~ ( ~ ( mrel @ SY1122 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1120 @ SV22 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV11: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV11 )
| ! [SY1123: mworld] :
( ~ ( mrel @ SV11 @ SY1123 )
| ! [SY1124: $i] :
( ~ ( eiw_di @ SY1124 @ SY1123 )
| ! [SY1125: mworld] :
( ~ ( mrel @ SY1123 @ SY1125 )
| ~ ( ~ ( mrel @ SY1125 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1124 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1125 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1124 ) @ SY1126 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV12: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV12 )
| ! [SY1127: mworld] :
( ~ ( mrel @ SV12 @ SY1127 )
| ! [SY1128: $i] :
( ~ ( eiw_di @ SY1128 @ SY1127 )
| ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ! [SY1130: $i] :
( ~ ( eiw_di @ SY1130 @ SY1129 )
| ! [SY1131: mworld] :
( ~ ( mrel @ SY1129 @ SY1131 )
| ~ ( ~ ( mrel @ SY1131 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1128 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1131 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1128 @ SY1130 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1130 @ SY1132 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV1: mworld,SV13: $i] :
( ( ( ~ ( eiw_di @ SV13 @ SV1 ) )
= $true )
| ( ( ! [SY1080: mworld] :
( ~ ( mrel @ SV1 @ SY1080 )
| ( qmltpeq @ SV13 @ SV13 @ SY1080 ) ) )
= $true )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV2: mworld,SV14: $i] :
( ( ( ~ ( eiw_di @ SV14 @ SV2 ) )
= $true )
| ( ( ! [SY1081: mworld] :
( ~ ( mrel @ SV2 @ SY1081 )
| ! [SY1082: $i] :
( ~ ( eiw_di @ SY1082 @ SY1081 )
| ! [SY1083: mworld] :
( ~ ( mrel @ SY1081 @ SY1083 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1082 ) @ ( set_intersection2 @ SY1082 @ SV14 ) @ SY1083 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV3: mworld,SV15: $i] :
( ( ( ~ ( eiw_di @ SV15 @ SV3 ) )
= $true )
| ( ( ! [SY1084: mworld] :
( ~ ( mrel @ SV3 @ SY1084 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1084 )
| ! [SY1086: mworld] :
( ~ ( mrel @ SY1084 @ SY1086 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1086 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV4: mworld,SV16: $i] :
( ( ( ~ ( eiw_di @ SV16 @ SV4 ) )
= $true )
| ( ( ! [SY1087: mworld] :
( ~ ( mrel @ SV4 @ SY1087 )
| ! [SY1088: $i] :
( ~ ( eiw_di @ SY1088 @ SY1087 )
| ! [SY1089: mworld] :
( ~ ( mrel @ SY1087 @ SY1089 )
| ~ ( ~ ( mrel @ SY1089 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1088 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SY1088 @ SV16 @ SY1090 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
( ( ~ ( mrel @ sK1_SY52 @ sK3_SY1001 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(133,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV5: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1091: mworld] :
( ~ ( mrel @ SV5 @ SY1091 )
| ! [SY1092: $i] :
( ~ ( eiw_di @ SY1092 @ SY1091 )
| ! [SY1093: mworld] :
( ~ ( mrel @ SY1091 @ SY1093 )
| ! [SY1094: $i] :
( ~ ( eiw_di @ SY1094 @ SY1093 )
| ! [SY1095: mworld] :
( ~ ( mrel @ SY1093 @ SY1095 )
| ~ ( ~ ( mrel @ SY1095 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1092 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1095 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1094 @ SV17 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1095 @ SX7 )
| ( in @ SY1094 @ SY1092 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV6: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV6 ) )
= $true )
| ( ( ! [SY1097: mworld] :
( ~ ( mrel @ SV6 @ SY1097 )
| ! [SY1098: $i] :
( ~ ( eiw_di @ SY1098 @ SY1097 )
| ! [SY1099: mworld] :
( ~ ( mrel @ SY1097 @ SY1099 )
| ! [SY1100: $i] :
( ~ ( eiw_di @ SY1100 @ SY1099 )
| ! [SY1101: mworld] :
( ~ ( mrel @ SY1099 @ SY1101 )
| ~ ( ~ ( mrel @ SY1101 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1098 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1101 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1100 ) @ ( set_intersection2 @ SY1098 @ SY1100 ) @ SY1102 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV7: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV7 ) )
= $true )
| ( ( ! [SY1103: mworld] :
( ~ ( mrel @ SV7 @ SY1103 )
| ! [SY1104: $i] :
( ~ ( eiw_di @ SY1104 @ SY1103 )
| ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ! [SY1106: $i] :
( ~ ( eiw_di @ SY1106 @ SY1105 )
| ! [SY1107: mworld] :
( ~ ( mrel @ SY1105 @ SY1107 )
| ~ ( ~ ( mrel @ SY1107 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1104 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1107 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1106 @ SV19 ) @ ( set_intersection2 @ SY1106 @ SY1104 ) @ SY1108 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV8: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV8 ) )
= $true )
| ( ( ! [SY1109: mworld] :
( ~ ( mrel @ SV8 @ SY1109 )
| ! [SY1110: $i] :
( ~ ( eiw_di @ SY1110 @ SY1109 )
| ! [SY1111: mworld] :
( ~ ( mrel @ SY1109 @ SY1111 )
| ~ ( ~ ( mrel @ SY1111 @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1110 ) ) @ ( singleton @ SY1110 ) @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1111 @ SY1112 )
| ( in @ SY1110 @ SV20 @ SY1112 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV9: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1113: mworld] :
( ~ ( mrel @ SV9 @ SY1113 )
| ! [SY1114: $i] :
( ~ ( eiw_di @ SY1114 @ SY1113 )
| ! [SY1115: mworld] :
( ~ ( mrel @ SY1113 @ SY1115 )
| ! [SY1116: $i] :
( ~ ( eiw_di @ SY1116 @ SY1115 )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ~ ( ~ ( mrel @ SY1117 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1114 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1117 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1116 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1117 @ SX7 )
| ( in @ SY1114 @ SY1116 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV10: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV10 ) )
= $true )
| ( ( ! [SY1119: mworld] :
( ~ ( mrel @ SV10 @ SY1119 )
| ! [SY1120: $i] :
( ~ ( eiw_di @ SY1120 @ SY1119 )
| ! [SY1121: mworld] :
( ~ ( mrel @ SY1119 @ SY1121 )
| ~ ( ~ ( mrel @ SY1121 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1120 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) )
| ! [SY1122: mworld] :
( ~ ( mrel @ SY1121 @ SY1122 )
| ~ ( ~ ( mrel @ SY1122 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1120 @ SV22 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(140,plain,
! [SV11: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV11 ) )
= $true )
| ( ( ! [SY1123: mworld] :
( ~ ( mrel @ SV11 @ SY1123 )
| ! [SY1124: $i] :
( ~ ( eiw_di @ SY1124 @ SY1123 )
| ! [SY1125: mworld] :
( ~ ( mrel @ SY1123 @ SY1125 )
| ~ ( ~ ( mrel @ SY1125 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1124 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1125 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1124 ) @ SY1126 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(141,plain,
! [SV12: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1127: mworld] :
( ~ ( mrel @ SV12 @ SY1127 )
| ! [SY1128: $i] :
( ~ ( eiw_di @ SY1128 @ SY1127 )
| ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ! [SY1130: $i] :
( ~ ( eiw_di @ SY1130 @ SY1129 )
| ! [SY1131: mworld] :
( ~ ( mrel @ SY1129 @ SY1131 )
| ~ ( ~ ( mrel @ SY1131 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1128 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1131 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1128 @ SY1130 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1130 @ SY1132 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV1: mworld,SV13: $i] :
( ( ( eiw_di @ SV13 @ SV1 )
= $false )
| ( ( ! [SY1080: mworld] :
( ~ ( mrel @ SV1 @ SY1080 )
| ( qmltpeq @ SV13 @ SV13 @ SY1080 ) ) )
= $true )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(143,plain,
! [SV2: mworld,SV14: $i] :
( ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( ! [SY1081: mworld] :
( ~ ( mrel @ SV2 @ SY1081 )
| ! [SY1082: $i] :
( ~ ( eiw_di @ SY1082 @ SY1081 )
| ! [SY1083: mworld] :
( ~ ( mrel @ SY1081 @ SY1083 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1082 ) @ ( set_intersection2 @ SY1082 @ SV14 ) @ SY1083 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(144,plain,
! [SV3: mworld,SV15: $i] :
( ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( ! [SY1084: mworld] :
( ~ ( mrel @ SV3 @ SY1084 )
| ! [SY230: $i] :
~ ( eiw_di @ SY230 @ SY1084 )
| ! [SY1086: mworld] :
( ~ ( mrel @ SY1084 @ SY1086 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1086 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(145,plain,
! [SV4: mworld,SV16: $i] :
( ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( ! [SY1087: mworld] :
( ~ ( mrel @ SV4 @ SY1087 )
| ! [SY1088: $i] :
( ~ ( eiw_di @ SY1088 @ SY1087 )
| ! [SY1089: mworld] :
( ~ ( mrel @ SY1087 @ SY1089 )
| ~ ( ~ ( mrel @ SY1089 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1088 @ ( sK19_SY948 @ SY1089 @ SY1088 @ SY1087 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SY1088 @ SV16 @ SY1090 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(146,plain,
( ( mrel @ sK1_SY52 @ sK3_SY1001 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(147,plain,
( ( ~ ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(148,plain,
! [SV5: mworld,SV17: $i] :
( ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( ! [SY1091: mworld] :
( ~ ( mrel @ SV5 @ SY1091 )
| ! [SY1092: $i] :
( ~ ( eiw_di @ SY1092 @ SY1091 )
| ! [SY1093: mworld] :
( ~ ( mrel @ SY1091 @ SY1093 )
| ! [SY1094: $i] :
( ~ ( eiw_di @ SY1094 @ SY1093 )
| ! [SY1095: mworld] :
( ~ ( mrel @ SY1093 @ SY1095 )
| ~ ( ~ ( mrel @ SY1095 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1092 @ ( sK11_SY367 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1095 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1094 @ SV17 @ ( sK10_SY368 @ SY1095 @ SY1094 @ SY1093 @ SY1092 @ SY1091 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1095 @ SX7 )
| ( in @ SY1094 @ SY1092 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(149,plain,
! [SV6: mworld,SV18: $i] :
( ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( ! [SY1097: mworld] :
( ~ ( mrel @ SV6 @ SY1097 )
| ! [SY1098: $i] :
( ~ ( eiw_di @ SY1098 @ SY1097 )
| ! [SY1099: mworld] :
( ~ ( mrel @ SY1097 @ SY1099 )
| ! [SY1100: $i] :
( ~ ( eiw_di @ SY1100 @ SY1099 )
| ! [SY1101: mworld] :
( ~ ( mrel @ SY1099 @ SY1101 )
| ~ ( ~ ( mrel @ SY1101 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1098 @ ( sK16_SY754 @ SY1101 @ SY1100 @ SY1099 @ SY1098 @ SY1097 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1101 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1100 ) @ ( set_intersection2 @ SY1098 @ SY1100 ) @ SY1102 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(150,plain,
! [SV7: mworld,SV19: $i] :
( ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( ! [SY1103: mworld] :
( ~ ( mrel @ SV7 @ SY1103 )
| ! [SY1104: $i] :
( ~ ( eiw_di @ SY1104 @ SY1103 )
| ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ! [SY1106: $i] :
( ~ ( eiw_di @ SY1106 @ SY1105 )
| ! [SY1107: mworld] :
( ~ ( mrel @ SY1105 @ SY1107 )
| ~ ( ~ ( mrel @ SY1107 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1104 @ ( sK15_SY656 @ SY1107 @ SY1106 @ SY1105 @ SY1104 @ SY1103 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1107 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1106 @ SV19 ) @ ( set_intersection2 @ SY1106 @ SY1104 ) @ SY1108 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(151,plain,
! [SV8: mworld,SV20: $i] :
( ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( ! [SY1109: mworld] :
( ~ ( mrel @ SV8 @ SY1109 )
| ! [SY1110: $i] :
( ~ ( eiw_di @ SY1110 @ SY1109 )
| ! [SY1111: mworld] :
( ~ ( mrel @ SY1109 @ SY1111 )
| ~ ( ~ ( mrel @ SY1111 @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1110 ) ) @ ( singleton @ SY1110 ) @ ( sK7_SY103 @ SY1111 @ SY1110 @ SY1109 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1111 @ SY1112 )
| ( in @ SY1110 @ SV20 @ SY1112 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(152,plain,
! [SV9: mworld,SV21: $i] :
( ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( ! [SY1113: mworld] :
( ~ ( mrel @ SV9 @ SY1113 )
| ! [SY1114: $i] :
( ~ ( eiw_di @ SY1114 @ SY1113 )
| ! [SY1115: mworld] :
( ~ ( mrel @ SY1113 @ SY1115 )
| ! [SY1116: $i] :
( ~ ( eiw_di @ SY1116 @ SY1115 )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ~ ( ~ ( mrel @ SY1117 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1114 @ ( sK13_SY487 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1117 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1116 @ ( sK12_SY488 @ SY1117 @ SY1116 @ SY1115 @ SY1114 @ SY1113 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1117 @ SX7 )
| ( in @ SY1114 @ SY1116 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(153,plain,
! [SV10: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( ! [SY1119: mworld] :
( ~ ( mrel @ SV10 @ SY1119 )
| ! [SY1120: $i] :
( ~ ( eiw_di @ SY1120 @ SY1119 )
| ! [SY1121: mworld] :
( ~ ( mrel @ SY1119 @ SY1121 )
| ~ ( ~ ( mrel @ SY1121 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1120 @ ( sK9_SY179 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) )
| ! [SY1122: mworld] :
( ~ ( mrel @ SY1121 @ SY1122 )
| ~ ( ~ ( mrel @ SY1122 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1120 @ SV22 @ ( sK8_SY181 @ SY1122 @ SY1121 @ SY1120 @ SY1119 @ SV22 @ SV10 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(154,plain,
! [SV11: mworld,SV23: $i] :
( ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( ! [SY1123: mworld] :
( ~ ( mrel @ SV11 @ SY1123 )
| ! [SY1124: $i] :
( ~ ( eiw_di @ SY1124 @ SY1123 )
| ! [SY1125: mworld] :
( ~ ( mrel @ SY1123 @ SY1125 )
| ~ ( ~ ( mrel @ SY1125 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1124 @ ( sK14_SY566 @ SY1125 @ SY1124 @ SY1123 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1125 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1124 ) @ SY1126 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(155,plain,
! [SV12: mworld,SV24: $i] :
( ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( ! [SY1127: mworld] :
( ~ ( mrel @ SV12 @ SY1127 )
| ! [SY1128: $i] :
( ~ ( eiw_di @ SY1128 @ SY1127 )
| ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ! [SY1130: $i] :
( ~ ( eiw_di @ SY1130 @ SY1129 )
| ! [SY1131: mworld] :
( ~ ( mrel @ SY1129 @ SY1131 )
| ~ ( ~ ( mrel @ SY1131 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1128 @ ( sK18_SY869 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1131 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1128 @ SY1130 @ ( sK17_SY844 @ SY1131 @ SY1130 @ SY1129 @ SY1128 @ SY1127 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1130 @ SY1132 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(156,plain,
! [SV13: $i,SV25: mworld,SV1: mworld] :
( ( ( ~ ( mrel @ SV1 @ SV25 )
| ( qmltpeq @ SV13 @ SV13 @ SV25 ) )
= $true )
| ( ( eiw_di @ SV13 @ SV1 )
= $false )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV14: $i,SV26: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV26 )
| ! [SY1133: $i] :
( ~ ( eiw_di @ SY1133 @ SV26 )
| ! [SY1134: mworld] :
( ~ ( mrel @ SV26 @ SY1134 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1133 ) @ ( set_intersection2 @ SY1133 @ SV14 ) @ SY1134 ) ) ) )
= $true )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV15: $i,SV27: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV27 )
| ! [SY1135: $i] :
~ ( eiw_di @ SY1135 @ SV27 )
| ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(159,plain,
! [SV16: $i,SV28: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV28 )
| ! [SY1137: $i] :
( ~ ( eiw_di @ SY1137 @ SV28 )
| ! [SY1138: mworld] :
( ~ ( mrel @ SV28 @ SY1138 )
| ~ ( ~ ( mrel @ SY1138 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1137 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1138 @ SY1090 )
| ( qmltpeq @ SY1137 @ SV16 @ SY1090 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(160,plain,
( ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
| ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(161,plain,
! [SV17: $i,SV29: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV29 )
| ! [SY1140: $i] :
( ~ ( eiw_di @ SY1140 @ SV29 )
| ! [SY1141: mworld] :
( ~ ( mrel @ SV29 @ SY1141 )
| ! [SY1142: $i] :
( ~ ( eiw_di @ SY1142 @ SY1141 )
| ! [SY1143: mworld] :
( ~ ( mrel @ SY1141 @ SY1143 )
| ~ ( ~ ( mrel @ SY1143 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1140 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1143 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1142 @ SV17 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1143 @ SX7 )
| ( in @ SY1142 @ SY1140 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(162,plain,
! [SV18: $i,SV30: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV30 )
| ! [SY1145: $i] :
( ~ ( eiw_di @ SY1145 @ SV30 )
| ! [SY1146: mworld] :
( ~ ( mrel @ SV30 @ SY1146 )
| ! [SY1147: $i] :
( ~ ( eiw_di @ SY1147 @ SY1146 )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1146 @ SY1148 )
| ~ ( ~ ( mrel @ SY1148 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1145 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1148 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1147 ) @ ( set_intersection2 @ SY1145 @ SY1147 ) @ SY1102 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(163,plain,
! [SV19: $i,SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV31 )
| ! [SY1150: $i] :
( ~ ( eiw_di @ SY1150 @ SV31 )
| ! [SY1151: mworld] :
( ~ ( mrel @ SV31 @ SY1151 )
| ! [SY1152: $i] :
( ~ ( eiw_di @ SY1152 @ SY1151 )
| ! [SY1153: mworld] :
( ~ ( mrel @ SY1151 @ SY1153 )
| ~ ( ~ ( mrel @ SY1153 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1150 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1153 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1152 @ SV19 ) @ ( set_intersection2 @ SY1152 @ SY1150 ) @ SY1108 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(164,plain,
! [SV20: $i,SV32: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV32 )
| ! [SY1155: $i] :
( ~ ( eiw_di @ SY1155 @ SV32 )
| ! [SY1156: mworld] :
( ~ ( mrel @ SV32 @ SY1156 )
| ~ ( ~ ( mrel @ SY1156 @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1155 ) ) @ ( singleton @ SY1155 ) @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1156 @ SY1112 )
| ( in @ SY1155 @ SV20 @ SY1112 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(165,plain,
! [SV21: $i,SV33: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV33 )
| ! [SY1158: $i] :
( ~ ( eiw_di @ SY1158 @ SV33 )
| ! [SY1159: mworld] :
( ~ ( mrel @ SV33 @ SY1159 )
| ! [SY1160: $i] :
( ~ ( eiw_di @ SY1160 @ SY1159 )
| ! [SY1161: mworld] :
( ~ ( mrel @ SY1159 @ SY1161 )
| ~ ( ~ ( mrel @ SY1161 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1158 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1161 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1160 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1161 @ SX7 )
| ( in @ SY1158 @ SY1160 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(166,plain,
! [SV22: $i,SV34: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV34 )
| ! [SY1163: $i] :
( ~ ( eiw_di @ SY1163 @ SV34 )
| ! [SY1164: mworld] :
( ~ ( mrel @ SV34 @ SY1164 )
| ~ ( ~ ( mrel @ SY1164 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1163 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1165: mworld] :
( ~ ( mrel @ SY1164 @ SY1165 )
| ~ ( ~ ( mrel @ SY1165 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1163 @ SV22 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(167,plain,
! [SV23: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV35 )
| ! [SY1166: $i] :
( ~ ( eiw_di @ SY1166 @ SV35 )
| ! [SY1167: mworld] :
( ~ ( mrel @ SV35 @ SY1167 )
| ~ ( ~ ( mrel @ SY1167 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1166 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1167 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1166 ) @ SY1126 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(168,plain,
! [SV24: $i,SV36: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV36 )
| ! [SY1169: $i] :
( ~ ( eiw_di @ SY1169 @ SV36 )
| ! [SY1170: mworld] :
( ~ ( mrel @ SV36 @ SY1170 )
| ! [SY1171: $i] :
( ~ ( eiw_di @ SY1171 @ SY1170 )
| ! [SY1172: mworld] :
( ~ ( mrel @ SY1170 @ SY1172 )
| ~ ( ~ ( mrel @ SY1172 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1169 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1172 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1169 @ SY1171 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1172 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1171 @ SY1132 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(169,plain,
! [SV13: $i,SV25: mworld,SV1: mworld] :
( ( ( ~ ( mrel @ SV1 @ SV25 ) )
= $true )
| ( ( qmltpeq @ SV13 @ SV13 @ SV25 )
= $true )
| ( ( eiw_di @ SV13 @ SV1 )
= $false )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(170,plain,
! [SV14: $i,SV26: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV26 ) )
= $true )
| ( ( ! [SY1133: $i] :
( ~ ( eiw_di @ SY1133 @ SV26 )
| ! [SY1134: mworld] :
( ~ ( mrel @ SV26 @ SY1134 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1133 ) @ ( set_intersection2 @ SY1133 @ SV14 ) @ SY1134 ) ) ) )
= $true )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(171,plain,
! [SV15: $i,SV27: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV27 ) )
= $true )
| ( ( ! [SY1135: $i] :
~ ( eiw_di @ SY1135 @ SV27 )
| ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV16: $i,SV28: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV28 ) )
= $true )
| ( ( ! [SY1137: $i] :
( ~ ( eiw_di @ SY1137 @ SV28 )
| ! [SY1138: mworld] :
( ~ ( mrel @ SV28 @ SY1138 )
| ~ ( ~ ( mrel @ SY1138 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1137 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1138 @ SY1090 )
| ( qmltpeq @ SY1137 @ SV16 @ SY1090 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(173,plain,
( ( ~ ( eiw_di @ sK4_SY1006 @ sK3_SY1001 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(174,plain,
( ( ~ ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(175,plain,
! [SV17: $i,SV29: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV29 ) )
= $true )
| ( ( ! [SY1140: $i] :
( ~ ( eiw_di @ SY1140 @ SV29 )
| ! [SY1141: mworld] :
( ~ ( mrel @ SV29 @ SY1141 )
| ! [SY1142: $i] :
( ~ ( eiw_di @ SY1142 @ SY1141 )
| ! [SY1143: mworld] :
( ~ ( mrel @ SY1141 @ SY1143 )
| ~ ( ~ ( mrel @ SY1143 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1140 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1143 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1142 @ SV17 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1143 @ SX7 )
| ( in @ SY1142 @ SY1140 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(176,plain,
! [SV18: $i,SV30: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV30 ) )
= $true )
| ( ( ! [SY1145: $i] :
( ~ ( eiw_di @ SY1145 @ SV30 )
| ! [SY1146: mworld] :
( ~ ( mrel @ SV30 @ SY1146 )
| ! [SY1147: $i] :
( ~ ( eiw_di @ SY1147 @ SY1146 )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1146 @ SY1148 )
| ~ ( ~ ( mrel @ SY1148 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1145 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1148 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1147 ) @ ( set_intersection2 @ SY1145 @ SY1147 ) @ SY1102 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(177,plain,
! [SV19: $i,SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV31 ) )
= $true )
| ( ( ! [SY1150: $i] :
( ~ ( eiw_di @ SY1150 @ SV31 )
| ! [SY1151: mworld] :
( ~ ( mrel @ SV31 @ SY1151 )
| ! [SY1152: $i] :
( ~ ( eiw_di @ SY1152 @ SY1151 )
| ! [SY1153: mworld] :
( ~ ( mrel @ SY1151 @ SY1153 )
| ~ ( ~ ( mrel @ SY1153 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1150 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1153 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1152 @ SV19 ) @ ( set_intersection2 @ SY1152 @ SY1150 ) @ SY1108 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(178,plain,
! [SV20: $i,SV32: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV32 ) )
= $true )
| ( ( ! [SY1155: $i] :
( ~ ( eiw_di @ SY1155 @ SV32 )
| ! [SY1156: mworld] :
( ~ ( mrel @ SV32 @ SY1156 )
| ~ ( ~ ( mrel @ SY1156 @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1155 ) ) @ ( singleton @ SY1155 ) @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1156 @ SY1112 )
| ( in @ SY1155 @ SV20 @ SY1112 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(179,plain,
! [SV21: $i,SV33: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV33 ) )
= $true )
| ( ( ! [SY1158: $i] :
( ~ ( eiw_di @ SY1158 @ SV33 )
| ! [SY1159: mworld] :
( ~ ( mrel @ SV33 @ SY1159 )
| ! [SY1160: $i] :
( ~ ( eiw_di @ SY1160 @ SY1159 )
| ! [SY1161: mworld] :
( ~ ( mrel @ SY1159 @ SY1161 )
| ~ ( ~ ( mrel @ SY1161 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1158 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1161 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1160 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1161 @ SX7 )
| ( in @ SY1158 @ SY1160 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV22: $i,SV34: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV34 ) )
= $true )
| ( ( ! [SY1163: $i] :
( ~ ( eiw_di @ SY1163 @ SV34 )
| ! [SY1164: mworld] :
( ~ ( mrel @ SV34 @ SY1164 )
| ~ ( ~ ( mrel @ SY1164 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1163 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1165: mworld] :
( ~ ( mrel @ SY1164 @ SY1165 )
| ~ ( ~ ( mrel @ SY1165 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1163 @ SV22 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV23: $i,SV35: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV35 ) )
= $true )
| ( ( ! [SY1166: $i] :
( ~ ( eiw_di @ SY1166 @ SV35 )
| ! [SY1167: mworld] :
( ~ ( mrel @ SV35 @ SY1167 )
| ~ ( ~ ( mrel @ SY1167 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1166 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1167 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1166 ) @ SY1126 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV24: $i,SV36: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV36 ) )
= $true )
| ( ( ! [SY1169: $i] :
( ~ ( eiw_di @ SY1169 @ SV36 )
| ! [SY1170: mworld] :
( ~ ( mrel @ SV36 @ SY1170 )
| ! [SY1171: $i] :
( ~ ( eiw_di @ SY1171 @ SY1170 )
| ! [SY1172: mworld] :
( ~ ( mrel @ SY1170 @ SY1172 )
| ~ ( ~ ( mrel @ SY1172 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1169 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1172 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1169 @ SY1171 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1172 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1171 @ SY1132 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV13: $i,SV25: mworld,SV1: mworld] :
( ( ( mrel @ SV1 @ SV25 )
= $false )
| ( ( qmltpeq @ SV13 @ SV13 @ SV25 )
= $true )
| ( ( eiw_di @ SV13 @ SV1 )
= $false )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV14: $i,SV26: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( ! [SY1133: $i] :
( ~ ( eiw_di @ SY1133 @ SV26 )
| ! [SY1134: mworld] :
( ~ ( mrel @ SV26 @ SY1134 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SY1133 ) @ ( set_intersection2 @ SY1133 @ SV14 ) @ SY1134 ) ) ) )
= $true )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV15: $i,SV27: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( ! [SY1135: $i] :
~ ( eiw_di @ SY1135 @ SV27 )
| ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV16: $i,SV28: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( ! [SY1137: $i] :
( ~ ( eiw_di @ SY1137 @ SV28 )
| ! [SY1138: mworld] :
( ~ ( mrel @ SV28 @ SY1138 )
| ~ ( ~ ( mrel @ SY1138 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SY1137 @ ( sK19_SY948 @ SY1138 @ SY1137 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1090: mworld] :
( ~ ( mrel @ SY1138 @ SY1090 )
| ( qmltpeq @ SY1137 @ SV16 @ SY1090 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(187,plain,
( ( eiw_di @ sK4_SY1006 @ sK3_SY1001 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(188,plain,
( ( ~ ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(189,plain,
! [SV17: $i,SV29: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( ! [SY1140: $i] :
( ~ ( eiw_di @ SY1140 @ SV29 )
| ! [SY1141: mworld] :
( ~ ( mrel @ SV29 @ SY1141 )
| ! [SY1142: $i] :
( ~ ( eiw_di @ SY1142 @ SY1141 )
| ! [SY1143: mworld] :
( ~ ( mrel @ SY1141 @ SY1143 )
| ~ ( ~ ( mrel @ SY1143 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SY1140 @ ( sK11_SY367 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1143 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1142 @ SV17 @ ( sK10_SY368 @ SY1143 @ SY1142 @ SY1141 @ SY1140 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1143 @ SX7 )
| ( in @ SY1142 @ SY1140 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV18: $i,SV30: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( ! [SY1145: $i] :
( ~ ( eiw_di @ SY1145 @ SV30 )
| ! [SY1146: mworld] :
( ~ ( mrel @ SV30 @ SY1146 )
| ! [SY1147: $i] :
( ~ ( eiw_di @ SY1147 @ SY1146 )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1146 @ SY1148 )
| ~ ( ~ ( mrel @ SY1148 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SY1145 @ ( sK16_SY754 @ SY1148 @ SY1147 @ SY1146 @ SY1145 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1102: mworld] :
( ~ ( mrel @ SY1148 @ SY1102 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1147 ) @ ( set_intersection2 @ SY1145 @ SY1147 ) @ SY1102 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV19: $i,SV31: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( ! [SY1150: $i] :
( ~ ( eiw_di @ SY1150 @ SV31 )
| ! [SY1151: mworld] :
( ~ ( mrel @ SV31 @ SY1151 )
| ! [SY1152: $i] :
( ~ ( eiw_di @ SY1152 @ SY1151 )
| ! [SY1153: mworld] :
( ~ ( mrel @ SY1151 @ SY1153 )
| ~ ( ~ ( mrel @ SY1153 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SY1150 @ ( sK15_SY656 @ SY1153 @ SY1152 @ SY1151 @ SY1150 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1108: mworld] :
( ~ ( mrel @ SY1153 @ SY1108 )
| ( qmltpeq @ ( set_intersection2 @ SY1152 @ SV19 ) @ ( set_intersection2 @ SY1152 @ SY1150 ) @ SY1108 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(192,plain,
! [SV20: $i,SV32: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( ! [SY1155: $i] :
( ~ ( eiw_di @ SY1155 @ SV32 )
| ! [SY1156: mworld] :
( ~ ( mrel @ SV32 @ SY1156 )
| ~ ( ~ ( mrel @ SY1156 @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SY1155 ) ) @ ( singleton @ SY1155 ) @ ( sK7_SY103 @ SY1156 @ SY1155 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1112: mworld] :
( ~ ( mrel @ SY1156 @ SY1112 )
| ( in @ SY1155 @ SV20 @ SY1112 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV21: $i,SV33: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( ! [SY1158: $i] :
( ~ ( eiw_di @ SY1158 @ SV33 )
| ! [SY1159: mworld] :
( ~ ( mrel @ SV33 @ SY1159 )
| ! [SY1160: $i] :
( ~ ( eiw_di @ SY1160 @ SY1159 )
| ! [SY1161: mworld] :
( ~ ( mrel @ SY1159 @ SY1161 )
| ~ ( ~ ( mrel @ SY1161 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SY1158 @ ( sK13_SY487 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1161 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1160 @ ( sK12_SY488 @ SY1161 @ SY1160 @ SY1159 @ SY1158 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1161 @ SX7 )
| ( in @ SY1158 @ SY1160 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV22: $i,SV34: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( ! [SY1163: $i] :
( ~ ( eiw_di @ SY1163 @ SV34 )
| ! [SY1164: mworld] :
( ~ ( mrel @ SV34 @ SY1164 )
| ~ ( ~ ( mrel @ SY1164 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SY1163 @ ( sK9_SY179 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1165: mworld] :
( ~ ( mrel @ SY1164 @ SY1165 )
| ~ ( ~ ( mrel @ SY1165 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SY1163 @ SV22 @ ( sK8_SY181 @ SY1165 @ SY1164 @ SY1163 @ SV34 @ SV22 @ SV10 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(195,plain,
! [SV23: $i,SV35: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( ! [SY1166: $i] :
( ~ ( eiw_di @ SY1166 @ SV35 )
| ! [SY1167: mworld] :
( ~ ( mrel @ SV35 @ SY1167 )
| ~ ( ~ ( mrel @ SY1167 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SY1166 @ ( sK14_SY566 @ SY1167 @ SY1166 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1126: mworld] :
( ~ ( mrel @ SY1167 @ SY1126 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SY1166 ) @ SY1126 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV24: $i,SV36: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( ! [SY1169: $i] :
( ~ ( eiw_di @ SY1169 @ SV36 )
| ! [SY1170: mworld] :
( ~ ( mrel @ SV36 @ SY1170 )
| ! [SY1171: $i] :
( ~ ( eiw_di @ SY1171 @ SY1170 )
| ! [SY1172: mworld] :
( ~ ( mrel @ SY1170 @ SY1172 )
| ~ ( ~ ( mrel @ SY1172 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SY1169 @ ( sK18_SY869 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1172 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SY1169 @ SY1171 @ ( sK17_SY844 @ SY1172 @ SY1171 @ SY1170 @ SY1169 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1172 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1171 @ SY1132 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(197,plain,
! [SV2: mworld,SV14: $i,SV26: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV26 )
| ! [SY1174: mworld] :
( ~ ( mrel @ SV26 @ SY1174 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SY1174 ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV3: mworld,SV15: $i,SV27: mworld] :
( ( ( ! [SY1135: $i] :
~ ( eiw_di @ SY1135 @ SV27 ) )
= $true )
| ( ( ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i] :
( ( ( ~ ( eiw_di @ SV38 @ SV28 )
| ! [SY1175: mworld] :
( ~ ( mrel @ SV28 @ SY1175 )
| ~ ( ~ ( mrel @ SY1175 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1176: mworld] :
( ~ ( mrel @ SY1175 @ SY1176 )
| ( qmltpeq @ SV38 @ SV16 @ SY1176 ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(200,plain,
( ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 )
| ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(201,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i] :
( ( ( ~ ( eiw_di @ SV39 @ SV29 )
| ! [SY1177: mworld] :
( ~ ( mrel @ SV29 @ SY1177 )
| ! [SY1178: $i] :
( ~ ( eiw_di @ SY1178 @ SY1177 )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1177 @ SY1179 )
| ~ ( ~ ( mrel @ SY1179 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1179 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1178 @ SV17 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1179 @ SY1180 )
| ( in @ SY1178 @ SV39 @ SY1180 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(202,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i] :
( ( ( ~ ( eiw_di @ SV40 @ SV30 )
| ! [SY1181: mworld] :
( ~ ( mrel @ SV30 @ SY1181 )
| ! [SY1182: $i] :
( ~ ( eiw_di @ SY1182 @ SY1181 )
| ! [SY1183: mworld] :
( ~ ( mrel @ SY1181 @ SY1183 )
| ~ ( ~ ( mrel @ SY1183 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1183 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1182 ) @ ( set_intersection2 @ SV40 @ SY1182 ) @ SY1184 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(203,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i] :
( ( ( ~ ( eiw_di @ SV41 @ SV31 )
| ! [SY1185: mworld] :
( ~ ( mrel @ SV31 @ SY1185 )
| ! [SY1186: $i] :
( ~ ( eiw_di @ SY1186 @ SY1185 )
| ! [SY1187: mworld] :
( ~ ( mrel @ SY1185 @ SY1187 )
| ~ ( ~ ( mrel @ SY1187 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1187 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1186 @ SV19 ) @ ( set_intersection2 @ SY1186 @ SV41 ) @ SY1188 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(204,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i] :
( ( ( ~ ( eiw_di @ SV42 @ SV32 )
| ! [SY1189: mworld] :
( ~ ( mrel @ SV32 @ SY1189 )
| ~ ( ~ ( mrel @ SY1189 @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1190: mworld] :
( ~ ( mrel @ SY1189 @ SY1190 )
| ( in @ SV42 @ SV20 @ SY1190 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(205,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i] :
( ( ( ~ ( eiw_di @ SV43 @ SV33 )
| ! [SY1191: mworld] :
( ~ ( mrel @ SV33 @ SY1191 )
| ! [SY1192: $i] :
( ~ ( eiw_di @ SY1192 @ SY1191 )
| ! [SY1193: mworld] :
( ~ ( mrel @ SY1191 @ SY1193 )
| ~ ( ~ ( mrel @ SY1193 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1193 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1192 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1193 @ SY1194 )
| ( in @ SV43 @ SY1192 @ SY1194 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(206,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i] :
( ( ( ~ ( eiw_di @ SV44 @ SV34 )
| ! [SY1195: mworld] :
( ~ ( mrel @ SV34 @ SY1195 )
| ~ ( ~ ( mrel @ SY1195 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1196: mworld] :
( ~ ( mrel @ SY1195 @ SY1196 )
| ~ ( ~ ( mrel @ SY1196 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(207,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i] :
( ( ( ~ ( eiw_di @ SV45 @ SV35 )
| ! [SY1197: mworld] :
( ~ ( mrel @ SV35 @ SY1197 )
| ~ ( ~ ( mrel @ SY1197 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1198: mworld] :
( ~ ( mrel @ SY1197 @ SY1198 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1198 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(208,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i] :
( ( ( ~ ( eiw_di @ SV46 @ SV36 )
| ! [SY1199: mworld] :
( ~ ( mrel @ SV36 @ SY1199 )
| ! [SY1200: $i] :
( ~ ( eiw_di @ SY1200 @ SY1199 )
| ! [SY1201: mworld] :
( ~ ( mrel @ SY1199 @ SY1201 )
| ~ ( ~ ( mrel @ SY1201 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1201 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1200 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1201 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1200 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(209,plain,
! [SV2: mworld,SV14: $i,SV26: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV26 ) )
= $true )
| ( ( ! [SY1174: mworld] :
( ~ ( mrel @ SV26 @ SY1174 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SY1174 ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(210,plain,
! [SV3: mworld,SV15: $i,SV27: mworld,SV47: $i] :
( ( ( ~ ( eiw_di @ SV47 @ SV27 ) )
= $true )
| ( ( ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(211,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i] :
( ( ( ~ ( eiw_di @ SV38 @ SV28 ) )
= $true )
| ( ( ! [SY1175: mworld] :
( ~ ( mrel @ SV28 @ SY1175 )
| ~ ( ~ ( mrel @ SY1175 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1176: mworld] :
( ~ ( mrel @ SY1175 @ SY1176 )
| ( qmltpeq @ SV38 @ SV16 @ SY1176 ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(212,plain,
( ( ~ ( mrel @ sK3_SY1001 @ sK5_SY1010 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(213,plain,
( ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(214,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i] :
( ( ( ~ ( eiw_di @ SV39 @ SV29 ) )
= $true )
| ( ( ! [SY1177: mworld] :
( ~ ( mrel @ SV29 @ SY1177 )
| ! [SY1178: $i] :
( ~ ( eiw_di @ SY1178 @ SY1177 )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1177 @ SY1179 )
| ~ ( ~ ( mrel @ SY1179 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1179 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1178 @ SV17 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1179 @ SY1180 )
| ( in @ SY1178 @ SV39 @ SY1180 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i] :
( ( ( ~ ( eiw_di @ SV40 @ SV30 ) )
= $true )
| ( ( ! [SY1181: mworld] :
( ~ ( mrel @ SV30 @ SY1181 )
| ! [SY1182: $i] :
( ~ ( eiw_di @ SY1182 @ SY1181 )
| ! [SY1183: mworld] :
( ~ ( mrel @ SY1181 @ SY1183 )
| ~ ( ~ ( mrel @ SY1183 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1183 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1182 ) @ ( set_intersection2 @ SV40 @ SY1182 ) @ SY1184 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i] :
( ( ( ~ ( eiw_di @ SV41 @ SV31 ) )
= $true )
| ( ( ! [SY1185: mworld] :
( ~ ( mrel @ SV31 @ SY1185 )
| ! [SY1186: $i] :
( ~ ( eiw_di @ SY1186 @ SY1185 )
| ! [SY1187: mworld] :
( ~ ( mrel @ SY1185 @ SY1187 )
| ~ ( ~ ( mrel @ SY1187 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1187 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1186 @ SV19 ) @ ( set_intersection2 @ SY1186 @ SV41 ) @ SY1188 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i] :
( ( ( ~ ( eiw_di @ SV42 @ SV32 ) )
= $true )
| ( ( ! [SY1189: mworld] :
( ~ ( mrel @ SV32 @ SY1189 )
| ~ ( ~ ( mrel @ SY1189 @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1190: mworld] :
( ~ ( mrel @ SY1189 @ SY1190 )
| ( in @ SV42 @ SV20 @ SY1190 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i] :
( ( ( ~ ( eiw_di @ SV43 @ SV33 ) )
= $true )
| ( ( ! [SY1191: mworld] :
( ~ ( mrel @ SV33 @ SY1191 )
| ! [SY1192: $i] :
( ~ ( eiw_di @ SY1192 @ SY1191 )
| ! [SY1193: mworld] :
( ~ ( mrel @ SY1191 @ SY1193 )
| ~ ( ~ ( mrel @ SY1193 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1193 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1192 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1193 @ SY1194 )
| ( in @ SV43 @ SY1192 @ SY1194 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(219,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i] :
( ( ( ~ ( eiw_di @ SV44 @ SV34 ) )
= $true )
| ( ( ! [SY1195: mworld] :
( ~ ( mrel @ SV34 @ SY1195 )
| ~ ( ~ ( mrel @ SY1195 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1196: mworld] :
( ~ ( mrel @ SY1195 @ SY1196 )
| ~ ( ~ ( mrel @ SY1196 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(220,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i] :
( ( ( ~ ( eiw_di @ SV45 @ SV35 ) )
= $true )
| ( ( ! [SY1197: mworld] :
( ~ ( mrel @ SV35 @ SY1197 )
| ~ ( ~ ( mrel @ SY1197 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1198: mworld] :
( ~ ( mrel @ SY1197 @ SY1198 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1198 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i] :
( ( ( ~ ( eiw_di @ SV46 @ SV36 ) )
= $true )
| ( ( ! [SY1199: mworld] :
( ~ ( mrel @ SV36 @ SY1199 )
| ! [SY1200: $i] :
( ~ ( eiw_di @ SY1200 @ SY1199 )
| ! [SY1201: mworld] :
( ~ ( mrel @ SY1199 @ SY1201 )
| ~ ( ~ ( mrel @ SY1201 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1201 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1200 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1201 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1200 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV2: mworld,SV14: $i,SV26: mworld,SV37: $i] :
( ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( ! [SY1174: mworld] :
( ~ ( mrel @ SV26 @ SY1174 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SY1174 ) ) )
= $true )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV3: mworld,SV15: $i,SV27: mworld,SV47: $i] :
( ( ( eiw_di @ SV47 @ SV27 )
= $false )
| ( ( ! [SY1136: mworld] :
( ~ ( mrel @ SV27 @ SY1136 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SY1136 ) ) )
= $true )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i] :
( ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( ! [SY1175: mworld] :
( ~ ( mrel @ SV28 @ SY1175 )
| ~ ( ~ ( mrel @ SY1175 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SY1175 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1176: mworld] :
( ~ ( mrel @ SY1175 @ SY1176 )
| ( qmltpeq @ SV38 @ SV16 @ SY1176 ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(225,plain,
( ( mrel @ sK3_SY1001 @ sK5_SY1010 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(226,plain,
( ( ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(227,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i] :
( ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( ! [SY1177: mworld] :
( ~ ( mrel @ SV29 @ SY1177 )
| ! [SY1178: $i] :
( ~ ( eiw_di @ SY1178 @ SY1177 )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1177 @ SY1179 )
| ~ ( ~ ( mrel @ SY1179 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1179 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1178 @ SV17 @ ( sK10_SY368 @ SY1179 @ SY1178 @ SY1177 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1179 @ SY1180 )
| ( in @ SY1178 @ SV39 @ SY1180 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i] :
( ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( ! [SY1181: mworld] :
( ~ ( mrel @ SV30 @ SY1181 )
| ! [SY1182: $i] :
( ~ ( eiw_di @ SY1182 @ SY1181 )
| ! [SY1183: mworld] :
( ~ ( mrel @ SY1181 @ SY1183 )
| ~ ( ~ ( mrel @ SY1183 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1183 @ SY1182 @ SY1181 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1183 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1182 ) @ ( set_intersection2 @ SV40 @ SY1182 ) @ SY1184 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i] :
( ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( ! [SY1185: mworld] :
( ~ ( mrel @ SV31 @ SY1185 )
| ! [SY1186: $i] :
( ~ ( eiw_di @ SY1186 @ SY1185 )
| ! [SY1187: mworld] :
( ~ ( mrel @ SY1185 @ SY1187 )
| ~ ( ~ ( mrel @ SY1187 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1187 @ SY1186 @ SY1185 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1187 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1186 @ SV19 ) @ ( set_intersection2 @ SY1186 @ SV41 ) @ SY1188 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i] :
( ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( ! [SY1189: mworld] :
( ~ ( mrel @ SV32 @ SY1189 )
| ~ ( ~ ( mrel @ SY1189 @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SY1189 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1190: mworld] :
( ~ ( mrel @ SY1189 @ SY1190 )
| ( in @ SV42 @ SV20 @ SY1190 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i] :
( ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( ! [SY1191: mworld] :
( ~ ( mrel @ SV33 @ SY1191 )
| ! [SY1192: $i] :
( ~ ( eiw_di @ SY1192 @ SY1191 )
| ! [SY1193: mworld] :
( ~ ( mrel @ SY1191 @ SY1193 )
| ~ ( ~ ( mrel @ SY1193 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1193 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1192 @ ( sK12_SY488 @ SY1193 @ SY1192 @ SY1191 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1193 @ SY1194 )
| ( in @ SV43 @ SY1192 @ SY1194 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(232,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i] :
( ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( ! [SY1195: mworld] :
( ~ ( mrel @ SV34 @ SY1195 )
| ~ ( ~ ( mrel @ SY1195 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1196: mworld] :
( ~ ( mrel @ SY1195 @ SY1196 )
| ~ ( ~ ( mrel @ SY1196 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1196 @ SY1195 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i] :
( ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( ! [SY1197: mworld] :
( ~ ( mrel @ SV35 @ SY1197 )
| ~ ( ~ ( mrel @ SY1197 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SY1197 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1198: mworld] :
( ~ ( mrel @ SY1197 @ SY1198 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1198 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(234,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i] :
( ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( ! [SY1199: mworld] :
( ~ ( mrel @ SV36 @ SY1199 )
| ! [SY1200: $i] :
( ~ ( eiw_di @ SY1200 @ SY1199 )
| ! [SY1201: mworld] :
( ~ ( mrel @ SY1199 @ SY1201 )
| ~ ( ~ ( mrel @ SY1201 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1201 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1200 @ ( sK17_SY844 @ SY1201 @ SY1200 @ SY1199 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1201 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1200 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(235,plain,
! [SV2: mworld,SV37: $i,SV14: $i,SV48: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV48 )
| ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SV48 ) )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(236,plain,
! [SV3: mworld,SV47: $i,SV15: $i,SV49: mworld,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ SV49 )
| ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SV49 ) )
= $true )
| ( ( eiw_di @ SV47 @ SV27 )
= $false )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(237,plain,
! [SV4: mworld,SV16: $i,SV38: $i,SV50: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV50 )
| ~ ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(238,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) )
| ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV5: mworld,SV17: $i,SV39: $i,SV51: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV51 )
| ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV51 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV51 @ SY1205 )
| ~ ( ~ ( mrel @ SY1205 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1205 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1204 @ SV17 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1205 @ SY1180 )
| ( in @ SY1204 @ SV39 @ SY1180 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV6: mworld,SV18: $i,SV40: $i,SV52: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV52 )
| ! [SY1207: $i] :
( ~ ( eiw_di @ SY1207 @ SV52 )
| ! [SY1208: mworld] :
( ~ ( mrel @ SV52 @ SY1208 )
| ~ ( ~ ( mrel @ SY1208 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1208 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1207 ) @ ( set_intersection2 @ SV40 @ SY1207 ) @ SY1184 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV7: mworld,SV19: $i,SV41: $i,SV53: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV53 )
| ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV53 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV53 @ SY1211 )
| ~ ( ~ ( mrel @ SY1211 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1211 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1210 @ SV19 ) @ ( set_intersection2 @ SY1210 @ SV41 ) @ SY1188 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV8: mworld,SV20: $i,SV42: $i,SV54: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV54 )
| ~ ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV9: mworld,SV21: $i,SV43: $i,SV55: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV55 )
| ! [SY1214: $i] :
( ~ ( eiw_di @ SY1214 @ SV55 )
| ! [SY1215: mworld] :
( ~ ( mrel @ SV55 @ SY1215 )
| ~ ( ~ ( mrel @ SY1215 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1215 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1214 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1215 @ SY1194 )
| ( in @ SV43 @ SY1214 @ SY1194 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV10: mworld,SV22: $i,SV44: $i,SV56: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV56 )
| ~ ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV11: mworld,SV23: $i,SV45: $i,SV57: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV57 )
| ~ ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV12: mworld,SV24: $i,SV46: $i,SV58: mworld,SV36: mworld] :
( ( ( ~ ( mrel @ SV36 @ SV58 )
| ! [SY1219: $i] :
( ~ ( eiw_di @ SY1219 @ SV58 )
| ! [SY1220: mworld] :
( ~ ( mrel @ SV58 @ SY1220 )
| ~ ( ~ ( mrel @ SY1220 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1220 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1219 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1220 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1219 @ SY1132 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV2: mworld,SV37: $i,SV14: $i,SV48: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV48 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SV48 )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV3: mworld,SV47: $i,SV15: $i,SV49: mworld,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ SV49 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SV49 )
= $true )
| ( ( eiw_di @ SV47 @ SV27 )
= $false )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV4: mworld,SV16: $i,SV38: $i,SV50: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV50 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(250,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(251,plain,
( ( ~ ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(252,plain,
! [SV5: mworld,SV17: $i,SV39: $i,SV51: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV51 ) )
= $true )
| ( ( ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV51 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV51 @ SY1205 )
| ~ ( ~ ( mrel @ SY1205 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1205 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1204 @ SV17 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1205 @ SY1180 )
| ( in @ SY1204 @ SV39 @ SY1180 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(253,plain,
! [SV6: mworld,SV18: $i,SV40: $i,SV52: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV52 ) )
= $true )
| ( ( ! [SY1207: $i] :
( ~ ( eiw_di @ SY1207 @ SV52 )
| ! [SY1208: mworld] :
( ~ ( mrel @ SV52 @ SY1208 )
| ~ ( ~ ( mrel @ SY1208 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1208 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1207 ) @ ( set_intersection2 @ SV40 @ SY1207 ) @ SY1184 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(254,plain,
! [SV7: mworld,SV19: $i,SV41: $i,SV53: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV53 ) )
= $true )
| ( ( ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV53 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV53 @ SY1211 )
| ~ ( ~ ( mrel @ SY1211 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1211 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1210 @ SV19 ) @ ( set_intersection2 @ SY1210 @ SV41 ) @ SY1188 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(255,plain,
! [SV8: mworld,SV20: $i,SV42: $i,SV54: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(256,plain,
! [SV9: mworld,SV21: $i,SV43: $i,SV55: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV55 ) )
= $true )
| ( ( ! [SY1214: $i] :
( ~ ( eiw_di @ SY1214 @ SV55 )
| ! [SY1215: mworld] :
( ~ ( mrel @ SV55 @ SY1215 )
| ~ ( ~ ( mrel @ SY1215 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1215 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1214 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1215 @ SY1194 )
| ( in @ SV43 @ SY1214 @ SY1194 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(257,plain,
! [SV10: mworld,SV22: $i,SV44: $i,SV56: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(258,plain,
! [SV11: mworld,SV23: $i,SV45: $i,SV57: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV57 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(259,plain,
! [SV12: mworld,SV24: $i,SV46: $i,SV58: mworld,SV36: mworld] :
( ( ( ~ ( mrel @ SV36 @ SV58 ) )
= $true )
| ( ( ! [SY1219: $i] :
( ~ ( eiw_di @ SY1219 @ SV58 )
| ! [SY1220: mworld] :
( ~ ( mrel @ SV58 @ SY1220 )
| ~ ( ~ ( mrel @ SY1220 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1220 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1219 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1220 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1219 @ SY1132 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(260,plain,
! [SV2: mworld,SV37: $i,SV14: $i,SV48: mworld,SV26: mworld] :
( ( ( mrel @ SV26 @ SV48 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV14 @ SV37 ) @ ( set_intersection2 @ SV37 @ SV14 ) @ SV48 )
= $true )
| ( ( eiw_di @ SV37 @ SV26 )
= $false )
| ( ( mrel @ SV2 @ SV26 )
= $false )
| ( ( eiw_di @ SV14 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(261,plain,
! [SV3: mworld,SV47: $i,SV15: $i,SV49: mworld,SV27: mworld] :
( ( ( mrel @ SV27 @ SV49 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV15 @ SV15 ) @ SV15 @ SV49 )
= $true )
| ( ( eiw_di @ SV47 @ SV27 )
= $false )
| ( ( mrel @ SV3 @ SV27 )
= $false )
| ( ( eiw_di @ SV15 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV4: mworld,SV16: $i,SV38: $i,SV50: mworld,SV28: mworld] :
( ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
| ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(263,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ sK5_SY1010 @ SX0 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(264,plain,
( ( ~ ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(265,plain,
! [SV5: mworld,SV17: $i,SV39: $i,SV51: mworld,SV29: mworld] :
( ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( ! [SY1204: $i] :
( ~ ( eiw_di @ SY1204 @ SV51 )
| ! [SY1205: mworld] :
( ~ ( mrel @ SV51 @ SY1205 )
| ~ ( ~ ( mrel @ SY1205 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1205 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SY1204 @ SV17 @ ( sK10_SY368 @ SY1205 @ SY1204 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1180: mworld] :
( ~ ( mrel @ SY1205 @ SY1180 )
| ( in @ SY1204 @ SV39 @ SY1180 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV6: mworld,SV18: $i,SV40: $i,SV52: mworld,SV30: mworld] :
( ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( ! [SY1207: $i] :
( ~ ( eiw_di @ SY1207 @ SV52 )
| ! [SY1208: mworld] :
( ~ ( mrel @ SV52 @ SY1208 )
| ~ ( ~ ( mrel @ SY1208 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1208 @ SY1207 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1208 @ SY1184 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SY1207 ) @ ( set_intersection2 @ SV40 @ SY1207 ) @ SY1184 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(267,plain,
! [SV7: mworld,SV19: $i,SV41: $i,SV53: mworld,SV31: mworld] :
( ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( ! [SY1210: $i] :
( ~ ( eiw_di @ SY1210 @ SV53 )
| ! [SY1211: mworld] :
( ~ ( mrel @ SV53 @ SY1211 )
| ~ ( ~ ( mrel @ SY1211 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1211 @ SY1210 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1188: mworld] :
( ~ ( mrel @ SY1211 @ SY1188 )
| ( qmltpeq @ ( set_intersection2 @ SY1210 @ SV19 ) @ ( set_intersection2 @ SY1210 @ SV41 ) @ SY1188 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(268,plain,
! [SV8: mworld,SV20: $i,SV42: $i,SV54: mworld,SV32: mworld] :
( ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
| ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV9: mworld,SV21: $i,SV43: $i,SV55: mworld,SV33: mworld] :
( ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( ! [SY1214: $i] :
( ~ ( eiw_di @ SY1214 @ SV55 )
| ! [SY1215: mworld] :
( ~ ( mrel @ SV55 @ SY1215 )
| ~ ( ~ ( mrel @ SY1215 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1215 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SY1214 @ ( sK12_SY488 @ SY1215 @ SY1214 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1215 @ SY1194 )
| ( in @ SV43 @ SY1214 @ SY1194 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(270,plain,
! [SV10: mworld,SV22: $i,SV44: $i,SV56: mworld,SV34: mworld] :
( ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
| ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(271,plain,
! [SV11: mworld,SV23: $i,SV45: $i,SV57: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
| ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV12: mworld,SV24: $i,SV46: $i,SV58: mworld,SV36: mworld] :
( ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( ! [SY1219: $i] :
( ~ ( eiw_di @ SY1219 @ SV58 )
| ! [SY1220: mworld] :
( ~ ( mrel @ SV58 @ SY1220 )
| ~ ( ~ ( mrel @ SY1220 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1220 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SY1219 @ ( sK17_SY844 @ SY1220 @ SY1219 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1132: mworld] :
( ~ ( mrel @ SY1220 @ SY1132 )
| ( qmltpeq @ SV24 @ SY1219 @ SY1132 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(273,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i,SV50: mworld] :
( ( ( ~ ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) ) )
= $true )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV59: mworld] :
( ( ~ ( mrel @ sK5_SY1010 @ SV59 )
| ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(275,plain,
( ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 )
| ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(276,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV51 )
| ! [SY1222: mworld] :
( ~ ( mrel @ SV51 @ SY1222 )
| ~ ( ~ ( mrel @ SY1222 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1222 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1223: mworld] :
( ~ ( mrel @ SY1222 @ SY1223 )
| ( in @ SV60 @ SV39 @ SY1223 ) ) ) )
= $true )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(277,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV52 )
| ! [SY1224: mworld] :
( ~ ( mrel @ SV52 @ SY1224 )
| ~ ( ~ ( mrel @ SY1224 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1225: mworld] :
( ~ ( mrel @ SY1224 @ SY1225 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1225 ) ) ) )
= $true )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(278,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV53 )
| ! [SY1226: mworld] :
( ~ ( mrel @ SV53 @ SY1226 )
| ~ ( ~ ( mrel @ SY1226 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1227: mworld] :
( ~ ( mrel @ SY1226 @ SY1227 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1227 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(279,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i,SV54: mworld] :
( ( ( ~ ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) ) )
= $true )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(280,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV55 )
| ! [SY1228: mworld] :
( ~ ( mrel @ SV55 @ SY1228 )
| ~ ( ~ ( mrel @ SY1228 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1228 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1229: mworld] :
( ~ ( mrel @ SY1228 @ SY1229 )
| ( in @ SV43 @ SV63 @ SY1229 ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(281,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld] :
( ( ( ~ ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(282,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i,SV57: mworld] :
( ( ( ~ ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) ) )
= $true )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(283,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV58 )
| ! [SY1230: mworld] :
( ~ ( mrel @ SV58 @ SY1230 )
| ~ ( ~ ( mrel @ SY1230 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1230 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1231: mworld] :
( ~ ( mrel @ SY1230 @ SY1231 )
| ( qmltpeq @ SV24 @ SV64 @ SY1231 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(284,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
| ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
= $false )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(285,plain,
! [SV59: mworld] :
( ( ( ~ ( mrel @ sK5_SY1010 @ SV59 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(286,plain,
( ( ~ ( mrel @ sK5_SY1010 @ sK6_SY1014 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(287,plain,
( ( ~ ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(288,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV51 ) )
= $true )
| ( ( ! [SY1222: mworld] :
( ~ ( mrel @ SV51 @ SY1222 )
| ~ ( ~ ( mrel @ SY1222 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1222 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1223: mworld] :
( ~ ( mrel @ SY1222 @ SY1223 )
| ( in @ SV60 @ SV39 @ SY1223 ) ) ) )
= $true )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(289,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV52 ) )
= $true )
| ( ( ! [SY1224: mworld] :
( ~ ( mrel @ SV52 @ SY1224 )
| ~ ( ~ ( mrel @ SY1224 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1225: mworld] :
( ~ ( mrel @ SY1224 @ SY1225 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1225 ) ) ) )
= $true )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(290,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV53 ) )
= $true )
| ( ( ! [SY1226: mworld] :
( ~ ( mrel @ SV53 @ SY1226 )
| ~ ( ~ ( mrel @ SY1226 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1227: mworld] :
( ~ ( mrel @ SY1226 @ SY1227 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1227 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(291,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
| ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
= $false )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV55 ) )
= $true )
| ( ( ! [SY1228: mworld] :
( ~ ( mrel @ SV55 @ SY1228 )
| ~ ( ~ ( mrel @ SY1228 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1228 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1229: mworld] :
( ~ ( mrel @ SY1228 @ SY1229 )
| ( in @ SV43 @ SV63 @ SY1229 ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(294,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
| ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
= $false )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(295,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV58 ) )
= $true )
| ( ( ! [SY1230: mworld] :
( ~ ( mrel @ SV58 @ SY1230 )
| ~ ( ~ ( mrel @ SY1230 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1230 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1231: mworld] :
( ~ ( mrel @ SY1230 @ SY1231 )
| ( qmltpeq @ SV24 @ SV64 @ SY1231 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(296,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
= $false )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(297,plain,
! [SV4: mworld,SV28: mworld,SV50: mworld,SV38: $i,SV16: $i] :
( ( ( ~ ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
= $false )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(298,plain,
! [SV59: mworld] :
( ( ( mrel @ sK5_SY1010 @ SV59 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ sK2_SY995 @ ( singleton @ sK4_SY1006 ) ) @ ( singleton @ sK4_SY1006 ) @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(299,plain,
( ( mrel @ sK5_SY1010 @ sK6_SY1014 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(300,plain,
( ( ~ ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(301,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i] :
( ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( ! [SY1222: mworld] :
( ~ ( mrel @ SV51 @ SY1222 )
| ~ ( ~ ( mrel @ SY1222 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SY1222 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SY1222 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1223: mworld] :
( ~ ( mrel @ SY1222 @ SY1223 )
| ( in @ SV60 @ SV39 @ SY1223 ) ) ) )
= $true )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(302,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i] :
( ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( ! [SY1224: mworld] :
( ~ ( mrel @ SV52 @ SY1224 )
| ~ ( ~ ( mrel @ SY1224 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SY1224 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1225: mworld] :
( ~ ( mrel @ SY1224 @ SY1225 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1225 ) ) ) )
= $true )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(303,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i] :
( ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( ! [SY1226: mworld] :
( ~ ( mrel @ SV53 @ SY1226 )
| ~ ( ~ ( mrel @ SY1226 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SY1226 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1227: mworld] :
( ~ ( mrel @ SY1226 @ SY1227 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1227 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(304,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
= $false )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(305,plain,
! [SV8: mworld,SV32: mworld,SV54: mworld,SV42: $i,SV20: $i] :
( ( ( ~ ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
= $false )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(306,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i] :
( ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( ! [SY1228: mworld] :
( ~ ( mrel @ SV55 @ SY1228 )
| ~ ( ~ ( mrel @ SY1228 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SY1228 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SY1228 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1229: mworld] :
( ~ ( mrel @ SY1228 @ SY1229 )
| ( in @ SV43 @ SV63 @ SY1229 ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(307,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(308,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV44: $i,SV22: $i] :
( ( ( ~ ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(309,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
= $false )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(310,plain,
! [SV11: mworld,SV35: mworld,SV57: mworld,SV45: $i,SV23: $i] :
( ( ( ~ ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
= $false )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(311,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i] :
( ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( ! [SY1230: mworld] :
( ~ ( mrel @ SV58 @ SY1230 )
| ~ ( ~ ( mrel @ SY1230 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SY1230 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SY1230 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1231: mworld] :
( ~ ( mrel @ SY1230 @ SY1231 )
| ( qmltpeq @ SV24 @ SV64 @ SY1231 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(312,plain,
! [SV4: mworld,SV16: $i,SV28: mworld,SV38: $i,SV50: mworld] :
( ( ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $true )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(313,plain,
! [SV4: mworld,SV28: mworld,SV50: mworld,SV38: $i,SV16: $i] :
( ( ( ~ ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) ) )
= $true )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(314,plain,
( ( in @ sK4_SY1006 @ sK2_SY995 @ sK6_SY1014 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(315,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV60: $i,SV65: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV65 )
| ~ ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(316,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV61: $i,SV66: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV66 )
| ~ ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(317,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV62: $i,SV67: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV67 )
| ~ ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(318,plain,
! [SV8: mworld,SV20: $i,SV32: mworld,SV42: $i,SV54: mworld] :
( ( ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $true )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(319,plain,
! [SV8: mworld,SV32: mworld,SV54: mworld,SV42: $i,SV20: $i] :
( ( ( ~ ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) ) )
= $true )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(320,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV63: $i,SV68: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV68 )
| ~ ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(321,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld] :
( ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(322,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV44: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $true )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(323,plain,
! [SV11: mworld,SV23: $i,SV35: mworld,SV45: $i,SV57: mworld] :
( ( ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $true )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(324,plain,
! [SV11: mworld,SV35: mworld,SV57: mworld,SV45: $i,SV23: $i] :
( ( ( ~ ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) ) )
= $true )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(325,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV69 )
| ~ ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(326,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV70: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV70 )
| ( qmltpeq @ SV38 @ SV16 @ SV70 ) )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(327,plain,
! [SV4: mworld,SV28: mworld,SV50: mworld,SV38: $i,SV16: $i] :
( ( ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $false )
| ( ( ! [SY1203: mworld] :
( ~ ( mrel @ SV50 @ SY1203 )
| ( qmltpeq @ SV38 @ SV16 @ SY1203 ) ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(328,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV60: $i,SV65: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV65 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(329,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV61: $i,SV66: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV66 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(330,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV62: $i,SV67: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV67 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(331,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV71: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV71 )
| ( in @ SV42 @ SV20 @ SV71 ) )
= $true )
| ( ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(332,plain,
! [SV8: mworld,SV32: mworld,SV54: mworld,SV42: $i,SV20: $i] :
( ( ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $false )
| ( ( ! [SY1213: mworld] :
( ~ ( mrel @ SV54 @ SY1213 )
| ( in @ SV42 @ SV20 @ SY1213 ) ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(333,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV63: $i,SV68: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(334,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV72: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV72 )
| ~ ( ~ ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(335,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV44: $i,SV22: $i] :
( ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( ! [SY1217: mworld] :
( ~ ( mrel @ SV56 @ SY1217 )
| ~ ( ~ ( mrel @ SY1217 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SY1217 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(336,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV73: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV73 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV73 ) )
= $true )
| ( ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(337,plain,
! [SV11: mworld,SV35: mworld,SV57: mworld,SV45: $i,SV23: $i] :
( ( ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $false )
| ( ( ! [SY1218: mworld] :
( ~ ( mrel @ SV57 @ SY1218 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SY1218 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(338,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(339,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV70: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV70 ) )
= $true )
| ( ( qmltpeq @ SV38 @ SV16 @ SV70 )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(340,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV74: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV74 )
| ( qmltpeq @ SV38 @ SV16 @ SV74 ) )
= $true )
| ( ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $false )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(341,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV60: $i,SV65: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(342,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV61: $i,SV66: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
| ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(343,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV62: $i,SV67: mworld,SV53: mworld] :
( ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
| ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(344,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV71: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV71 ) )
= $true )
| ( ( in @ SV42 @ SV20 @ SV71 )
= $true )
| ( ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(345,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV75: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV75 )
| ( in @ SV42 @ SV20 @ SV75 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $false )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV63: $i,SV68: mworld,SV55: mworld] :
( ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV72: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV72 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV76: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV76 )
| ~ ( ~ ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(349,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV73: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV73 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV73 )
= $true )
| ( ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(350,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV77: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV77 )
| ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV77 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $false )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(351,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV64: $i,SV69: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(352,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV70: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV70 )
= $false )
| ( ( qmltpeq @ SV38 @ SV16 @ SV70 )
= $true )
| ( ( mrel @ SV50 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $true )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(353,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV74: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV74 ) )
= $true )
| ( ( qmltpeq @ SV38 @ SV16 @ SV74 )
= $true )
| ( ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $false )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(354,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
| ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(355,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i,SV66: mworld] :
( ( ( ~ ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(356,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i,SV67: mworld] :
( ( ( ~ ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) ) )
= $true )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(357,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV71: mworld,SV54: mworld] :
( ( ( mrel @ SV54 @ SV71 )
= $false )
| ( ( in @ SV42 @ SV20 @ SV71 )
= $true )
| ( ( mrel @ SV54 @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $true )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(358,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV75: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV75 ) )
= $true )
| ( ( in @ SV42 @ SV20 @ SV75 )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $false )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(359,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
| ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(360,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV72: mworld,SV56: mworld] :
( ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(361,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV76: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV76 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(362,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV73: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ SV73 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV73 )
= $true )
| ( ( mrel @ SV57 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $true )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(363,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV77: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV77 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV77 )
= $true )
| ( ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $false )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(364,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
| ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(365,plain,
! [SV4: mworld,SV28: mworld,SV16: $i,SV38: $i,SV74: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV74 )
= $false )
| ( ( qmltpeq @ SV38 @ SV16 @ SV74 )
= $true )
| ( ( qmltpeq @ SV16 @ SV38 @ ( sK19_SY948 @ SV50 @ SV38 @ SV28 @ SV16 @ SV4 ) )
= $false )
| ( ( mrel @ SV28 @ SV50 )
= $false )
| ( ( eiw_di @ SV38 @ SV28 )
= $false )
| ( ( mrel @ SV4 @ SV28 )
= $false )
| ( ( eiw_di @ SV16 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(366,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(367,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
| ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
= $false )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(368,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
| ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
= $false )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(369,plain,
! [SV8: mworld,SV32: mworld,SV20: $i,SV42: $i,SV75: mworld,SV54: mworld] :
( ( ( mrel @ SV54 @ SV75 )
= $false )
| ( ( in @ SV42 @ SV20 @ SV75 )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV20 @ ( singleton @ SV42 ) ) @ ( singleton @ SV42 ) @ ( sK7_SY103 @ SV54 @ SV42 @ SV32 @ SV20 @ SV8 ) )
= $false )
| ( ( mrel @ SV32 @ SV54 )
= $false )
| ( ( eiw_di @ SV42 @ SV32 )
= $false )
| ( ( mrel @ SV8 @ SV32 )
= $false )
| ( ( eiw_di @ SV20 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(370,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(371,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(372,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV76: mworld,SV56: mworld] :
( ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( ~ ( ~ ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) ) )
= $true )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(373,plain,
! [SV11: mworld,SV35: mworld,SV45: $i,SV23: $i,SV77: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ SV77 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV23 ) @ ( singleton @ SV45 ) @ SV77 )
= $true )
| ( ( qmltpeq @ SV23 @ SV45 @ ( sK14_SY566 @ SV57 @ SV45 @ SV35 @ SV23 @ SV11 ) )
= $false )
| ( ( mrel @ SV35 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV35 )
= $false )
| ( ( mrel @ SV11 @ SV35 )
= $false )
| ( ( eiw_di @ SV23 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(374,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(375,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(376,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
= $false )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(377,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV61: $i,SV66: mworld,SV40: $i,SV18: $i] :
( ( ( ~ ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
= $false )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(378,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
= $false )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(379,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV62: $i,SV67: mworld,SV41: $i,SV19: $i] :
( ( ( ~ ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
= $false )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(380,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(381,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(382,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV72: mworld,SV22: $i,SV44: $i] :
( ( ( ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(383,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
| ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(384,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(385,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(386,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV60: $i,SV65: mworld,SV39: $i,SV17: $i] :
( ( ( ~ ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(387,plain,
! [SV6: mworld,SV18: $i,SV30: mworld,SV40: $i,SV52: mworld,SV61: $i,SV66: mworld] :
( ( ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $true )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(388,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV61: $i,SV66: mworld,SV40: $i,SV18: $i] :
( ( ( ~ ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) ) )
= $true )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(389,plain,
! [SV7: mworld,SV19: $i,SV31: mworld,SV41: $i,SV53: mworld,SV62: $i,SV67: mworld] :
( ( ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $true )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(390,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV62: $i,SV67: mworld,SV41: $i,SV19: $i] :
( ( ( ~ ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) ) )
= $true )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(391,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(392,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV63: $i,SV68: mworld,SV43: $i,SV21: $i] :
( ( ( ~ ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(393,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV72: mworld] :
( ( ( mrel @ SV72 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(394,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV72: mworld,SV22: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $true )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(395,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(396,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV76: mworld,SV22: $i,SV44: $i] :
( ( ( ~ ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $false )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(397,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(398,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV64: $i,SV69: mworld,SV46: $i,SV24: $i] :
( ( ( ~ ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(399,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(400,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV60: $i,SV65: mworld,SV39: $i,SV17: $i] :
( ( ( ~ ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(401,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV78: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV78 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV78 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(402,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV61: $i,SV66: mworld,SV40: $i,SV18: $i] :
( ( ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $false )
| ( ( ! [SY1233: mworld] :
( ~ ( mrel @ SV66 @ SY1233 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SY1233 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(403,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV79: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV79 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV79 ) )
= $true )
| ( ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(404,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV62: $i,SV67: mworld,SV41: $i,SV19: $i] :
( ( ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $false )
| ( ( ! [SY1234: mworld] :
( ~ ( mrel @ SV67 @ SY1234 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SY1234 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(405,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(406,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV63: $i,SV68: mworld,SV43: $i,SV21: $i] :
( ( ( ~ ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(407,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV72: mworld,SV22: $i,SV44: $i] :
( ( ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV72 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV56 @ SV72 )
= $false )
| ( ( mrel @ SV56 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(408,plain,
! [SV10: mworld,SV22: $i,SV34: mworld,SV44: $i,SV56: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $true )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(409,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV76: mworld,SV22: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) ) )
= $true )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(410,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(411,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV64: $i,SV69: mworld,SV46: $i,SV24: $i] :
( ( ( ~ ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(412,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(413,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV60: $i,SV65: mworld,SV39: $i,SV17: $i] :
( ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(414,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV78: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV78 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV78 )
= $true )
| ( ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(415,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV80: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV80 )
| ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV80 ) )
= $true )
| ( ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $false )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(416,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV79: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV79 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV79 )
= $true )
| ( ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(417,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV81: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV81 )
| ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV81 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $false )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(418,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(419,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV63: $i,SV68: mworld,SV43: $i,SV21: $i] :
( ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(420,plain,
! [SV10: mworld,SV34: mworld,SV56: mworld,SV76: mworld,SV22: $i,SV44: $i] :
( ( ( in @ SV44 @ SV22 @ ( sK8_SY181 @ SV76 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV56 @ SV76 )
= $false )
| ( ( in @ SV22 @ SV44 @ ( sK9_SY179 @ SV56 @ SV44 @ SV34 @ SV22 @ SV10 ) )
= $false )
| ( ( mrel @ SV34 @ SV56 )
= $false )
| ( ( eiw_di @ SV44 @ SV34 )
= $false )
| ( ( mrel @ SV10 @ SV34 )
= $false )
| ( ( eiw_di @ SV22 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(422,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV64: $i,SV69: mworld,SV46: $i,SV24: $i] :
( ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(423,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(424,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(425,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
| ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(426,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV78: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV78 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV78 )
= $true )
| ( ( mrel @ SV66 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $true )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(427,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV80: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV80 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV80 )
= $true )
| ( ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $false )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(428,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV79: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ SV79 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV79 )
= $true )
| ( ( mrel @ SV67 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $true )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(429,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV81: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV81 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV81 )
= $true )
| ( ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $false )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(430,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(431,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(432,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
| ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(433,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(434,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(435,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
| ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(436,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(437,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(438,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(439,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( ~ ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(440,plain,
! [SV6: mworld,SV30: mworld,SV52: mworld,SV40: $i,SV61: $i,SV18: $i,SV80: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV80 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV18 @ SV61 ) @ ( set_intersection2 @ SV40 @ SV61 ) @ SV80 )
= $true )
| ( ( qmltpeq @ SV18 @ SV40 @ ( sK16_SY754 @ SV66 @ SV61 @ SV52 @ SV40 @ SV30 @ SV18 @ SV6 ) )
= $false )
| ( ( mrel @ SV52 @ SV66 )
= $false )
| ( ( eiw_di @ SV61 @ SV52 )
= $false )
| ( ( mrel @ SV30 @ SV52 )
= $false )
| ( ( eiw_di @ SV40 @ SV30 )
= $false )
| ( ( mrel @ SV6 @ SV30 )
= $false )
| ( ( eiw_di @ SV18 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(441,plain,
! [SV7: mworld,SV31: mworld,SV53: mworld,SV41: $i,SV19: $i,SV62: $i,SV81: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ SV81 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV62 @ SV19 ) @ ( set_intersection2 @ SV62 @ SV41 ) @ SV81 )
= $true )
| ( ( qmltpeq @ SV19 @ SV41 @ ( sK15_SY656 @ SV67 @ SV62 @ SV53 @ SV41 @ SV31 @ SV19 @ SV7 ) )
= $false )
| ( ( mrel @ SV53 @ SV67 )
= $false )
| ( ( eiw_di @ SV62 @ SV53 )
= $false )
| ( ( mrel @ SV31 @ SV53 )
= $false )
| ( ( eiw_di @ SV41 @ SV31 )
= $false )
| ( ( mrel @ SV7 @ SV31 )
= $false )
| ( ( eiw_di @ SV19 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(442,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(443,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(444,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(445,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( ~ ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $false )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(446,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(447,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(448,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(449,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( ~ ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(450,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV82: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV82 )
| ( in @ SV60 @ SV39 @ SV82 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(451,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(452,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV39: $i,SV51: mworld,SV60: $i,SV65: mworld] :
( ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(453,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(454,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV83: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV83 )
| ( in @ SV43 @ SV63 @ SV83 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(455,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(456,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV43: $i,SV55: mworld,SV63: $i,SV68: mworld] :
( ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(457,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(458,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV84: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV84 )
| ( qmltpeq @ SV24 @ SV64 @ SV84 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(459,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(460,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(461,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( ~ ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(462,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV82: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV82 ) )
= $true )
| ( ( in @ SV60 @ SV39 @ SV82 )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(463,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV85: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV85 )
| ( in @ SV60 @ SV39 @ SV85 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(464,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV86: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV86 )
| ( in @ SV60 @ SV39 @ SV86 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(465,plain,
! [SV5: mworld,SV29: mworld,SV39: $i,SV51: mworld,SV65: mworld,SV17: $i,SV60: $i] :
( ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( ! [SY1232: mworld] :
( ~ ( mrel @ SV65 @ SY1232 )
| ( in @ SV60 @ SV39 @ SY1232 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(466,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV83: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV83 ) )
= $true )
| ( ( in @ SV43 @ SV63 @ SV83 )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(467,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV87: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV87 )
| ( in @ SV43 @ SV63 @ SV87 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(468,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV88: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV88 )
| ( in @ SV43 @ SV63 @ SV88 ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(469,plain,
! [SV9: mworld,SV33: mworld,SV43: $i,SV55: mworld,SV68: mworld,SV63: $i,SV21: $i] :
( ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( ! [SY1235: mworld] :
( ~ ( mrel @ SV68 @ SY1235 )
| ( in @ SV43 @ SV63 @ SY1235 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(470,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV84: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV84 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV64 @ SV84 )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(471,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV89: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV89 )
| ( qmltpeq @ SV24 @ SV64 @ SV89 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(472,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV90: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV90 )
| ( qmltpeq @ SV24 @ SV64 @ SV90 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(473,plain,
! [SV12: mworld,SV24: $i,SV36: mworld,SV58: mworld,SV69: mworld,SV64: $i,SV46: $i] :
( ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( ! [SY1236: mworld] :
( ~ ( mrel @ SV69 @ SY1236 )
| ( qmltpeq @ SV24 @ SV64 @ SY1236 ) ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(474,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV82: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV82 )
= $false )
| ( ( in @ SV60 @ SV39 @ SV82 )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(475,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV85: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV85 ) )
= $true )
| ( ( in @ SV60 @ SV39 @ SV85 )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(476,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV86: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV86 ) )
= $true )
| ( ( in @ SV60 @ SV39 @ SV86 )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(477,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV91: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV91 )
| ( in @ SV60 @ SV39 @ SV91 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(478,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV83: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV83 )
= $false )
| ( ( in @ SV43 @ SV63 @ SV83 )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(479,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV87: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV87 ) )
= $true )
| ( ( in @ SV43 @ SV63 @ SV87 )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(480,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV88: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV88 ) )
= $true )
| ( ( in @ SV43 @ SV63 @ SV88 )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(481,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV92: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV92 )
| ( in @ SV43 @ SV63 @ SV92 ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(482,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV84: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV84 )
= $false )
| ( ( qmltpeq @ SV24 @ SV64 @ SV84 )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(483,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV89: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV89 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV64 @ SV89 )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(484,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV90: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV90 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV64 @ SV90 )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(485,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV93 )
| ( qmltpeq @ SV24 @ SV64 @ SV93 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(486,plain,
! [SV5: mworld,SV17: $i,SV29: mworld,SV51: mworld,SV39: $i,SV60: $i,SV85: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV85 )
= $false )
| ( ( in @ SV60 @ SV39 @ SV85 )
= $true )
| ( ( mrel @ SV65 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(487,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV86: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV86 )
= $false )
| ( ( in @ SV60 @ SV39 @ SV86 )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV65 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $true )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(488,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV91: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV91 ) )
= $true )
| ( ( in @ SV60 @ SV39 @ SV91 )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(489,plain,
! [SV9: mworld,SV21: $i,SV33: mworld,SV55: mworld,SV63: $i,SV43: $i,SV87: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV87 )
= $false )
| ( ( in @ SV43 @ SV63 @ SV87 )
= $true )
| ( ( mrel @ SV68 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(490,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV88: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV88 )
= $false )
| ( ( in @ SV43 @ SV63 @ SV88 )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV68 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $true )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(491,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV92: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV92 ) )
= $true )
| ( ( in @ SV43 @ SV63 @ SV92 )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(492,plain,
! [SV12: mworld,SV36: mworld,SV46: $i,SV58: mworld,SV64: $i,SV24: $i,SV89: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV89 )
= $false )
| ( ( qmltpeq @ SV24 @ SV64 @ SV89 )
= $true )
| ( ( mrel @ SV69 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(493,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV90: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV90 )
= $false )
| ( ( qmltpeq @ SV24 @ SV64 @ SV90 )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV69 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $true )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(494,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV93 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV64 @ SV93 )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(495,plain,
! [SV5: mworld,SV29: mworld,SV51: mworld,SV17: $i,SV39: $i,SV60: $i,SV91: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV91 )
= $false )
| ( ( in @ SV60 @ SV39 @ SV91 )
= $true )
| ( ( qmltpeq @ SV17 @ SV39 @ ( sK11_SY367 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( in @ SV60 @ SV17 @ ( sK10_SY368 @ SV65 @ SV60 @ SV51 @ SV39 @ SV29 @ SV17 @ SV5 ) )
= $false )
| ( ( mrel @ SV51 @ SV65 )
= $false )
| ( ( eiw_di @ SV60 @ SV51 )
= $false )
| ( ( mrel @ SV29 @ SV51 )
= $false )
| ( ( eiw_di @ SV39 @ SV29 )
= $false )
| ( ( mrel @ SV5 @ SV29 )
= $false )
| ( ( eiw_di @ SV17 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(496,plain,
! [SV9: mworld,SV33: mworld,SV55: mworld,SV21: $i,SV63: $i,SV43: $i,SV92: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV92 )
= $false )
| ( ( in @ SV43 @ SV63 @ SV92 )
= $true )
| ( ( qmltpeq @ SV21 @ SV43 @ ( sK13_SY487 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( in @ SV21 @ SV63 @ ( sK12_SY488 @ SV68 @ SV63 @ SV55 @ SV43 @ SV33 @ SV21 @ SV9 ) )
= $false )
| ( ( mrel @ SV55 @ SV68 )
= $false )
| ( ( eiw_di @ SV63 @ SV55 )
= $false )
| ( ( mrel @ SV33 @ SV55 )
= $false )
| ( ( eiw_di @ SV43 @ SV33 )
= $false )
| ( ( mrel @ SV9 @ SV33 )
= $false )
| ( ( eiw_di @ SV21 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(497,plain,
! [SV12: mworld,SV36: mworld,SV58: mworld,SV46: $i,SV64: $i,SV24: $i,SV93: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV93 )
= $false )
| ( ( qmltpeq @ SV24 @ SV64 @ SV93 )
= $true )
| ( ( qmltpeq @ SV24 @ SV46 @ ( sK18_SY869 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( qmltpeq @ SV46 @ SV64 @ ( sK17_SY844 @ SV69 @ SV64 @ SV58 @ SV46 @ SV36 @ SV24 @ SV12 ) )
= $false )
| ( ( mrel @ SV58 @ SV69 )
= $false )
| ( ( eiw_di @ SV64 @ SV58 )
= $false )
| ( ( mrel @ SV36 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV36 )
= $false )
| ( ( mrel @ SV12 @ SV36 )
= $false )
| ( ( eiw_di @ SV24 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(498,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,497,496,495,493,492,490,489,487,486,482,478,474,441,440,428,426,420,408,407,393,373,369,365,362,357,352,314,299,298,261,260,225,187,183,146,105]) ).
thf(499,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL952^12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 12:37:47 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/0.69
% 2.70/0.69 No.of.Axioms: 17
% 2.70/0.69
% 2.70/0.69 Length.of.Defs: 1653
% 2.70/0.69
% 2.70/0.69 Contains.Choice.Funs: false
% 2.70/0.69 ............................................
% 2.70/0.69
% 2.70/0.69 ********************************
% 2.70/0.69 * All subproblems solved! *
% 2.70/0.69 ********************************
% 2.70/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:498,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 2.70/0.69
% 2.70/0.69 %**** Beginning of derivation protocol ****
% 2.70/0.69 % SZS output start CNFRefutation
% See solution above
% 2.70/0.69
% 2.70/0.69 %**** End of derivation protocol ****
% 2.70/0.69 %**** no. of clauses in derivation: 494 ****
% 2.70/0.69 %**** clause counter: 498 ****
% 2.70/0.69
% 2.70/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:498,loop_count:0,foatp_calls:1,translation:fof_experiment)
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