TSTP Solution File: LCL952^12 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL952^12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:27:49 EDT 2022
% Result : Theorem 0.83s 1.07s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 77
% Syntax : Number of formulae : 602 ( 114 unt; 49 typ; 10 def)
% Number of atoms : 10774 (2873 equ; 0 cnn)
% Maximal formula atoms : 16 ( 19 avg)
% Number of connectives : 19436 (2232 ~;4146 |; 3 &;13051 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 196 ( 196 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 11 con; 0-7 aty)
% Number of variables : 3610 ( 95 ^3512 !; 3 ?;3610 :)
% 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_SY247,type,
sK10_SY247: mworld ).
thf(tp_sK11_SY288,type,
sK11_SY288: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK12_SY290,type,
sK12_SY290: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK13_SY307,type,
sK13_SY307: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK14_SY316,type,
sK14_SY316: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK15_SY313,type,
sK15_SY313: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK16_SY354,type,
sK16_SY354: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK17_SY344,type,
sK17_SY344: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK18_SY349,type,
sK18_SY349: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK19_SY314,type,
sK19_SY314: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK20_SY355,type,
sK20_SY355: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK21_SY314,type,
sK21_SY314: $i > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK22_SY341,type,
sK22_SY341: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK23_SY346,type,
sK23_SY346: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK24_SY351,type,
sK24_SY351: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK25_SY342,type,
sK25_SY342: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK26_SY347,type,
sK26_SY347: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK27_SY352,type,
sK27_SY352: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK28_SY342,type,
sK28_SY342: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK29_SY347,type,
sK29_SY347: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK30_SY352,type,
sK30_SY352: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SY86,type,
sK5_SY86: $i ).
thf(tp_sK6_SY106,type,
sK6_SY106: mworld ).
thf(tp_sK7_SY172,type,
sK7_SY172: $i ).
thf(tp_sK8_SY236,type,
sK8_SY236: mworld ).
thf(tp_sK9_SY192,type,
sK9_SY192: 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) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [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(2,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( mnot @ ( mbox @ ( empty @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(3,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( empty @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(4,axiom,
( mlocal
@ ( mbox
@ ( 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(9,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( empty @ A ) ) ) @ ( mbox @ ( empty @ B ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_substitution_1) ).
thf(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(16,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(17,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
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,
( ( ~ ( 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 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(22,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(23,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(24,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(25,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(26,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(27,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(28,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ C @ A ) @ ( set_intersection2 @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(29,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(30,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( empty @ A ) ) ) @ ( mbox @ ( empty @ B ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(31,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(32,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(33,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ B ) @ ( set_intersection2 @ B @ A ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(34,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ A ) @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(35,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( in @ A @ B ) ) @ ( mbox @ ( mnot @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(36,plain,
( ( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( empty @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(37,plain,
( ( mlocal
@ ( mexists_di
@ ^ [A: $i] : ( mbox @ ( mnot @ ( mbox @ ( empty @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(38,plain,
( ( 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 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(39,plain,
( ( ~ ( 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 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(40,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SX1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(41,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SX1 @ SX6 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(42,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(43,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(44,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( empty @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(45,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ( empty @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(46,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ SX3 ) @ ( set_intersection2 @ SX3 @ SX1 ) @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(47,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(48,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX5 @ SX1 ) @ ( set_intersection2 @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(49,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ SX1 ) @ SX1 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(50,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(51,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(52,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ SX5 ) @ ( set_intersection2 @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(53,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(54,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(55,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(56,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(57,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(58,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ! [SY1: $i] :
( ~ ( eiw_di @ SY1 @ SV3 )
| ! [SY2: mworld] :
( ~ ( mrel @ SV3 @ SY2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(59,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY7: $i] :
( ~ ( eiw_di @ SY7 @ SV4 )
| ! [SY8: mworld] :
( ~ ( mrel @ SV4 @ SY8 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY8 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY8 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY7 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY7 @ SX6 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(60,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SX1 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(61,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY14: $i] :
( ~ ( eiw_di @ SY14 @ SV5 )
| ! [SY15: mworld] :
( ~ ( mrel @ SV5 @ SY15 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY15 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY15 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(62,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( empty @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(63,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ( empty @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(64,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY23: $i] :
( ~ ( eiw_di @ SY23 @ SV6 )
| ! [SY24: mworld] :
( ~ ( mrel @ SV6 @ SY24 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY24 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY24 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY23 @ SX3 ) @ ( set_intersection2 @ SX3 @ SY23 ) @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(65,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY27: $i] :
( ~ ( eiw_di @ SY27 @ SV7 )
| ! [SY28: mworld] :
( ~ ( mrel @ SV7 @ SY28 )
| ( qmltpeq @ SY27 @ SY27 @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(66,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY29: $i] :
( ~ ( eiw_di @ SY29 @ SV8 )
| ! [SY30: mworld] :
( ~ ( mrel @ SV8 @ SY30 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY30 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY30 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY29 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX5 @ SY29 ) @ ( set_intersection2 @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(67,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY37: $i] :
( ~ ( eiw_di @ SY37 @ SV9 )
| ! [SY38: mworld] :
( ~ ( mrel @ SV9 @ SY38 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY38 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY38 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY37 @ SY37 ) @ SY37 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(68,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SV10 )
| ! [SY42: mworld] :
( ~ ( mrel @ SV10 @ SY42 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY42 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY42 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY41 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY41 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(69,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY50: $i] :
( ~ ( eiw_di @ SY50 @ SV11 )
| ! [SY51: mworld] :
( ~ ( mrel @ SV11 @ SY51 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY51 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY51 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SY50 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SY50 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(70,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SV12 )
| ! [SY57: mworld] :
( ~ ( mrel @ SV12 @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY56 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY56 @ SX5 ) @ ( set_intersection2 @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(71,plain,
! [SV13: mworld] :
( ( ~ ( mrel @ mactual @ SV13 )
| ! [SY64: $i] :
( ~ ( eiw_di @ SY64 @ SV13 )
| ! [SY65: mworld] :
( ~ ( mrel @ SV13 @ SY65 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY65 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY64 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(72,plain,
! [SV14: mworld] :
( ( ~ ( mrel @ mactual @ SV14 )
| ! [SY71: $i] :
( ~ ( eiw_di @ SY71 @ SV14 )
| ! [SY72: mworld] :
( ~ ( mrel @ SV14 @ SY72 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY72 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY72 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY71 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY71 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(73,plain,
! [SV15: mworld] :
( ( ~ ( mrel @ mactual @ SV15 )
| ! [SY77: $i] :
( ~ ( eiw_di @ SY77 @ SV15 )
| ! [SY78: mworld] :
( ~ ( mrel @ SV15 @ SY78 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY78 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY78 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY77 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY77 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(74,plain,
! [SV16: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(75,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ! [SY1: $i] :
( ~ ( eiw_di @ SY1 @ SV3 )
| ! [SY2: mworld] :
( ~ ( mrel @ SV3 @ SY2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY7: $i] :
( ~ ( eiw_di @ SY7 @ SV4 )
| ! [SY8: mworld] :
( ~ ( mrel @ SV4 @ SY8 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY8 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY8 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY7 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY7 @ SX6 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(77,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ! [SY86: $i] :
( ~ ( eiw_di @ SY86 @ sK2_SX0 )
| ! [SY87: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY87 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY87 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY87 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SY86 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SY86 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(78,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( eiw_di @ SY14 @ SV5 )
| ! [SY15: mworld] :
( ~ ( mrel @ SV5 @ SY15 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY15 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY15 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(79,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK3_SX0 @ mactual )
| ~ ! [SY92: mworld] :
( ~ ( mrel @ mactual @ SY92 )
| ( empty @ sK3_SX0 @ SY92 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(80,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ mactual @ SY93 )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ SY93 @ SY94 )
| ( empty @ sK4_SX0 @ SY94 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(81,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY23: $i] :
( ~ ( eiw_di @ SY23 @ SV6 )
| ! [SY24: mworld] :
( ~ ( mrel @ SV6 @ SY24 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY24 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY24 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY23 @ SX3 ) @ ( set_intersection2 @ SX3 @ SY23 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( eiw_di @ SY27 @ SV7 )
| ! [SY28: mworld] :
( ~ ( mrel @ SV7 @ SY28 )
| ( qmltpeq @ SY27 @ SY27 @ SY28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( eiw_di @ SY29 @ SV8 )
| ! [SY30: mworld] :
( ~ ( mrel @ SV8 @ SY30 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY30 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY30 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY29 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX5 @ SY29 ) @ ( set_intersection2 @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(84,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( eiw_di @ SY37 @ SV9 )
| ! [SY38: mworld] :
( ~ ( mrel @ SV9 @ SY38 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY38 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY38 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY37 @ SY37 ) @ SY37 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SV10 )
| ! [SY42: mworld] :
( ~ ( mrel @ SV10 @ SY42 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY42 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY42 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY41 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY41 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( eiw_di @ SY50 @ SV11 )
| ! [SY51: mworld] :
( ~ ( mrel @ SV11 @ SY51 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY51 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY51 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SY50 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SY50 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(87,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SV12 )
| ! [SY57: mworld] :
( ~ ( mrel @ SV12 @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY56 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY56 @ SX5 ) @ ( set_intersection2 @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(88,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( eiw_di @ SY64 @ SV13 )
| ! [SY65: mworld] :
( ~ ( mrel @ SV13 @ SY65 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY65 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY64 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(89,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 ) )
= $true )
| ( ( ! [SY71: $i] :
( ~ ( eiw_di @ SY71 @ SV14 )
| ! [SY72: mworld] :
( ~ ( mrel @ SV14 @ SY72 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY72 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY72 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY71 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY71 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(90,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 ) )
= $true )
| ( ( ! [SY77: $i] :
( ~ ( eiw_di @ SY77 @ SV15 )
| ! [SY78: mworld] :
( ~ ( mrel @ SV15 @ SY78 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY78 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY78 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY77 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY77 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(91,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ! [SY1: $i] :
( ~ ( eiw_di @ SY1 @ SV3 )
| ! [SY2: mworld] :
( ~ ( mrel @ SV3 @ SY2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(92,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY7: $i] :
( ~ ( eiw_di @ SY7 @ SV4 )
| ! [SY8: mworld] :
( ~ ( mrel @ SV4 @ SY8 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY8 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY8 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SY7 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( in @ SX3 @ SY7 @ SX6 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(93,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(94,plain,
( ( ! [SY86: $i] :
( ~ ( eiw_di @ SY86 @ sK2_SX0 )
| ! [SY87: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY87 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY87 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY87 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SY86 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SY86 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(95,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( eiw_di @ SY14 @ SV5 )
| ! [SY15: mworld] :
( ~ ( mrel @ SV5 @ SY15 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY15 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY15 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY14 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(96,plain,
( ( ~ ( ~ ( eiw_di @ sK3_SX0 @ mactual )
| ~ ! [SY92: mworld] :
( ~ ( mrel @ mactual @ SY92 )
| ( empty @ sK3_SX0 @ SY92 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(97,plain,
( ( ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ mactual @ SY93 )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ SY93 @ SY94 )
| ( empty @ sK4_SX0 @ SY94 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(98,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY23: $i] :
( ~ ( eiw_di @ SY23 @ SV6 )
| ! [SY24: mworld] :
( ~ ( mrel @ SV6 @ SY24 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY24 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY24 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY23 @ SX3 ) @ ( set_intersection2 @ SX3 @ SY23 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(99,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( eiw_di @ SY27 @ SV7 )
| ! [SY28: mworld] :
( ~ ( mrel @ SV7 @ SY28 )
| ( qmltpeq @ SY27 @ SY27 @ SY28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(100,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( eiw_di @ SY29 @ SV8 )
| ! [SY30: mworld] :
( ~ ( mrel @ SV8 @ SY30 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY30 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY30 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY29 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SX5 @ SY29 ) @ ( set_intersection2 @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(101,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY37: $i] :
( ~ ( eiw_di @ SY37 @ SV9 )
| ! [SY38: mworld] :
( ~ ( mrel @ SV9 @ SY38 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY38 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY38 @ SX4 )
| ( qmltpeq @ ( set_intersection2 @ SY37 @ SY37 ) @ SY37 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(102,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SV10 )
| ! [SY42: mworld] :
( ~ ( mrel @ SV10 @ SY42 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY42 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY42 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY41 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SY41 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(103,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY50: $i] :
( ~ ( eiw_di @ SY50 @ SV11 )
| ! [SY51: mworld] :
( ~ ( mrel @ SV11 @ SY51 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY51 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY51 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( set_intersection2 @ SY50 @ ( singleton @ SX3 ) ) @ ( singleton @ SX3 ) @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( in @ SX3 @ SY50 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(104,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SV12 )
| ! [SY57: mworld] :
( ~ ( mrel @ SV12 @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY56 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( set_intersection2 @ SY56 @ SX5 ) @ ( set_intersection2 @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(105,plain,
! [SV13: mworld] :
( ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( eiw_di @ SY64 @ SV13 )
| ! [SY65: mworld] :
( ~ ( mrel @ SV13 @ SY65 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY65 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SY64 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( empty @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(106,plain,
! [SV14: mworld] :
( ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( eiw_di @ SY71 @ SV14 )
| ! [SY72: mworld] :
( ~ ( mrel @ SV14 @ SY72 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY72 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY72 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY71 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY71 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(107,plain,
! [SV15: mworld] :
( ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( eiw_di @ SY77 @ SV15 )
| ! [SY78: mworld] :
( ~ ( mrel @ SV15 @ SY78 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY78 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY78 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY77 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SY77 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( in @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(108,plain,
! [SV3: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV3 )
| ! [SY95: mworld] :
( ~ ( mrel @ SV3 @ SY95 )
| ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SY95 )
| ! [SY97: mworld] :
( ~ ( mrel @ SY95 @ SY97 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY97 @ SY98 )
| ( qmltpeq @ SV17 @ SY96 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY97 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY96 ) @ SY99 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(109,plain,
! [SV4: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV4 )
| ! [SY100: mworld] :
( ~ ( mrel @ SV4 @ SY100 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SY100 )
| ! [SY102: mworld] :
( ~ ( mrel @ SY100 @ SY102 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY102 @ SY103 )
| ( in @ SV18 @ SY101 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY102 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY101 @ SV18 @ SY105 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(110,plain,
( ( mrel @ mactual @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(111,plain,
( ( ~ ( eiw_di @ sK5_SY86 @ sK2_SX0 )
| ! [SY106: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY106 )
| ! [SY107: $i] :
( ~ ( eiw_di @ SY107 @ SY106 )
| ! [SY108: mworld] :
( ~ ( mrel @ SY106 @ SY108 )
| ~ ! [SY109: mworld] :
( ~ ( mrel @ SY108 @ SY109 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ SY107 ) ) @ ( singleton @ SY107 ) @ SY109 ) )
| ! [SY110: mworld] :
( ~ ( mrel @ SY108 @ SY110 )
| ( in @ SY107 @ sK5_SY86 @ SY110 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(112,plain,
! [SV5: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV5 )
| ! [SY111: mworld] :
( ~ ( mrel @ SV5 @ SY111 )
| ! [SY112: $i] :
( ~ ( eiw_di @ SY112 @ SY111 )
| ! [SY113: mworld] :
( ~ ( mrel @ SY111 @ SY113 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY113 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY113 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY112 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY112 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(113,plain,
( ( ~ ( eiw_di @ sK3_SX0 @ mactual )
| ~ ! [SY92: mworld] :
( ~ ( mrel @ mactual @ SY92 )
| ( empty @ sK3_SX0 @ SY92 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(114,plain,
( ( ~ ( eiw_di @ sK4_SX0 @ mactual )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ mactual @ SY93 )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ SY93 @ SY94 )
| ( empty @ sK4_SX0 @ SY94 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(115,plain,
! [SV6: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV6 )
| ! [SY119: mworld] :
( ~ ( mrel @ SV6 @ SY119 )
| ! [SY120: $i] :
( ~ ( eiw_di @ SY120 @ SY119 )
| ! [SY121: mworld] :
( ~ ( mrel @ SY119 @ SY121 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY120 ) @ ( set_intersection2 @ SY120 @ SV20 ) @ SY121 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(116,plain,
! [SV7: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV7 )
| ! [SY122: mworld] :
( ~ ( mrel @ SV7 @ SY122 )
| ( qmltpeq @ SV21 @ SV21 @ SY122 ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(117,plain,
! [SV8: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV8 )
| ! [SY123: mworld] :
( ~ ( mrel @ SV8 @ SY123 )
| ! [SY124: $i] :
( ~ ( eiw_di @ SY124 @ SY123 )
| ! [SY125: mworld] :
( ~ ( mrel @ SY123 @ SY125 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY125 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY125 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY124 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY124 ) @ SY129 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(118,plain,
! [SV9: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV9 )
| ! [SY130: mworld] :
( ~ ( mrel @ SV9 @ SY130 )
| ! [SY131: $i] :
( ~ ( eiw_di @ SY131 @ SY130 )
| ! [SY132: mworld] :
( ~ ( mrel @ SY130 @ SY132 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY132 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV10: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV10 )
| ! [SY133: mworld] :
( ~ ( mrel @ SV10 @ SY133 )
| ! [SY134: $i] :
( ~ ( eiw_di @ SY134 @ SY133 )
| ! [SY135: mworld] :
( ~ ( mrel @ SY133 @ SY135 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY135 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY135 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY134 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY134 @ SY136 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(120,plain,
! [SV11: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV11 )
| ! [SY141: mworld] :
( ~ ( mrel @ SV11 @ SY141 )
| ! [SY142: $i] :
( ~ ( eiw_di @ SY142 @ SY141 )
| ! [SY143: mworld] :
( ~ ( mrel @ SY141 @ SY143 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY143 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY142 ) ) @ ( singleton @ SY142 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY143 @ SY145 )
| ( in @ SY142 @ SV25 @ SY145 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(121,plain,
! [SV12: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV12 )
| ! [SY146: mworld] :
( ~ ( mrel @ SV12 @ SY146 )
| ! [SY147: $i] :
( ~ ( eiw_di @ SY147 @ SY146 )
| ! [SY148: mworld] :
( ~ ( mrel @ SY146 @ SY148 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY148 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY148 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY147 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY147 @ SY149 ) @ SY152 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV13: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV13 )
| ! [SY153: mworld] :
( ~ ( mrel @ SV13 @ SY153 )
| ! [SY154: $i] :
( ~ ( eiw_di @ SY154 @ SY153 )
| ! [SY155: mworld] :
( ~ ( mrel @ SY153 @ SY155 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY155 @ SY156 )
| ( qmltpeq @ SV27 @ SY154 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY155 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY155 @ SX5 )
| ( empty @ SY154 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV14: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV14 )
| ! [SY159: mworld] :
( ~ ( mrel @ SV14 @ SY159 )
| ! [SY160: $i] :
( ~ ( eiw_di @ SY160 @ SY159 )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY161 @ SY162 )
| ( qmltpeq @ SV28 @ SY160 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY161 @ SY163 )
| ( qmltpeq @ SY160 @ SV28 @ SY163 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV15: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV15 )
| ! [SY164: mworld] :
( ~ ( mrel @ SV15 @ SY164 )
| ! [SY165: $i] :
( ~ ( eiw_di @ SY165 @ SY164 )
| ! [SY166: mworld] :
( ~ ( mrel @ SY164 @ SY166 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY166 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY166 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY165 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY165 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV3: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV3 ) )
= $true )
| ( ( ! [SY95: mworld] :
( ~ ( mrel @ SV3 @ SY95 )
| ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SY95 )
| ! [SY97: mworld] :
( ~ ( mrel @ SY95 @ SY97 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY97 @ SY98 )
| ( qmltpeq @ SV17 @ SY96 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY97 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY96 ) @ SY99 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV4: mworld,SV18: $i] :
( ( ( ~ ( eiw_di @ SV18 @ SV4 ) )
= $true )
| ( ( ! [SY100: mworld] :
( ~ ( mrel @ SV4 @ SY100 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SY100 )
| ! [SY102: mworld] :
( ~ ( mrel @ SY100 @ SY102 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY102 @ SY103 )
| ( in @ SV18 @ SY101 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY102 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY101 @ SV18 @ SY105 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(127,plain,
( ( ~ ( eiw_di @ sK5_SY86 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(128,plain,
( ( ! [SY106: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY106 )
| ! [SY107: $i] :
( ~ ( eiw_di @ SY107 @ SY106 )
| ! [SY108: mworld] :
( ~ ( mrel @ SY106 @ SY108 )
| ~ ! [SY109: mworld] :
( ~ ( mrel @ SY108 @ SY109 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ SY107 ) ) @ ( singleton @ SY107 ) @ SY109 ) )
| ! [SY110: mworld] :
( ~ ( mrel @ SY108 @ SY110 )
| ( in @ SY107 @ sK5_SY86 @ SY110 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(129,plain,
! [SV5: mworld,SV19: $i] :
( ( ( ~ ( eiw_di @ SV19 @ SV5 ) )
= $true )
| ( ( ! [SY111: mworld] :
( ~ ( mrel @ SV5 @ SY111 )
| ! [SY112: $i] :
( ~ ( eiw_di @ SY112 @ SY111 )
| ! [SY113: mworld] :
( ~ ( mrel @ SY111 @ SY113 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY113 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY113 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY112 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY112 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(130,plain,
( ( ~ ( eiw_di @ sK3_SX0 @ mactual ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(131,plain,
( ( ~ ! [SY92: mworld] :
( ~ ( mrel @ mactual @ SY92 )
| ( empty @ sK3_SX0 @ SY92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(132,plain,
( ( ~ ( eiw_di @ sK4_SX0 @ mactual ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(133,plain,
( ( ~ ! [SY93: mworld] :
( ~ ( mrel @ mactual @ SY93 )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ SY93 @ SY94 )
| ( empty @ sK4_SX0 @ SY94 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(134,plain,
! [SV6: mworld,SV20: $i] :
( ( ( ~ ( eiw_di @ SV20 @ SV6 ) )
= $true )
| ( ( ! [SY119: mworld] :
( ~ ( mrel @ SV6 @ SY119 )
| ! [SY120: $i] :
( ~ ( eiw_di @ SY120 @ SY119 )
| ! [SY121: mworld] :
( ~ ( mrel @ SY119 @ SY121 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY120 ) @ ( set_intersection2 @ SY120 @ SV20 ) @ SY121 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(135,plain,
! [SV7: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV7 ) )
= $true )
| ( ( ! [SY122: mworld] :
( ~ ( mrel @ SV7 @ SY122 )
| ( qmltpeq @ SV21 @ SV21 @ SY122 ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(136,plain,
! [SV8: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV8 ) )
= $true )
| ( ( ! [SY123: mworld] :
( ~ ( mrel @ SV8 @ SY123 )
| ! [SY124: $i] :
( ~ ( eiw_di @ SY124 @ SY123 )
| ! [SY125: mworld] :
( ~ ( mrel @ SY123 @ SY125 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY125 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY125 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY124 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY124 ) @ SY129 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(137,plain,
! [SV9: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV9 ) )
= $true )
| ( ( ! [SY130: mworld] :
( ~ ( mrel @ SV9 @ SY130 )
| ! [SY131: $i] :
( ~ ( eiw_di @ SY131 @ SY130 )
| ! [SY132: mworld] :
( ~ ( mrel @ SY130 @ SY132 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY132 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(138,plain,
! [SV10: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV10 ) )
= $true )
| ( ( ! [SY133: mworld] :
( ~ ( mrel @ SV10 @ SY133 )
| ! [SY134: $i] :
( ~ ( eiw_di @ SY134 @ SY133 )
| ! [SY135: mworld] :
( ~ ( mrel @ SY133 @ SY135 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY135 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY135 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY134 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY134 @ SY136 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(139,plain,
! [SV11: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV11 ) )
= $true )
| ( ( ! [SY141: mworld] :
( ~ ( mrel @ SV11 @ SY141 )
| ! [SY142: $i] :
( ~ ( eiw_di @ SY142 @ SY141 )
| ! [SY143: mworld] :
( ~ ( mrel @ SY141 @ SY143 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY143 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY142 ) ) @ ( singleton @ SY142 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY143 @ SY145 )
| ( in @ SY142 @ SV25 @ SY145 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(140,plain,
! [SV12: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV12 ) )
= $true )
| ( ( ! [SY146: mworld] :
( ~ ( mrel @ SV12 @ SY146 )
| ! [SY147: $i] :
( ~ ( eiw_di @ SY147 @ SY146 )
| ! [SY148: mworld] :
( ~ ( mrel @ SY146 @ SY148 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY148 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY148 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY147 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY147 @ SY149 ) @ SY152 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(141,plain,
! [SV13: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV13 ) )
= $true )
| ( ( ! [SY153: mworld] :
( ~ ( mrel @ SV13 @ SY153 )
| ! [SY154: $i] :
( ~ ( eiw_di @ SY154 @ SY153 )
| ! [SY155: mworld] :
( ~ ( mrel @ SY153 @ SY155 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY155 @ SY156 )
| ( qmltpeq @ SV27 @ SY154 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY155 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY155 @ SX5 )
| ( empty @ SY154 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(142,plain,
! [SV14: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV14 ) )
= $true )
| ( ( ! [SY159: mworld] :
( ~ ( mrel @ SV14 @ SY159 )
| ! [SY160: $i] :
( ~ ( eiw_di @ SY160 @ SY159 )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY161 @ SY162 )
| ( qmltpeq @ SV28 @ SY160 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY161 @ SY163 )
| ( qmltpeq @ SY160 @ SV28 @ SY163 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(143,plain,
! [SV15: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV15 ) )
= $true )
| ( ( ! [SY164: mworld] :
( ~ ( mrel @ SV15 @ SY164 )
| ! [SY165: $i] :
( ~ ( eiw_di @ SY165 @ SY164 )
| ! [SY166: mworld] :
( ~ ( mrel @ SY164 @ SY166 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY166 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY166 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY165 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY165 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(144,plain,
! [SV3: mworld,SV17: $i] :
( ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( ! [SY95: mworld] :
( ~ ( mrel @ SV3 @ SY95 )
| ! [SY96: $i] :
( ~ ( eiw_di @ SY96 @ SY95 )
| ! [SY97: mworld] :
( ~ ( mrel @ SY95 @ SY97 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY97 @ SY98 )
| ( qmltpeq @ SV17 @ SY96 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY97 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY96 ) @ SY99 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(145,plain,
! [SV4: mworld,SV18: $i] :
( ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( ! [SY100: mworld] :
( ~ ( mrel @ SV4 @ SY100 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SY100 )
| ! [SY102: mworld] :
( ~ ( mrel @ SY100 @ SY102 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY102 @ SY103 )
| ( in @ SV18 @ SY101 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY102 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY101 @ SV18 @ SY105 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(146,plain,
( ( eiw_di @ sK5_SY86 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(147,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK6_SY106 )
| ! [SY172: $i] :
( ~ ( eiw_di @ SY172 @ sK6_SY106 )
| ! [SY173: mworld] :
( ~ ( mrel @ sK6_SY106 @ SY173 )
| ~ ! [SY109: mworld] :
( ~ ( mrel @ SY173 @ SY109 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ SY172 ) ) @ ( singleton @ SY172 ) @ SY109 ) )
| ! [SY110: mworld] :
( ~ ( mrel @ SY173 @ SY110 )
| ( in @ SY172 @ sK5_SY86 @ SY110 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(148,plain,
! [SV5: mworld,SV19: $i] :
( ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( ! [SY111: mworld] :
( ~ ( mrel @ SV5 @ SY111 )
| ! [SY112: $i] :
( ~ ( eiw_di @ SY112 @ SY111 )
| ! [SY113: mworld] :
( ~ ( mrel @ SY111 @ SY113 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY113 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY113 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY112 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY112 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(149,plain,
( ( eiw_di @ sK3_SX0 @ mactual )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(150,plain,
( ( ! [SY92: mworld] :
( ~ ( mrel @ mactual @ SY92 )
| ( empty @ sK3_SX0 @ SY92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(151,plain,
( ( eiw_di @ sK4_SX0 @ mactual )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(152,plain,
( ( ! [SY93: mworld] :
( ~ ( mrel @ mactual @ SY93 )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ SY93 @ SY94 )
| ( empty @ sK4_SX0 @ SY94 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(153,plain,
! [SV6: mworld,SV20: $i] :
( ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( ! [SY119: mworld] :
( ~ ( mrel @ SV6 @ SY119 )
| ! [SY120: $i] :
( ~ ( eiw_di @ SY120 @ SY119 )
| ! [SY121: mworld] :
( ~ ( mrel @ SY119 @ SY121 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY120 ) @ ( set_intersection2 @ SY120 @ SV20 ) @ SY121 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(154,plain,
! [SV7: mworld,SV21: $i] :
( ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( ! [SY122: mworld] :
( ~ ( mrel @ SV7 @ SY122 )
| ( qmltpeq @ SV21 @ SV21 @ SY122 ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(155,plain,
! [SV8: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( ! [SY123: mworld] :
( ~ ( mrel @ SV8 @ SY123 )
| ! [SY124: $i] :
( ~ ( eiw_di @ SY124 @ SY123 )
| ! [SY125: mworld] :
( ~ ( mrel @ SY123 @ SY125 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY125 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY125 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY124 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY124 ) @ SY129 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(156,plain,
! [SV9: mworld,SV23: $i] :
( ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( ! [SY130: mworld] :
( ~ ( mrel @ SV9 @ SY130 )
| ! [SY131: $i] :
( ~ ( eiw_di @ SY131 @ SY130 )
| ! [SY132: mworld] :
( ~ ( mrel @ SY130 @ SY132 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY132 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(157,plain,
! [SV10: mworld,SV24: $i] :
( ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( ! [SY133: mworld] :
( ~ ( mrel @ SV10 @ SY133 )
| ! [SY134: $i] :
( ~ ( eiw_di @ SY134 @ SY133 )
| ! [SY135: mworld] :
( ~ ( mrel @ SY133 @ SY135 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY135 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY135 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY134 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY134 @ SY136 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(158,plain,
! [SV11: mworld,SV25: $i] :
( ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( ! [SY141: mworld] :
( ~ ( mrel @ SV11 @ SY141 )
| ! [SY142: $i] :
( ~ ( eiw_di @ SY142 @ SY141 )
| ! [SY143: mworld] :
( ~ ( mrel @ SY141 @ SY143 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY143 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY142 ) ) @ ( singleton @ SY142 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY143 @ SY145 )
| ( in @ SY142 @ SV25 @ SY145 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(159,plain,
! [SV12: mworld,SV26: $i] :
( ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( ! [SY146: mworld] :
( ~ ( mrel @ SV12 @ SY146 )
| ! [SY147: $i] :
( ~ ( eiw_di @ SY147 @ SY146 )
| ! [SY148: mworld] :
( ~ ( mrel @ SY146 @ SY148 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY148 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY148 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY147 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY147 @ SY149 ) @ SY152 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(160,plain,
! [SV13: mworld,SV27: $i] :
( ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( ! [SY153: mworld] :
( ~ ( mrel @ SV13 @ SY153 )
| ! [SY154: $i] :
( ~ ( eiw_di @ SY154 @ SY153 )
| ! [SY155: mworld] :
( ~ ( mrel @ SY153 @ SY155 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY155 @ SY156 )
| ( qmltpeq @ SV27 @ SY154 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY155 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY155 @ SX5 )
| ( empty @ SY154 @ SX5 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(161,plain,
! [SV14: mworld,SV28: $i] :
( ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( ! [SY159: mworld] :
( ~ ( mrel @ SV14 @ SY159 )
| ! [SY160: $i] :
( ~ ( eiw_di @ SY160 @ SY159 )
| ! [SY161: mworld] :
( ~ ( mrel @ SY159 @ SY161 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY161 @ SY162 )
| ( qmltpeq @ SV28 @ SY160 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY161 @ SY163 )
| ( qmltpeq @ SY160 @ SV28 @ SY163 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(162,plain,
! [SV15: mworld,SV29: $i] :
( ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( ! [SY164: mworld] :
( ~ ( mrel @ SV15 @ SY164 )
| ! [SY165: $i] :
( ~ ( eiw_di @ SY165 @ SY164 )
| ! [SY166: mworld] :
( ~ ( mrel @ SY164 @ SY166 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY166 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY166 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY165 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY165 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(163,plain,
! [SV17: $i,SV30: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV30 )
| ! [SY176: $i] :
( ~ ( eiw_di @ SY176 @ SV30 )
| ! [SY177: mworld] :
( ~ ( mrel @ SV30 @ SY177 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY177 @ SY98 )
| ( qmltpeq @ SV17 @ SY176 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY177 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY176 ) @ SY99 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(164,plain,
! [SV18: $i,SV31: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV31 )
| ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SV31 )
| ! [SY181: mworld] :
( ~ ( mrel @ SV31 @ SY181 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY181 @ SY103 )
| ( in @ SV18 @ SY180 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY181 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY180 @ SV18 @ SY105 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(165,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK6_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(166,plain,
( ( ! [SY172: $i] :
( ~ ( eiw_di @ SY172 @ sK6_SY106 )
| ! [SY173: mworld] :
( ~ ( mrel @ sK6_SY106 @ SY173 )
| ~ ! [SY109: mworld] :
( ~ ( mrel @ SY173 @ SY109 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ SY172 ) ) @ ( singleton @ SY172 ) @ SY109 ) )
| ! [SY110: mworld] :
( ~ ( mrel @ SY173 @ SY110 )
| ( in @ SY172 @ sK5_SY86 @ SY110 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(167,plain,
! [SV19: $i,SV32: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV32 )
| ! [SY185: $i] :
( ~ ( eiw_di @ SY185 @ SV32 )
| ! [SY186: mworld] :
( ~ ( mrel @ SV32 @ SY186 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY186 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY186 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY185 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY185 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(168,plain,
! [SV33: mworld] :
( ( ~ ( mrel @ mactual @ SV33 )
| ( empty @ sK3_SX0 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(169,plain,
! [SV34: mworld] :
( ( ~ ( mrel @ mactual @ SV34 )
| ~ ! [SY192: mworld] :
( ~ ( mrel @ SV34 @ SY192 )
| ( empty @ sK4_SX0 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(170,plain,
! [SV20: $i,SV35: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV35 )
| ! [SY193: $i] :
( ~ ( eiw_di @ SY193 @ SV35 )
| ! [SY194: mworld] :
( ~ ( mrel @ SV35 @ SY194 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY193 ) @ ( set_intersection2 @ SY193 @ SV20 ) @ SY194 ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(171,plain,
! [SV21: $i,SV36: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV36 )
| ( qmltpeq @ SV21 @ SV21 @ SV36 ) )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(172,plain,
! [SV22: $i,SV37: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV37 )
| ! [SY195: $i] :
( ~ ( eiw_di @ SY195 @ SV37 )
| ! [SY196: mworld] :
( ~ ( mrel @ SV37 @ SY196 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY196 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY196 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY195 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY195 ) @ SY129 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(173,plain,
! [SV23: $i,SV38: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV38 )
| ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SV38 )
| ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(174,plain,
! [SV24: $i,SV39: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV39 )
| ! [SY203: $i] :
( ~ ( eiw_di @ SY203 @ SV39 )
| ! [SY204: mworld] :
( ~ ( mrel @ SV39 @ SY204 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY204 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY204 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY203 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY203 @ SY136 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(175,plain,
! [SV25: $i,SV40: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV40 )
| ! [SY210: $i] :
( ~ ( eiw_di @ SY210 @ SV40 )
| ! [SY211: mworld] :
( ~ ( mrel @ SV40 @ SY211 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY211 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY210 ) ) @ ( singleton @ SY210 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY211 @ SY145 )
| ( in @ SY210 @ SV25 @ SY145 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(176,plain,
! [SV26: $i,SV41: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV41 )
| ! [SY214: $i] :
( ~ ( eiw_di @ SY214 @ SV41 )
| ! [SY215: mworld] :
( ~ ( mrel @ SV41 @ SY215 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY215 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY215 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY214 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY214 @ SY149 ) @ SY152 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV27: $i,SV42: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV42 )
| ! [SY220: $i] :
( ~ ( eiw_di @ SY220 @ SV42 )
| ! [SY221: mworld] :
( ~ ( mrel @ SV42 @ SY221 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY221 @ SY156 )
| ( qmltpeq @ SV27 @ SY220 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY221 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY221 @ SX5 )
| ( empty @ SY220 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(178,plain,
! [SV28: $i,SV43: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV43 )
| ! [SY225: $i] :
( ~ ( eiw_di @ SY225 @ SV43 )
| ! [SY226: mworld] :
( ~ ( mrel @ SV43 @ SY226 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY226 @ SY162 )
| ( qmltpeq @ SV28 @ SY225 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY226 @ SY163 )
| ( qmltpeq @ SY225 @ SV28 @ SY163 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(179,plain,
! [SV29: $i,SV44: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV44 )
| ! [SY229: $i] :
( ~ ( eiw_di @ SY229 @ SV44 )
| ! [SY230: mworld] :
( ~ ( mrel @ SV44 @ SY230 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY230 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY230 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY229 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY229 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(180,plain,
! [SV17: $i,SV30: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV30 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ( eiw_di @ SY176 @ SV30 )
| ! [SY177: mworld] :
( ~ ( mrel @ SV30 @ SY177 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY177 @ SY98 )
| ( qmltpeq @ SV17 @ SY176 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY177 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY176 ) @ SY99 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(181,plain,
! [SV18: $i,SV31: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV31 ) )
= $true )
| ( ( ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SV31 )
| ! [SY181: mworld] :
( ~ ( mrel @ SV31 @ SY181 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY181 @ SY103 )
| ( in @ SV18 @ SY180 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY181 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY180 @ SV18 @ SY105 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(182,plain,
( ( mrel @ sK2_SX0 @ sK6_SY106 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(183,plain,
( ( ~ ( eiw_di @ sK7_SY172 @ sK6_SY106 )
| ! [SY236: mworld] :
( ~ ( mrel @ sK6_SY106 @ SY236 )
| ~ ! [SY237: mworld] :
( ~ ( mrel @ SY236 @ SY237 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY237 ) )
| ! [SY238: mworld] :
( ~ ( mrel @ SY236 @ SY238 )
| ( in @ sK7_SY172 @ sK5_SY86 @ SY238 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(184,plain,
! [SV19: $i,SV32: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV32 ) )
= $true )
| ( ( ! [SY185: $i] :
( ~ ( eiw_di @ SY185 @ SV32 )
| ! [SY186: mworld] :
( ~ ( mrel @ SV32 @ SY186 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY186 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY186 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY185 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY185 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(185,plain,
! [SV33: mworld] :
( ( ( ~ ( mrel @ mactual @ SV33 ) )
= $true )
| ( ( empty @ sK3_SX0 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(186,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ mactual @ SV34 ) )
= $true )
| ( ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SV34 @ SY192 )
| ( empty @ sK4_SX0 @ SY192 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV20: $i,SV35: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV35 ) )
= $true )
| ( ( ! [SY193: $i] :
( ~ ( eiw_di @ SY193 @ SV35 )
| ! [SY194: mworld] :
( ~ ( mrel @ SV35 @ SY194 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY193 ) @ ( set_intersection2 @ SY193 @ SV20 ) @ SY194 ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV21: $i,SV36: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV36 ) )
= $true )
| ( ( qmltpeq @ SV21 @ SV21 @ SV36 )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV22: $i,SV37: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV37 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( eiw_di @ SY195 @ SV37 )
| ! [SY196: mworld] :
( ~ ( mrel @ SV37 @ SY196 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY196 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY196 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY195 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY195 ) @ SY129 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(190,plain,
! [SV23: $i,SV38: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV38 ) )
= $true )
| ( ( ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SV38 )
| ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(191,plain,
! [SV24: $i,SV39: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV39 ) )
= $true )
| ( ( ! [SY203: $i] :
( ~ ( eiw_di @ SY203 @ SV39 )
| ! [SY204: mworld] :
( ~ ( mrel @ SV39 @ SY204 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY204 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY204 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY203 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY203 @ SY136 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(192,plain,
! [SV25: $i,SV40: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV40 ) )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( eiw_di @ SY210 @ SV40 )
| ! [SY211: mworld] :
( ~ ( mrel @ SV40 @ SY211 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY211 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY210 ) ) @ ( singleton @ SY210 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY211 @ SY145 )
| ( in @ SY210 @ SV25 @ SY145 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(193,plain,
! [SV26: $i,SV41: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV41 ) )
= $true )
| ( ( ! [SY214: $i] :
( ~ ( eiw_di @ SY214 @ SV41 )
| ! [SY215: mworld] :
( ~ ( mrel @ SV41 @ SY215 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY215 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY215 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY214 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY214 @ SY149 ) @ SY152 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(194,plain,
! [SV27: $i,SV42: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV42 ) )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( eiw_di @ SY220 @ SV42 )
| ! [SY221: mworld] :
( ~ ( mrel @ SV42 @ SY221 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY221 @ SY156 )
| ( qmltpeq @ SV27 @ SY220 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY221 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY221 @ SX5 )
| ( empty @ SY220 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(195,plain,
! [SV28: $i,SV43: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV43 ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( eiw_di @ SY225 @ SV43 )
| ! [SY226: mworld] :
( ~ ( mrel @ SV43 @ SY226 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY226 @ SY162 )
| ( qmltpeq @ SV28 @ SY225 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY226 @ SY163 )
| ( qmltpeq @ SY225 @ SV28 @ SY163 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(196,plain,
! [SV29: $i,SV44: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV44 ) )
= $true )
| ( ( ! [SY229: $i] :
( ~ ( eiw_di @ SY229 @ SV44 )
| ! [SY230: mworld] :
( ~ ( mrel @ SV44 @ SY230 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY230 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY230 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY229 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY229 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(197,plain,
! [SV17: $i,SV30: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( ! [SY176: $i] :
( ~ ( eiw_di @ SY176 @ SV30 )
| ! [SY177: mworld] :
( ~ ( mrel @ SV30 @ SY177 )
| ~ ! [SY98: mworld] :
( ~ ( mrel @ SY177 @ SY98 )
| ( qmltpeq @ SV17 @ SY176 @ SY98 ) )
| ! [SY99: mworld] :
( ~ ( mrel @ SY177 @ SY99 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SY176 ) @ SY99 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(198,plain,
! [SV18: $i,SV31: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( ! [SY180: $i] :
( ~ ( eiw_di @ SY180 @ SV31 )
| ! [SY181: mworld] :
( ~ ( mrel @ SV31 @ SY181 )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ SY181 @ SY103 )
| ( in @ SV18 @ SY180 @ SY103 ) )
| ! [SY104: mworld] :
( ~ ( mrel @ SY181 @ SY104 )
| ~ ! [SY105: mworld] :
( ~ ( mrel @ SY104 @ SY105 )
| ( in @ SY180 @ SV18 @ SY105 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(199,plain,
( ( ~ ( eiw_di @ sK7_SY172 @ sK6_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(200,plain,
( ( ! [SY236: mworld] :
( ~ ( mrel @ sK6_SY106 @ SY236 )
| ~ ! [SY237: mworld] :
( ~ ( mrel @ SY236 @ SY237 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY237 ) )
| ! [SY238: mworld] :
( ~ ( mrel @ SY236 @ SY238 )
| ( in @ sK7_SY172 @ sK5_SY86 @ SY238 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(201,plain,
! [SV19: $i,SV32: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( ! [SY185: $i] :
( ~ ( eiw_di @ SY185 @ SV32 )
| ! [SY186: mworld] :
( ~ ( mrel @ SV32 @ SY186 )
| ! [SY114: $i] :
( ~ ( eiw_di @ SY114 @ SY186 )
| ! [SY115: mworld] :
( ~ ( mrel @ SY186 @ SY115 )
| ~ ~ ( ~ ! [SY116: mworld] :
( ~ ( mrel @ SY115 @ SY116 )
| ( qmltpeq @ SV19 @ SY185 @ SY116 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY115 @ SX7 )
| ( qmltpeq @ SY185 @ SY114 @ SX7 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY115 @ SY118 )
| ( qmltpeq @ SV19 @ SY114 @ SY118 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(202,plain,
! [SV33: mworld] :
( ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( empty @ sK3_SX0 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(203,plain,
! [SV34: mworld] :
( ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ~ ! [SY192: mworld] :
( ~ ( mrel @ SV34 @ SY192 )
| ( empty @ sK4_SX0 @ SY192 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(204,plain,
! [SV20: $i,SV35: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( ! [SY193: $i] :
( ~ ( eiw_di @ SY193 @ SV35 )
| ! [SY194: mworld] :
( ~ ( mrel @ SV35 @ SY194 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SY193 ) @ ( set_intersection2 @ SY193 @ SV20 ) @ SY194 ) ) ) )
= $true )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(205,plain,
! [SV21: $i,SV36: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV36 )
= $false )
| ( ( qmltpeq @ SV21 @ SV21 @ SV36 )
= $true )
| ( ( eiw_di @ SV21 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV22: $i,SV37: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( ! [SY195: $i] :
( ~ ( eiw_di @ SY195 @ SV37 )
| ! [SY196: mworld] :
( ~ ( mrel @ SV37 @ SY196 )
| ! [SY126: $i] :
( ~ ( eiw_di @ SY126 @ SY196 )
| ! [SY127: mworld] :
( ~ ( mrel @ SY196 @ SY127 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SY127 @ SY128 )
| ( qmltpeq @ SV22 @ SY195 @ SY128 ) )
| ! [SY129: mworld] :
( ~ ( mrel @ SY127 @ SY129 )
| ( qmltpeq @ ( set_intersection2 @ SY126 @ SV22 ) @ ( set_intersection2 @ SY126 @ SY195 ) @ SY129 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV23: $i,SV38: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( ! [SY201: $i] :
( ~ ( eiw_di @ SY201 @ SV38 )
| ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(208,plain,
! [SV24: $i,SV39: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( ! [SY203: $i] :
( ~ ( eiw_di @ SY203 @ SV39 )
| ! [SY204: mworld] :
( ~ ( mrel @ SV39 @ SY204 )
| ! [SY136: $i] :
( ~ ( eiw_di @ SY136 @ SY204 )
| ! [SY137: mworld] :
( ~ ( mrel @ SY204 @ SY137 )
| ~ ~ ( ~ ! [SY138: mworld] :
( ~ ( mrel @ SY137 @ SY138 )
| ( qmltpeq @ SV24 @ SY203 @ SY138 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY137 @ SY139 )
| ( in @ SV24 @ SY136 @ SY139 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY137 @ SX7 )
| ( in @ SY203 @ SY136 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(209,plain,
! [SV25: $i,SV40: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( ! [SY210: $i] :
( ~ ( eiw_di @ SY210 @ SV40 )
| ! [SY211: mworld] :
( ~ ( mrel @ SV40 @ SY211 )
| ~ ! [SY144: mworld] :
( ~ ( mrel @ SY211 @ SY144 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SY210 ) ) @ ( singleton @ SY210 ) @ SY144 ) )
| ! [SY145: mworld] :
( ~ ( mrel @ SY211 @ SY145 )
| ( in @ SY210 @ SV25 @ SY145 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(210,plain,
! [SV26: $i,SV41: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( ! [SY214: $i] :
( ~ ( eiw_di @ SY214 @ SV41 )
| ! [SY215: mworld] :
( ~ ( mrel @ SV41 @ SY215 )
| ! [SY149: $i] :
( ~ ( eiw_di @ SY149 @ SY215 )
| ! [SY150: mworld] :
( ~ ( mrel @ SY215 @ SY150 )
| ~ ! [SY151: mworld] :
( ~ ( mrel @ SY150 @ SY151 )
| ( qmltpeq @ SV26 @ SY214 @ SY151 ) )
| ! [SY152: mworld] :
( ~ ( mrel @ SY150 @ SY152 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY149 ) @ ( set_intersection2 @ SY214 @ SY149 ) @ SY152 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(211,plain,
! [SV27: $i,SV42: mworld,SV13: mworld] :
( ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( ! [SY220: $i] :
( ~ ( eiw_di @ SY220 @ SV42 )
| ! [SY221: mworld] :
( ~ ( mrel @ SV42 @ SY221 )
| ~ ~ ( ~ ! [SY156: mworld] :
( ~ ( mrel @ SY221 @ SY156 )
| ( qmltpeq @ SV27 @ SY220 @ SY156 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY221 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY221 @ SX5 )
| ( empty @ SY220 @ SX5 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV28: $i,SV43: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( ! [SY225: $i] :
( ~ ( eiw_di @ SY225 @ SV43 )
| ! [SY226: mworld] :
( ~ ( mrel @ SV43 @ SY226 )
| ~ ! [SY162: mworld] :
( ~ ( mrel @ SY226 @ SY162 )
| ( qmltpeq @ SV28 @ SY225 @ SY162 ) )
| ! [SY163: mworld] :
( ~ ( mrel @ SY226 @ SY163 )
| ( qmltpeq @ SY225 @ SV28 @ SY163 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(213,plain,
! [SV29: $i,SV44: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( ! [SY229: $i] :
( ~ ( eiw_di @ SY229 @ SV44 )
| ! [SY230: mworld] :
( ~ ( mrel @ SV44 @ SY230 )
| ! [SY167: $i] :
( ~ ( eiw_di @ SY167 @ SY230 )
| ! [SY168: mworld] :
( ~ ( mrel @ SY230 @ SY168 )
| ~ ~ ( ~ ! [SY169: mworld] :
( ~ ( mrel @ SY168 @ SY169 )
| ( qmltpeq @ SV29 @ SY229 @ SY169 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY168 @ SY170 )
| ( in @ SY167 @ SV29 @ SY170 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY168 @ SX7 )
| ( in @ SY167 @ SY229 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(214,plain,
! [SV3: mworld,SV17: $i,SV30: mworld,SV45: $i] :
( ( ( ~ ( eiw_di @ SV45 @ SV30 )
| ! [SY239: mworld] :
( ~ ( mrel @ SV30 @ SY239 )
| ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV17 @ SV45 @ SY240 ) )
| ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY241 ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(215,plain,
! [SV4: mworld,SV18: $i,SV31: mworld,SV46: $i] :
( ( ( ~ ( eiw_di @ SV46 @ SV31 )
| ! [SY242: mworld] :
( ~ ( mrel @ SV31 @ SY242 )
| ~ ! [SY243: mworld] :
( ~ ( mrel @ SY242 @ SY243 )
| ( in @ SV18 @ SV46 @ SY243 ) )
| ! [SY244: mworld] :
( ~ ( mrel @ SY242 @ SY244 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY244 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(216,plain,
( ( eiw_di @ sK7_SY172 @ sK6_SY106 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(217,plain,
( ( ~ ( mrel @ sK6_SY106 @ sK8_SY236 )
| ~ ! [SY246: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY246 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY246 ) )
| ! [SY247: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY247 )
| ( in @ sK7_SY172 @ sK5_SY86 @ SY247 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(218,plain,
! [SV5: mworld,SV19: $i,SV32: mworld,SV47: $i] :
( ( ( ~ ( eiw_di @ SV47 @ SV32 )
| ! [SY248: mworld] :
( ~ ( mrel @ SV32 @ SY248 )
| ! [SY249: $i] :
( ~ ( eiw_di @ SY249 @ SY248 )
| ! [SY250: mworld] :
( ~ ( mrel @ SY248 @ SY250 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY250 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ( qmltpeq @ SV47 @ SY249 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY250 @ SY118 )
| ( qmltpeq @ SV19 @ SY249 @ SY118 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV34: mworld] :
( ( ( ! [SY192: mworld] :
( ~ ( mrel @ SV34 @ SY192 )
| ( empty @ sK4_SX0 @ SY192 ) ) )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(220,plain,
! [SV6: mworld,SV20: $i,SV35: mworld,SV48: $i] :
( ( ( ~ ( eiw_di @ SV48 @ SV35 )
| ! [SY254: mworld] :
( ~ ( mrel @ SV35 @ SY254 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SY254 ) ) )
= $true )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(221,plain,
! [SV8: mworld,SV22: $i,SV37: mworld,SV49: $i] :
( ( ( ~ ( eiw_di @ SV49 @ SV37 )
| ! [SY255: mworld] :
( ~ ( mrel @ SV37 @ SY255 )
| ! [SY256: $i] :
( ~ ( eiw_di @ SY256 @ SY255 )
| ! [SY257: mworld] :
( ~ ( mrel @ SY255 @ SY257 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY257 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY257 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY256 @ SV22 ) @ ( set_intersection2 @ SY256 @ SV49 ) @ SY259 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(222,plain,
! [SV9: mworld,SV23: $i,SV38: mworld,SV50: $i] :
( ( ( ~ ( eiw_di @ SV50 @ SV38 )
| ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(223,plain,
! [SV10: mworld,SV24: $i,SV39: mworld,SV51: $i] :
( ( ( ~ ( eiw_di @ SV51 @ SV39 )
| ! [SY261: mworld] :
( ~ ( mrel @ SV39 @ SY261 )
| ! [SY262: $i] :
( ~ ( eiw_di @ SY262 @ SY261 )
| ! [SY263: mworld] :
( ~ ( mrel @ SY261 @ SY263 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY263 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY263 @ SY139 )
| ( in @ SV24 @ SY262 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY263 @ SY266 )
| ( in @ SV51 @ SY262 @ SY266 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(224,plain,
! [SV11: mworld,SV25: $i,SV40: mworld,SV52: $i] :
( ( ( ~ ( eiw_di @ SV52 @ SV40 )
| ! [SY267: mworld] :
( ~ ( mrel @ SV40 @ SY267 )
| ~ ! [SY268: mworld] :
( ~ ( mrel @ SY267 @ SY268 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY268 ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY267 @ SY269 )
| ( in @ SV52 @ SV25 @ SY269 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(225,plain,
! [SV12: mworld,SV26: $i,SV41: mworld,SV53: $i] :
( ( ( ~ ( eiw_di @ SV53 @ SV41 )
| ! [SY270: mworld] :
( ~ ( mrel @ SV41 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY272 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY272 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY271 ) @ ( set_intersection2 @ SV53 @ SY271 ) @ SY274 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(226,plain,
! [SV13: mworld,SV27: $i,SV42: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV42 )
| ! [SY275: mworld] :
( ~ ( mrel @ SV42 @ SY275 )
| ~ ~ ( ~ ! [SY276: mworld] :
( ~ ( mrel @ SY275 @ SY276 )
| ( qmltpeq @ SV27 @ SV54 @ SY276 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY275 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SY278: mworld] :
( ~ ( mrel @ SY275 @ SY278 )
| ( empty @ SV54 @ SY278 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(227,plain,
! [SV14: mworld,SV28: $i,SV43: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV43 )
| ! [SY279: mworld] :
( ~ ( mrel @ SV43 @ SY279 )
| ~ ! [SY280: mworld] :
( ~ ( mrel @ SY279 @ SY280 )
| ( qmltpeq @ SV28 @ SV55 @ SY280 ) )
| ! [SY281: mworld] :
( ~ ( mrel @ SY279 @ SY281 )
| ( qmltpeq @ SV55 @ SV28 @ SY281 ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(228,plain,
! [SV15: mworld,SV29: $i,SV44: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV44 )
| ! [SY282: mworld] :
( ~ ( mrel @ SV44 @ SY282 )
| ! [SY283: $i] :
( ~ ( eiw_di @ SY283 @ SY282 )
| ! [SY284: mworld] :
( ~ ( mrel @ SY282 @ SY284 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY284 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY284 @ SY170 )
| ( in @ SY283 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY284 @ SY287 )
| ( in @ SY283 @ SV56 @ SY287 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(229,plain,
! [SV3: mworld,SV17: $i,SV30: mworld,SV45: $i] :
( ( ( ~ ( eiw_di @ SV45 @ SV30 ) )
= $true )
| ( ( ! [SY239: mworld] :
( ~ ( mrel @ SV30 @ SY239 )
| ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV17 @ SV45 @ SY240 ) )
| ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY241 ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(230,plain,
! [SV4: mworld,SV18: $i,SV31: mworld,SV46: $i] :
( ( ( ~ ( eiw_di @ SV46 @ SV31 ) )
= $true )
| ( ( ! [SY242: mworld] :
( ~ ( mrel @ SV31 @ SY242 )
| ~ ! [SY243: mworld] :
( ~ ( mrel @ SY242 @ SY243 )
| ( in @ SV18 @ SV46 @ SY243 ) )
| ! [SY244: mworld] :
( ~ ( mrel @ SY242 @ SY244 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY244 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(231,plain,
( ( ~ ( mrel @ sK6_SY106 @ sK8_SY236 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(232,plain,
( ( ~ ! [SY246: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY246 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY246 ) )
| ! [SY247: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY247 )
| ( in @ sK7_SY172 @ sK5_SY86 @ SY247 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(233,plain,
! [SV5: mworld,SV19: $i,SV32: mworld,SV47: $i] :
( ( ( ~ ( eiw_di @ SV47 @ SV32 ) )
= $true )
| ( ( ! [SY248: mworld] :
( ~ ( mrel @ SV32 @ SY248 )
| ! [SY249: $i] :
( ~ ( eiw_di @ SY249 @ SY248 )
| ! [SY250: mworld] :
( ~ ( mrel @ SY248 @ SY250 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY250 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ( qmltpeq @ SV47 @ SY249 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY250 @ SY118 )
| ( qmltpeq @ SV19 @ SY249 @ SY118 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(234,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ ( sK9_SY192 @ SV34 ) )
| ( empty @ sK4_SX0 @ ( sK9_SY192 @ SV34 ) ) )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(235,plain,
! [SV6: mworld,SV20: $i,SV35: mworld,SV48: $i] :
( ( ( ~ ( eiw_di @ SV48 @ SV35 ) )
= $true )
| ( ( ! [SY254: mworld] :
( ~ ( mrel @ SV35 @ SY254 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SY254 ) ) )
= $true )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(236,plain,
! [SV8: mworld,SV22: $i,SV37: mworld,SV49: $i] :
( ( ( ~ ( eiw_di @ SV49 @ SV37 ) )
= $true )
| ( ( ! [SY255: mworld] :
( ~ ( mrel @ SV37 @ SY255 )
| ! [SY256: $i] :
( ~ ( eiw_di @ SY256 @ SY255 )
| ! [SY257: mworld] :
( ~ ( mrel @ SY255 @ SY257 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY257 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY257 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY256 @ SV22 ) @ ( set_intersection2 @ SY256 @ SV49 ) @ SY259 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(237,plain,
! [SV9: mworld,SV23: $i,SV38: mworld,SV50: $i] :
( ( ( ~ ( eiw_di @ SV50 @ SV38 ) )
= $true )
| ( ( ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(238,plain,
! [SV10: mworld,SV24: $i,SV39: mworld,SV51: $i] :
( ( ( ~ ( eiw_di @ SV51 @ SV39 ) )
= $true )
| ( ( ! [SY261: mworld] :
( ~ ( mrel @ SV39 @ SY261 )
| ! [SY262: $i] :
( ~ ( eiw_di @ SY262 @ SY261 )
| ! [SY263: mworld] :
( ~ ( mrel @ SY261 @ SY263 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY263 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY263 @ SY139 )
| ( in @ SV24 @ SY262 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY263 @ SY266 )
| ( in @ SV51 @ SY262 @ SY266 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(239,plain,
! [SV11: mworld,SV25: $i,SV40: mworld,SV52: $i] :
( ( ( ~ ( eiw_di @ SV52 @ SV40 ) )
= $true )
| ( ( ! [SY267: mworld] :
( ~ ( mrel @ SV40 @ SY267 )
| ~ ! [SY268: mworld] :
( ~ ( mrel @ SY267 @ SY268 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY268 ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY267 @ SY269 )
| ( in @ SV52 @ SV25 @ SY269 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(240,plain,
! [SV12: mworld,SV26: $i,SV41: mworld,SV53: $i] :
( ( ( ~ ( eiw_di @ SV53 @ SV41 ) )
= $true )
| ( ( ! [SY270: mworld] :
( ~ ( mrel @ SV41 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY272 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY272 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY271 ) @ ( set_intersection2 @ SV53 @ SY271 ) @ SY274 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(241,plain,
! [SV13: mworld,SV27: $i,SV42: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV42 ) )
= $true )
| ( ( ! [SY275: mworld] :
( ~ ( mrel @ SV42 @ SY275 )
| ~ ~ ( ~ ! [SY276: mworld] :
( ~ ( mrel @ SY275 @ SY276 )
| ( qmltpeq @ SV27 @ SV54 @ SY276 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY275 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SY278: mworld] :
( ~ ( mrel @ SY275 @ SY278 )
| ( empty @ SV54 @ SY278 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(242,plain,
! [SV14: mworld,SV28: $i,SV43: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV43 ) )
= $true )
| ( ( ! [SY279: mworld] :
( ~ ( mrel @ SV43 @ SY279 )
| ~ ! [SY280: mworld] :
( ~ ( mrel @ SY279 @ SY280 )
| ( qmltpeq @ SV28 @ SV55 @ SY280 ) )
| ! [SY281: mworld] :
( ~ ( mrel @ SY279 @ SY281 )
| ( qmltpeq @ SV55 @ SV28 @ SY281 ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(243,plain,
! [SV15: mworld,SV29: $i,SV44: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV44 ) )
= $true )
| ( ( ! [SY282: mworld] :
( ~ ( mrel @ SV44 @ SY282 )
| ! [SY283: $i] :
( ~ ( eiw_di @ SY283 @ SY282 )
| ! [SY284: mworld] :
( ~ ( mrel @ SY282 @ SY284 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY284 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY284 @ SY170 )
| ( in @ SY283 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY284 @ SY287 )
| ( in @ SY283 @ SV56 @ SY287 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(244,plain,
! [SV3: mworld,SV17: $i,SV30: mworld,SV45: $i] :
( ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( ! [SY239: mworld] :
( ~ ( mrel @ SV30 @ SY239 )
| ~ ! [SY240: mworld] :
( ~ ( mrel @ SY239 @ SY240 )
| ( qmltpeq @ SV17 @ SV45 @ SY240 ) )
| ! [SY241: mworld] :
( ~ ( mrel @ SY239 @ SY241 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY241 ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(245,plain,
! [SV4: mworld,SV18: $i,SV31: mworld,SV46: $i] :
( ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( ! [SY242: mworld] :
( ~ ( mrel @ SV31 @ SY242 )
| ~ ! [SY243: mworld] :
( ~ ( mrel @ SY242 @ SY243 )
| ( in @ SV18 @ SV46 @ SY243 ) )
| ! [SY244: mworld] :
( ~ ( mrel @ SY242 @ SY244 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY244 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(246,plain,
( ( mrel @ sK6_SY106 @ sK8_SY236 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(247,plain,
( ( ~ ! [SY246: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY246 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY246 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(248,plain,
( ( ! [SY247: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY247 )
| ( in @ sK7_SY172 @ sK5_SY86 @ SY247 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(249,plain,
! [SV5: mworld,SV19: $i,SV32: mworld,SV47: $i] :
( ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( ! [SY248: mworld] :
( ~ ( mrel @ SV32 @ SY248 )
| ! [SY249: $i] :
( ~ ( eiw_di @ SY249 @ SY248 )
| ! [SY250: mworld] :
( ~ ( mrel @ SY248 @ SY250 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY250 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY250 @ SY252 )
| ( qmltpeq @ SV47 @ SY249 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY250 @ SY118 )
| ( qmltpeq @ SV19 @ SY249 @ SY118 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(250,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ ( sK9_SY192 @ SV34 ) ) )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(251,plain,
! [SV34: mworld] :
( ( ( empty @ sK4_SX0 @ ( sK9_SY192 @ SV34 ) )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(252,plain,
! [SV6: mworld,SV20: $i,SV35: mworld,SV48: $i] :
( ( ( eiw_di @ SV48 @ SV35 )
= $false )
| ( ( ! [SY254: mworld] :
( ~ ( mrel @ SV35 @ SY254 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SY254 ) ) )
= $true )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(253,plain,
! [SV8: mworld,SV22: $i,SV37: mworld,SV49: $i] :
( ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( ! [SY255: mworld] :
( ~ ( mrel @ SV37 @ SY255 )
| ! [SY256: $i] :
( ~ ( eiw_di @ SY256 @ SY255 )
| ! [SY257: mworld] :
( ~ ( mrel @ SY255 @ SY257 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY257 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY257 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY256 @ SV22 ) @ ( set_intersection2 @ SY256 @ SV49 ) @ SY259 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(254,plain,
! [SV9: mworld,SV23: $i,SV38: mworld,SV50: $i] :
( ( ( eiw_di @ SV50 @ SV38 )
= $false )
| ( ( ! [SY202: mworld] :
( ~ ( mrel @ SV38 @ SY202 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SY202 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(255,plain,
! [SV10: mworld,SV24: $i,SV39: mworld,SV51: $i] :
( ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( ! [SY261: mworld] :
( ~ ( mrel @ SV39 @ SY261 )
| ! [SY262: $i] :
( ~ ( eiw_di @ SY262 @ SY261 )
| ! [SY263: mworld] :
( ~ ( mrel @ SY261 @ SY263 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY263 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY263 @ SY139 )
| ( in @ SV24 @ SY262 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY263 @ SY266 )
| ( in @ SV51 @ SY262 @ SY266 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(256,plain,
! [SV11: mworld,SV25: $i,SV40: mworld,SV52: $i] :
( ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( ! [SY267: mworld] :
( ~ ( mrel @ SV40 @ SY267 )
| ~ ! [SY268: mworld] :
( ~ ( mrel @ SY267 @ SY268 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY268 ) )
| ! [SY269: mworld] :
( ~ ( mrel @ SY267 @ SY269 )
| ( in @ SV52 @ SV25 @ SY269 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(257,plain,
! [SV12: mworld,SV26: $i,SV41: mworld,SV53: $i] :
( ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( ! [SY270: mworld] :
( ~ ( mrel @ SV41 @ SY270 )
| ! [SY271: $i] :
( ~ ( eiw_di @ SY271 @ SY270 )
| ! [SY272: mworld] :
( ~ ( mrel @ SY270 @ SY272 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY272 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY272 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY271 ) @ ( set_intersection2 @ SV53 @ SY271 ) @ SY274 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(258,plain,
! [SV13: mworld,SV27: $i,SV42: mworld,SV54: $i] :
( ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( ! [SY275: mworld] :
( ~ ( mrel @ SV42 @ SY275 )
| ~ ~ ( ~ ! [SY276: mworld] :
( ~ ( mrel @ SY275 @ SY276 )
| ( qmltpeq @ SV27 @ SV54 @ SY276 ) )
| ~ ! [SY157: mworld] :
( ~ ( mrel @ SY275 @ SY157 )
| ( empty @ SV27 @ SY157 ) ) )
| ! [SY278: mworld] :
( ~ ( mrel @ SY275 @ SY278 )
| ( empty @ SV54 @ SY278 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(259,plain,
! [SV14: mworld,SV28: $i,SV43: mworld,SV55: $i] :
( ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( ! [SY279: mworld] :
( ~ ( mrel @ SV43 @ SY279 )
| ~ ! [SY280: mworld] :
( ~ ( mrel @ SY279 @ SY280 )
| ( qmltpeq @ SV28 @ SV55 @ SY280 ) )
| ! [SY281: mworld] :
( ~ ( mrel @ SY279 @ SY281 )
| ( qmltpeq @ SV55 @ SV28 @ SY281 ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(260,plain,
! [SV15: mworld,SV29: $i,SV44: mworld,SV56: $i] :
( ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( ! [SY282: mworld] :
( ~ ( mrel @ SV44 @ SY282 )
| ! [SY283: $i] :
( ~ ( eiw_di @ SY283 @ SY282 )
| ! [SY284: mworld] :
( ~ ( mrel @ SY282 @ SY284 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY284 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY284 @ SY170 )
| ( in @ SY283 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY284 @ SY287 )
| ( in @ SY283 @ SV56 @ SY287 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(261,plain,
! [SV3: mworld,SV45: $i,SV17: $i,SV57: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV57 )
| ~ ! [SY288: mworld] :
( ~ ( mrel @ SV57 @ SY288 )
| ( qmltpeq @ SV17 @ SV45 @ SY288 ) )
| ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(262,plain,
! [SV4: mworld,SV46: $i,SV18: $i,SV58: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV58 )
| ~ ! [SY290: mworld] :
( ~ ( mrel @ SV58 @ SY290 )
| ( in @ SV18 @ SV46 @ SY290 ) )
| ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(263,plain,
( ( ! [SY246: mworld] :
( ~ ( mrel @ sK8_SY236 @ SY246 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SY246 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(264,plain,
( ( ~ ( mrel @ sK8_SY236 @ sK10_SY247 )
| ( in @ sK7_SY172 @ sK5_SY86 @ sK10_SY247 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[248]) ).
thf(265,plain,
! [SV5: mworld,SV47: $i,SV19: $i,SV59: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV59 )
| ! [SY293: $i] :
( ~ ( eiw_di @ SY293 @ SV59 )
| ! [SY294: mworld] :
( ~ ( mrel @ SV59 @ SY294 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY294 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY294 @ SY252 )
| ( qmltpeq @ SV47 @ SY293 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY294 @ SY118 )
| ( qmltpeq @ SV19 @ SY293 @ SY118 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(266,plain,
! [SV34: mworld] :
( ( ( mrel @ SV34 @ ( sK9_SY192 @ SV34 ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(267,plain,
! [SV6: mworld,SV48: $i,SV20: $i,SV60: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV60 )
| ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SV60 ) )
= $true )
| ( ( eiw_di @ SV48 @ SV35 )
= $false )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(268,plain,
! [SV8: mworld,SV49: $i,SV22: $i,SV61: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV61 )
| ! [SY298: $i] :
( ~ ( eiw_di @ SY298 @ SV61 )
| ! [SY299: mworld] :
( ~ ( mrel @ SV61 @ SY299 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY299 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY299 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY298 @ SV22 ) @ ( set_intersection2 @ SY298 @ SV49 ) @ SY259 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(269,plain,
! [SV9: mworld,SV50: $i,SV23: $i,SV62: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV62 )
| ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SV62 ) )
= $true )
| ( ( eiw_di @ SV50 @ SV38 )
= $false )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(270,plain,
! [SV10: mworld,SV51: $i,SV24: $i,SV63: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV63 )
| ! [SY302: $i] :
( ~ ( eiw_di @ SY302 @ SV63 )
| ! [SY303: mworld] :
( ~ ( mrel @ SV63 @ SY303 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY303 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY303 @ SY139 )
| ( in @ SV24 @ SY302 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY303 @ SY266 )
| ( in @ SV51 @ SY302 @ SY266 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(271,plain,
! [SV11: mworld,SV52: $i,SV25: $i,SV64: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV64 )
| ~ ! [SY307: mworld] :
( ~ ( mrel @ SV64 @ SY307 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY307 ) )
| ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(272,plain,
! [SV12: mworld,SV53: $i,SV26: $i,SV65: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV65 )
| ! [SY309: $i] :
( ~ ( eiw_di @ SY309 @ SV65 )
| ! [SY310: mworld] :
( ~ ( mrel @ SV65 @ SY310 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY310 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY310 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY309 ) @ ( set_intersection2 @ SV53 @ SY309 ) @ SY274 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(273,plain,
! [SV13: mworld,SV54: $i,SV27: $i,SV66: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV66 )
| ~ ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
| ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(274,plain,
! [SV14: mworld,SV55: $i,SV28: $i,SV67: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV67 )
| ~ ! [SY316: mworld] :
( ~ ( mrel @ SV67 @ SY316 )
| ( qmltpeq @ SV28 @ SV55 @ SY316 ) )
| ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(275,plain,
! [SV15: mworld,SV56: $i,SV29: $i,SV68: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV68 )
| ! [SY318: $i] :
( ~ ( eiw_di @ SY318 @ SV68 )
| ! [SY319: mworld] :
( ~ ( mrel @ SV68 @ SY319 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY319 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY319 @ SY170 )
| ( in @ SY318 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY319 @ SY287 )
| ( in @ SY318 @ SV56 @ SY287 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(276,plain,
! [SV3: mworld,SV45: $i,SV17: $i,SV57: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV57 ) )
= $true )
| ( ( ~ ! [SY288: mworld] :
( ~ ( mrel @ SV57 @ SY288 )
| ( qmltpeq @ SV17 @ SV45 @ SY288 ) )
| ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(277,plain,
! [SV4: mworld,SV46: $i,SV18: $i,SV58: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV58 ) )
= $true )
| ( ( ~ ! [SY290: mworld] :
( ~ ( mrel @ SV58 @ SY290 )
| ( in @ SV18 @ SV46 @ SY290 ) )
| ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(278,plain,
! [SV69: mworld] :
( ( ~ ( mrel @ sK8_SY236 @ SV69 )
| ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(279,plain,
( ( ~ ( mrel @ sK8_SY236 @ sK10_SY247 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(280,plain,
( ( in @ sK7_SY172 @ sK5_SY86 @ sK10_SY247 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(281,plain,
! [SV5: mworld,SV47: $i,SV19: $i,SV59: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV59 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( eiw_di @ SY293 @ SV59 )
| ! [SY294: mworld] :
( ~ ( mrel @ SV59 @ SY294 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY294 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY294 @ SY252 )
| ( qmltpeq @ SV47 @ SY293 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY294 @ SY118 )
| ( qmltpeq @ SV19 @ SY293 @ SY118 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(282,plain,
! [SV6: mworld,SV48: $i,SV20: $i,SV60: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV60 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SV60 )
= $true )
| ( ( eiw_di @ SV48 @ SV35 )
= $false )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(283,plain,
! [SV8: mworld,SV49: $i,SV22: $i,SV61: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV61 ) )
= $true )
| ( ( ! [SY298: $i] :
( ~ ( eiw_di @ SY298 @ SV61 )
| ! [SY299: mworld] :
( ~ ( mrel @ SV61 @ SY299 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY299 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY299 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY298 @ SV22 ) @ ( set_intersection2 @ SY298 @ SV49 ) @ SY259 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(284,plain,
! [SV9: mworld,SV50: $i,SV23: $i,SV62: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV62 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SV62 )
= $true )
| ( ( eiw_di @ SV50 @ SV38 )
= $false )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(285,plain,
! [SV10: mworld,SV51: $i,SV24: $i,SV63: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV63 ) )
= $true )
| ( ( ! [SY302: $i] :
( ~ ( eiw_di @ SY302 @ SV63 )
| ! [SY303: mworld] :
( ~ ( mrel @ SV63 @ SY303 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY303 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY303 @ SY139 )
| ( in @ SV24 @ SY302 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY303 @ SY266 )
| ( in @ SV51 @ SY302 @ SY266 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(286,plain,
! [SV11: mworld,SV52: $i,SV25: $i,SV64: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV64 ) )
= $true )
| ( ( ~ ! [SY307: mworld] :
( ~ ( mrel @ SV64 @ SY307 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY307 ) )
| ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(287,plain,
! [SV12: mworld,SV53: $i,SV26: $i,SV65: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV65 ) )
= $true )
| ( ( ! [SY309: $i] :
( ~ ( eiw_di @ SY309 @ SV65 )
| ! [SY310: mworld] :
( ~ ( mrel @ SV65 @ SY310 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY310 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY310 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY309 ) @ ( set_intersection2 @ SV53 @ SY309 ) @ SY274 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(288,plain,
! [SV13: mworld,SV54: $i,SV27: $i,SV66: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV66 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
| ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(289,plain,
! [SV14: mworld,SV55: $i,SV28: $i,SV67: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV67 ) )
= $true )
| ( ( ~ ! [SY316: mworld] :
( ~ ( mrel @ SV67 @ SY316 )
| ( qmltpeq @ SV28 @ SV55 @ SY316 ) )
| ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(290,plain,
! [SV15: mworld,SV56: $i,SV29: $i,SV68: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV68 ) )
= $true )
| ( ( ! [SY318: $i] :
( ~ ( eiw_di @ SY318 @ SV68 )
| ! [SY319: mworld] :
( ~ ( mrel @ SV68 @ SY319 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY319 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY319 @ SY170 )
| ( in @ SY318 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY319 @ SY287 )
| ( in @ SY318 @ SV56 @ SY287 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(291,plain,
! [SV3: mworld,SV45: $i,SV17: $i,SV57: mworld,SV30: mworld] :
( ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( ~ ! [SY288: mworld] :
( ~ ( mrel @ SV57 @ SY288 )
| ( qmltpeq @ SV17 @ SV45 @ SY288 ) )
| ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(292,plain,
! [SV4: mworld,SV46: $i,SV18: $i,SV58: mworld,SV31: mworld] :
( ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( ~ ! [SY290: mworld] :
( ~ ( mrel @ SV58 @ SY290 )
| ( in @ SV18 @ SV46 @ SY290 ) )
| ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(293,plain,
! [SV69: mworld] :
( ( ( ~ ( mrel @ sK8_SY236 @ SV69 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(294,plain,
( ( mrel @ sK8_SY236 @ sK10_SY247 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(295,plain,
! [SV5: mworld,SV47: $i,SV19: $i,SV59: mworld,SV32: mworld] :
( ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( ! [SY293: $i] :
( ~ ( eiw_di @ SY293 @ SV59 )
| ! [SY294: mworld] :
( ~ ( mrel @ SV59 @ SY294 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY294 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY252: mworld] :
( ~ ( mrel @ SY294 @ SY252 )
| ( qmltpeq @ SV47 @ SY293 @ SY252 ) ) )
| ! [SY118: mworld] :
( ~ ( mrel @ SY294 @ SY118 )
| ( qmltpeq @ SV19 @ SY293 @ SY118 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(296,plain,
! [SV6: mworld,SV48: $i,SV20: $i,SV60: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ SV60 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV20 @ SV48 ) @ ( set_intersection2 @ SV48 @ SV20 ) @ SV60 )
= $true )
| ( ( eiw_di @ SV48 @ SV35 )
= $false )
| ( ( mrel @ SV6 @ SV35 )
= $false )
| ( ( eiw_di @ SV20 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV8: mworld,SV49: $i,SV22: $i,SV61: mworld,SV37: mworld] :
( ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( ! [SY298: $i] :
( ~ ( eiw_di @ SY298 @ SV61 )
| ! [SY299: mworld] :
( ~ ( mrel @ SV61 @ SY299 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY299 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY259: mworld] :
( ~ ( mrel @ SY299 @ SY259 )
| ( qmltpeq @ ( set_intersection2 @ SY298 @ SV22 ) @ ( set_intersection2 @ SY298 @ SV49 ) @ SY259 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(298,plain,
! [SV9: mworld,SV50: $i,SV23: $i,SV62: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV62 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV23 @ SV23 ) @ SV23 @ SV62 )
= $true )
| ( ( eiw_di @ SV50 @ SV38 )
= $false )
| ( ( mrel @ SV9 @ SV38 )
= $false )
| ( ( eiw_di @ SV23 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(299,plain,
! [SV10: mworld,SV51: $i,SV24: $i,SV63: mworld,SV39: mworld] :
( ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( ! [SY302: $i] :
( ~ ( eiw_di @ SY302 @ SV63 )
| ! [SY303: mworld] :
( ~ ( mrel @ SV63 @ SY303 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY303 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY139: mworld] :
( ~ ( mrel @ SY303 @ SY139 )
| ( in @ SV24 @ SY302 @ SY139 ) ) )
| ! [SY266: mworld] :
( ~ ( mrel @ SY303 @ SY266 )
| ( in @ SV51 @ SY302 @ SY266 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(300,plain,
! [SV11: mworld,SV52: $i,SV25: $i,SV64: mworld,SV40: mworld] :
( ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( ~ ! [SY307: mworld] :
( ~ ( mrel @ SV64 @ SY307 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY307 ) )
| ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(301,plain,
! [SV12: mworld,SV53: $i,SV26: $i,SV65: mworld,SV41: mworld] :
( ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( ! [SY309: $i] :
( ~ ( eiw_di @ SY309 @ SV65 )
| ! [SY310: mworld] :
( ~ ( mrel @ SV65 @ SY310 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY310 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY274: mworld] :
( ~ ( mrel @ SY310 @ SY274 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SY309 ) @ ( set_intersection2 @ SV53 @ SY309 ) @ SY274 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(302,plain,
! [SV13: mworld,SV54: $i,SV27: $i,SV66: mworld,SV42: mworld] :
( ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( ~ ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
| ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(303,plain,
! [SV14: mworld,SV55: $i,SV28: $i,SV67: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( ~ ! [SY316: mworld] :
( ~ ( mrel @ SV67 @ SY316 )
| ( qmltpeq @ SV28 @ SV55 @ SY316 ) )
| ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(304,plain,
! [SV15: mworld,SV56: $i,SV29: $i,SV68: mworld,SV44: mworld] :
( ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( ! [SY318: $i] :
( ~ ( eiw_di @ SY318 @ SV68 )
| ! [SY319: mworld] :
( ~ ( mrel @ SV68 @ SY319 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY319 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY170: mworld] :
( ~ ( mrel @ SY319 @ SY170 )
| ( in @ SY318 @ SV29 @ SY170 ) ) )
| ! [SY287: mworld] :
( ~ ( mrel @ SY319 @ SY287 )
| ( in @ SY318 @ SV56 @ SY287 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(305,plain,
! [SV3: mworld,SV30: mworld,SV45: $i,SV17: $i,SV57: mworld] :
( ( ( ~ ! [SY288: mworld] :
( ~ ( mrel @ SV57 @ SY288 )
| ( qmltpeq @ SV17 @ SV45 @ SY288 ) ) )
= $true )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(306,plain,
! [SV4: mworld,SV31: mworld,SV46: $i,SV18: $i,SV58: mworld] :
( ( ( ~ ! [SY290: mworld] :
( ~ ( mrel @ SV58 @ SY290 )
| ( in @ SV18 @ SV46 @ SY290 ) ) )
= $true )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(307,plain,
! [SV69: mworld] :
( ( ( mrel @ sK8_SY236 @ SV69 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ sK5_SY86 @ ( singleton @ sK7_SY172 ) ) @ ( singleton @ sK7_SY172 ) @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(308,plain,
! [SV5: mworld,SV32: mworld,SV47: $i,SV19: $i,SV59: mworld,SV70: $i] :
( ( ( ~ ( eiw_di @ SV70 @ SV59 )
| ! [SY323: mworld] :
( ~ ( mrel @ SV59 @ SY323 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY323 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY325: mworld] :
( ~ ( mrel @ SY323 @ SY325 )
| ( qmltpeq @ SV47 @ SV70 @ SY325 ) ) )
| ! [SY326: mworld] :
( ~ ( mrel @ SY323 @ SY326 )
| ( qmltpeq @ SV19 @ SV70 @ SY326 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(309,plain,
! [SV8: mworld,SV37: mworld,SV49: $i,SV22: $i,SV61: mworld,SV71: $i] :
( ( ( ~ ( eiw_di @ SV71 @ SV61 )
| ! [SY327: mworld] :
( ~ ( mrel @ SV61 @ SY327 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY327 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY329: mworld] :
( ~ ( mrel @ SY327 @ SY329 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY329 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(310,plain,
! [SV10: mworld,SV39: mworld,SV51: $i,SV24: $i,SV63: mworld,SV72: $i] :
( ( ( ~ ( eiw_di @ SV72 @ SV63 )
| ! [SY330: mworld] :
( ~ ( mrel @ SV63 @ SY330 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY330 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY332: mworld] :
( ~ ( mrel @ SY330 @ SY332 )
| ( in @ SV24 @ SV72 @ SY332 ) ) )
| ! [SY333: mworld] :
( ~ ( mrel @ SY330 @ SY333 )
| ( in @ SV51 @ SV72 @ SY333 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(311,plain,
! [SV11: mworld,SV40: mworld,SV52: $i,SV25: $i,SV64: mworld] :
( ( ( ~ ! [SY307: mworld] :
( ~ ( mrel @ SV64 @ SY307 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY307 ) ) )
= $true )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(312,plain,
! [SV12: mworld,SV41: mworld,SV53: $i,SV26: $i,SV65: mworld,SV73: $i] :
( ( ( ~ ( eiw_di @ SV73 @ SV65 )
| ! [SY334: mworld] :
( ~ ( mrel @ SV65 @ SY334 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY334 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY336: mworld] :
( ~ ( mrel @ SY334 @ SY336 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY336 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(313,plain,
! [SV13: mworld,SV42: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ~ ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(314,plain,
! [SV14: mworld,SV43: mworld,SV55: $i,SV28: $i,SV67: mworld] :
( ( ( ~ ! [SY316: mworld] :
( ~ ( mrel @ SV67 @ SY316 )
| ( qmltpeq @ SV28 @ SV55 @ SY316 ) ) )
= $true )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(315,plain,
! [SV15: mworld,SV44: mworld,SV56: $i,SV29: $i,SV68: mworld,SV74: $i] :
( ( ( ~ ( eiw_di @ SV74 @ SV68 )
| ! [SY337: mworld] :
( ~ ( mrel @ SV68 @ SY337 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY337 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY339: mworld] :
( ~ ( mrel @ SY337 @ SY339 )
| ( in @ SV74 @ SV29 @ SY339 ) ) )
| ! [SY340: mworld] :
( ~ ( mrel @ SY337 @ SY340 )
| ( in @ SV74 @ SV56 @ SY340 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(316,plain,
! [SV3: mworld,SV30: mworld,SV45: $i,SV17: $i,SV57: mworld] :
( ( ( ! [SY288: mworld] :
( ~ ( mrel @ SV57 @ SY288 )
| ( qmltpeq @ SV17 @ SV45 @ SY288 ) ) )
= $false )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(317,plain,
! [SV4: mworld,SV31: mworld,SV46: $i,SV18: $i,SV58: mworld] :
( ( ( ! [SY290: mworld] :
( ~ ( mrel @ SV58 @ SY290 )
| ( in @ SV18 @ SV46 @ SY290 ) ) )
= $false )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(318,plain,
! [SV5: mworld,SV32: mworld,SV47: $i,SV19: $i,SV59: mworld,SV70: $i] :
( ( ( ~ ( eiw_di @ SV70 @ SV59 ) )
= $true )
| ( ( ! [SY323: mworld] :
( ~ ( mrel @ SV59 @ SY323 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY323 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY325: mworld] :
( ~ ( mrel @ SY323 @ SY325 )
| ( qmltpeq @ SV47 @ SV70 @ SY325 ) ) )
| ! [SY326: mworld] :
( ~ ( mrel @ SY323 @ SY326 )
| ( qmltpeq @ SV19 @ SV70 @ SY326 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(319,plain,
! [SV8: mworld,SV37: mworld,SV49: $i,SV22: $i,SV61: mworld,SV71: $i] :
( ( ( ~ ( eiw_di @ SV71 @ SV61 ) )
= $true )
| ( ( ! [SY327: mworld] :
( ~ ( mrel @ SV61 @ SY327 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY327 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY329: mworld] :
( ~ ( mrel @ SY327 @ SY329 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY329 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(320,plain,
! [SV10: mworld,SV39: mworld,SV51: $i,SV24: $i,SV63: mworld,SV72: $i] :
( ( ( ~ ( eiw_di @ SV72 @ SV63 ) )
= $true )
| ( ( ! [SY330: mworld] :
( ~ ( mrel @ SV63 @ SY330 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY330 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY332: mworld] :
( ~ ( mrel @ SY330 @ SY332 )
| ( in @ SV24 @ SV72 @ SY332 ) ) )
| ! [SY333: mworld] :
( ~ ( mrel @ SY330 @ SY333 )
| ( in @ SV51 @ SV72 @ SY333 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(321,plain,
! [SV11: mworld,SV40: mworld,SV52: $i,SV25: $i,SV64: mworld] :
( ( ( ! [SY307: mworld] :
( ~ ( mrel @ SV64 @ SY307 )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ SY307 ) ) )
= $false )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(322,plain,
! [SV12: mworld,SV41: mworld,SV53: $i,SV26: $i,SV65: mworld,SV73: $i] :
( ( ( ~ ( eiw_di @ SV73 @ SV65 ) )
= $true )
| ( ( ! [SY334: mworld] :
( ~ ( mrel @ SV65 @ SY334 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY334 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY336: mworld] :
( ~ ( mrel @ SY334 @ SY336 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY336 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(323,plain,
! [SV13: mworld,SV42: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ~ ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(324,plain,
! [SV14: mworld,SV43: mworld,SV55: $i,SV28: $i,SV67: mworld] :
( ( ( ! [SY316: mworld] :
( ~ ( mrel @ SV67 @ SY316 )
| ( qmltpeq @ SV28 @ SV55 @ SY316 ) ) )
= $false )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(325,plain,
! [SV15: mworld,SV44: mworld,SV56: $i,SV29: $i,SV68: mworld,SV74: $i] :
( ( ( ~ ( eiw_di @ SV74 @ SV68 ) )
= $true )
| ( ( ! [SY337: mworld] :
( ~ ( mrel @ SV68 @ SY337 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY337 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY339: mworld] :
( ~ ( mrel @ SY337 @ SY339 )
| ( in @ SV74 @ SV29 @ SY339 ) ) )
| ! [SY340: mworld] :
( ~ ( mrel @ SY337 @ SY340 )
| ( in @ SV74 @ SV56 @ SY340 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(326,plain,
! [SV17: $i,SV45: $i,SV30: mworld,SV3: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
| ( qmltpeq @ SV17 @ SV45 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) ) )
= $false )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(327,plain,
! [SV18: $i,SV46: $i,SV31: mworld,SV4: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
| ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) ) )
= $false )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[317]) ).
thf(328,plain,
! [SV5: mworld,SV32: mworld,SV47: $i,SV19: $i,SV59: mworld,SV70: $i] :
( ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( ! [SY323: mworld] :
( ~ ( mrel @ SV59 @ SY323 )
| ~ ~ ( ~ ! [SY251: mworld] :
( ~ ( mrel @ SY323 @ SY251 )
| ( qmltpeq @ SV19 @ SV47 @ SY251 ) )
| ~ ! [SY325: mworld] :
( ~ ( mrel @ SY323 @ SY325 )
| ( qmltpeq @ SV47 @ SV70 @ SY325 ) ) )
| ! [SY326: mworld] :
( ~ ( mrel @ SY323 @ SY326 )
| ( qmltpeq @ SV19 @ SV70 @ SY326 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(329,plain,
! [SV8: mworld,SV37: mworld,SV49: $i,SV22: $i,SV61: mworld,SV71: $i] :
( ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( ! [SY327: mworld] :
( ~ ( mrel @ SV61 @ SY327 )
| ~ ! [SY258: mworld] :
( ~ ( mrel @ SY327 @ SY258 )
| ( qmltpeq @ SV22 @ SV49 @ SY258 ) )
| ! [SY329: mworld] :
( ~ ( mrel @ SY327 @ SY329 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY329 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(330,plain,
! [SV10: mworld,SV39: mworld,SV51: $i,SV24: $i,SV63: mworld,SV72: $i] :
( ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( ! [SY330: mworld] :
( ~ ( mrel @ SV63 @ SY330 )
| ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ SY330 @ SY264 )
| ( qmltpeq @ SV24 @ SV51 @ SY264 ) )
| ~ ! [SY332: mworld] :
( ~ ( mrel @ SY330 @ SY332 )
| ( in @ SV24 @ SV72 @ SY332 ) ) )
| ! [SY333: mworld] :
( ~ ( mrel @ SY330 @ SY333 )
| ( in @ SV51 @ SV72 @ SY333 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(331,plain,
! [SV25: $i,SV52: $i,SV40: mworld,SV11: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
| ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) ) )
= $false )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(332,plain,
! [SV12: mworld,SV41: mworld,SV53: $i,SV26: $i,SV65: mworld,SV73: $i] :
( ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( ! [SY334: mworld] :
( ~ ( mrel @ SV65 @ SY334 )
| ~ ! [SY273: mworld] :
( ~ ( mrel @ SY334 @ SY273 )
| ( qmltpeq @ SV26 @ SV53 @ SY273 ) )
| ! [SY336: mworld] :
( ~ ( mrel @ SY334 @ SY336 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY336 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(333,plain,
! [SV13: mworld,SV42: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) )
| ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(334,plain,
! [SV28: $i,SV55: $i,SV43: mworld,SV14: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
| ( qmltpeq @ SV28 @ SV55 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) ) )
= $false )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[324]) ).
thf(335,plain,
! [SV15: mworld,SV44: mworld,SV56: $i,SV29: $i,SV68: mworld,SV74: $i] :
( ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( ! [SY337: mworld] :
( ~ ( mrel @ SV68 @ SY337 )
| ~ ~ ( ~ ! [SY285: mworld] :
( ~ ( mrel @ SY337 @ SY285 )
| ( qmltpeq @ SV29 @ SV56 @ SY285 ) )
| ~ ! [SY339: mworld] :
( ~ ( mrel @ SY337 @ SY339 )
| ( in @ SV74 @ SV29 @ SY339 ) ) )
| ! [SY340: mworld] :
( ~ ( mrel @ SY337 @ SY340 )
| ( in @ SV74 @ SV56 @ SY340 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(336,plain,
! [SV17: $i,SV45: $i,SV30: mworld,SV3: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) ) )
= $false )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(337,plain,
! [SV57: mworld,SV30: mworld,SV3: mworld,SV45: $i,SV17: $i] :
( ( ( qmltpeq @ SV17 @ SV45 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $false )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(338,plain,
! [SV18: $i,SV46: $i,SV31: mworld,SV4: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) ) )
= $false )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(339,plain,
! [SV58: mworld,SV31: mworld,SV4: mworld,SV46: $i,SV18: $i] :
( ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(340,plain,
! [SV5: mworld,SV32: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV75 )
| ~ ~ ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
| ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(341,plain,
! [SV8: mworld,SV37: mworld,SV71: $i,SV49: $i,SV22: $i,SV76: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV76 )
| ~ ! [SY344: mworld] :
( ~ ( mrel @ SV76 @ SY344 )
| ( qmltpeq @ SV22 @ SV49 @ SY344 ) )
| ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(342,plain,
! [SV10: mworld,SV39: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld,SV63: mworld] :
( ( ( ~ ( mrel @ SV63 @ SV77 )
| ~ ~ ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
| ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(343,plain,
! [SV25: $i,SV52: $i,SV40: mworld,SV11: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) ) )
= $false )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(344,plain,
! [SV64: mworld,SV40: mworld,SV11: mworld,SV52: $i,SV25: $i] :
( ( ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $false )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(345,plain,
! [SV12: mworld,SV41: mworld,SV73: $i,SV53: $i,SV26: $i,SV78: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV78 )
| ~ ! [SY349: mworld] :
( ~ ( mrel @ SV78 @ SY349 )
| ( qmltpeq @ SV26 @ SV53 @ SY349 ) )
| ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV13: mworld,SV42: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ~ ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) ) )
= $true )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV28: $i,SV55: $i,SV43: mworld,SV14: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) ) )
= $false )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(348,plain,
! [SV67: mworld,SV43: mworld,SV14: mworld,SV55: $i,SV28: $i] :
( ( ( qmltpeq @ SV28 @ SV55 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $false )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(349,plain,
! [SV15: mworld,SV44: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV79 )
| ~ ~ ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
| ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(350,plain,
! [SV17: $i,SV45: $i,SV30: mworld,SV3: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $true )
| ( ( ! [SY289: mworld] :
( ~ ( mrel @ SV57 @ SY289 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SY289 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(351,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV80: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV80 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV80 ) )
= $true )
| ( ( qmltpeq @ SV17 @ SV45 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $false )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(352,plain,
! [SV18: $i,SV46: $i,SV31: mworld,SV4: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( ! [SY291: mworld] :
( ~ ( mrel @ SV58 @ SY291 )
| ~ ! [SY245: mworld] :
( ~ ( mrel @ SY291 @ SY245 )
| ( in @ SV46 @ SV18 @ SY245 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(353,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV81: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV81 )
| ~ ! [SY354: mworld] :
( ~ ( mrel @ SV81 @ SY354 )
| ( in @ SV46 @ SV18 @ SY354 ) ) )
= $true )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(354,plain,
! [SV5: mworld,SV32: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld,SV59: mworld] :
( ( ( ~ ( mrel @ SV59 @ SV75 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
| ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(355,plain,
! [SV8: mworld,SV37: mworld,SV71: $i,SV49: $i,SV22: $i,SV76: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV76 ) )
= $true )
| ( ( ~ ! [SY344: mworld] :
( ~ ( mrel @ SV76 @ SY344 )
| ( qmltpeq @ SV22 @ SV49 @ SY344 ) )
| ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(356,plain,
! [SV10: mworld,SV39: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld,SV63: mworld] :
( ( ( ~ ( mrel @ SV63 @ SV77 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
| ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(357,plain,
! [SV25: $i,SV52: $i,SV40: mworld,SV11: mworld,SV64: mworld] :
( ( ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $true )
| ( ( ! [SY308: mworld] :
( ~ ( mrel @ SV64 @ SY308 )
| ( in @ SV52 @ SV25 @ SY308 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(358,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV82: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV82 )
| ( in @ SV52 @ SV25 @ SV82 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $false )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(359,plain,
! [SV12: mworld,SV41: mworld,SV73: $i,SV53: $i,SV26: $i,SV78: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV78 ) )
= $true )
| ( ( ~ ! [SY349: mworld] :
( ~ ( mrel @ SV78 @ SY349 )
| ( qmltpeq @ SV26 @ SV53 @ SY349 ) )
| ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(360,plain,
! [SV13: mworld,SV42: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ! [SY313: mworld] :
( ~ ( mrel @ SV66 @ SY313 )
| ( qmltpeq @ SV27 @ SV54 @ SY313 ) ) )
= $false )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(361,plain,
! [SV28: $i,SV55: $i,SV43: mworld,SV14: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $true )
| ( ( ! [SY317: mworld] :
( ~ ( mrel @ SV67 @ SY317 )
| ( qmltpeq @ SV55 @ SV28 @ SY317 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(362,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV83: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV83 )
| ( qmltpeq @ SV55 @ SV28 @ SV83 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV55 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $false )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(363,plain,
! [SV15: mworld,SV44: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV79 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
| ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(364,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV84: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV84 )
| ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV84 ) )
= $true )
| ( ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(365,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV80: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV80 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV80 )
= $true )
| ( ( qmltpeq @ SV17 @ SV45 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $false )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(366,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV85: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV85 )
| ~ ! [SY355: mworld] :
( ~ ( mrel @ SV85 @ SY355 )
| ( in @ SV46 @ SV18 @ SY355 ) ) )
= $true )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(367,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV81: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV81 ) )
= $true )
| ( ( ~ ! [SY354: mworld] :
( ~ ( mrel @ SV81 @ SY354 )
| ( in @ SV46 @ SV18 @ SY354 ) ) )
= $true )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(368,plain,
! [SV5: mworld,SV32: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld,SV59: mworld] :
( ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( ~ ~ ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
| ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(369,plain,
! [SV8: mworld,SV37: mworld,SV71: $i,SV49: $i,SV22: $i,SV76: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( ~ ! [SY344: mworld] :
( ~ ( mrel @ SV76 @ SY344 )
| ( qmltpeq @ SV22 @ SV49 @ SY344 ) )
| ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(370,plain,
! [SV10: mworld,SV39: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld,SV63: mworld] :
( ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( ~ ~ ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
| ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(371,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV86: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV86 )
| ( in @ SV52 @ SV25 @ SV86 ) )
= $true )
| ( ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(372,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV82: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV82 ) )
= $true )
| ( ( in @ SV52 @ SV25 @ SV82 )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $false )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(373,plain,
! [SV12: mworld,SV41: mworld,SV73: $i,SV53: $i,SV26: $i,SV78: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( ~ ! [SY349: mworld] :
( ~ ( mrel @ SV78 @ SY349 )
| ( qmltpeq @ SV26 @ SV53 @ SY349 ) )
| ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(374,plain,
! [SV27: $i,SV54: $i,SV42: mworld,SV13: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
| ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) ) )
= $false )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(375,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV87: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV87 )
| ( qmltpeq @ SV55 @ SV28 @ SV87 ) )
= $true )
| ( ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(376,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV83: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV83 ) )
= $true )
| ( ( qmltpeq @ SV55 @ SV28 @ SV83 )
= $true )
| ( ( qmltpeq @ SV28 @ SV55 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $false )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(377,plain,
! [SV15: mworld,SV44: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( ~ ~ ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
| ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(378,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV84: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV84 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV84 )
= $true )
| ( ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(379,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV80: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ SV80 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV80 )
= $true )
| ( ( qmltpeq @ SV17 @ SV45 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $false )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(380,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV85: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV85 ) )
= $true )
| ( ( ~ ! [SY355: mworld] :
( ~ ( mrel @ SV85 @ SY355 )
| ( in @ SV46 @ SV18 @ SY355 ) ) )
= $true )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(381,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV81: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( ~ ! [SY354: mworld] :
( ~ ( mrel @ SV81 @ SY354 )
| ( in @ SV46 @ SV18 @ SY354 ) ) )
= $true )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(382,plain,
! [SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld] :
( ( ( ~ ~ ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(383,plain,
! [SV8: mworld,SV37: mworld,SV61: mworld,SV71: $i,SV49: $i,SV22: $i,SV76: mworld] :
( ( ( ~ ! [SY344: mworld] :
( ~ ( mrel @ SV76 @ SY344 )
| ( qmltpeq @ SV22 @ SV49 @ SY344 ) ) )
= $true )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(384,plain,
! [SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld] :
( ( ( ~ ~ ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(385,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV86: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV86 ) )
= $true )
| ( ( in @ SV52 @ SV25 @ SV86 )
= $true )
| ( ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(386,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV82: mworld,SV64: mworld] :
( ( ( mrel @ SV64 @ SV82 )
= $false )
| ( ( in @ SV52 @ SV25 @ SV82 )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV25 @ ( singleton @ SV52 ) ) @ ( singleton @ SV52 ) @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $false )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(387,plain,
! [SV12: mworld,SV41: mworld,SV65: mworld,SV73: $i,SV53: $i,SV26: $i,SV78: mworld] :
( ( ( ~ ! [SY349: mworld] :
( ~ ( mrel @ SV78 @ SY349 )
| ( qmltpeq @ SV26 @ SV53 @ SY349 ) ) )
= $true )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(388,plain,
! [SV27: $i,SV54: $i,SV42: mworld,SV13: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) ) )
= $false )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(389,plain,
! [SV66: mworld,SV42: mworld,SV13: mworld,SV54: $i,SV27: $i] :
( ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(390,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV87: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV87 ) )
= $true )
| ( ( qmltpeq @ SV55 @ SV28 @ SV87 )
= $true )
| ( ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(391,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV83: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ SV83 )
= $false )
| ( ( qmltpeq @ SV55 @ SV28 @ SV83 )
= $true )
| ( ( qmltpeq @ SV28 @ SV55 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $false )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(392,plain,
! [SV15: mworld,SV44: mworld,SV68: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld] :
( ( ( ~ ~ ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(393,plain,
! [SV30: mworld,SV3: mworld,SV45: $i,SV17: $i,SV84: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ SV84 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV17 ) @ ( singleton @ SV45 ) @ SV84 )
= $true )
| ( ( mrel @ SV57 @ ( sK11_SY288 @ SV3 @ SV30 @ SV45 @ SV17 @ SV57 ) )
= $true )
| ( ( mrel @ SV30 @ SV57 )
= $false )
| ( ( eiw_di @ SV45 @ SV30 )
= $false )
| ( ( mrel @ SV3 @ SV30 )
= $false )
| ( ( eiw_di @ SV17 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(394,plain,
! [SV31: mworld,SV4: mworld,SV18: $i,SV46: $i,SV85: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( ~ ! [SY355: mworld] :
( ~ ( mrel @ SV85 @ SY355 )
| ( in @ SV46 @ SV18 @ SY355 ) ) )
= $true )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(395,plain,
! [SV31: mworld,SV4: mworld,SV58: mworld,SV18: $i,SV46: $i,SV81: mworld] :
( ( ( ! [SY354: mworld] :
( ~ ( mrel @ SV81 @ SY354 )
| ( in @ SV46 @ SV18 @ SY354 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(396,plain,
! [SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld] :
( ( ( ~ ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(397,plain,
! [SV8: mworld,SV37: mworld,SV61: mworld,SV71: $i,SV49: $i,SV22: $i,SV76: mworld] :
( ( ( ! [SY344: mworld] :
( ~ ( mrel @ SV76 @ SY344 )
| ( qmltpeq @ SV22 @ SV49 @ SY344 ) ) )
= $false )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(398,plain,
! [SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld] :
( ( ( ~ ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(399,plain,
! [SV40: mworld,SV11: mworld,SV25: $i,SV52: $i,SV86: mworld,SV64: mworld] :
( ( ( mrel @ SV64 @ SV86 )
= $false )
| ( ( in @ SV52 @ SV25 @ SV86 )
= $true )
| ( ( mrel @ SV64 @ ( sK13_SY307 @ SV11 @ SV40 @ SV52 @ SV25 @ SV64 ) )
= $true )
| ( ( mrel @ SV40 @ SV64 )
= $false )
| ( ( eiw_di @ SV52 @ SV40 )
= $false )
| ( ( mrel @ SV11 @ SV40 )
= $false )
| ( ( eiw_di @ SV25 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(400,plain,
! [SV12: mworld,SV41: mworld,SV65: mworld,SV73: $i,SV53: $i,SV26: $i,SV78: mworld] :
( ( ( ! [SY349: mworld] :
( ~ ( mrel @ SV78 @ SY349 )
| ( qmltpeq @ SV26 @ SV53 @ SY349 ) ) )
= $false )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(401,plain,
! [SV27: $i,SV54: $i,SV42: mworld,SV13: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ~ ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(402,plain,
! [SV42: mworld,SV13: mworld,SV54: $i,SV27: $i,SV66: mworld] :
( ( ( ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV43: mworld,SV14: mworld,SV28: $i,SV55: $i,SV87: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ SV87 )
= $false )
| ( ( qmltpeq @ SV55 @ SV28 @ SV87 )
= $true )
| ( ( mrel @ SV67 @ ( sK14_SY316 @ SV14 @ SV43 @ SV55 @ SV28 @ SV67 ) )
= $true )
| ( ( mrel @ SV43 @ SV67 )
= $false )
| ( ( eiw_di @ SV55 @ SV43 )
= $false )
| ( ( mrel @ SV14 @ SV43 )
= $false )
| ( ( eiw_di @ SV28 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(404,plain,
! [SV15: mworld,SV44: mworld,SV68: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld] :
( ( ( ~ ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(405,plain,
! [SV31: mworld,SV4: mworld,SV58: mworld,SV18: $i,SV46: $i,SV85: mworld] :
( ( ( ! [SY355: mworld] :
( ~ ( mrel @ SV85 @ SY355 )
| ( in @ SV46 @ SV18 @ SY355 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(406,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ ( sK16_SY354 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV81 ) )
| ( in @ SV46 @ SV18 @ ( sK16_SY354 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV81 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[395]) ).
thf(407,plain,
! [SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld] :
( ( ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) )
| ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(408,plain,
! [SV22: $i,SV49: $i,SV71: $i,SV61: mworld,SV37: mworld,SV8: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
| ( qmltpeq @ SV22 @ SV49 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) ) )
= $false )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(409,plain,
! [SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld] :
( ( ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) )
| ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(410,plain,
! [SV26: $i,SV53: $i,SV73: $i,SV65: mworld,SV41: mworld,SV12: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
| ( qmltpeq @ SV26 @ SV53 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) ) )
= $false )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(411,plain,
! [SV54: $i,SV42: mworld,SV13: mworld,SV27: $i,SV66: mworld] :
( ( ( ! [SY314: mworld] :
( ~ ( mrel @ SV66 @ SY314 )
| ( empty @ SV27 @ SY314 ) ) )
= $false )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(412,plain,
! [SV27: $i,SV54: $i,SV13: mworld,SV42: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
| ( empty @ SV27 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(413,plain,
! [SV15: mworld,SV44: mworld,SV68: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld] :
( ( ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) )
| ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(414,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ ( sK20_SY355 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV85 ) )
| ( in @ SV46 @ SV18 @ ( sK20_SY355 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV85 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[405]) ).
thf(415,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ ( sK16_SY354 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV81 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(416,plain,
! [SV81: mworld,SV58: mworld,SV4: mworld,SV31: mworld,SV18: $i,SV46: $i] :
( ( ( in @ SV46 @ SV18 @ ( sK16_SY354 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV81 ) )
= $false )
| ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(417,plain,
! [SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld] :
( ( ( ~ ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) ) )
= $true )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(418,plain,
! [SV22: $i,SV49: $i,SV71: $i,SV61: mworld,SV37: mworld,SV8: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) ) )
= $false )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(419,plain,
! [SV76: mworld,SV71: $i,SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i] :
( ( ( qmltpeq @ SV22 @ SV49 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $false )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(420,plain,
! [SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld] :
( ( ( ~ ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) ) )
= $true )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV26: $i,SV53: $i,SV73: $i,SV65: mworld,SV41: mworld,SV12: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) ) )
= $false )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(422,plain,
! [SV78: mworld,SV73: $i,SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV26: $i] :
( ( ( qmltpeq @ SV26 @ SV53 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $false )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(423,plain,
! [SV27: $i,SV13: mworld,SV42: mworld,SV54: $i,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
| ( empty @ SV27 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) ) )
= $false )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(424,plain,
! [SV27: $i,SV54: $i,SV13: mworld,SV42: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(425,plain,
! [SV66: mworld,SV54: $i,SV13: mworld,SV42: mworld,SV27: $i] :
( ( ( empty @ SV27 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(426,plain,
! [SV15: mworld,SV44: mworld,SV68: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld] :
( ( ( ~ ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) ) )
= $true )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(427,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ ( sK20_SY355 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV85 ) ) )
= $false )
| ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(428,plain,
! [SV85: mworld,SV58: mworld,SV4: mworld,SV31: mworld,SV18: $i,SV46: $i] :
( ( ( in @ SV46 @ SV18 @ ( sK20_SY355 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV85 ) )
= $false )
| ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(429,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV81: mworld] :
( ( ( mrel @ SV81 @ ( sK16_SY354 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV81 ) )
= $true )
| ( ( mrel @ SV58 @ SV81 )
= $false )
| ( ( in @ SV18 @ SV46 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $false )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(430,plain,
! [SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i,SV19: $i,SV75: mworld] :
( ( ( ! [SY341: mworld] :
( ~ ( mrel @ SV75 @ SY341 )
| ( qmltpeq @ SV19 @ SV47 @ SY341 ) ) )
= $false )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(431,plain,
! [SV22: $i,SV49: $i,SV71: $i,SV61: mworld,SV37: mworld,SV8: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $true )
| ( ( ! [SY345: mworld] :
( ~ ( mrel @ SV76 @ SY345 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SY345 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(432,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV88: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV88 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV88 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV49 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $false )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(433,plain,
! [SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV51: $i,SV24: $i,SV77: mworld] :
( ( ( ! [SY346: mworld] :
( ~ ( mrel @ SV77 @ SY346 )
| ( qmltpeq @ SV24 @ SV51 @ SY346 ) ) )
= $false )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(434,plain,
! [SV26: $i,SV53: $i,SV73: $i,SV65: mworld,SV41: mworld,SV12: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $true )
| ( ( ! [SY350: mworld] :
( ~ ( mrel @ SV78 @ SY350 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SY350 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(435,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV89: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV89 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV89 ) )
= $true )
| ( ( qmltpeq @ SV26 @ SV53 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $false )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(436,plain,
! [SV27: $i,SV13: mworld,SV42: mworld,SV54: $i,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) ) )
= $false )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(437,plain,
! [SV66: mworld,SV13: mworld,SV42: mworld,SV54: $i,SV27: $i] :
( ( ( empty @ SV27 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(438,plain,
! [SV27: $i,SV54: $i,SV13: mworld,SV42: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(439,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV90: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV90 )
| ( empty @ SV54 @ SV90 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( empty @ SV27 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(440,plain,
! [SV15: mworld,SV44: mworld,SV68: mworld,SV74: $i,SV56: $i,SV29: $i,SV79: mworld] :
( ( ( ! [SY351: mworld] :
( ~ ( mrel @ SV79 @ SY351 )
| ( qmltpeq @ SV29 @ SV56 @ SY351 ) ) )
= $false )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(441,plain,
! [SV46: $i,SV18: $i,SV58: mworld,SV4: mworld,SV31: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ ( sK20_SY355 @ SV31 @ SV4 @ SV58 @ SV18 @ SV46 @ SV85 ) )
= $true )
| ( ( mrel @ SV58 @ SV85 )
= $false )
| ( ( mrel @ SV58 @ ( sK12_SY290 @ SV4 @ SV31 @ SV46 @ SV18 @ SV58 ) )
= $true )
| ( ( mrel @ SV31 @ SV58 )
= $false )
| ( ( eiw_di @ SV46 @ SV31 )
= $false )
| ( ( mrel @ SV4 @ SV31 )
= $false )
| ( ( eiw_di @ SV18 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(442,plain,
! [SV19: $i,SV47: $i,SV70: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
| ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) ) )
= $false )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[430]) ).
thf(443,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV91: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV91 )
| ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV91 ) )
= $true )
| ( ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(444,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV88: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV88 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV88 )
= $true )
| ( ( qmltpeq @ SV22 @ SV49 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $false )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(445,plain,
! [SV24: $i,SV51: $i,SV72: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
| ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) ) )
= $false )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[433]) ).
thf(446,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV92: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV92 )
| ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV92 ) )
= $true )
| ( ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(447,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV89: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV89 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV89 )
= $true )
| ( ( qmltpeq @ SV26 @ SV53 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $false )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(448,plain,
! [SV27: $i,SV13: mworld,SV42: mworld,SV54: $i,SV66: mworld] :
( ( ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( ! [SY315: mworld] :
( ~ ( mrel @ SV66 @ SY315 )
| ( empty @ SV54 @ SY315 ) ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(449,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV93: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV93 )
| ( empty @ SV54 @ SV93 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( empty @ SV27 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(450,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV94: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV94 )
| ( empty @ SV54 @ SV94 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(451,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV90: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV90 ) )
= $true )
| ( ( empty @ SV54 @ SV90 )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( empty @ SV27 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(452,plain,
! [SV29: $i,SV56: $i,SV74: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
| ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) ) )
= $false )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(453,plain,
! [SV19: $i,SV47: $i,SV70: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) ) )
= $false )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(454,plain,
! [SV75: mworld,SV70: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV19: $i] :
( ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(455,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV91: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV91 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV91 )
= $true )
| ( ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(456,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV88: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV88 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV88 )
= $true )
| ( ( qmltpeq @ SV22 @ SV49 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $false )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(457,plain,
! [SV24: $i,SV51: $i,SV72: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) ) )
= $false )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(458,plain,
! [SV77: mworld,SV72: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV51: $i,SV24: $i] :
( ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(459,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV92: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV92 ) )
= $true )
| ( ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV92 )
= $true )
| ( ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(460,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV89: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV89 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV89 )
= $true )
| ( ( qmltpeq @ SV26 @ SV53 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $false )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(461,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV95: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV95 )
| ( empty @ SV54 @ SV95 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(462,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV93: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV93 ) )
= $true )
| ( ( empty @ SV54 @ SV93 )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( empty @ SV27 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(463,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV94: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV94 ) )
= $true )
| ( ( empty @ SV54 @ SV94 )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(464,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV90: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV90 )
= $false )
| ( ( empty @ SV54 @ SV90 )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( empty @ SV27 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(465,plain,
! [SV29: $i,SV56: $i,SV74: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) ) )
= $false )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(466,plain,
! [SV79: mworld,SV74: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV29: $i] :
( ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(467,plain,
! [SV19: $i,SV47: $i,SV70: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ~ ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(468,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV19: $i,SV70: $i,SV47: $i,SV75: mworld] :
( ( ( ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $false )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(469,plain,
! [SV61: mworld,SV37: mworld,SV8: mworld,SV49: $i,SV22: $i,SV71: $i,SV91: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV91 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV71 @ SV22 ) @ ( set_intersection2 @ SV71 @ SV49 ) @ SV91 )
= $true )
| ( ( mrel @ SV76 @ ( sK17_SY344 @ SV8 @ SV37 @ SV61 @ SV71 @ SV49 @ SV22 @ SV76 ) )
= $true )
| ( ( mrel @ SV61 @ SV76 )
= $false )
| ( ( eiw_di @ SV71 @ SV61 )
= $false )
| ( ( mrel @ SV37 @ SV61 )
= $false )
| ( ( eiw_di @ SV49 @ SV37 )
= $false )
| ( ( mrel @ SV8 @ SV37 )
= $false )
| ( ( eiw_di @ SV22 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(470,plain,
! [SV24: $i,SV51: $i,SV72: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ~ ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(471,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV51: $i,SV72: $i,SV24: $i,SV77: mworld] :
( ( ( ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(472,plain,
! [SV65: mworld,SV41: mworld,SV12: mworld,SV53: $i,SV73: $i,SV26: $i,SV92: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV92 )
= $false )
| ( ( qmltpeq @ ( set_intersection2 @ SV26 @ SV73 ) @ ( set_intersection2 @ SV53 @ SV73 ) @ SV92 )
= $true )
| ( ( mrel @ SV78 @ ( sK18_SY349 @ SV12 @ SV41 @ SV65 @ SV73 @ SV53 @ SV26 @ SV78 ) )
= $true )
| ( ( mrel @ SV65 @ SV78 )
= $false )
| ( ( eiw_di @ SV73 @ SV65 )
= $false )
| ( ( mrel @ SV41 @ SV65 )
= $false )
| ( ( eiw_di @ SV53 @ SV41 )
= $false )
| ( ( mrel @ SV12 @ SV41 )
= $false )
| ( ( eiw_di @ SV26 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(473,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV95: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV95 ) )
= $true )
| ( ( empty @ SV54 @ SV95 )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(474,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV93: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV93 )
= $false )
| ( ( empty @ SV54 @ SV93 )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( empty @ SV27 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(475,plain,
! [SV42: mworld,SV13: mworld,SV27: $i,SV54: $i,SV94: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV94 )
= $false )
| ( ( empty @ SV54 @ SV94 )
= $true )
| ( ( qmltpeq @ SV27 @ SV54 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $false )
| ( ( mrel @ SV66 @ ( sK19_SY314 @ SV42 @ SV13 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(476,plain,
! [SV29: $i,SV56: $i,SV74: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ~ ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(477,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV29: $i,SV74: $i,SV79: mworld] :
( ( ( ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(478,plain,
! [SV19: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV47: $i,SV75: mworld] :
( ( ( ! [SY342: mworld] :
( ~ ( mrel @ SV75 @ SY342 )
| ( qmltpeq @ SV47 @ SV70 @ SY342 ) ) )
= $false )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(479,plain,
! [SV47: $i,SV70: $i,SV19: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
| ( qmltpeq @ SV47 @ SV70 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) ) )
= $false )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[468]) ).
thf(480,plain,
! [SV51: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV24: $i,SV77: mworld] :
( ( ( ! [SY347: mworld] :
( ~ ( mrel @ SV77 @ SY347 )
| ( in @ SV24 @ SV72 @ SY347 ) ) )
= $false )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(481,plain,
! [SV24: $i,SV72: $i,SV51: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
| ( in @ SV24 @ SV72 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[471]) ).
thf(482,plain,
! [SV27: $i,SV42: mworld,SV13: mworld,SV54: $i,SV95: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV95 )
= $false )
| ( ( empty @ SV54 @ SV95 )
= $true )
| ( ( mrel @ SV66 @ ( sK15_SY313 @ SV13 @ SV42 @ SV54 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV66 @ ( sK21_SY314 @ SV54 @ SV42 @ SV13 @ SV27 @ SV66 ) )
= $true )
| ( ( mrel @ SV42 @ SV66 )
= $false )
| ( ( eiw_di @ SV54 @ SV42 )
= $false )
| ( ( mrel @ SV13 @ SV42 )
= $false )
| ( ( eiw_di @ SV27 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(483,plain,
! [SV56: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV74: $i,SV79: mworld] :
( ( ( ! [SY352: mworld] :
( ~ ( mrel @ SV79 @ SY352 )
| ( in @ SV74 @ SV29 @ SY352 ) ) )
= $false )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(484,plain,
! [SV74: $i,SV29: $i,SV56: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
| ( in @ SV74 @ SV29 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[477]) ).
thf(485,plain,
! [SV47: $i,SV70: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV19: $i,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
| ( qmltpeq @ SV47 @ SV70 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) ) )
= $false )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[478]) ).
thf(486,plain,
! [SV47: $i,SV70: $i,SV19: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) ) )
= $false )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(487,plain,
! [SV75: mworld,SV19: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV70: $i,SV47: $i] :
( ( ( qmltpeq @ SV47 @ SV70 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(488,plain,
! [SV24: $i,SV72: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV51: $i,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
| ( in @ SV24 @ SV72 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) ) )
= $false )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[480]) ).
thf(489,plain,
! [SV24: $i,SV72: $i,SV51: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(490,plain,
! [SV77: mworld,SV51: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV72: $i,SV24: $i] :
( ( ( in @ SV24 @ SV72 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(491,plain,
! [SV74: $i,SV29: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV56: $i,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
| ( in @ SV74 @ SV29 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) ) )
= $false )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(492,plain,
! [SV74: $i,SV29: $i,SV56: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(493,plain,
! [SV79: mworld,SV56: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV29: $i,SV74: $i] :
( ( ( in @ SV74 @ SV29 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(494,plain,
! [SV47: $i,SV70: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV19: $i,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) ) )
= $false )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(495,plain,
! [SV75: mworld,SV5: mworld,SV32: mworld,SV59: mworld,SV19: $i,SV70: $i,SV47: $i] :
( ( ( qmltpeq @ SV47 @ SV70 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(496,plain,
! [SV47: $i,SV70: $i,SV19: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(497,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV96: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV96 )
| ( qmltpeq @ SV19 @ SV70 @ SV96 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(498,plain,
! [SV24: $i,SV72: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV51: $i,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) ) )
= $false )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(499,plain,
! [SV77: mworld,SV10: mworld,SV39: mworld,SV63: mworld,SV51: $i,SV72: $i,SV24: $i] :
( ( ( in @ SV24 @ SV72 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(500,plain,
! [SV24: $i,SV72: $i,SV51: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(501,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV97: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV97 )
| ( in @ SV51 @ SV72 @ SV97 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( in @ SV24 @ SV72 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(502,plain,
! [SV74: $i,SV29: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV56: $i,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) ) )
= $false )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(503,plain,
! [SV79: mworld,SV15: mworld,SV44: mworld,SV68: mworld,SV56: $i,SV29: $i,SV74: $i] :
( ( ( in @ SV74 @ SV29 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(504,plain,
! [SV74: $i,SV29: $i,SV56: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(505,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV98: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV98 )
| ( in @ SV74 @ SV56 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( in @ SV74 @ SV29 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(506,plain,
! [SV47: $i,SV70: $i,SV5: mworld,SV32: mworld,SV59: mworld,SV19: $i,SV75: mworld] :
( ( ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( ! [SY343: mworld] :
( ~ ( mrel @ SV75 @ SY343 )
| ( qmltpeq @ SV19 @ SV70 @ SY343 ) ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(507,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV99: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV99 )
| ( qmltpeq @ SV19 @ SV70 @ SV99 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(508,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV100: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV100 )
| ( qmltpeq @ SV19 @ SV70 @ SV100 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(509,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV96: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV96 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV70 @ SV96 )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(510,plain,
! [SV24: $i,SV72: $i,SV10: mworld,SV39: mworld,SV63: mworld,SV51: $i,SV77: mworld] :
( ( ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( ! [SY348: mworld] :
( ~ ( mrel @ SV77 @ SY348 )
| ( in @ SV51 @ SV72 @ SY348 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(511,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV101: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV101 )
| ( in @ SV51 @ SV72 @ SV101 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( in @ SV24 @ SV72 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(512,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV102: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV102 )
| ( in @ SV51 @ SV72 @ SV102 ) )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(513,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV97: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV97 ) )
= $true )
| ( ( in @ SV51 @ SV72 @ SV97 )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( in @ SV24 @ SV72 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(514,plain,
! [SV74: $i,SV29: $i,SV15: mworld,SV44: mworld,SV68: mworld,SV56: $i,SV79: mworld] :
( ( ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( ! [SY353: mworld] :
( ~ ( mrel @ SV79 @ SY353 )
| ( in @ SV74 @ SV56 @ SY353 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(515,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV103: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV103 )
| ( in @ SV74 @ SV56 @ SV103 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( in @ SV74 @ SV29 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(516,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV104: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV104 )
| ( in @ SV74 @ SV56 @ SV104 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(517,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV98: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV98 ) )
= $true )
| ( ( in @ SV74 @ SV56 @ SV98 )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( in @ SV74 @ SV29 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(518,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV105: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV105 )
| ( qmltpeq @ SV19 @ SV70 @ SV105 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(519,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV99: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV99 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV70 @ SV99 )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(520,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV100: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV100 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV70 @ SV100 )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(521,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV96: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV96 )
= $false )
| ( ( qmltpeq @ SV19 @ SV70 @ SV96 )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(522,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV106: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV106 )
| ( in @ SV51 @ SV72 @ SV106 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(523,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV101: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV101 ) )
= $true )
| ( ( in @ SV51 @ SV72 @ SV101 )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( in @ SV24 @ SV72 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(524,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV102: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV102 ) )
= $true )
| ( ( in @ SV51 @ SV72 @ SV102 )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(525,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV97: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV97 )
= $false )
| ( ( in @ SV51 @ SV72 @ SV97 )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( in @ SV24 @ SV72 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(526,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV107: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV107 )
| ( in @ SV74 @ SV56 @ SV107 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(527,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV103: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV103 ) )
= $true )
| ( ( in @ SV74 @ SV56 @ SV103 )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( in @ SV74 @ SV29 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(528,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV104: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV104 ) )
= $true )
| ( ( in @ SV74 @ SV56 @ SV104 )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(529,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV98: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV98 )
= $false )
| ( ( in @ SV74 @ SV56 @ SV98 )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( in @ SV74 @ SV29 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(530,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV105: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV105 ) )
= $true )
| ( ( qmltpeq @ SV19 @ SV70 @ SV105 )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(531,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV99: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV99 )
= $false )
| ( ( qmltpeq @ SV19 @ SV70 @ SV99 )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( qmltpeq @ SV47 @ SV70 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $false )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(532,plain,
! [SV59: mworld,SV32: mworld,SV5: mworld,SV47: $i,SV70: $i,SV19: $i,SV100: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV100 )
= $false )
| ( ( qmltpeq @ SV19 @ SV70 @ SV100 )
= $true )
| ( ( qmltpeq @ SV19 @ SV47 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $false )
| ( ( mrel @ SV75 @ ( sK25_SY342 @ SV59 @ SV32 @ SV5 @ SV19 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(533,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV106: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV106 ) )
= $true )
| ( ( in @ SV51 @ SV72 @ SV106 )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(534,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV101: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV101 )
= $false )
| ( ( in @ SV51 @ SV72 @ SV101 )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( in @ SV24 @ SV72 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(535,plain,
! [SV63: mworld,SV39: mworld,SV10: mworld,SV24: $i,SV72: $i,SV51: $i,SV102: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV102 )
= $false )
| ( ( in @ SV51 @ SV72 @ SV102 )
= $true )
| ( ( qmltpeq @ SV24 @ SV51 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $false )
| ( ( mrel @ SV77 @ ( sK26_SY347 @ SV63 @ SV39 @ SV10 @ SV51 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(536,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV107: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV107 ) )
= $true )
| ( ( in @ SV74 @ SV56 @ SV107 )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(537,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV103: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV103 )
= $false )
| ( ( in @ SV74 @ SV56 @ SV103 )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( in @ SV74 @ SV29 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $false )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(538,plain,
! [SV68: mworld,SV44: mworld,SV15: mworld,SV29: $i,SV56: $i,SV74: $i,SV104: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV104 )
= $false )
| ( ( in @ SV74 @ SV56 @ SV104 )
= $true )
| ( ( qmltpeq @ SV29 @ SV56 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $false )
| ( ( mrel @ SV79 @ ( sK27_SY352 @ SV68 @ SV44 @ SV15 @ SV56 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(539,plain,
! [SV47: $i,SV59: mworld,SV32: mworld,SV5: mworld,SV70: $i,SV19: $i,SV105: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV105 )
= $false )
| ( ( qmltpeq @ SV19 @ SV70 @ SV105 )
= $true )
| ( ( mrel @ SV75 @ ( sK22_SY341 @ SV5 @ SV32 @ SV59 @ SV70 @ SV47 @ SV19 @ SV75 ) )
= $true )
| ( ( mrel @ SV75 @ ( sK28_SY342 @ SV19 @ SV59 @ SV32 @ SV5 @ SV70 @ SV47 @ SV75 ) )
= $true )
| ( ( mrel @ SV59 @ SV75 )
= $false )
| ( ( eiw_di @ SV70 @ SV59 )
= $false )
| ( ( mrel @ SV32 @ SV59 )
= $false )
| ( ( eiw_di @ SV47 @ SV32 )
= $false )
| ( ( mrel @ SV5 @ SV32 )
= $false )
| ( ( eiw_di @ SV19 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(540,plain,
! [SV24: $i,SV63: mworld,SV39: mworld,SV10: mworld,SV72: $i,SV51: $i,SV106: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV106 )
= $false )
| ( ( in @ SV51 @ SV72 @ SV106 )
= $true )
| ( ( mrel @ SV77 @ ( sK23_SY346 @ SV10 @ SV39 @ SV63 @ SV72 @ SV51 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV77 @ ( sK29_SY347 @ SV51 @ SV63 @ SV39 @ SV10 @ SV72 @ SV24 @ SV77 ) )
= $true )
| ( ( mrel @ SV63 @ SV77 )
= $false )
| ( ( eiw_di @ SV72 @ SV63 )
= $false )
| ( ( mrel @ SV39 @ SV63 )
= $false )
| ( ( eiw_di @ SV51 @ SV39 )
= $false )
| ( ( mrel @ SV10 @ SV39 )
= $false )
| ( ( eiw_di @ SV24 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(541,plain,
! [SV29: $i,SV68: mworld,SV44: mworld,SV15: mworld,SV56: $i,SV74: $i,SV107: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV107 )
= $false )
| ( ( in @ SV74 @ SV56 @ SV107 )
= $true )
| ( ( mrel @ SV79 @ ( sK24_SY351 @ SV15 @ SV44 @ SV68 @ SV74 @ SV56 @ SV29 @ SV79 ) )
= $true )
| ( ( mrel @ SV79 @ ( sK30_SY352 @ SV56 @ SV68 @ SV44 @ SV15 @ SV29 @ SV74 @ SV79 ) )
= $true )
| ( ( mrel @ SV68 @ SV79 )
= $false )
| ( ( eiw_di @ SV74 @ SV68 )
= $false )
| ( ( mrel @ SV44 @ SV68 )
= $false )
| ( ( eiw_di @ SV56 @ SV44 )
= $false )
| ( ( mrel @ SV15 @ SV44 )
= $false )
| ( ( eiw_di @ SV29 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(542,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[57,541,540,539,538,537,535,534,532,531,529,525,521,482,475,474,472,469,464,460,456,441,429,428,416,403,399,393,391,386,379,307,298,296,294,280,266,251,246,216,205,202,182,151,149,146,110,74]) ).
thf(543,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL952^12 : TPTP v8.1.0. Released v8.1.0.
% 0.09/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 03:45:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 No.of.Axioms: 17
% 0.18/0.46
% 0.18/0.46 Length.of.Defs: 1613
% 0.18/0.46
% 0.18/0.46 Contains.Choice.Funs: false
% 0.18/0.53 (rf:0,axioms:17,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:19,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................
% 0.83/1.07
% 0.83/1.07 ********************************
% 0.83/1.07 * All subproblems solved! *
% 0.83/1.07 ********************************
% 0.83/1.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.02/1.20
% 1.02/1.20 %**** Beginning of derivation protocol ****
% 1.02/1.20 % SZS output start CNFRefutation
% See solution above
% 1.02/1.20
% 1.02/1.20 %**** End of derivation protocol ****
% 1.02/1.20 %**** no. of clauses in derivation: 543 ****
% 1.02/1.20 %**** clause counter: 542 ****
% 1.02/1.20
% 1.02/1.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------